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otez555 [7]
3 years ago
5

SOMEONE PLS HELP/ What is the value of x?

Mathematics
1 answer:
Serhud [2]3 years ago
3 0
These are similar triangles so you can use a proportion:
\frac{8}{x + 4} =  \frac{12}{2x + 1}

Cross multiply:
8(2x + 1) = 12 (x + 4)
16x + 8 = 12x + 48
       4x  = 40
         x = 10

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Two cars leave from a town at the same time traveling in opposite directions. One travels 5 mph faster than the other. In 3 hour
Doss [256]

Let the slower cars speed equal X.

The faster cars speed would be X+5 ( 5 mph faster).


They traveled for 3 hours

Multiply the time of travel by speed to equal the number of miles traveled.

So you have:

3X + 3(X+5) = 267 miles

Simplify the left side:

3X + 3X+15 = 267

Combine like terms:

6x + 15 = 267

Subtract 15 from each side"

6x = 252

Divide each side by 6:

x = 252 / 6

X = 42


The slower car was traveling at 42 mph and the faster car was traveling at 47 mph.




7 0
3 years ago
Pam bought 20 pieces of fruit for her class.
Maksim231197 [3]

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

7 0
3 years ago
Read 2 more answers
Suppose y varies directly with x, and y = -4 when x = 25. What is x when y = 10? SHOW ALL YOUR WORK HERE OR YOU WON'T GET CREDIT
Stolb23 [73]

Answer:

x = -62.5

Step-by-step explanation:

y = kx

-4 = k(25)

k = -4/25

y = (-4/25)x

10 = (-4/25)x

x = 10 × 25/-4

x = -62.5

6 0
3 years ago
Enter the set described below:
LenKa [72]

Answer:

  {1, 5, 25, 125, 625}

Step-by-step explanation:

The smallest positive integers that meet the requirement will be ...

  5^0 = 1

  5^1 = 5

  5^2 = 25

  5^3 = 125

  5^4 = 625

As a set, these numbers are {1, 5, 25, 125, 625}.

7 0
3 years ago
Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will
Marat540 [252]

           (150 miles/week) x (1 gallon / 25 miles) x (3 $/gallon)

       =    (150 x 1 x 3) / (25)   (miles-gallon-$ / week-miles-gallon)

       =                      18            $/week .
6 0
3 years ago
Read 2 more answers
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