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Leni [432]
3 years ago
8

A cyclist rides a bike at a rate of 24 miles per hour. What is this rate in miles per minute? How many miles will the cyclist tr

avel in 5 minutes? Do not round your answer.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

there are 60 minutes per hour

24/60 = 0.4 miles per minute

0.4*5 = 2

they will ride 2 miles in 5 minutes

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Find an equation in slope-intercept form of the line that has slope –8 and passes through point A (1, 5)
mihalych1998 [28]

Answer:

Step-by-step explanation:

y - 5 = -8(x - 1)

y - 5 = -8x + 8

y = -8x + 13

7 0
3 years ago
What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
2 years ago
When you solve the equation x + 1 = 2x for x, the solution is 1. 1) Square both sides of the equation, and verify that your solu
tatiyna

Answer:

(x + 1)² = (2x)²

(1 + 1)² = (2(1))²

2² = 2²

4 = 4

(-1 + 1)² = (2(-13))²

(-12)² = (-26)²

Not true

x = -13 satisfies neither

7 0
3 years ago
Rational expression 8/x+5 + x/x+5
mina [271]
Https://www.symbolab.com/solver/function-range-calculator 
this should help
6 0
3 years ago
Which input value produces the same output value for the two functions on the graph?
DiKsa [7]

Answer:

The input value is 3/4

Step-by-step explanation:

we know that

The input value that produces the same output value for the two linear functions, is the intersection point both graphs

we have

f(x)=-3x+1 ---> equation A

g(x)=x-2 ---> equation B

Equate equation A and equation B

x-2=-3x+1

solve for x

3x+x=1+2

4x=3

x=\frac{3}{4}

therefore

The input value is 3/4

5 0
3 years ago
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