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Masteriza [31]
3 years ago
7

Dale drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Dale drove h

ome, there was no traffic and the trip only took 5 hours. If his average rate was 18 miles per hour faster on the trip home, how far away does Dale live from the mountains? Do not do any rounding.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0
Use a system of equations:

For his trip on the way there:
D = 7*s

For his trip on the way home you have:
D = 5*(s+18)

use substitution to solve
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−3z−(−z−2) Simplify to create an equivalent expression.
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-3z - (-z - 2)

In order to find the expression equivalent to our given expression, we have to simplify our given expression :)

-3z + z + 2

**Remember : the "z" and "2" become a positive because a negative times a negative is always a positive!**

Now, add like terms.

(-3z + z) + 2

Simplify.

-2z + 2

Look at our given answer choices.

Our answer is c. -2z + 2

~Hope I helped!~
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3 years ago
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F exponet3<br> +11yg-4h h=7 f=3 h=7
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Answer:

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2 years ago
you have 13 coins totaling $2.75 in your pocket they are all quarters and dimes. how many of each type of coin do you have?
Tanzania [10]
Let q = quarters

Let d = dimes

q + d = 13
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4 0
3 years ago
What is the value of |−25|?
NemiM [27]
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Paul, Linda, and Aaron make handmade cards. Paul can make 1 card for every 3 cards Linda makes. Linda can make 3 cards for every
patriot [66]

Answer:

Linda makes 3 more cards than Paul.

Step-by-step explanation:

Let's express the affirmations into equations:

Paul (P) can make 1 card for every 3 cards Linda (L) makes:

\frac{P}{L} = \frac{1}{3}

3P = 1L            (1)

Linda can make 3 cards for every 2 cards that Aaron (A) makes:

\frac{L}{A} = \frac{3}{2}  

2L = 3A          (2)        

During a week, Aaron makes 72 cards, hence the number of cards of Linda and Paul can be calculated as follows:

From equation (2):

L = \frac{3}{2}A = \frac{3}{2}72 = 108

Now, from equation (1):

P = \frac{1}{3}L = \frac{1}{3}108 = 36

Finally, the number of cards that Linda makes more than Paul is:

\frac{L}{P} = \frac{108}{36} = 3

Therefore, Linda makes 3 more cards than Paul.

I hope it helps you!    

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2 years ago
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