6 more than 5 times a number (x) is at least twenty–one

Mathematics

1 answer:

vredina [299]2 years ago

8 0

6 + 5x ≥ 21

By subtracting six from both sides you're left with 5x ≥ 15

Divide five from both sides to isolate the variable. hope it helped :)

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A line passes through the point (-2, 7) and has a slope of -5.

Ludmilka [50]

Answer:

-7

Step-by-step explanation:

3 0

2 years ago

Write the ratio 42 inches to 9 feet as a fraction in simplest form. Explain why you get the same result whether you convert feet

V125BC [204]

Let's convert one of these numbers:
1 foot = 12 inches

9 feet were 9*12=108 inches

so the ratio would be 42: 108

or we can simplify it: divide by 2:
21:54

divide by 3:
7:18

A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.

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2 years ago

Reference attached image for the problem.Please show your work for finding the partial area.

-Dominant- [34]

To find the area of a sector of a circle use the next formula:

$A=\frac{\theta}{360º}*\pi *r^2$

As the given circle has a outside angle 90º (it is not part of the sector of the circle) subtract the 90º from 360º (total angle of a circle) to find the angle of the sector:

$\theta=360º-90º=270º$

Find the area of the sector with angle 270º:

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