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3 years ago

Given the equation a = 2(b + 6) - 10, find the value of b when a = -18.

Mathematics

1 answer:

Rashid [163]3 years ago

3 0

Answer:

-10=b

Step-by-step explanation:

-18=2(b+6)-10

-18=2b+2

-20=2b

-10=b

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The force, F, needed to break a board in a martial arts class varies inversely with the length, L, of the board. If it takes 24

9966 [12]

Answer:

it would take 40 pounds of pressure to break the board.

Step-by-step explanation:

$F = \frac{x}{L}$

Now we plug in the numbers of force and length

$24 =\frac{k}{2.5}$

Now we multiply both sides by 2.5 to get rid of the fraction.

$60=x$

Now we plug in our variation constant

$F=\frac{60}{L}$

So we convert the length of 2.5 feet into inches. This is 18 inches. Since there are 12 inches in one foot, we have that 18 inches is equal to 18 divided by 12.

18÷12=1.5

We get that 18 inches is equal to 1.5 feet

we plug L = 1.5 into our inverse variation equation and solve for F.

$F=\frac{60}{1.5}$

This simplifies to F = 40

If you have any questions feel free to ask in the comments - Mark

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3 years ago

The measures of the angles of a triangle are shown in the figure below. Find the

dimaraw [331]

Answer:

318.6

Step-by-step explanation:

(3x-9) + (x+15) = 180

3x (x+15) -9 (x+15)

4x + 45x - 9x + 6 = 180

40x + 6 = 180

40x = 180 - 6

40x = 174

x = 4.34

(3x-9) = 4.34 * 3x-9 = 4.02

(x+15) = 4.34 + 15 = 19.34

180 - (4.02 + 19.34)

= 180 - 23.36

= 156.64

hope this answer helps!!

6 0

3 years ago

in one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins in another version of trail mix, there a

vlada-n [284]

Based on the ratios of the peanuts mixed with raisins in the versions of the trail mix, the ratios are equivalent for both mixes.

<h3>What are the ratios?</h3>

The first ratio is:

3 : 2

When taken to the simplest terms it is:

3/2 : 2/2

1.5 : 1

The second ratio is:

4.5 : 3

4.5/3 : 3/3

1.5 : 1

The ratios of the peanut and raisins mix are therefore equivalent.

Find out more on equivalent ratios at brainly.com/question/2328454

#SPJ1

8 0

1 year ago

write a function that has a greater rate of change than one function but a smaller rate of change than the other function

LenaWriter [7]

The function y = 5x has a rate of change that is in between the equation y = 4x and y = 6x.

In an equation, the rate of change is also called the slope. It is the amount that a number is increasing by. We put that value in front of the x in most equations.

In the equal that I gave, the 5 is in between the rates of 4 and 6.

4 0

3 years ago

How much paint does Brielle need to finish her room

KATRIN_1 [288]

Answer:

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Step-by-step explanation:

As, this question is incomplete, so we will create similar question and complete it. '

Let's suppose Brielle's room has following dimensions:

Length of two walls = 10 ft

Length of other two walls = 12 ft

Height of the room from bottom to ceiling = 10 ft

In order to calculate the amount of paint needed, we need to calculate the surface area of the room to be painted.

So, for that, add all the lengths together and multiply it by height of the room.

SF = (L1 +L2 +L3+ L4) x H

SF = (10 + 10 + 12 + 12) x (10)

SF = 440 sq.ft = Actual footage of the room to be painted.

Now, we have convert this number in gallons to know the amount of paint required to paint Brielle's room. For this, we need to divide our SF to 350 sq.ft per gallon.

Paint Needed = 440 sq.ft / 350 sq.ft per gallon

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

4 0

3 years ago