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marissa [1.9K]
1 year ago
7

To determine a monthly budget for gasoline, Rachael determines that she can not spend more

Mathematics
1 answer:
IrinaK [193]1 year ago
4 0

The solution of the given inequality is:

x ≤ 15.24

<h3>How to solve the inequality?</h3>

We know that the maximum that she can spend on gasoline is the 12% of $400.

That is:

(12%/100%)*$400 = 0.12*$400 = $48

Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:

x*$3.15 ≤ $48

To solve the inequality, we need to divide both sides by $3.15

x ≤ $48/$3.15

x ≤ 15.24

So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

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Find the volume of the solid by rotating the region bounded by y=x^3, y=8, and x=0 about the y axis.
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Answer:

Solution : Volume = 96/5π

Step-by-step explanation:

If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:

A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)

And now since the solid lies between y = 0, and y = 8, it's volume should be:

V =  ∫⁸₀  A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])

=> π ∫⁸₀ y^(2/3)dy

=> π[3/5 * y^(5/3)]⁸₀

=> 3/5π(³√8)⁵

=> 3/5π2^5

=> 96/5π ✓

7 0
3 years ago
I am not sure about this problem?
uranmaximum [27]
The answer for your question is 4x^2-15x+6+ 2/3x+5
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3 years ago
Sa piajes egne baseball games this season. Her point totais for each game were 8. 14.4 7.6.14, 4 and 7. What was
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Answer:

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Step-by-step explanation:

Since we know we can find the mean by adding all the numbers and dividing them by many numbers there were. Once you add 8, 14, 4, 7, 6, 4, and 7, you will get 64. Since there were 8 numbers, you divide 64 by 8 to get 8.

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The GCF of an odd number and an even number will always be even
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8 0
2 years ago
How to solve 15=x-3 ;_;
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X= 18

So that you can help yourself better use Math-way!!
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