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3 years ago

Micah paid $45 for 14.5 gallons of gas. What is the estimated cost of one gallon of gas?

Mathematics

2 answers:

LiRa [457]3 years ago

8 0

Answer:

$3.00/ gallon

Step-by-step explanation:

Take the amount paid and divide by the number of gallons

We are estimating so round 14.5 gallons to 15

$45/15 gallons

$3.00/ gallon

devlian [24]3 years ago

7 0

Answer:

3.10

Step-by-step explanation:

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Is $5.40 the same as $7.00?

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Answer:

5.40 is not the same as 7.00

Step-by-step explanation:

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2 years ago

(x^2y^3) = (xy^a)^b

Rainbow [258]

Answer:

C. $\frac{3}{2}$

Step-by-step explanation:

To find the value f b, we need to compare the exponents.

The given exponential equation is:

$( {x}^{2} {y}^{3} )^{3} = ( {x} {y}^{a} )^{b}$

Recall and apply the following rule of exponents.

$( {x}^{m} )^{n} = {x}^{mn}$

We apply this rule on both sides to get:

${x}^{2 \times 3} {y}^{3 \times 3} = {x}^{b} {y}^{ab}$

Simplify the exponents on the left.

${x}^{6} {y}^{9} = {x}^{b} {y}^{ab}$

Comparing exponents of the same variables on both sides,

$b = 6 \: and \:\: ab = 9$

$\implies \: 6b = 9$

Divide both sides by 6.

$b = \frac{9}{6}$

$b = \frac{3}{2}$

4 0

2 years ago

Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches.

skelet666 [1.2K]

$\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \hrulefill\\ r=3\\ \theta =\frac{7\pi }{3} \end{cases}\implies s=3\cdot \cfrac{7\pi }{3}\implies s=7\pi$

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3 years ago

Read 2 more answers

If the length of the cord is l, determine the coordinates

LekaFEV [45]

Yes it determine the length

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2 years ago

Find the slope of y=7

Artist 52 [7]

Answer:

Step-by-step explanation:

According to the Slope-Intercept Formula, [y = mx + b], m represents the Rate of Change [Slope]. Since we ONLY have the y-intercept of [0, 7], that makes the slope 0.

I am joyous to assist you anytime.

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3 years ago