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marissa [1.9K]
2 years ago
7

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

Mathematics
1 answer:
IrinaK [193]2 years 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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Write the equation of the line in slope-intercept form with the given information. (-7, 13); slope = -2
Musya8 [376]

Answer:

The answer is

y =  - 2x + c \\ 13 =  - 2 \times  - 7 + c \\ c = 25 \\ y =  - 2x + 25

8 0
3 years ago
Write an exponential function in the form y = ab that goes through points (0,4)<br> and (2, 196).
yawa3891 [41]

Answer:

y = 4(7)^{x}

Step-by-step explanation:

The form of the exponential function is y = a b^{x}

Use the given points to solve for a and b

Using (0, 4 ), then

4 = ab^{0} ( b^{0} = 1 ), thus a = 4

y = 4 b^{x}

Using (2, 196 ), then

196 = 4b² ( divide both sides by 4 )

49 = b² ( take the square root of both sides )

b = \sqrt{49} = 7

y = 4(7)^{x} ← exponential function

6 0
4 years ago
Estimate the perimeter and area of the shaded figure to the nearest tenth.
Maru [420]

Answer:

Perimeter = 18.7 units

Area = 13.5 units²

Step-by-step explanation:

Perimeter of ADEC = AD + DE + EC + AC

Length of AD = 3 units

By applying Pythagoras theorem in ΔDBE,

DE² = DB² + BE²

DE² = 3² + 3²

DE = √18

DE = 4.24 units

Length of EC = 3 units

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

AC² = 6² + 6²

AC = √72

AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

                                 = 18.73 units

                                 ≈ 18.7 units

Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

                       = \frac{1}{2}(6)(6)

                       = 18 units²

Area of ΔBDE = \frac{1}{2}(BD)(BE)

                       = \frac{1}{2}(3)(3)

                       = 4.5 units²

Area of ADEC = 18 - 4.5

                        = 13.5 units²

6 0
3 years ago
Look at the photo pick A B C D either one explanation not needed thank you! &lt;3
emmainna [20.7K]

Answer:

A

Step-by-step explanation:

-5 i s greater than -2.

Nope that aint true

-2 is greater than -5 is correct since -2 is closer to the postivie numbers and zero.

-5 is farther so it is less than -2.

7 0
3 years ago
Read 2 more answers
Evaluate -6^ 2 - 28 ÷ 4 + (-9).<br><br> 52<br> -52<br> 20<br> -20
kirill [66]
I hope this helps you




-36-7-9


-52
3 0
4 years ago
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