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AURORKA [14]
3 years ago
5

To serve 1 person at a local restaurant, it takes 10 minutes. To serve 5 people, it takes 18 minutes. Write and solve an equatio

n to find the number of minutes it will take to serve a party of 8? Please show all of your work!
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

The number of minutes it take to serve 8 person in party is 24 min

Step-by-step explanation:

Given as :

To serve 1 person at a local restaurant it take 10 minutes

To serve 5 person at a local restaurant it take 18 minutes

So, From given information . it is clear that ,

For ( 1 + n ) person to serve , the time required is ( 10 + 2 n) minutes

Take  n = 1 ,  For ( 1 + 1 ) person to serve , the time required is ( 10 + 2×1) min

I.e                      for 2 person to serve , time required is 12 min

Take n = 2 ,  For ( 1 + 2 ) person to serve , the time required is ( 10 + 2×2)min

I.e                      for 2 person to serve , time required is 14 min

Similarly for n = 7

For ( 1 + 7 ) person to serve , the time required is ( 10 + 2×7) min

I.e For 8    person to serve , the time required is 24 min

Hence The number of minutes it take to serve 8 person in party is 24 min  Answer

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If ABCD congruent to QRST, measure of angle A = x – 10º, and measure of angle Q = 2x – 30º, what is the measure of angle A?
belka [17]

Congruent means they are the same,

A and Q are both the first letters, which mean they would also be the same.

Set the two equations equal to each other, solve for x then solve for angle A.


x-10 = 2x-30

Add 30 to each side:

x+20 = 2x

Subtract 1x from each side:

x = 20


Now replace x with 20 in the equation for A


A = 20-10

Angle A = 10 degrees.

3 0
3 years ago
Add the equations.
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4 0
3 years ago
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How do I solve this proof?
andriy [413]
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6 0
3 years ago
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Leokris [45]

Step-by-step explanation:

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3 0
3 years ago
Joe bought g gallons of gasoline for ​$ 4.95 per gallon and c cans of oil for ​$ 5.45 per can.
hichkok12 [17]

Answer:

a. y(cost) = 4.95g + 5.45c

b. $91.12

Step-by-step explanation:

a. Joe bought g gallons of gasoline for 4.95, this can be represented as 4.95g. He bought c cans of oil for 5.45, this can be represented as 5.45c. Add them together to find the total cost, and it will look like this: y(cost) = 4.95g + 5.45c.

b. g = 9.6 gallons

c = 8 cans of oil

Plug these into the equation we did in part A

y(cost) = 4.95(9.6) + 5.45(8)

Solve

y(cost) = 47.52 + 43.6

y(cost) = 91.12

Therefore, if Joe bought 9.6 gallons of gasoline and 8 cans of oil, all in all he spent $91.12.

<em />

<em>Hope this helps!!</em>

<em>- Kay :)</em>

3 0
2 years ago
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