Linearity

Problem 6601

If 1585 plasma TVs are sold, how many flatscreen TVs were sold if the ratio is 3:5? Also, for 27,360 total seats sold, find general admission seats if the ratio is 4:5.

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Problem 6602

Solve for $x$ : $12 < -14(x+3) < 15$ . Type DNE if no solution exists. Provide your answer in interval notation.

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Problem 6603

Find three consecutive even integers where the smallest plus twice the median equals 20 more than the largest: $x + 2(x + 2) = (x + 4) + 20$ .

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Problem 6604

Find the intersection point of the lines defined by $y=3x$ and $y=-4x-49$ .

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Problem 6605

Solve the inequality: -6 ≤ x + 12. Provide the solution in interval notation.

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Problem 6606

Jasmine earned $\$ 25.20$ for 6 hours and $\$ 16.80$ for 4 hours. Find the function for her earnings $(c)$ based on hours $(h)$ .

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Problem 6607

The environmental club has 450 pounds of cans and collects 14 pounds weekly.
(i) Find the slope $m$ of the linear model. (ii) Find the starting value $b$ of the linear model. (iii) Predict pounds of cans by week 44. (iv) Predict weeks to reach 725 pounds.

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Problem 6608

Solve the system: 3x + 5y = -7 and 14x - 9y = 32. Choose from (2,1), (-2,1), (1,-2), (1,2).

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Problem 6609

A car on a $2.6^{\circ}$ incline faces $124 \mathrm{lb}$ resistance. Find the car's weight to the nearest hundred pounds.

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Problem 6610

Pham can work 15 hours weekly. Maximize earnings: Bookstore at \$9/hr, Café at \$12/hr (6 hrs), Garage at \$10/hr (5 hrs), Daycare at \$8.50/hr. How many hours at the bookstore? (Whole number answer)

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Problem 6611

What is the opportunity cost of buying one stapler if staplers are \$10 and pens are \$2.50, with a \$100 budget?

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Problem 6612

You have \$100 for books (\$25 each) or movie tickets (\$10 each). How do changes in budget or prices affect combinations?
A: Budget increases to \$150, prices same. increase
B: Budget \$100, books \$25, tickets rise to \$20. decrease
C: Budget \$100, tickets \$10, books drop to \$15. increase

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Problem 6613

Find the cost to rent a trailer for 3.3, 4, and 8.6 hours, given the rate of \$20 for 2 hours and \$10 per additional hour.

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Problem 6614

Solve for the missing value in the equation $-2(2x-\square)+1=17-4x$ that makes it an identity, has one solution, or no solution.

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Problem 6615

If two lines are perpendicular, what is the relationship between their slopes $m_1$ and $m_2$ ?

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Problem 6616

In the formula $y=m x+b$ , what sign do you expect for $m$ regarding car prices over the years? Explain.

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Problem 6617

Solve the inequality: $-\frac{2}{7}(3-4 x)+8<18$ .

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Problem 6618

Solve the inequality: $\frac{2}{7}(3-4 x)+8>18$ .

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Problem 6619

Solve these inequalities for 'x':
1) $\frac{2.6x - 4.8}{-2} + 3.2 < x$
2) $\frac{2}{7}(3 - 4x) + 8 > x$

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Problem 6620

Solve the inequality: $-3x + 4 < 5$ .

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Problem 6621

Find the fixed point of the function where $f(x)=-2x+3$ . Solve for $x$ such that $f(x)=x$ .

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Problem 6622

Find the fixed point of the function where $f(x)=\frac{1}{2} x-3$ and $f(x)=x$ . What is $x$ ?

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Problem 6623

Find the fixed point of the function where $f(x)=\frac{2}{3} x-\frac{1}{2}$ , i.e., solve $f(x)=x$ .

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Problem 6624

Solve the equation $m + 3 = 7$ for the value of $m$ .

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Problem 6625

Tushar's age is 7 times his daughter's. In 5 years, he'll be 4 times her age. Find their current ages.

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Problem 6626

Garima's father is 43, 19 years older than twice her age. Set up and solve the equation: $43 = 2x + 19$ .

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Problem 6627

Identify equivalent equations for $p-q=-93$ . Which of these are equivalent?
1. $\frac{p-q}{3}=-31$
2. $\frac{p-q}{3}=-32$
3. $\frac{p-q}{-3}=29$
4. $\frac{p-q}{-3}=31$

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Problem 6628

Identify equivalent equations to $15=t-u$ from the options: $20=t-u+5$ , $17=2+t-u$ , $18=t-u+3$ , $19=t-u+4$ .

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Problem 6629

Identify all equations equivalent to: $-30=14 y$ . Consider properties of equality. Options: $60=-2 \cdot 14 y$ , $-60=14 y \cdot 2$ , $90=14 y \cdot-3$ , $-90=14 y \cdot 3$ .

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Problem 6630

Find all equations equivalent to $12=4c$ using properties of equality: $2=4c-10$ , $9=4c-2$ , $10=4c-2$ , $4=4c-8$ .

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Problem 6631

Find all equations equivalent to: $-62 = r + s$ . Consider the following options.

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Problem 6632

Select equations equivalent to $15 = r + s$ using properties of equality: $20 = r + s + 5$ , $19 = 4 + r + s$ , $18 = 3 + r + s$ , $17 = r + s + 2$ .

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Problem 6633

Find the growth rate of corn if it is 1 m tall after 4 weeks and 1.8 m tall after 9 weeks. Options: A) 0.16 B) 0.31 C) 0.089 D) 6.25 E) 11.25.

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Problem 6634

Solve for $x$ in the equation: $12 x - 30 = -6$ .

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Problem 6635

Solve for $x$ : $3 x + 1 = 10$

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Problem 6636

Solve for $t$ in the equation: $8 - 3t = 2$ .

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Problem 6637

Solve for $y$ in the equation: $15 - 3y = 15$ .

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Problem 6638

Solve for $a$ in the equation $6 a + 5 = 9$ .

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Problem 6639

Solve for c in the equation: $8 \cdot 4 - 2 = 3c$ .

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Problem 6640

Solve for $c$ in the equation: $4 - 2 = 3c$ .

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Problem 6641

Solve the equation: $-8 x + 3 = -29$ .

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Problem 6642

Solve the inequality: $6 \leq n + 3 \frac{1}{4}$ .

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Problem 6643

Write the inequality: $6 \leq n + 3 \frac{1}{4}$ . Then solve for $n$ .

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Problem 6644

Evaluate $h + 9g$ for $g=4$ and $h=6$ .

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Problem 6645

Find the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=9x+1$ and $h \neq 0$ . Simplify your answer.

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Problem 6646

A fish starts at -10.8 m and descends 1.5 m every 2 min. How long to reach -37.8 m? Show your work and explain.

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Problem 6647

Find the average rate of change of $f(x)$ from $x_{1}=-3$ to $x_{2}=8.5$ for $f(x)=7x-8$ . Round to the nearest hundredth.

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Problem 6648

Solve for $m$ in the equation: $251 = m - 8(5m - 7)$ .

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Problem 6649

Find the length of segment $\overline{F G}$ given $F H=5 x+2$ , $G H=5 x-9$ , and $F G=x+5$ .

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Problem 6650

Find the average rate of change of $f(x)=6x+9$ from $x_1=3.5$ to $x_2=9$ , rounded to the nearest whole number.

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Problem 6651

Return Multiple Choice 20 points used to find the possible values for $p$ ? $\begin{array}{l} p-7>50 \\ p-7<50 \\ p+7 \geq 50 \\ p+7 \leq 50 \end{array}$ Multiple Chaice 20 points

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Problem 6652

1. Solve the system by graphing. $\begin{array}{l} y=\frac{3}{4} x+3 \begin{array}{l} \text { slope } \cdot \frac{3}{4} \\ y \text {-ill }: 3^{3} \end{array} \\ y=3 x-6 \begin{array}{l} \text { slope: } \frac{3}{1} \\ \text { y-int: - } 6 \end{array} \end{array}$
Answer: $\qquad$

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Problem 6653

Translate this phrase into an algebraic expression. 19 more than twice Janelle's savings Use the variable $j$ to represent Janelle's savings. $\square$ $+\square$ ㅁ-ロ $\times \square$

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Problem 6654

4.) Leo spent less than $\$ 50$ on pizza for friends. He purchased 4 large pizzas. He says the cost of each pizza, p, in dollars, can be represented by the inequality statement $4 p<50$ . What is the solution to this inequality and what does it mean in that context? a) The solution is $p=12.5$ and it means each pizza costs $\$ 12.50$ . b) The solution is $p<12.5$ and it means each pizza costs less than \ $12.50. c) The solution is$ p>12.5 $and it means each pizza costs more than \$12.50. d) The solution is$ p<46 $and it means each pizza costs less than$ \ $46$ .

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Problem 6655

Find the $x$ -and $y$ -intercepts of the graph of the linear equation $2 x+3 y=12$
The $x$ -intercept is $\square$ 7.
The $y$ -intercept is $\square$

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Problem 6656

A 55-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.30 . A $140-\mathrm{N}$ force is applied to the box. What is the frictional force on the box?

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Problem 6657

This is the graph of a linear inequality. Write the inequality in slope-intercept form.
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 6658

After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams $t$ that started the competition.
An equation that represents this situation is .
Number of teams that started the competition:

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Problem 6659

In the figure, an airport luggage carrying train with a tractor (T) is pulling three luggage carts, $M_1$ , $M_2$ , and $M_3$ , with constant velocity of $4.5$ m/s. If $T = 50$ kg, $M_1 = 40$ kg, $M_2 = 15$ kg, and $M_3 = 10$ kg (there is no friction), then the force in the connection between the tractor (T) and cart $M_1$ is:

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Problem 6660

7. Jada walks up to a tank of water that can hold up to 12 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 8 gallons of water. Three minutes later, the tank contains 6 gallons of water.
a. At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.
b. How many more minutes will it take for the tank to drain completely? Explain or show your reasoning.
c. How many minutes before Jada arrived was the water tank completely full? Explain or show your reasoning.

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Problem 6661

Translate the following sentence to an equation. Then solve the equation. Twenty-six less a number is equal to the product of 2 and the sum of the number and 7 . Find the number.
The equation is $\square$ (Type an equation using $x$ as the variable. Do not simplify.) The number is $\square$ $\square$ . (Simplify your answer.)

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Problem 6662

Question 3 (1 point) George started a coin collection. His dad gave him 75 coins. Each month he will add 20 coins to the collection.
Write an equation (splope-intercept form) that can be used to find $y$ , the total number of coins in George's collection after $x$ months? $y=20 x+75$ (no spaces)
Blank 1: $y=20 x+75$

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Problem 6663

Question 23 Solve: $2x + 4 < -6$ State your solution as a simple inequality, e.g., $x < A$ or $x > A$ Question Help: Video Submit Question
Question 24 Solve: $-8 - 3x \le -5$ Give your answer as an inequality and reduce any fractions. Question Help: Video Submit Question

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Problem 6664

Question: 10 Look at the system of equations graphed below. .75
What is the solution to the system? A. $x=-2, y=1$ B. $x=-1, y=2$ C. $x=2, y=1$ D. $x=2, y=-1$

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Problem 6665

$2(4 y-5)=70$
Simplify your answer as much as possible. $y=$

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Problem 6666

Identifying a Rate Table
In an arcade, 12 tickets are awarded for every game won. Which table represents this relationship?
\begin{tabular}{|c|c|} \hline Tickets & \begin{tabular}{c} Games \\ Won \end{tabular} \\ \hline 1 & 12 \\ \hline 2 & 24 \\ \hline 3 & 36 \\ \hline \end{tabular}
\begin{tabular}{|c|c|} \hline Tickets & \begin{tabular}{c} Games \\ Won \end{tabular} \\ \hline 12 & 1 \\ \hline 24 & 2 \\ \hline 36 & 3 \\ \hline \end{tabular}
\begin{tabular}{|c|c|} \hline Tickets & \begin{tabular}{c} Games \\ Won \end{tabular} \\ \hline 12 & 1 \\ \hline 13 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}

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Problem 6667

r07.core.learn.edgenuity.com/player/ hematics \begin{tabular}{|c|c|} \hline Days to Set Up & \begin{tabular}{c} Number of \\ Concerts \end{tabular} \\ \hline 1.5 & 1 \\ \hline 3 & 2 \\ \hline 4.5 & 3 \\ \hline $x$ & 4 \\ \hline 7.5 & 5 \\ \hline \end{tabular}
Stage hands set up a new stage for a concert in the arena every 1.5 days.
Use proportional reasoning to find the value of $x$ that completes the table showing this relationship. $\square$ Done search

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Problem 6668

1 week
Lesson 3: Solving systems of - Combining equations - Elimination strategies - systems of equations with elimina.
Solve the system of equations. $\begin{aligned} & -5 x+8 y=0 \\ & -7 x-8 y=-96 \\ x & =48 \\ y & =-39 \end{aligned}$
Related content sting in systems of equations with elimination: $x-4 y=-18 c$ Microsoft Teams 0 shaunacapers

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Problem 6669

2. As the school's sign language interpreter, Kiran gets paid $\$ 35.50$ for every parent-teacher conference that he attends. He also gets paid $\$ 42$ per school-related assembly that he attends as an interpreter. If Kiran earns $\$ 991$ for 27 paid events, how many parent-teacher conferences and how many school-related assemblies did he attend? Write a system of equations, describe each variable, and solve.

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Problem 6670

Quiz Active TME REMA 1 2 3 4. 16 6 7 6 9 10 58:57
A glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Glacial Movement } \\ \hline Distance Moved (inches) & \begin{tabular}{c} Time \\ (hours) \end{tabular} \\ \hline 0.3 & 1 \\ \hline 0.6 & 2 \\ \hline 0.9 & 3 \\ \hline $x$ & 4 \\ \hline \hline \end{tabular}
What value of $x$ completes the table? 1.2 1.5 3.6 13.3 Mark this and return Save and Exit Nant Submit ontentViewers/AssessmentViewer/Activity\#

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Problem 6671

To solve any equation, "undo" the operations/numbers on the variable side by using the inverse. Remember, what you do to one side of the equation, must be done to the other (to keep it balanced). Work BACKWARDS using the Order of Operations.
Solve $9 + 4x = 9$
Addition and Subtraction are Inverses. Multiplication and Division are Inverses.

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Problem 6672

When might we use this? Let's see... Your $\$128$ regular pay, plus tips, was $\$237$ . How much were the tips?
A store decreased its price on a computer by $\$112$ to $\$478$ . What was the original price? REMEMBER TO CHECK YOUR SOLUTION!

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Problem 6673

$2x + y \geq 4$ $2x + y < 4$ $2x + y > 4$ $y > 6$ $y \leq 6$ $x \leq 6$ $(-1, 6)$ Look At the graph: Select two linear inequalities whose solution is shown in the graph.

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Problem 6674

$8 = \frac{1}{2}(3x + 10)$

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Problem 6675

Objects 1 and 2 attract each other with a gravitational force of 18.0 units. If the mass of Object 2 is tripled, then the new gravitational force will be units. Tap in the field to enter the answer OR tap on the icon to use our built-in Number Pad. New Grav. Force = units

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Problem 6676

What is the slope of the line that passes through the points $(-9, 0)$ and $(-17, 4)$ ? Write your answer in simplest form. Answer Attempt 1 out of 2

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Problem 6677

2 2) $j+5=18$

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Problem 6678

Find the equation of the line shown.

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Problem 6679

Solve the following: a) $4 x-3=2 x+7$
Optional working
Answer

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Problem 6680

Question: 15 Look
Tracy works at a hot dog stand. - She sells 3 hot dogs and 2 pretzels for $\$ 15.00$ . - She sells 5 hot dogs and 1 pretzel for $\$ 21.50$ .
This situation can be modeled by the system of equations shown below. $\left\{\begin{array}{l} 3 h+2 p=15 \\ 5 h+p=21.5 \end{array}\right.$
Then Tracy sells 2 hot dogs and 4 pretzels. What is the total cost of this order? A. $\$ 14.00$ B. $\$ 19.00$ C. $\$ 21.42$ D. $\$ 26.26$

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Problem 6681

If the Macaulay Duration of the Bond is 7.7 semi-annual years and semi-annual yield is $5 \%$ (i.e., YTM $=10 \%$ , remember YTM is always an APR and is quoted on an annual basis). What is the \% change in the bond price $\left(\frac{\Delta P}{P}\right)$ for a 10 bps decrease in semi-annual yield (i.e. 20bps decrease in annual yield)? ( $1 \mathrm{bps}=0.01 \%$ ) Use the linear approximation formula that ignores convexity (1 mark) $\frac{\Delta P}{P}=-D^{\text {Modifled }}(\Delta Y)$ A. 75 bps or $0.75 \%$ B. 73.33 bps or $0.7333 \%$ C. 71 bps or 0.71\% D. 72 bps or 0.72\%

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Problem 6682

7. Solve the system: $\left\{\begin{array}{l}7 x-3 y=-14 \\ -3 x+y=6\end{array}\right.$

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Problem 6683

$(-4.3v + 3.4t) - (2.8v - 4.1t)$

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Problem 6684

Use Cramer's rule to solve the system $\begin{cases} 12x - 14y = 62 \\ 4x + 13y = 3 \end{cases}$ . If there is a solution, write your answer in the format $(x, y)$ . Answer 2 Points Selecting an option will display any text boxes needed to complete your answer. No Solution One Solution Infinitely Many Solutions

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Problem 6685

70 / 212 Marks
Work out the equation of the line which has a gradient of 2 and passes through the point (1,4). Optional working

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Problem 6686

Halla el valor de la variable desconocida. $\begin{array}{l} \mathbf{A}=\mathbf{P}+\text { Prt; Dado } \mathbf{A}=1600, P=100, r=3 \\ \mathbf{t 1}=\square \text { Hecho } \end{array}$

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Problem 6687

Determina le equazioni delle rette passanti per $P(0,1)$ la cui distanza dal punto $Q(1,0)$ è $\frac{\sqrt{5}}{5}$ . $\left[y=-2 x+1, y=-\frac{1}{2} x\right]$

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Problem 6688

Solve the compound inequality. on a number line. 5) $-4 \le -4x - 12 < 4$

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Problem 6689

Solve the equation by expressing 6) $3(3x - 6) = 27$

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Problem 6690

Use the given conditions to write an equation for the line in slope-intercept form. 10) Passing through $(-1, 5)$ and $(6, 4)$

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Problem 6691

Use the given conditions to write an equation for the line in point-slope form. 12) Passing through $(8, 8)$ and $(6, 5)$

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Problem 6692

For the following equation, find three ordered pair solutions by completing the table. Then use the order pairs to graph the equation. $y=2 x$
Find three ordered pair solutions of the given equation \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 0 \\ \hline-2 & $\square$ \\ \hline \end{tabular}

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Problem 6693

on 7 Question 2, 7.7.3 Part 3 of 4
For the following equation, find three ordered pair solutions by completing the table. Then use the orde pairs to graph the equation. $y=2 x$
Find three ordered pair solutions of the giver equatio \begin{tabular}{|c|c|} \hline $\mathbf{x}$ & $\mathbf{y}$ \\ \hline 0 & 0 \\ \hline-2 & $-4^{2}$ \\ \hline 1 & $\square$ \\ \hline \end{tabular}

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Problem 6694

Adult tickets to Century Cinema cost \ $9.50. Children's tickets cost$ \ $5.75$ . The Neighborhood Movie Club purchased 34 tickets for a total cost of $\$ 240.50$ . Which system of equations can be used to determine $x$ , the number of adult tickets purchased, and $y$ , the number of children's tickets purchased? $\begin{array}{l} 5.75 x+9.5 y=34 \\ x+y=240.5 \end{array}$ (B) $\begin{array}{l} 5.75 x+9.5 y=240.5 \\ x+y=34 \end{array}$ (C) $\begin{array}{l} 9.5 x+5.75 y=240.5 \\ x+y=34 \end{array}$ $\begin{array}{l} \text { (D) } 9.5 x+5.75 y=34 \\ x+y=240.5 \end{array}$

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Problem 6695

For the following equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation. $y=2 x$
To graph this linear equation, find three ordered pair solutions. Since this equation is solved for $y$ , choose three values for $x$ .
If $x=0, y=2 \cdot 0=$ $\square$

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Problem 6696

Use the given conditions to write an equation for the line in the indicated form. 20) Passing through $(3, -4)$ and parallel to the line whose equation is $y = -7x + 9$ ; slope-intercept form

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Problem 6697

5 times the sum of $x$ and 3.

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Problem 6698

Rewrite the following equation in slope-intercept form.
$13y = 2x - 2$
Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Problem 6699

15. In a football game, all of the home team's points are from 7 -point touchdowns and 3-point field goals. The team scores six times. Write and solve a system of linear equations to find the numbers of touchdowns and field goals that the home team scores. (Section 5.1, Section 5.2, and Section 5.3)

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Problem 6700

Is $(-7, -10)$ a solution to this system of inequalities?
$y \le -4$
$20x - 16y \ge 20$
yes
no
Submit

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1 ...64 65 66 67 68 69 70 ...76

Linearity

Problem 6601

If 1585 plasma TVs are sold, how many flatscreen TVs were sold if the ratio is 3:5? Also, for 27,360 total seats sold, find general admission seats if the ratio is 4:5.

Problem 6602

Solve for xxx: 12<−14(x+3)<1512 < -14(x+3) < 1512<−14(x+3)<15. Type DNE if no solution exists. Provide your answer in interval notation.

Problem 6603

Find three consecutive even integers where the smallest plus twice the median equals 20 more than the largest: x+2(x+2)=(x+4)+20x + 2(x + 2) = (x + 4) + 20x+2(x+2)=(x+4)+20.

Problem 6604

Find the intersection point of the lines defined by y=3xy=3xy=3x and y=−4x−49y=-4x-49y=−4x−49.

Problem 6605

Solve the inequality: -6 ≤ x + 12. Provide the solution in interval notation.

Problem 6606

Jasmine earned $25.20\$ 25.20$25.20 for 6 hours and $16.80\$ 16.80$16.80 for 4 hours. Find the function for her earnings (c)(c)(c) based on hours (h)(h)(h).

Problem 6607

The environmental club has 450 pounds of cans and collects 14 pounds weekly. (i) Find the slope mmm of the linear model. (ii) Find the starting value bbb of the linear model. (iii) Predict pounds of cans by week 44. (iv) Predict weeks to reach 725 pounds.

Problem 6608

Solve the system: 3x + 5y = -7 and 14x - 9y = 32. Choose from (2,1), (-2,1), (1,-2), (1,2).

Problem 6609

A car on a 2.6∘2.6^{\circ}2.6∘ incline faces 124lb124 \mathrm{lb}124lb resistance. Find the car's weight to the nearest hundred pounds.

Problem 6610

Pham can work 15 hours weekly. Maximize earnings: Bookstore at \$9/hr, Café at \$12/hr (6 hrs), Garage at \$10/hr (5 hrs), Daycare at \$8.50/hr. How many hours at the bookstore? (Whole number answer)

Problem 6611

What is the opportunity cost of buying one stapler if staplers are \$10 and pens are \$2.50, with a \$100 budget?

Problem 6612

You have \$100 for books (\$25 each) or movie tickets (\$10 each). How do changes in budget or prices affect combinations?A: Budget increases to \$150, prices same. increase B: Budget \$100, books \$25, tickets rise to \$20. decrease C: Budget \$100, tickets \$10, books drop to \$15. increase

Problem 6613

Find the cost to rent a trailer for 3.3, 4, and 8.6 hours, given the rate of \$20 for 2 hours and \$10 per additional hour.

Problem 6614

Solve for the missing value in the equation −2(2x−□)+1=17−4x-2(2x-\square)+1=17-4x−2(2x−□)+1=17−4x that makes it an identity, has one solution, or no solution.

Problem 6615

If two lines are perpendicular, what is the relationship between their slopes m1m_1m1​ and m2m_2m2​?

Problem 6616

In the formula y=mx+by=m x+by=mx+b, what sign do you expect for mmm regarding car prices over the years? Explain.

Problem 6617

Solve the inequality: −27(3−4x)+8<18-\frac{2}{7}(3-4 x)+8<18−72​(3−4x)+8<18.

Problem 6618

Solve the inequality: 27(3−4x)+8>18\frac{2}{7}(3-4 x)+8>1872​(3−4x)+8>18.

Problem 6619

Solve these inequalities for 'x': 1) 2.6x−4.8−2+3.2<x\frac{2.6x - 4.8}{-2} + 3.2 < x−22.6x−4.8​+3.2<x2) 27(3−4x)+8>x\frac{2}{7}(3 - 4x) + 8 > x72​(3−4x)+8>x

Problem 6620

Solve the inequality: −3x+4<5-3x + 4 < 5−3x+4<5.

Problem 6621

Find the fixed point of the function where f(x)=−2x+3f(x)=-2x+3f(x)=−2x+3. Solve for xxx such that f(x)=xf(x)=xf(x)=x.

Problem 6622

Find the fixed point of the function where f(x)=12x−3f(x)=\frac{1}{2} x-3f(x)=21​x−3 and f(x)=xf(x)=xf(x)=x. What is xxx?

Problem 6623

Find the fixed point of the function where f(x)=23x−12f(x)=\frac{2}{3} x-\frac{1}{2}f(x)=32​x−21​, i.e., solve f(x)=xf(x)=xf(x)=x.

Problem 6624

Solve the equation m+3=7m + 3 = 7m+3=7 for the value of mmm.

Problem 6625

Tushar's age is 7 times his daughter's. In 5 years, he'll be 4 times her age. Find their current ages.

Problem 6626

Garima's father is 43, 19 years older than twice her age. Set up and solve the equation: 43=2x+1943 = 2x + 1943=2x+19.

Problem 6627

Identify equivalent equations for p−q=−93p-q=-93p−q=−93. Which of these are equivalent? 1. p−q3=−31\frac{p-q}{3}=-313p−q​=−31 2. p−q3=−32\frac{p-q}{3}=-323p−q​=−32 3. p−q−3=29\frac{p-q}{-3}=29−3p−q​=29 4. p−q−3=31\frac{p-q}{-3}=31−3p−q​=31

Problem 6628

Identify equivalent equations to 15=t−u15=t-u15=t−u from the options: 20=t−u+520=t-u+520=t−u+5, 17=2+t−u17=2+t-u17=2+t−u, 18=t−u+318=t-u+318=t−u+3, 19=t−u+419=t-u+419=t−u+4.

Problem 6629

Identify all equations equivalent to: −30=14y-30=14 y−30=14y. Consider properties of equality. Options: 60=−2⋅14y60=-2 \cdot 14 y60=−2⋅14y, −60=14y⋅2-60=14 y \cdot 2−60=14y⋅2, 90=14y⋅−390=14 y \cdot-390=14y⋅−3, −90=14y⋅3-90=14 y \cdot 3−90=14y⋅3.

Problem 6630

Find all equations equivalent to 12=4c12=4c12=4c using properties of equality: 2=4c−102=4c-102=4c−10, 9=4c−29=4c-29=4c−2, 10=4c−210=4c-210=4c−2, 4=4c−84=4c-84=4c−8.

Problem 6631

Find all equations equivalent to: −62=r+s-62 = r + s−62=r+s. Consider the following options.

Problem 6632

Select equations equivalent to 15=r+s15 = r + s15=r+s using properties of equality: 20=r+s+520 = r + s + 520=r+s+5, 19=4+r+s19 = 4 + r + s19=4+r+s, 18=3+r+s18 = 3 + r + s18=3+r+s, 17=r+s+217 = r + s + 217=r+s+2.

Problem 6633

Find the growth rate of corn if it is 1 m tall after 4 weeks and 1.8 m tall after 9 weeks. Options: A) 0.16 B) 0.31 C) 0.089 D) 6.25 E) 11.25.

Problem 6634

Solve for xxx in the equation: 12x−30=−612 x - 30 = -612x−30=−6.

Problem 6635

Solve for xxx: 3x+1=103 x + 1 = 103x+1=10

Problem 6636

Solve for ttt in the equation: 8−3t=28 - 3t = 28−3t=2.

Problem 6637

Solve for yyy in the equation: 15−3y=1515 - 3y = 1515−3y=15.

Problem 6638

Solve for aaa in the equation 6a+5=96 a + 5 = 96a+5=9.

Problem 6639

Solve for c in the equation: 8⋅4−2=3c8 \cdot 4 - 2 = 3c8⋅4−2=3c.

Problem 6640

Solve for $x$ : $12 < -14(x+3) < 15$ . Type DNE if no solution exists. Provide your answer in interval notation.

Find three consecutive even integers where the smallest plus twice the median equals 20 more than the largest: $x + 2(x + 2) = (x + 4) + 20$ .

Find the intersection point of the lines defined by $y=3x$ and $y=-4x-49$ .

Jasmine earned $\$ 25.20$ for 6 hours and $\$ 16.80$ for 4 hours. Find the function for her earnings $(c)$ based on hours $(h)$ .

The environmental club has 450 pounds of cans and collects 14 pounds weekly.
(i) Find the slope $m$ of the linear model. (ii) Find the starting value $b$ of the linear model. (iii) Predict pounds of cans by week 44. (iv) Predict weeks to reach 725 pounds.

A car on a $2.6^{\circ}$ incline faces $124 \mathrm{lb}$ resistance. Find the car's weight to the nearest hundred pounds.

You have \$100 for books (\$25 each) or movie tickets (\$10 each). How do changes in budget or prices affect combinations?
A: Budget increases to \$150, prices same. increase
B: Budget \$100, books \$25, tickets rise to \$20. decrease
C: Budget \$100, tickets \$10, books drop to \$15. increase

Solve for the missing value in the equation $-2(2x-\square)+1=17-4x$ that makes it an identity, has one solution, or no solution.

If two lines are perpendicular, what is the relationship between their slopes $m_1$ and $m_2$ ?

In the formula $y=m x+b$ , what sign do you expect for $m$ regarding car prices over the years? Explain.

Solve the inequality: $-\frac{2}{7}(3-4 x)+8<18$ .

Solve the inequality: $\frac{2}{7}(3-4 x)+8>18$ .

Solve these inequalities for 'x':
1) $\frac{2.6x - 4.8}{-2} + 3.2 < x$
2) $\frac{2}{7}(3 - 4x) + 8 > x$

Solve the inequality: $-3x + 4 < 5$ .

Find the fixed point of the function where $f(x)=-2x+3$ . Solve for $x$ such that $f(x)=x$ .

Find the fixed point of the function where $f(x)=\frac{1}{2} x-3$ and $f(x)=x$ . What is $x$ ?

Find the fixed point of the function where $f(x)=\frac{2}{3} x-\frac{1}{2}$ , i.e., solve $f(x)=x$ .

Solve the equation $m + 3 = 7$ for the value of $m$ .

Garima's father is 43, 19 years older than twice her age. Set up and solve the equation: $43 = 2x + 19$ .

Identify equivalent equations for $p-q=-93$ . Which of these are equivalent?
1. $\frac{p-q}{3}=-31$
2. $\frac{p-q}{3}=-32$
3. $\frac{p-q}{-3}=29$
4. $\frac{p-q}{-3}=31$

Identify equivalent equations to $15=t-u$ from the options: $20=t-u+5$ , $17=2+t-u$ , $18=t-u+3$ , $19=t-u+4$ .

Identify all equations equivalent to: $-30=14 y$ . Consider properties of equality. Options: $60=-2 \cdot 14 y$ , $-60=14 y \cdot 2$ , $90=14 y \cdot-3$ , $-90=14 y \cdot 3$ .

Find all equations equivalent to $12=4c$ using properties of equality: $2=4c-10$ , $9=4c-2$ , $10=4c-2$ , $4=4c-8$ .

Find all equations equivalent to: $-62 = r + s$ . Consider the following options.

Select equations equivalent to $15 = r + s$ using properties of equality: $20 = r + s + 5$ , $19 = 4 + r + s$ , $18 = 3 + r + s$ , $17 = r + s + 2$ .

Solve for $x$ in the equation: $12 x - 30 = -6$ .

Solve for $x$ : $3 x + 1 = 10$

Solve for $t$ in the equation: $8 - 3t = 2$ .

Solve for $y$ in the equation: $15 - 3y = 15$ .

Solve for $a$ in the equation $6 a + 5 = 9$ .

Solve for c in the equation: $8 \cdot 4 - 2 = 3c$ .

Solve for $c$ in the equation: $4 - 2 = 3c$ .

Solve the equation: $-8 x + 3 = -29$ .

Solve the inequality: $6 \leq n + 3 \frac{1}{4}$ .

Write the inequality: $6 \leq n + 3 \frac{1}{4}$ . Then solve for $n$ .

Evaluate $h + 9g$ for $g=4$ and $h=6$ .

Find the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=9x+1$ and $h \neq 0$ . Simplify your answer.

Find the average rate of change of $f(x)$ from $x_{1}=-3$ to $x_{2}=8.5$ for $f(x)=7x-8$ . Round to the nearest hundredth.

Solve for $m$ in the equation: $251 = m - 8(5m - 7)$ .

Find the length of segment $\overline{F G}$ given $F H=5 x+2$ , $G H=5 x-9$ , and $F G=x+5$ .

Find the average rate of change of $f(x)=6x+9$ from $x_1=3.5$ to $x_2=9$ , rounded to the nearest whole number.

Return Multiple Choice 20 points used to find the possible values for $p$ ? $\begin{array}{l} p-7>50 \\ p-7<50 \\ p+7 \geq 50 \\ p+7 \leq 50 \end{array}$ Multiple Chaice 20 points

Translate this phrase into an algebraic expression. 19 more than twice Janelle's savings Use the variable $j$ to represent Janelle's savings. $\square$ $+\square$ ㅁ-ロ $\times \square$

Find the $x$ -and $y$ -intercepts of the graph of the linear equation $2 x+3 y=12$
The $x$ -intercept is $\square$ 7.
The $y$ -intercept is $\square$

A 55-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.30 . A $140-\mathrm{N}$ force is applied to the box. What is the frictional force on the box?

This is the graph of a linear inequality. Write the inequality in slope-intercept form.
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. $\square$

After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams $t$ that started the competition.
An equation that represents this situation is .
Number of teams that started the competition:

Question: 10 Look at the system of equations graphed below. .75
What is the solution to the system? A. $x=-2, y=1$ B. $x=-1, y=2$ C. $x=2, y=1$ D. $x=2, y=-1$

$2(4 y-5)=70$
Simplify your answer as much as possible. $y=$

When might we use this? Let's see... Your $\$128$ regular pay, plus tips, was $\$237$ . How much were the tips?
A store decreased its price on a computer by $\$112$ to $\$478$ . What was the original price? REMEMBER TO CHECK YOUR SOLUTION!

$2x + y \geq 4$ $2x + y < 4$ $2x + y > 4$ $y > 6$ $y \leq 6$ $x \leq 6$ $(-1, 6)$ Look At the graph: Select two linear inequalities whose solution is shown in the graph.

$8 = \frac{1}{2}(3x + 10)$