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2 years ago

Solve for y 2x-5y=10

Mathematics

2 answers:

scZoUnD [109]2 years ago

6 0

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Write equation

2x - 5y = 10

Step 2: Solve for y

Subtract 2x on both sides: -5y = 10 - 2x
Divide both sides by -5: y = -2 + 2/5x
Rewrite: y = 2/5x - 2

nika2105 [10]2 years ago

3 0

Y= 2/5x-2
explanation:
write the equation out—

-5y=10-2x

subtract 2x from both sides —

-5y=10-2x

divide both sides by -5 —

y=-2+2/5x

rewrite your equation —

y= 2/5x-2

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A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?

zzz [600]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}$

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

First, finding the width of a rectangle

$\boxed{ \sf{perimeter = 2(l + w)}}$

plug the values

⇒ $\sf{64 = 2(20 + w)}$

Distribute 2 through the parentheses

⇒ $\sf{64 = 40 + 2w}$

Swap the sides of the equation

⇒ $\sf{40 + 2w = 64}$

Move 2w to right hand side and change it's sign

⇒ $\sf{2w = 64 - 40}$

Subtract 40 from 64

⇒ $\sf{2w = 24}$

Divide both sides of the equation by 2

⇒ $\sf{ \frac{2w}{2} = \frac{24}{2} }$

Calculate

⇒ $\sf{w = 12 \: inches}$

Width of a rectangle ( w ) = 12 inches

Now, finding the area of a rectangle having length of 20 inches and width of 12 inches

$\boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}$

plug the values

⇒ $\sf{area \: of \: rectangle =20 \times 12 }$

Multiply the numbers : 20 and 12

⇒ $\sf{area \: of \: rectangle = 240 \: {inches}^{2} }$

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

7 0

2 years ago

A true-false examination was constructed with the answers running in the following sequence: T F F T F T F T T F T F F T F T F T

julia-pushkina [17]

Answer:

yes

Step-by-step explanation:

lets use a significance level of = 0.1

Determine if the sequence indicates randomness

First step :

H0 : pattern is random

H1 : pattern not random

n1 ( number of true answers ) = 10

n2 ( number of false answers ) = 10

also number of runs for T = 5

number of runs for F = 5

Total number of runs = 5+ 5 = 10

Given that critical value at 0.05 = 23

we will reject the null hypothesis ( i.e the sequence departs from randomness )

3 0

2 years ago

O.6 as a mixed number

ella [17]

Answer:

3/5

Step-by-step explanation:

To make 0.6 as a fraction (you can't make it a mixed number because there is no number to the left of the point) place a 1 under it to make it a fraction:

0.6/1

Since you can't have a decimal on a fraction, multiply by 10;

0.6/1 × 10/10 =6/10

Simply your answer (6/10) to get 3/5

6 0

2 years ago

Help! What si the verbal expression for this algebraic expression: 2x - 4 < 4x +8

katrin2010 [14]

Answer:

C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.

General Formulas and Concepts:

Pre-Algebra

Converting expressions to word form

Step-by-step explanation:

Step 1: Define

2x - 4 < 4x + 8

Step 2: Translate

"2x" is the product of two and a number x

" - 4" is four less

"<" is less than

"4x" is the product of four and a number x

" + 8" is increased by 8

Step 3: Combine

The difference between the product of two and a number x and 4 is less than the sum of the product of four and a number x and 8.

Step 4: Reword

Four less than the product of two and a number is less than the product of four and the same number increased by eight.

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FrozenT [24]

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