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Artemon [7]
3 years ago
15

Cooper drove his car for 2 1/2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant spee

d of 40 miles per hour. How far did Cooper drive?
Mathematics
1 answer:
Finger [1]3 years ago
3 0
140 miles in 2 1/2 hours





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Write an equation for each context. Draw a model first if necessary, and make sure you define your variable and what it represen
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Answer:

a. 6x+1240=12484

b.

x_1+x_2+x_3+x_4=65\\x_2=2x_1\\x_3=x_1+2\\x_4=0.25x_2

c. 5x+20=415

Step-by-step explanation:

a. In the account are 6 deposits of the paid that Tom gets each month and the initial $1240. Let x be the paid Tom gets each month, then:

6x+1240=12484

Solving for x:

6x=12484-1240\\6x=11244\\x=\frac{11244}{6} \\x=1874\\

b)Let x_1 be pounds contained in the first box, x_2 the pound in the second box, x_3 the pounds in the third box and x_4 the pound in the fourth box, then:

x_1+x_2+x_3+x_4=65\\x_2=2x_1\\x_3=x_1+2\\x_4=0.25x_2

Substitute the value of x_2 in the last equation:

x_4=0.25(2x_1)\\x_4=0.5x_1

Substitute all the equation in the first and solve for x_1:

x_1+(2x_1)+(x_1+2)+(0.5x_1)=65\\4.5x_1=65-2\\x_1=63/4.5=14

Solving for x2,x3, and x4:

x_2=2x_1=2*14=28\\x_3=x_1+2=14+2=16\\x_4=0.25x_2=0.25*28=7

c) Simon is ordering 5 cans and 5 racquets, the total from the cans is 5(4)=$20. Let x be the cost of each racquet,

5x+20=415

Solving for x:

5x=415-20\\x=395/5=79

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