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3 years ago

What is (2n-8)(-2)=24

Mathematics

1 answer:

Crank3 years ago

6 0

Answer:

n=-2

Step-by-step explanation:

(2n−8)(−2)=24

(2n)(−2)+(−8)(−2)=24(Distribute)

−4n+16=24

−4n+16−16=24−16

−4n=8

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Find the smallest set of three consecutive integers such that the sum of the three integers is greater than twice the largest in

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3 years ago

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your car broke down and the final bill was $306.50. The part that was replaced cost $119 and the charge mechanics labor was 75 p

erastova [34]

Answer:

$\huge\boxed\text{Equation:}$ $\huge\boxed{\text{Equation: }119+75x=306.50}\\$

$\huge\boxed{\text{Hours worked on: } 2.5}$

Step-by-step explanation:

We can create an equation for this problem by converting the words to an equation.

The <em>flat fee</em> was $119. We then add $75 for every hour worked. This means that this becomes $119+75x$ . Since the total cost was $306.50, the equation is $119+75x=306.50$ .

We can now solve for x, the amount of hours worked, to find it’s value.

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3 years ago

Serhud [2]

A circle is characterized by radius, arc, sectors and circumference

The length of the major arc is $18.75\pi$
The radius of the circle is 15
The area of the shaded sector is $140.625 * \pi$

<h3>Length of the major arc</h3>

The given parameters are:

$C = 30\pi$ --- the circumference

$\theta = 225^o$ -- the center angle

The length of the major arc is calculated using:

$L = \frac{\theta}{360} * C$

So, we have:

$L = \frac{225}{360} *30\pi$

Evaluate

$L = 18.75\pi$

Hence, the length of the major arc is $18.75\pi$

<h3>The radius of the circle</h3>

The circumference is given as:

$C = 30\pi$

So, we have:

$2\pi r = 30\pi$

Divide through by 2pi

$r = 15$

Hence, the radius of the circle is 15

<h3>The area of the shaded sector</h3>

The area of a sector is:

$A = \frac{\theta}{360} * \pi r^2$

So, we have:

$A = \frac{225}{360} * \pi * 15^2$

Evaluate

$A = 140.625 * \pi$

Hence, the area of the shaded sector is $140.625 * \pi$

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2 years ago

Question 16. I need to know how to do this problem because I have a math final tmr!

aniked [119]

A ratio shows us the number of times a number contains another number. Monique should choose the third option.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

Given Monique prefers the ratio of multiple-choice questions to essay questions to be 4:1, Therefore, we can write,

Multiple choice questions/ essay questions = 4/1,

If we multiply both the numerator and the denominator by 6, the ratio will be,

Multiple choice questions/ essay questions = 4/1 × 1

Multiple choice questions/ essay questions = (4/1) × (6/6)

Multiple choice questions/ essay questions = 24 / 6

Thus, Monique should choose the third option.

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2 years ago

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Answer:

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Step-by-step explanation:

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4 years ago