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melomori [17]
3 years ago
14

Two cars leave the same location traveling in opposite directions. One car leaves at 3:00 p.m. traveling at an average rate of 5

5 mph. The other car leaves at 4:00 p.m. traveling at an average rate of 75 mph. How many hours after the first car leaves will the two cars be 380 mi apart?
Let x represent the number of hours after the first car leaves. Enter an equation that can be used to solve this problem in the first box. Solve for x and enter the number of hours in the second box.
Mathematics
1 answer:
sergey [27]3 years ago
8 0
Recall your d = rt,   distance = rate * time

thus \bf \begin{array}{lccclll}
&distance&rate&time(hrs)\\
&-----&-----&-----\\
\textit{first car}&d&55&x\\
\textit{second car}&380-d&75&x+1
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
\boxed{d}=(55)(x)\\\\
380-d=(75)(x+1)\\
----------\\
380-\left( \boxed{(55)(x)} \right)=(75)(x+1)
\end{cases}

notice, the first car leaves at "x" time, the other leaves on hour later, or x + 1

the first car travels some distance "d", whatever that is, thus
the second car, picks up the slack, or the difference, they're 380 miles
apart, thus the difference is 380-d
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GalinKa [24]
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Then you divide 3 into 420

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4 0
3 years ago
a bag contains 57 coins which are only quarters and dimes the total value of coins is $9.45 how many dimes are in the bag​
Digiron [165]

Answer:

There are 32 dimes and 25 quarters.

Step-by-step explanation:

q + d = 57 or q = 57 - d  

25q + 10d = 945  

substitute first equation into second equation:  

25(57 - d) + 10d = 945  

1425 - 25d + 10d = 945  

-15d = -480  

d = -480/-15 = 32  

using first equation:  

q = 57 - 32 = 25  

check using second equation:  

25(25) + 10(32) = 945 checks

6 0
3 years ago
the cost of using a card is 35 cents per call plus 25 cents per minute. A recent call cost cost $12.35. write and solve the equa
LUCKY_DIMON [66]
If the call cost 35 cents to use the card that leaves $12 that was from minutes. There is 4 quarters in a dollar, 12x4 is 48.  

VERIFY:
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4 0
3 years ago
How to reduce the fraction 10/63
mr_godi [17]
I'm pretty sure 10/63 is simplified.
6 0
3 years ago
Read 2 more answers
Look at the image below.<br><br> Find the area of the parallelogram.
Daniel [21]

Answer:

5 x 8 = 40

Step-by-step explanation:

the formula for the area of a parallelogram is a = bh. Its the same as a square or rectangle. So you just have to multiply the lenght (5) and width (8) which equals 40.


Hope this help have a great day!

5 0
2 years ago
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