The equation y = 0.30x + 69 models the cost y of renting a car if the car is driven x miles.

Mathematics

1 answer:

kumpel [21]3 years ago

3 0

Answer 191

0.3(405)+69=190.50

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There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mix

hichkok12 [17]

Answer:

to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.

Step-by-step explanation:

According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.

We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:

A + B = 1000 gallons. [1]

0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]

(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).

Solving the system of equations:

A + B = 1000 ⇒ A = 1000 - B [3]

[3] → [2]

0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100

⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]

[4] → [1]

A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7

Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'

4 0

3 years ago

Help :) <br> g(r)=−1−7r<br> g(6)

denpristay [2]

<span>g(r) = -1 − 7r

g(6) = -1 - 7*6 = -1 - 42 = -43

Hope it helps!
</span>

3 0

3 years ago

Read 2 more answers

Footballs sell for $27.99 each at Dicks Sporting Goods and $21.59 each at Big 5. If the coach buys a dozen footballs, how much c

klasskru [66]

Answer:

The money he can save by buying them at Big 5 is $76.80.

Step-by-step explanation:

Given:

Footballs sell for $27.99 each at Sporting Goods.

Footballs sell for $21.59 each at Big 5.

The coach buys a dozen footballs.

Now, to find the amount he save by buying them at Big 5.

So, first we find the cost of footballs at Sporting Goods and at Big 5.

1 Dozen = 12 pieces.

Thus, the cost of footballs at Sporting Goods =

$\$27.99\times 12 =\$335.88$

And, the cost of footballs at Big 5 =

$\$21.59\times 12=\$259.08.$

Now, to get the amount coach can save by buying them at Big 5, we subtract both the cost as the cost of Sporting Goods is more than the Cost of Big 5:

The amount coach can save by buying them at Big 5 =

$\$335.88-\$259.08=\$76.80.$