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2 years ago

Please help worth a lot of points!!!

Mathematics

1 answer:

V125BC [204]2 years ago

8 0

Let's solve this problem step by step

$2x+3=4(x-6)$ | Given Equation

$2x+3=4x-24$ | Distributive Property of Multiplication over subtraction

$3=2x-24$ | Subtraction Property of Equality

$27=2x$ | Subtraction Property of Equality

$\frac{27}{2}=x$ | Division Property of Equality

Definition of each property:

Distributive Property of Multiplication over subtraction: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.
Subtraction Property of Equality: if the same value is subtracted from two equal sides, the differences remain the same
Division Property of Equality: if the same value is divided from two equal sides, the equation remains the same

Hope that helps!

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In the parallelogram below find why

Mkey [24]

Angle E=130degrees because those two are congruent. Therefore if you 180-130 you'll get the other angle in the triangle with 70degrees and y. 180-130=50degrees. Then add 50 and 70. 50+70=120degrees. A triangle is supposed to have 180 degrees inside.
180-120=60degrees.
Therefore y=60degrees

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3 years ago

Shawn earns $12.75 per hour. How many hours does she need to work to earn $102 or more. Write and solve an inequality.

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2 years ago

a book store contains 75,972 books, divided in three sections: science, business, and math. thr science section represents 1/3 o

Pachacha [2.7K]

Given that total number of books in the book store = 75972

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4 years ago

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Melissa got two puppies, Ben and Sadie.

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Answer:

x = 4y - 20

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3 years ago

Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the

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Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

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3 years ago

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