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Artyom0805 [142]
2 years ago
15

Mels family is driving out of state to go to her grandmothers house. They know that it takes 20 gallons of gas to get there, and

the cost of 3 gallons of gasoline is $10.50. How much should the family budget to make the one way trip
Mathematics
1 answer:
Georgia [21]2 years ago
5 0
The answer to your question is $45.15
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Brianna has x nickels and y pennies. She has no less than 20 coins worth no more
Bond [772]

Answer:

y \ge 20 - x

y \le 80 -5x

(x,y) = (15,5)

Step-by-step explanation:

Given

Nickels = x

Pennies = y

Amount = \$0.80 maximum

Coins = 20 minimum

Required

Solve graphically

First, we need to determine the inequalities of the system.

For number of coins, we have:

x\ +\ y\ge 20 because the number of coins is not less than 20

For the worth of coins, we have:

0.05x\ +\ 0.01y\ \le0.80 because the worth of coins is not more than 0.80

So, we have the following equations:

x\ +\ y\ge 20

0.05x\ +\ 0.01y\ \le0.80

Make y the subject in both cases:

y \ge 20 - x

0.01y \le 0.80 - 0.05x

Divide through by 0.01

\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le 80 -5x

The resulting inequalities are:

y \ge 20 - x

y \le 80 -5x

The two inequalities are plotted on the graph as shown in the attachment.

y \ge 20 - x --- Blue

y \ge 80 -5x --- Green

Point A on the attachment are possible solutions

At A:

(x,y) = (15,5)

4 0
2 years ago
!!!!!!!!!!!!!!!!!!!!!!
bezimeni [28]

Answer:

x = 55

Step-by-step explanation:

To find the value of x

3x - 35 = 130 (vertically opposite angles are equal)

3x = 130 +35

3x = 165

x = 165/3

x = 55

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Step-by-step explanation:

50 is bigger than 20, so it's decreasing and the units are the same.

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Please solve with work shown<br><br> 3x-(x-5)=153
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