Solve

Problem 24401

Calculate the mass of $\mathrm{NaCl}$ needed for 0.1 L of a 0.5 M solution. Molecular weight is $58.44 \mathrm{~g}$ .

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Problem 24402

A customer orders 10 pipe brackets needing $42-3 / 4^{\prime \prime}$ of pipe each. How much total pipe is required in feet and inches?

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Problem 24403

Tyler walked $3 \frac{3}{8}$ miles on Monday and $2 \frac{5}{6}$ on Tuesday. What is his total walking distance?

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Problem 24404

A customer wants as many $61 / 4^{\prime \prime}$ pieces of $1 / 2$ '' roundstock from a 48'' piece. How many can you provide?

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Problem 24405

Solve for $b$ in the equation: $3(b-8)=-3$ . What is the value of $b$ ?

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Problem 24406

Jacey has 3 containers (3 in x 4 in). How many inches of mulch does she need for the tops?

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Problem 24407

A customer wants $61 / 4^{\prime \prime}$ pieces of $1 / 2$ ' roundstock from a $48^{\prime \prime}$ piece. How many can you provide, considering $1 / 8^{\text{"}}$ waste?

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Problem 24408

Solve for $d$ in the equation $4=\frac{d+9}{3}$ . What is $d$ ?

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Problem 24409

A cash register has quarters and \$20 bills. There are 3 times as many quarters as \$20s. Total is \$166. How many \$20s?

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Problem 24410

Find the slope of the line through points J(1,-4) and K(-2,8). Options: A. -4 B. -2 C. $-\frac{1}{4}$ D. $\frac{1}{4}$ E. 4

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Problem 24411

Solve for $j$ in the equation: $19j - 18j = 12$ . What is the value of $j$ ?

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Problem 24412

Solve for $a$ : $-27=-12+a$

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Problem 24413

Solve for $y$ in the equation $11y - 8y - 2 = 10$ . Find $y = \square$ .

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Problem 24414

Solve for $b$ : $\frac{b - 4}{4} = 4$

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Problem 24415

Find the midpoint of $\overline{\mathrm{GH}}$ with endpoints $G(14,3)$ and $H(10,-6)$ . Choices: A. $(6,-15)$ B. $\left(-2,-\frac{9}{2}\right)$ C. $\left(12,-\frac{3}{2}\right)$ D. $(24,-3)$ E. $(18,12)$ .

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Problem 24416

Find missing values A, B, C, and D in the ratio table: A, 18, 30, C, 3; 7, B, 5, 4, D.

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Problem 24417

Find the width and length of a rectangle where length = $3w + 9$ and perimeter = 178 inches.

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Problem 24418

Solve the system: $a - 3b = 24$ and $a + 2b = -16$ .

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Problem 24419

The rectangle's length is 13 less than twice the width, with a perimeter of 154 yards. Find width and length. Width $=$ Length $=$

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Problem 24420

Find the dimensions of a rectangular garden that is $10 \mathrm{ft}$ longer than its width and has an area of $200 \mathrm{ft}^{2}$ .

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Problem 24421

Calculate the probability of drawing 2 chocolates from a bag with 12 chocolates, 5 gums, and 4 taffies. Round to three decimals.

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Problem 24422

Find the length of segment $\overline{C D}$ if $C D=x$ , $B C=5x-5$ , and $B D=2x+7$ .

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Problem 24423

Find the length of $\overline{L M}$ given $M N=3 x$ , $L N=4 x+9$ , and $L M=2 x+7$ .

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Problem 24424

Find the length of $\overline{I J}$ given $H I=x$ , $I J=2x+9$ , and $H J=4x$ .

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Problem 24425

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Problem 24426

Find the length of $\overline{N O}$ given $N P=3x$ , $N O=2x$ , and $O P=8$ .

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Problem 24427

Jenny is 8 years older than 2 times Sue's age. Their ages sum to less than 32. What is Sue's max age? 7, 8, 9, 10

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Problem 24428

Find the largest integer such that the sum of two consecutive integers is $\leq 209$ .

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Problem 24429

What score does Vanessa need on her fourth quiz to average at least 40 if her scores are 45, 32, and 37?

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Problem 24430

Find the length of segment $\overline{K M}$ if $L M=10$ and $K L=4$ .

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Problem 24431

Find the density of silver if $20.0 \mathrm{~mL}$ of water rises to $22.4 \mathrm{~mL}$ after adding $25.0 \mathrm{~g}$ of silver.

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Problem 24432

Solve the system of equations: $m+n=-3$ and $m-4n=27$ .

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Problem 24433

Alicia's meal had 20g carbs, 35g protein, and 20g fat. Find the percentage of calories from each macronutrient.

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Problem 24434

Solve for $\mathrm{m} \angle \mathrm{DEF}$ given $\mathrm{m} \angle \mathrm{DEG}=83^{\circ}$ and $\mathrm{m} \angle \mathrm{GEF}=60^{\circ}$ .

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Problem 24435

Find the least common denominator of $\frac{4}{35}, \frac{1}{77}, \frac{3}{22}$ . Options: A. 110 B. 770 C. 2,695 D. 8,470 E. 59,290

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Problem 24436

Find $(f+g)(x)$ for $f(x)=x^{3}-2 x^{2}+1$ and $g(x)=4 x^{3}-5 x+7$ .

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Problem 24437

Find $m \angle WDC$ given $m \angle EDC = 145^{\circ}$ and $m \angle EDW = 61^{\circ}$ .

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Problem 24438

Find $(f-g)(x)$ for $f(x)=\frac{2 x+6}{3 x}$ and $g(x)=\frac{\sqrt{x}-8}{3 x}$ .

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Problem 24439

Calculate the decimal value of $2.8 + 7.\overline{2}$ .

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Problem 24440

Calculate the mass change (in kg) per mole of $\mathrm{H}_{2}$ formed in the reaction: $\mathrm{H} + \mathrm{H} \rightarrow \mathrm{H}_{2}$ , $\Delta H^{\circ}=-436.4 \mathrm{~kJ/mol}$ .

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Problem 24441

Graph the system of equations: 4x - 5y = 0 and 8x - 5y = 20.

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Problem 24442

Find $(f \circ g)(x)$ for $f(x)=\frac{2}{x+3}$ and $g(x)=\frac{1}{2 x}$ .

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Problem 24443

Calculate the acceleration due to gravity at a height of 6989 meters using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

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Problem 24444

Find the acceleration due to gravity at the top of a 272m building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 24445

Find the acceleration due to gravity at 6320 meters using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 24446

Find $f(-4)$ for the function $f(x)=x^{2}-2x-6$ .

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Problem 24447

Find the acceleration due to gravity at the top of a 248-meter tall building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 24448

Calculate the square of the number using multiplication tables: $2^{2}$ .

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Problem 24449

Calculate the gravity $g(h)$ at 7051 m above sea level using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

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Problem 24450

Find the missing exponent in $\frac{e^{?}}{e^{65}}=e^{38}$ .

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Problem 24451

Find the square root of 121. If $11 \cdot 11=121$ , then $\sqrt{121}=$ 10, 11, -12, or -13?

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Problem 24452

Find side $c$ in right triangle $ABC$ with $a=8$ and $b=15$ using the Pythagorean theorem. Then, find trig functions for angle B.

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Problem 24453

Find the square root: If $20 \cdot 20=400$ , then $\sqrt{400}=$ ? Options: -15, 10, 200, 20.

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Problem 24454

Find the acceleration due to gravity at a height of 305 meters using the formula $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

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Problem 24455

Find $k$ such that $y=\frac{1}{k x^{3}}$ solves $\frac{d y}{d x}=13 x^{2} y^{2}$ . Round to the nearest tenth.

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Problem 24456

Find the square root of 81. If $9 \cdot 9=81$ , then $\sqrt{81}=$ ? Options: 3, 18, $-8$ , 9.

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Problem 24457

Find the square root of 100. If $10 \cdot 10=100$ , then $\sqrt{100}=$ 10, 50, $-9$ , or 25?

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Problem 24458

Calculate the acceleration due to gravity at the top of a 340 m building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 24459

Find the square root of the number. If $3 \cdot 3 = 9$ , then $\sqrt{9} = ?$ (Options: 4, 5, 3)

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Problem 24460

Calculate the acceleration due to gravity at the top of a 281-meter building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 24461

Calculate the square root of 13 to two decimal places: $\sqrt{13}$ . Choose from 3.46, 3.16, 3.61, or 3.74.

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Problem 24462

Identify the number that approximates $\sqrt{11}$ $ to two decimal places from: 3.61, 2.83, 3.32, 3.74.

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Problem 24463

Find the 23rd term of the sequence: 17, 25, 33, 41, ...

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Problem 24464

Find the 23rd term of the sequence $26, 28, 30, 32, \ldots$

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Problem 24465

Find the square root of 46 to two decimal places: $\sqrt{46}$ .

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Problem 24466

Find the 40th term of the sequence: $36, 136, 236, 336, \ldots$

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Problem 24467

Find the 23rd term of the sequence: $12, 17, 22, 27, \ldots$

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Problem 24468

Find the 31st term of the sequence: $14, 16, 18, 20, \ldots$

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Problem 24469

Find the square root of 7 to two decimal places: $\sqrt{7}$ options: 2.24, 2.45, 2.65, 3.32.

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Problem 24470

What is Tim's average velocity if he walks $600 \mathrm{~m}$ south, $300 \mathrm{~m}$ north in 5 minutes?

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Problem 24471

Calculate the square root of 5 to two decimal places. Options: 2.65, 2.73, 2.83, 2.24.

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Problem 24472

What is the force on an 80g object with an acceleration of 20 m/s²? Choose the correct calculation for force in Newtons. Options: $80 \cdot 20$ $80 \cdot 1000 \cdot 20$ $\frac{80}{1000} \cdot 20$ $\frac{80}{60^{2}} \cdot 20$

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Problem 24473

Find the volume of a solid with base $\mathrm{R}$ (bounded by $y=x(1-x)^{1/2}$ and the $x$ -axis) and square cross-sections.

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Problem 24474

Find the unit price of turkey per pound if a $1 \frac{1}{4}$ pound package costs \$9. Show your work.

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Problem 24475

Find the average velocity of an object from $t=2$ to $t=5$ given $s(2)=5$ , $s(5)=8$ .

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Problem 24476

Find the unknown side length $b$ in triangle $ABC$ using $a=10$ and $c=20$ . Then calculate the six trig functions for angle B.

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Problem 24477

Find the value of the integral $\int_{1}^{4} \frac{f(\sqrt{x})}{\sqrt{x}} d x$ given that $\int_{1}^{2} f(x) d x=6$ .

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Problem 24478

Calculate the square of 5 using multiplication tables. What is $5^{2}$ ? Options: 25, 10, 32, 35.

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Problem 24479

A pitcher's arm rotates at 7 degrees/ms. What is the speed in degrees/s?

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Problem 24480

Given $f$ is continuous with $f(x) \geq 0$ for $a \leq x \leq b$ , and the area from $a$ to $b$ is 8. If $F(a)=6$ , find $F(b)$ .

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Problem 24481

A moped slows down from $31 \mathrm{ft} / \mathrm{s}$ at $3 \mathrm{ft} / \mathrm{s}^{2}$ . How far does it travel before stopping?

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Problem 24482

A truck drives $60 \mathrm{mph}$ , a car enters 6 min later at $73 \mathrm{mph}$ . How long until the car passes the truck?

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Problem 24483

Trevor's family has 6 members and 3 bathrooms. Each person showered for 480 mins and used 72 liters. Water costs \$0.20/liter. Total cost?

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Problem 24484

How long (in yr) will it take for $1.00 \mathrm{~g}$ of Strontium-90 to decay to $0.200 \mathrm{~g}$ ? Half-life is $28.1 \mathrm{yr}$ .

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Problem 24485

Lúcia uses energy at 420 kcal/h. Find her energy use rate in calories/min $\left(\frac{\mathrm{cal}}{\mathrm{min}}\right)$ .

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Problem 24486

Find $F^{\prime}(3)$ where $F(x)=\int_{x}^{x^{2}} f(t) dt$ , given $f(3)=3$ and $f(9)=7$ .

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Problem 24487

Find $c$ if the average value of $f(x)=x^{2}+c x$ over $[0,7]$ equals 4. Enter your answer as a decimal.

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Problem 24488

Calculate the square of 7 using multiplication tables: $7^{2}$ . What is the result?

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Problem 24489

Find the value of $\int_{2}^{5}[2 f(x)-3 g(x)+9] d x$ given that $\int_{2}^{5} f(x) d x=8$ and $\int_{2}^{5} g(x) d x=4$ .

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Problem 24490

How far does sound travel in $3 \times 10^{10}$ seconds at $3.4 \times 10^{2}$ m/s? What will the calculator display?

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Problem 24491

Find the exact value of $y(2)$ given the differential equation $\frac{d y}{d x}=3 x^{2}+2$ and $y(1)=6$ .

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Problem 24492

$P(t) = \frac{280}{1+8e^{-0.45t}}$
A species of animal is discovered on an island. Suppose that the population size $P(t)$ of the species can be modeled by the following function, where time $t$ is measured in years.
Find the initial population size of the species and the population size after 10 years. Round your answers to the nearest whole number as necessary.
Initial population size: 31 individuals Population size after 10 years:

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Problem 24493

Question 7 (1 point) Consider the following sets: $A = \{1, 2, 3, 4, 5, 6, 7, 8\}$ $B = \{6, 7, 8, 9, 10, 11, 12\}$ $C = \{2, 4, 6, 8, 10\}$ What is $B \cap C$ ? $\{6, 8, 10\}$ $\{2, 4, 6, 6, 7, 8, 8, 9, 10, 11, 12\}$ $\{2, 4, 7, 11, 12\}$ $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}$ Previous Page Next Page

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Problem 24494

Question Graph the inequality on the axes below. $y \ge -\frac{1}{3}x - 6$

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Problem 24495

2. Triangle $ABC$ has vertices $A(1, 7)$ , $B(3, 2)$ , and $C(-2, -2)$ . Graph $\triangle ABC$ and its image after a rotation of $270^\circ$ counterclockwise about $(-4, 2)$ .

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Problem 24496

14. If $y=-3 x-2$ is an equation representing a line on a graph, in which direction is the line sloped, and what is the slope $(m)$ ? up to the right, $m=-3$ up to the right, $m=2$ up to the left, $m=2$ up to the left, $m=-3$
15. Solve: $\frac{2 x}{5}+\frac{1}{3}=\frac{x}{3}$ $x=$ $\square$

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Problem 24497

Let $v = \begin{bmatrix} 1 \\ 2 \end{bmatrix}$ and let $x = \begin{bmatrix} -1 \\ 8 \end{bmatrix}$ .
The $Proj_v x$ is equal to $k \begin{bmatrix} 1 \\ 2 \end{bmatrix}$ where
k = \text{______}.

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Problem 24498

$\triangle ABC$ and $\triangle FDE$ are congruent by the ___ criterion. (Use the three-letter abbreviation without spaces.) The value of $x$ is _ , and the value of $y$ is _____. $x+3$ $3$ $x-y$ $14$

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Problem 24499

Solve the equation. $\log _{4} 64^{x}=-3$
Change the given logarithmic equation to exponential form. $64^{x}=4^{-3}$ (Type an equation. Do not simplify.) The solution set is $\square$ (Type integers or simplified hàctions. Use a comma to separate answers as needed)

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Problem 24500

\begin{tabular}{|c|c|c|c|} \hline 22 & x & & \\ \hline 62 & $\times$ & 7 & = \\ \hline 95 & $\times$ & 8 & = \\ \hline 34 & x & 7 & = \\ \hline 27 & $x$ & 4 & = \\ \hline 75 & $\times$ & 6 & = \\ \hline 14 & $\times$ & 3 & = \\ \hline 82 & $\times$ & 7 & = \\ \hline 36 & $\times$ & 6 & = \\ \hline 30 & $\times$ & 7 & = \\ \hline 29 & $\times$ & 8 & = \\ \hline 99 & x & 4 & = \\ \hline 64 & $x$ & 8 & = \\ \hline 32 & x & 6 & = \\ \hline 34 & X & 8 & = \\ \hline 66 & x & 5 & = \\ \hline 95 & x & 8 & = \\ \hline 42 & x & 5 & = \\ \hline 56 & $\times$ & 6 & = \\ \hline 35 & $x$ & 6 & = \\ \hline 99 & x & 9 & = \\ \hline 70 & $\times$ & 3 & = \\ \hline 39 & $x$ & 7 & = \\ \hline 83 & $x$ & 9 & = \\ \hline 61 & x & 3 & = \\ \hline \end{tabular}

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1 ...242 243 244 245 246 247 248 ...307

Solve

Problem 24401

Calculate the mass of NaCl\mathrm{NaCl}NaCl needed for 0.1 L of a 0.5 M solution. Molecular weight is 58.44 g58.44 \mathrm{~g}58.44 g.

Problem 24402

A customer orders 10 pipe brackets needing 42−3/4′′42-3 / 4^{\prime \prime}42−3/4′′ of pipe each. How much total pipe is required in feet and inches?

Problem 24403

Tyler walked 3383 \frac{3}{8}383​ miles on Monday and 2562 \frac{5}{6}265​ on Tuesday. What is his total walking distance?

Problem 24404

A customer wants as many 61/4′′61 / 4^{\prime \prime}61/4′′ pieces of 1/21 / 21/2'' roundstock from a 48'' piece. How many can you provide?

Problem 24405

Solve for bbb in the equation: 3(b−8)=−33(b-8)=-33(b−8)=−3. What is the value of bbb?

Problem 24406

Jacey has 3 containers (3 in x 4 in). How many inches of mulch does she need for the tops?

Problem 24407

A customer wants 61/4′′61 / 4^{\prime \prime}61/4′′ pieces of 1/21 / 21/2' roundstock from a 48′′48^{\prime \prime}48′′ piece. How many can you provide, considering 1/8"1 / 8^{\text{"}}1/8" waste?

Problem 24408

Solve for ddd in the equation 4=d+934=\frac{d+9}{3}4=3d+9​. What is ddd?

Problem 24409

A cash register has quarters and \$20 bills. There are 3 times as many quarters as \$20s. Total is \$166. How many \$20s?

Problem 24410

Find the slope of the line through points J(1,-4) and K(-2,8). Options: A. -4 B. -2 C. −14-\frac{1}{4}−41​ D. 14\frac{1}{4}41​ E. 4

Problem 24411

Solve for jjj in the equation: 19j−18j=1219j - 18j = 1219j−18j=12. What is the value of jjj?

Problem 24412

Solve for aaa: −27=−12+a-27=-12+a−27=−12+a

Problem 24413

Solve for yyy in the equation 11y−8y−2=1011y - 8y - 2 = 1011y−8y−2=10. Find y=□y = \squarey=□.

Problem 24414

Solve for bbb: b−44=4\frac{b - 4}{4} = 44b−4​=4

Problem 24415

Problem 24416

Find missing values A, B, C, and D in the ratio table: A, 18, 30, C, 3; 7, B, 5, 4, D.

Problem 24417

Find the width and length of a rectangle where length = 3w+93w + 93w+9 and perimeter = 178 inches.

Problem 24418

Solve the system: a−3b=24a - 3b = 24a−3b=24 and a+2b=−16a + 2b = -16a+2b=−16.

Problem 24419

The rectangle's length is 13 less than twice the width, with a perimeter of 154 yards. Find width and length. Width === Length ===

Problem 24420

Find the dimensions of a rectangular garden that is 10ft10 \mathrm{ft}10ft longer than its width and has an area of 200ft2200 \mathrm{ft}^{2}200ft2.

Problem 24421

Calculate the probability of drawing 2 chocolates from a bag with 12 chocolates, 5 gums, and 4 taffies. Round to three decimals.

Problem 24422

Find the length of segment CD‾\overline{C D}CD if CD=xC D=xCD=x, BC=5x−5B C=5x-5BC=5x−5, and BD=2x+7B D=2x+7BD=2x+7.

Problem 24423

Find the length of LM‾\overline{L M}LM given MN=3xM N=3 xMN=3x, LN=4x+9L N=4 x+9LN=4x+9, and LM=2x+7L M=2 x+7LM=2x+7.

Problem 24424

Find the length of IJ‾\overline{I J}IJ given HI=xH I=xHI=x, IJ=2x+9I J=2x+9IJ=2x+9, and HJ=4xH J=4xHJ=4x.

Problem 24425

Problem 24426

Find the length of NO‾\overline{N O}NO given NP=3xN P=3xNP=3x, NO=2xN O=2xNO=2x, and OP=8O P=8OP=8.

Problem 24427

Jenny is 8 years older than 2 times Sue's age. Their ages sum to less than 32. What is Sue's max age? 7, 8, 9, 10

Problem 24428

Find the largest integer such that the sum of two consecutive integers is ≤209\leq 209≤209.

Problem 24429

What score does Vanessa need on her fourth quiz to average at least 40 if her scores are 45, 32, and 37?

Problem 24430

Find the length of segment KM‾\overline{K M}KM if LM=10L M=10LM=10 and KL=4K L=4KL=4.

Problem 24431

Find the density of silver if 20.0 mL20.0 \mathrm{~mL}20.0 mL of water rises to 22.4 mL22.4 \mathrm{~mL}22.4 mL after adding 25.0 g25.0 \mathrm{~g}25.0 g of silver.

Problem 24432

Solve the system of equations: m+n=−3m+n=-3m+n=−3 and m−4n=27m-4n=27m−4n=27.

Problem 24433

Alicia's meal had 20g carbs, 35g protein, and 20g fat. Find the percentage of calories from each macronutrient.

Problem 24434

Solve for m∠DEF\mathrm{m} \angle \mathrm{DEF}m∠DEF given m∠DEG=83∘\mathrm{m} \angle \mathrm{DEG}=83^{\circ}m∠DEG=83∘ and m∠GEF=60∘\mathrm{m} \angle \mathrm{GEF}=60^{\circ}m∠GEF=60∘.

Problem 24435

Find the least common denominator of 435,177,322\frac{4}{35}, \frac{1}{77}, \frac{3}{22}354​,771​,223​. Options: A. 110 B. 770 C. 2,695 D. 8,470 E. 59,290

Problem 24436

Find (f+g)(x)(f+g)(x)(f+g)(x) for f(x)=x3−2x2+1f(x)=x^{3}-2 x^{2}+1f(x)=x3−2x2+1 and g(x)=4x3−5x+7g(x)=4 x^{3}-5 x+7g(x)=4x3−5x+7.

Problem 24437

Find m∠WDCm \angle WDCm∠WDC given m∠EDC=145∘m \angle EDC = 145^{\circ}m∠EDC=145∘ and m∠EDW=61∘m \angle EDW = 61^{\circ}m∠EDW=61∘.

Problem 24438

Find (f−g)(x)(f-g)(x)(f−g)(x) for f(x)=2x+63xf(x)=\frac{2 x+6}{3 x}f(x)=3x2x+6​ and g(x)=x−83xg(x)=\frac{\sqrt{x}-8}{3 x}g(x)=3xx​−8​.

Problem 24439

Calculate the decimal value of 2.8+7.2‾2.8 + 7.\overline{2}2.8+7.2.

Problem 24440

Calculate the mass change (in kg) per mole of H2\mathrm{H}_{2}H2​ formed in the reaction: H+H→H2\mathrm{H} + \mathrm{H} \rightarrow \mathrm{H}_{2}H+H→H2​, ΔH∘=−436.4 kJ/mol\Delta H^{\circ}=-436.4 \mathrm{~kJ/mol}ΔH∘=−436.4 kJ/mol.

Problem 24441

Calculate the mass of $\mathrm{NaCl}$ needed for 0.1 L of a 0.5 M solution. Molecular weight is $58.44 \mathrm{~g}$ .

A customer orders 10 pipe brackets needing $42-3 / 4^{\prime \prime}$ of pipe each. How much total pipe is required in feet and inches?

Tyler walked $3 \frac{3}{8}$ miles on Monday and $2 \frac{5}{6}$ on Tuesday. What is his total walking distance?

A customer wants as many $61 / 4^{\prime \prime}$ pieces of $1 / 2$ '' roundstock from a 48'' piece. How many can you provide?

Solve for $b$ in the equation: $3(b-8)=-3$ . What is the value of $b$ ?

A customer wants $61 / 4^{\prime \prime}$ pieces of $1 / 2$ ' roundstock from a $48^{\prime \prime}$ piece. How many can you provide, considering $1 / 8^{\text{"}}$ waste?

Solve for $d$ in the equation $4=\frac{d+9}{3}$ . What is $d$ ?

Find the slope of the line through points J(1,-4) and K(-2,8). Options: A. -4 B. -2 C. $-\frac{1}{4}$ D. $\frac{1}{4}$ E. 4

Solve for $j$ in the equation: $19j - 18j = 12$ . What is the value of $j$ ?

Solve for $a$ : $-27=-12+a$

Solve for $y$ in the equation $11y - 8y - 2 = 10$ . Find $y = \square$ .

Solve for $b$ : $\frac{b - 4}{4} = 4$

Find the width and length of a rectangle where length = $3w + 9$ and perimeter = 178 inches.

Solve the system: $a - 3b = 24$ and $a + 2b = -16$ .

The rectangle's length is 13 less than twice the width, with a perimeter of 154 yards. Find width and length. Width $=$ Length $=$

Find the dimensions of a rectangular garden that is $10 \mathrm{ft}$ longer than its width and has an area of $200 \mathrm{ft}^{2}$ .

Find the length of segment $\overline{C D}$ if $C D=x$ , $B C=5x-5$ , and $B D=2x+7$ .

Find the length of $\overline{L M}$ given $M N=3 x$ , $L N=4 x+9$ , and $L M=2 x+7$ .

Find the length of $\overline{I J}$ given $H I=x$ , $I J=2x+9$ , and $H J=4x$ .

Find the length of $\overline{N O}$ given $N P=3x$ , $N O=2x$ , and $O P=8$ .

Find the largest integer such that the sum of two consecutive integers is $\leq 209$ .

Find the length of segment $\overline{K M}$ if $L M=10$ and $K L=4$ .

Find the density of silver if $20.0 \mathrm{~mL}$ of water rises to $22.4 \mathrm{~mL}$ after adding $25.0 \mathrm{~g}$ of silver.

Solve the system of equations: $m+n=-3$ and $m-4n=27$ .

Solve for $\mathrm{m} \angle \mathrm{DEF}$ given $\mathrm{m} \angle \mathrm{DEG}=83^{\circ}$ and $\mathrm{m} \angle \mathrm{GEF}=60^{\circ}$ .

Find the least common denominator of $\frac{4}{35}, \frac{1}{77}, \frac{3}{22}$ . Options: A. 110 B. 770 C. 2,695 D. 8,470 E. 59,290

Find $(f+g)(x)$ for $f(x)=x^{3}-2 x^{2}+1$ and $g(x)=4 x^{3}-5 x+7$ .

Find $m \angle WDC$ given $m \angle EDC = 145^{\circ}$ and $m \angle EDW = 61^{\circ}$ .

Find $(f-g)(x)$ for $f(x)=\frac{2 x+6}{3 x}$ and $g(x)=\frac{\sqrt{x}-8}{3 x}$ .

Calculate the decimal value of $2.8 + 7.\overline{2}$ .

Calculate the mass change (in kg) per mole of $\mathrm{H}_{2}$ formed in the reaction: $\mathrm{H} + \mathrm{H} \rightarrow \mathrm{H}_{2}$ , $\Delta H^{\circ}=-436.4 \mathrm{~kJ/mol}$ .

Find $(f \circ g)(x)$ for $f(x)=\frac{2}{x+3}$ and $g(x)=\frac{1}{2 x}$ .

Calculate the acceleration due to gravity at a height of 6989 meters using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

Find the acceleration due to gravity at the top of a 272m building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

Find the acceleration due to gravity at 6320 meters using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

Find $f(-4)$ for the function $f(x)=x^{2}-2x-6$ .

Find the acceleration due to gravity at the top of a 248-meter tall building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

Calculate the square of the number using multiplication tables: $2^{2}$ .

Calculate the gravity $g(h)$ at 7051 m above sea level using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

Find the missing exponent in $\frac{e^{?}}{e^{65}}=e^{38}$ .

Find the square root of 121. If $11 \cdot 11=121$ , then $\sqrt{121}=$ 10, 11, -12, or -13?

Find side $c$ in right triangle $ABC$ with $a=8$ and $b=15$ using the Pythagorean theorem. Then, find trig functions for angle B.

Find the square root: If $20 \cdot 20=400$ , then $\sqrt{400}=$ ? Options: -15, 10, 200, 20.

Find the acceleration due to gravity at a height of 305 meters using the formula $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

Find $k$ such that $y=\frac{1}{k x^{3}}$ solves $\frac{d y}{d x}=13 x^{2} y^{2}$ . Round to the nearest tenth.

Find the square root of 81. If $9 \cdot 9=81$ , then $\sqrt{81}=$ ? Options: 3, 18, $-8$ , 9.

Find the square root of 100. If $10 \cdot 10=100$ , then $\sqrt{100}=$ 10, 50, $-9$ , or 25?

Calculate the acceleration due to gravity at the top of a 340 m building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

Find the square root of the number. If $3 \cdot 3 = 9$ , then $\sqrt{9} = ?$ (Options: 4, 5, 3)

Calculate the acceleration due to gravity at the top of a 281-meter building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

Calculate the square root of 13 to two decimal places: $\sqrt{13}$ . Choose from 3.46, 3.16, 3.61, or 3.74.

Identify the number that approximates $\sqrt{11}$ $ to two decimal places from: 3.61, 2.83, 3.32, 3.74.

Find the 23rd term of the sequence $26, 28, 30, 32, \ldots$

Find the square root of 46 to two decimal places: $\sqrt{46}$ .

Find the 40th term of the sequence: $36, 136, 236, 336, \ldots$

Find the 23rd term of the sequence: $12, 17, 22, 27, \ldots$

Find the 31st term of the sequence: $14, 16, 18, 20, \ldots$

Find the square root of 7 to two decimal places: $\sqrt{7}$ options: 2.24, 2.45, 2.65, 3.32.

What is Tim's average velocity if he walks $600 \mathrm{~m}$ south, $300 \mathrm{~m}$ north in 5 minutes?

Find the volume of a solid with base $\mathrm{R}$ (bounded by $y=x(1-x)^{1/2}$ and the $x$ -axis) and square cross-sections.

Find the unit price of turkey per pound if a $1 \frac{1}{4}$ pound package costs \$9. Show your work.