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I am Lyosha [343]
3 years ago
10

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the dista

nce in 4.5 h. Car B traveled 5 mph slower than Car A.
How fast did Car B travel?
Mathematics
1 answer:
poizon [28]3 years ago
8 0
The rate of Car A is x
The rate of Car B is x - 5

They travel the same distance. So we can make an equation:

4(x) = 4.5(x-5)

Solve for x.

4(x) = 4.5(x-5)
4x = 4.5x - 22.5

Subtract 4.5x on both sides

-0.5x = -22.5

Divide by -0.5 on both sides
x = 45

But we want the speed of Car B which is x - 5

So Car B's speed is 45 - 5 = 40

Your answer is 40
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Answer:

4x²√4√6√x⁶√x

Step-by-step explanation:

4x²√(24x⁷)

The above expression can be simplified as follow:

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Recall

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Thus,

4x²√(24x⁷) = 4x²√24√x⁷

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Thus,

4x²√24√x⁷ = 4x²√4√6√x⁶√x

Therefore,

4x²√(24x⁷) = 4x²√4√6√x⁶√x

4 0
3 years ago
Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)
Natasha_Volkova [10]

Answer:

\sin(\frac{\pi}{7}+x)

Step-by-step explanation:

We are going to use the identity

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because this identities right hand side matches your expression where

a=\frac{\pi}{7} and b=x.

So we have that \sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x) is equal to \sin(\frac{\pi}{7}+x).

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Step-by-step explanation:

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3 years ago
The function Ald) = 0.45d + 180 models the amount A, in dollars, that Terry's company pays him based on
Solnce55 [7]

Answer: Choice A) $0.45

================================

Explanation:

Plug in d = 0 and you'll have A(d) = 0.45d+180 turn into A(0) = 180. This says that Terry is paid $180 even if he doesnt travel a single mile.

Now plug in d = 1. You should get A(1) = 180.45 as the result.

Subtract the results: 180.45 - 180 = 0.45

He has earned 45 cents or 0.45 dollars for traveling one mile

----------

A shortcut is to notice that the slope of the line is 0.45

It might help to view A(d) = 0.45d+180 as y = 0.45x+180. We see that the equation is in slope intercept form y = mx+b

m = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveled

b = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.

7 0
3 years ago
Find the least common multiple of 25, 10, and 30.
elena-s [515]

The least common multiple of 10, 25 and 30 is 150.

Hope this helps ! :)

8 0
2 years ago
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