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2 years ago

The rational number -21/28 in standard form is a) -3/4 b) 3/4 c) 3/7 d)-3/7

1 answer:

5 0

Answer:
-3/4

Explanation:
-21 and 28 are both multiples of 7. Divide the numerator and denominator by 7 to simplify it.

-21/28
= -3/4

I hope this helps!

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Contact [7]

Answer:

$\dfrac{z-y}{a+b}$

Step-by-step explanation:

Given expression:

$\dfrac{z^2-y^2}{a^2-b^2}\div \dfrac{z+y}{a-b}$

Substitute

$a^2-b^2=(a-b)(a+b)\\ \\z^2-y^2=(z-y)(z+y)$

into the expression:

$\dfrac{(z-y)(z+y)}{(a-b)(a+b)}\div \dfrac{z+y}{a-b}\\ \\ \\=\dfrac{(z-y)(z+y)}{(a-b)(a+b)}\times \dfrac{a-b}{z+y}\\ \\ \\=\dfrac{z-y}{a+b}$

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3 years ago

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Geometry thing help<br>aa

irina [24]

Answer:

Step-by-step explanation:

Since we know that the two lines are parallel because of alternate interior angles (5x-20)=3x

then solve for x

5x-20=3x

-20=-2x

x=10°

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3 years ago

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Create a system of equations

Vika [28.1K]

Answer:

Answer: Janet is 16, and David is 11.

Step-by-step explanation:

Let the ages be j and d.

j = d + 5

j + d = 27

Substitute d + 5 for j in the second equation.

d + 5 + d = 27

2d + 5 = 27

2d = 22

d = 11

Substitute 11 for d in the first equation.

j = d + 5

j = 11 + 5

j = 16

Answer: Janet is 16, and David is 11.

6 0

2 years ago

In the triangle below,

Greeley [361]

Answer:

12.3

Step-by-step explanation:

You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.

cos 35 degrees = adjacent/hypontenuse

cos 35 = y/ 15

15( cos35 ) = y

y=12.287

=12.3

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2 years ago

a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes d

Pachacha [2.7K]

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

6 0

3 years ago