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seropon [69]
3 years ago
15

.162q + .035c = 4 Solve for q and c and show work

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

q = \frac{5(-7c+800)}{162}

c = \frac{2(-81q + 2000)}{35}

Step-by-step explanation:

First solve for q:

0.162q + 0.035c = 4

0.162q = 4 - 0.035c (move term to other side)

q = \frac{4-0.035c}{0.162} (divide both sides by 0.162 to get it away from q)

q = \frac{5(-7c+800)}{162} (simplify fraction)

Solve for c:

0.162q + 0.035c = 4

0.035c = 4 - 0.162q (move term to other side)

c = \frac{4 - 0.162q}{0.035} (divide both sides by 0.035 to get it away from c)

c = \frac{2(-81q + 2000)}{35} (simplify fraction)

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A van drove 241. 92 miles on 10. 8 gallons of gas. How far could the van drive on a full tank of 16. 2 gallons of gas? Drag and
mrs_skeptik [129]

You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

<h3>How to find the distance the van can travel per gallon of gas?</h3>

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \:  gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we  get

\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons  = 16.2 \times 22.4 \: miles = 362.88 \: miles

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

Learn more about division here:

brainly.com/question/2689177

8 0
2 years ago
How many planes of symmetry does a cube have?
Anestetic [448]

Answer:

Nine Planes

Step-by-step explanation:

Three planes are parallel to the six faces of the cube. The other six are diagonal.

3 0
4 years ago
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Lyrx [107]

Answer:

10+ (4 23 + 7) - 19

I don't know if the 4 is supposed to be multiple or subtract or to add but If it is add

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3 years ago
Ricardo weigh 2pounds
IrinaVladis [17]

Answer:

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Step-by-step explanation:

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4 years ago
Javian has a gift card with a $150 balance. He buys several video games that cost $35 each. After the purchases, his gift card b
SIZIF [17.4K]

Answer:

D

Step-by-step explanation:

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X in this equation would be 3

Take 35x3 and you get 105. Plug this in

150-105=45

hope this helps

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3 years ago
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