Linearity

Problem 2901

Algebra 1 Learning Assessment Analytics
Find the slope of the line y=1019x+15y=\frac{10}{19} x+15 Write your answer as an integer or as a simplified proper or improper fraction. \square Submit Work it out Not feeling ready yet? This can help: Lesson: Slope-intercept form

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Problem 2902

甲、乙二人同时从两地出发, 相向而行。走完全程甲需60分钟, 乙需40分钟。出发后 5 分钟, 甲因忘带东西而返回出发点, 取东西又耽误了5分钟。甲再出发后 \square两人相遇。分钟

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Problem 2903

хоорондоо хэдэн км зайтай вэ?
49. Нисэх онгоцны буудал дээр 500 м урт урсдаг хэвтээ зам байжээ. Түүний хурд 4 км/ц бөгөөд Хүслэн, Нандиа хоёр энэ зам дээр хамт алхаж гарсан ба Хүслэн 6kм/ц6 \mathrm{kм} / ц хурдтай алхаж, Нандиа зугээр зогссон бол зам дуусахад Хүслэн, Нандиагаас хэр холдсон байх вэ? 274

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Problem 2904

3. Samar is climbing a mountain in British Columbia. They know that as they climb higher, the temperature will or. For each 150 m Samar climbs up, the temperature will be 1C1^{\circ} \mathrm{C} cooler.
They are starting from a base camp at 1500 m where the temperature is 8C8^{\circ} \mathrm{C}. What will the temperature be at an altitude of 3000 m ? (Knowledge and Understanding) (Thinking) (Application)

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Problem 2905

Collect like terms. 7x+11x7 x+11 x 7x+11x=7 x+11 x= \square (Simplify your answer.)

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Problem 2906

6(x3)>246-(x-3)>24

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Problem 2907

Rearrange the following equation for bb : s=tv+bs=t v+b Paragraph

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Problem 2908

Fiona bought some socks that cost $4.95\$ 4.95 for each pair and some belts that cost $6.55\$ 6.55 each. Fiona spent $27.95\$ 27.95 in all. Let aa represent the number of pairs of socks purchased and bb the number of belts purchased.
Which equation models the situation? a+b=11.50a+b=11.50 a+b=27.95a+b=27.95 4.95a+6.55b=27.954.95 a+6.55 b=27.95 6.55a+4.95b=27.956.55 a+4.95 b=27.95

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Problem 2909

Wei has $150.00\$ 150.00 to make a garland using 60 -cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase. Which models can be used to solve the problem? 100b+w=150;6,000+w=150100 b+w=150 ; 6,000+w=150 100b+w=150;100b+30=150100 b+w=150 ; 100 b+30=150 0.60b+0.30w=150;60+0.30w=1500.60 b+0.30 w=150 ; 60+0.30 w=150 0.60b+0.30w=150;100+0.30w=1500.60 b+0.30 w=150 ; 100+0.30 w=150

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Problem 2910

Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.
Which equation can be used to find the number of times Maria hiked each trail? x+y=90x+y=90 5x10y=905 x-10 y=90 9010y=5x90-10 y=5 x 90+10y=5x90+10 y=5 x

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Problem 2911

20 Celia and Anson had $2550\$ 2550 altogether. After Celia spent 35\frac{3}{5} of her money and Anson spent $730\$ 730, they had the same amount of money left. How much money did Anson have at first? \ \qquad$

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Problem 2912

Question 5. A water tank A, has 225 litres of water in it. A Hose is attached to the tank and starts to pour in at 50 litres per minute. At the same time another tank B, which was empty starts filling at 75 litres per minute.
Find TT, the time it takes for the tanks to contain the same volume of water and VV, this same volume of water in each tank at this point. Enter your answers, to the nearest whole number, below T= minutes V= litres. \begin{array}{l} T=\square \text { minutes } \\ V=\square \text { litres. } \end{array}

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Problem 2913

Q6 consider the vectors (5) x(1)(t)=[t1],x(2)=[t22t]x^{(1)}(t)=\left[\begin{array}{l} t \\ 1 \end{array}\right], x^{(2)}=\left[\begin{array}{c} t^{2} \\ 2 t \end{array}\right] (1) find w(x(1),x(2))w\left(x^{(1)}, x^{(2)}\right) (2) In what intervals are x(1),x(2)x^{(1)}, x^{(2)} linealy inelep? (3) what eonatitions conclutions can be drawn about the coefficients in the systeme of homogenons DE's statisfied by x(1)x(2)x^{(1)} x^{(2)}

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Problem 2914

r19.corelearn.edgenuity.com/player/
Algebra 1-Sem 1 IC \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 5.5 & 0 \\ & \\ & \\ \hline \end{tabular} (1)
Incorrect. You can drag the point to Draw Intro

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Problem 2915

Bate 1 beve: 13 evases is 6 entuls mint
Gewnen (8) 8 8. (( (6) 8) == - 44=44-4=4 a ={87=\{-87, n (4) (new) (6) (1) - 4 (b) (34)(-3-4) (4) -6
Averver 16 8) {38+3b3x=88+4b+6=628b+3x=5\left\{\begin{array}{l}38+3 b-3 x=-8 \\ -8+4 b+6=6 \\ 28-b+3 x=5\end{array}\right.
4. {3x8y=32x+3y=35x3y+32x4y=8\left\{\begin{array}{l}3 x-8 y=3 \\ 2 x+3 y=3 \\ 5 x-3 y+3 \\ 2 x-4 y=8\end{array}\right.

Reverter :
4 \% 1 4=0=4=0= 20z=y8+8x+8y=320 \left\lvert\, \begin{array}{l}z=y-8+8 \\ x+8 \\ y=3\end{array}\right. 3) {4x5y+6>05x+y=8<85+6y+16+0\left\{\begin{array}{l}4 x-5 y+6>0 \\ 5 x+y=8<8 \\ 5+6 y+16+0\end{array}\right. hass il an?

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Problem 2916

13x=10413 x-=104

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Problem 2917

Example (2)
Investigate the sign of the following functions : i) F(x)=x+5F(x)=x+5 ii) F(x)=3x+6F(x)=-3 x+6

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Problem 2918

Give the slope and yy-intercept of the line whose equation is given. Then graph the linear function. f(x)=45x3f(x)=\frac{4}{5} x-3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is \square . (Simplify your answer. Type an integer or a fraction.) B. The slope is undefined.

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Problem 2919

the graph to determine a. the function's domain; b. the function's range; c. the xx-intercepts, if any; dd. the yy-intercept, if there is one; e. the following function ues. f(3)f(2)\begin{array}{l} f(-3) \\ f(2) \end{array}
What is the domain? (Type your answer in interval notation.)

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Problem 2920

c) Asrul memandu keretanya dengan kelajuan 120 km/j120 \mathrm{~km} / \mathrm{j}. Dia memperlahankan kelajuannya BAT sebanyak 30%30 \% daripada kelajuan asalnya dalam masa 15 saat. Hitung pecutannya, dalam km/j\mathrm{km} / \mathrm{j} per saat. Asrul drives his car with a speed of 120 km/h120 \mathrm{~km} / \mathrm{h}. He decreases his speed by 30%30 \% of his initial speed in 15 seconds. Calculate his acceleration, in km/h\mathrm{km} / \mathrm{h} per second. [3 markah/3 marks]
Jawapan/Answer:

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Problem 2921

3(x+5)+23(x+5)+2

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Problem 2922

Solve 3x+4y=55y=2x\begin{aligned} 3 x+4 y & =55 \\ y & =2 x \end{aligned}

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Problem 2923

Luke is trying to find a solution to the equations y=x+7y=x+7 and y=2x15y=2 x-15. He says that since their lines do not cross on the diagram below, they do not have a solution.
Is Luke correct or incorrect? Give a reason for your answer.

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Problem 2924

{2x=29y21y=46x\left\{\begin{array}{l}2 x=2-9 y \\ 21 y=4-6 x\end{array}\right.

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Problem 2925

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 33 cards, which was 10\% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2926

Solve each equation. Check your answer.
55. 27=13+a\frac{2}{7}=\frac{1}{3}+a
56. 23=7x23=7 x
57. z423=223z-4 \frac{2}{3}=2 \frac{2}{3}
58. 23g=412\frac{2}{3} g=-4 \frac{1}{2}
59. 614=r56 \frac{1}{4}=\frac{r}{5}
60. h+2.8=3.7h+2.8=-3.7
61. 32f=12\frac{3}{2} f=\frac{1}{2}
62. 4=29d-4=\frac{2}{9} d
63. 1.6m=1.281.6 m=1.28
64. 4d=2.44 d=-2.4
65. 414=134+p4 \frac{1}{4}=1 \frac{3}{4}+p
66. 5.3+z=8.9-5.3+z=8.9
67. 212=t10-2 \frac{1}{2}=\frac{t}{10}
68. 5b=8.55 b=8.5
69. 35n=310\frac{3}{5} n=-\frac{3}{10}

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Problem 2927

Standardized Test Prep
79. Luis helped raise money for his school by jogging in the school jog-a-thon. The total amount of money he raised can be represented by the expression 1.75m1.75 m, where mm is the number of miles he jogged. If Luis raised a total of $21\$ 21, how many miles did he jog? (A) 12 (B) 19.25 (C) 22.75 (D) 36.75
80. What operation should you use to solve 14+c=3914+c=39 ? (F) squaring (G) subtraction (H) multiplication (I) division
81. Sonya is checking orders at the fabric store where she works. Some of the orders are in decimals and some are in fractions. Which of the following statements is not true? (A) 104=2.5\frac{10}{4}=2.5 (B) 1.3=1131.3=1 \frac{1}{3} (C) 0.03=31000.03=\frac{3}{100} (D) 65=1.2\frac{6}{5}=1.2

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Problem 2928

math.imaginelearning.com/lesson_player/\#lessons/599/activities/3... x=288x=288 3x=963 x=96 x=93x=93 3x=963 x=96 33-3-3 - 333 \cdot 3 x=32x=32 3x3=963\frac{3 x}{3}=\frac{96}{3} 3x=963 x=96
DRAG AND DROP AN ITEM HERE DRAG AND DROP AN ITEM HERE

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Problem 2929

1. What is the solution of 5=t235=\frac{t}{2}-3 ?

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Problem 2930

Question 6* 1 point 6r=7s+t6 r=7 s+t
The given equation relates the variables r,sr, s, and tt. Which equation correctly expresses ss in terms of rr and tt ? A) s=42rts=42 r-t B) s=7(6rt)s=7(6 r-t) C) s=67rts=\frac{6}{7} r-t D) s=6rt7s=\frac{6 r-t}{7}

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Problem 2931

Solve each equation. Check your answer.
11. 2+a4=12+\frac{a}{4}=-1
15. 4b+6=24 b+6=-2
12. 3n4=113 n-4=11
13. 1=7+8x-1=7+8 x

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14. y5+2=8\frac{y}{5}+2=-8
19. 26=m6+526=\frac{m}{6}+5
16. 10=x4810=\frac{x}{4}-8
17. 10+h3=110+\frac{h}{3}=1
18. 14=5+3c-14=-5+3 c
21. 5x2=13-5 x-2=13
22. 14=2k+314=-2 k+3

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Problem 2932

If yy varies directly with xx and y=13y=-13 when x=13x=13, find xx when y=2y=-2. Write and solve a direct variation equation to find the answer.

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Problem 2933

Read the story. Austin plays both forward and goalie on the school soccer team. He has played forward in 4 games for every 3 games he has been the goalie this season.
Pick the diagram that models the ratio in the story.
If Austin has played forward in 8 games, in how many games has he been the goalie? \square games Submit

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Problem 2934

Debbie is on a pickleball team. Her team has 3 wins for every 2 losses so far this season.
Pick the diagram that models the ratio in the story.
If Debbie's team has won 9 games, how many games have they played altogether? \square games Submit Work it out Not feeling ready yet? These can help:

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Problem 2935

Yesterday, the students at Baker Middle School could choose between pizza and chicken strips for hot lunch. Four times as many students chose pizza as chose chicken strips.
Pick the diagram that models the ratio in the story.
If 150 students ate hot lunch yesterday, how many of them chose pizza? \square students Submit

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Problem 2936

Lamar and his sister take turns mowing the lawn. Because he is older, Lamar has to mow 5 times for every 4 times his sister mows.
Pick the diagram that models the ratio in the story.
Lamar mowed the lawn 3 more times than his sister last summer. How many times did Lamar mow last summer? \square times
Submit Work it out Not feeling ready yet? These can help:

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Problem 2937

Elena, Janna and Megan shared 130 stamps. Elena has 10 more stamps than Janna and twice as many as Megan, how many stamps did Elena receive?

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Problem 2938

Complete the table with 3 ordered pairs that satisfy this function, and then draw a complete graph. y=2x+7y=-2 x+7 or 2x+y=72 x+y=7 \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}

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Problem 2939

How many solutions does the system of equations below have? 9x10y=818x20y=16\begin{array}{l} 9 x-10 y=-8 \\ 18 x-20 y=-16 \end{array}

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Problem 2940

3. How can you get the variable alone in the equation 37+x=9437+x=94 ?
A Undo subtracting 37 by adding 37 to both sides. B Undo subtracting xx by adding xx to both sides. C Undo adding xx by subtracting xx from both sides. D Undo adding 37 by subtracting 37 from both sides.

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Problem 2941

Solve for ww. 611w=23\frac{6}{11} \cdot w=\frac{2}{3}
Write your answer as a fraction or as a whole or mixed number. w=w= \square

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Problem 2942

Solve the system of equations by graphing: {+5x+y+20=0+3x+y+10=0\left\{\begin{array}{l} +5 x+y+20=0 \\ +3 x+y+10=0 \end{array}\right.
Answer: (x,y)=(x, y)= \square \square

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Problem 2943

(1.24) Show that A,B\boldsymbol{A}, \boldsymbol{B}, and C\boldsymbol{C} are linearly dependent if AB×C=0\boldsymbol{A} \cdot \boldsymbol{B} \times \boldsymbol{C}=0.

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Problem 2944

b) Two resistors are connected in parallel so that their total resistance RR is 3.6 ohn resistor's resistance must be 3 ohms greater than the other; find the other's if the formula for total resistance in parallel is; R=1r1+1r2R=\frac{1}{r_{1}}+\frac{1}{r_{2}}.

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Problem 2945

This question has two parts. First, answer Part A. Then, answer Part B. Part A
Ishi bought a \6.95canvasand8tubesofpaint.Shespentatotalof6.95 canvas and 8 tubes of paint. She spent a total of \24.95 24.95 on the canvas and paints.
Which equation can be used to determine the cost, cc, of each tube of paint? A) 6.95+8c=24.956.95+8 c=24.95 B) 6.958c=24.956.95-8 c=24.95 C) 8+6.95c=24.958+6.95 c=24.95 D) 86.95c=24.958-6.95 c=24.95

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Problem 2946

A taxi service charges $1.50\$ 1.50 plus $0.60\$ 0.60 per mile for a trip to the airport. The total charge is $13.50\$ 13.50.
Which equation can be used to determine the number of miles, mm, to the airport? A) 10+0.6m=13.510+0.6 m=13.5 B) 1.5+10m=13.51.5+10 m=13.5 C) 0.6+1.5m=13.50.6+1.5 m=13.5 D) 1.5+0.6m=13.51.5+0.6 m=13.5

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Problem 2947

Liza deposits \15weekly.Whatequationforbalance15 weekly. What equation for balance yafter after xweeks?A) weeks? A) y=15B) B) y=15xC) C) y=x+15D) D) y=\frac{x}{15}+1$

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Problem 2948

A candy store buys bags of candy with and without nuts. Let xx be bags with nuts and yy without. Write inequalities for 120 lbs milk and 450 lbs white chocolate, and cost under \$3000.

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Problem 2949

Solve the equation 4x+y=04x + y = 0 for x0x \geq 0.

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Problem 2950

Find the intersection of the lines defined by the equations y=53xy=5-3x and y=3xy=-3x.

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Problem 2951

A hockey rink is 115 ft longer than its width. The perimeter is 570 ft. Find the rink's dimensions in feet.

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Problem 2952

Is the point (8,4)(-8,-4) on the graph of x=4y4x=4y-4? Answer True or False.

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Problem 2953

A record holder skipped 332 times in 60 seconds. How many skips did she make in 15 seconds?

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Problem 2954

Find a parallel line to the function y=214xy=2 \frac{1}{4} x. Choose the correct option: a. y=12xy=\frac{1}{2} x b. y=214xy=-2 \frac{1}{4} x c. y=2214xy=2-2 \frac{1}{4} x d. y=2+94xy=2+\frac{9}{4} x

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Problem 2955

Save \100plus$20permonth.Defineafunctionfortotalsavingsafter100 plus \$20 per month. Define a function for total savings after m$ months. Identify variables: dependent and independent.

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Problem 2956

Find relationships with the same constant of proportionality as y=12xy=\frac{1}{2} x. Choose 3 answers: A 6y=3x6 y=3 x, B y\quad y

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Problem 2957

Which equations have the same constant of proportionality as y=12xy=\frac{1}{2} x? Choose 3: A 6y=3x6 y=3 x B C: xx and yy pairs: (4,2), (5,2.5), (10,5)

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Problem 2958

Find the slope of the line for the proportional relationship given by y=4xy = 4x. Graph this line.

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Problem 2959

Solve the equation 7(x1)=2x+5+9x7(x-1)=-2 x+5+9 x.

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Problem 2960

Solve for xx in the equation x5+3=10\frac{x}{5}+3=10.

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Problem 2961

Find the slope between the points (2,1)(2,-1) and (3,4)(3,-4).

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Problem 2962

Find the slope and YY-intercept of the line: y=5x1y=5x-1.

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Problem 2963

Jody's brother is 3 years less than twice Jody's age. Their ages sum to 30. What is Jody's brother's age? Options: 19, 7, 23, 11.

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Problem 2964

Find the slope-intercept form of the line through the points (2,1)(2,-1) and (4,5)(4,5).

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Problem 2965

Juulilla on rahaa xx euroa. Irallalla on x+13x + 13 euroa. Yhteensä heillä on 63 euroa. Kuinka paljon Juulilla on?

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Problem 2966

Solve for ww in the equation 9w+5=5w72w9w + 5 = 5w - 7 - 2w.

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Problem 2967

What is the slope of the equation y=2x+6y=2x+6? a. 3 b. 6 c. 2 d. 1

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Problem 2968

Find the yy-intercept of the line y=x2y=-x-2. Options: a. -1 b. 1 c. -2 d. 2

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Problem 2969

Joachim bought shoes for \$40 after a 20% discount. What was the original price? a. \$8 b. \$50 c. \$45 d. \$100

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Problem 2970

John is 4 years older than Mary. Their ages total 30. How old is each? a. 13 b. 14 c. 17

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Problem 2971

John is 4 years older than Mary. Their ages total 30. What is Mary's age? a. 13 b. 14 c. 17 d. 16

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Problem 2972

Calculate the expression 13x3y4\frac{13 x-3 y}{4} for x=8x=8 and y=2y=2.

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Problem 2973

Solve for aa in the equation a+b=ca+b=c. Which option is correct? a. a=bca=b-c b. a=b+ca=b+c c. b=cab=c-a d. a=cba=c-b

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Problem 2974

Solve the equation 3(x2)=63(x-2)=6 for xx: a. 2, b. 4, c. 5, d. 6.

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Problem 2975

Solve the equation: 8x(2x1)=28x - (2x - 1) = 2

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Problem 2976

Solve the equation: 12x+27=3x912x + 27 = 3x - 9. What is the solution? Options: {1}\{-1\}, {4}\{4\}, {1}\{1\}, {4}\{-4\}.

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Problem 2977

Solve the equation: 15x15=6\frac{1}{5} x - \frac{1}{5} = -6

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Problem 2978

La suma de estudiantes en nivel inicial y primaria es 16x+38x+297=x\frac{1}{6}x + \frac{3}{8}x + 297 = x. ¿Cuántos estudiantes hay en total?

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Problem 2979

Frank kicks a soccer ball 25 meters with an average velocity of 4.2 m/s4.2 \mathrm{~m/s}. How long was it rolling?

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Problem 2980

Solve the equation: 32x3x24=x+32+32\frac{3}{2} x-\frac{3 x-2}{4}=\frac{x+3}{2}+\frac{3}{2}.

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Problem 2981

Erica throws a football at 5.6 m/s5.6 \mathrm{~m/s}. If it's in the air for 3 seconds, what distance did it travel?

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Problem 2982

Order the steps Tyrone used to solve the inequality 9>2x+59 > 2x + 5. Steps: Copy, Subtract, Simplify, Divide, Result.

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Problem 2983

Solve the inequality: 33y3833y - 3 \leq 8.

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Problem 2984

Solve for ff in the inequality: 3f+9<213 f + 9 < 21.

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Problem 2985

Solve the inequality: 12>606r12 > 60 - 6r.

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Problem 2986

Find DFD F given DE=x+11D E=x+11, EF=4x+4E F=4 x+4, and DF=6x4D F=6 x-4. Simplify your answer.

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Problem 2987

Solve the equation: 13(57x+67)=113x\frac{1}{3} \cdot\left(-\frac{5}{7} x+\frac{6}{7}\right)=1-\frac{1}{3} x.

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Problem 2988

Solve yy in terms of xx from the equation x+2y=1x + 2y = 1.

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Problem 2989

Solve the inequality 2+2u>6-2 + 2u > 6 and graph the solution, marking endpoints and adjusting one to open.

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Problem 2990

A student found 4+x-4+x for x=912x=-9 \frac{1}{2} and got 5125 \frac{1}{2}. What was the student's mistake?

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Problem 2991

Solve the inequality 8m+1<9-8m + 1 < 9 and graph the solution with endpoints, changing one from closed to open.

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Problem 2992

Solve the system: 63x - 14y = 14 and 72x - 16y = 16.

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Problem 2993

A carpenter designs a 96-inch vanity with 2 cabinets & 4 drawers in one design, and 5 cabinets & 2 drawers in another. Find widths.

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Problem 2994

41 people are going to a concert in 7 vehicles. If some hold 7 and others 5, how many can hold 7 people?

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Problem 2995

A scientist needs 6 mL of a 30%30\% sulfuric acid solution using 20%20\% and 50%50\% solutions. How much of each is needed?

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Problem 2996

Solve 16x=17616x=176 to find the value of xx.

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Problem 2997

Solve the system of equations: -2x + 5y - z = -5, 3x + 4y + 4z = -17, -x - 7y + 2z = 36.

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Problem 2998

Solve the system of equations: -5y + 3z = -13, 4x - z = -2, -7x + 9y = 5.

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Problem 2999

Lashawn used 44 stamps totaling \$15.01. If \$0.35 stamps are 9 less than twice \$0.50 stamps, find each type.

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Problem 3000

Mix 100 pints of liquids A, B, and C with given acid percentages. Find pints of each liquid if A is twice B and total is 45% acid.

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