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3 years ago

Use the substitution method to solve the system of equations. Choose the

Mathematics

1 answer:

bixtya [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the 2 equations

2x - y = 10 → (1)

2x - 2y = 4 → (2)

Rearrange (2) expressing 2x in terms of y by adding 2y to both sides

2x = 4 + 2y

Substitute 2x = 4 + 2y into (1)

4 + 2y - y = 10, that is

4 + y = 10 ( subtract 4 from both sides )

y = 6

Substitute y = 6 into either of the 2 equations and solve for x

Using (1)

2x - 6 = 10 ( add 6 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Solution is (8, 6 ) → C

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the perimeter of a rectangle is 70 cm . if the ratio of the width to the length is 2:5 what is the width ?

denpristay [2]

Answer:

width = 10 cm

Step-by-step explanation:

the ratio of width to length is 2 : 5 = 2x : 5x ( x is a multiplier )

the perimeter (P) of a rectangle is calculated as

P = 2 × width + 2 × length

given P = 70 then

2(2x) + 2(5x) = 70

4x + 10x = 70

14x = 70 ( divide both sides by 14 )

x = 5

Then

width = 2x = 2 × 5 = 10 cm and length = 5x = 5 × 5 = 25 cm

5 0

2 years ago

Read 2 more answers

I need help please explain how to do these two question as I did the rest of them. I just don't understand these.

Alexxandr [17]

Answer:

7. (4x +10)/(x^3 +3x^2 -16x -48)

9. -320/93

Step-by-step explanation:

7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.

6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))

= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator

= (6x +18 -2x -8)/((x -4)(x +3)(x +4))

= (4x +10)/((x^2 -16)(x +3))

= (4x +10)/(x^3 +3x^2 -16x -48)

_____

9. First you simplify the denominator:

2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400

Then you perform the division. This can be done by multiplying by the inverse of the denominator.

(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93

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3 years ago

What is the volume of a cube with an edge length of 3.2 meters?

Llana [10]

3,276.8 cm^3 or 32.768 m^3

3 0

3 years ago

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M plus 4 equals minus 12

lana [24]

M + 4 = -12
Subtract 4 from both sides
Final Answer: M = -16

3 0

3 years ago

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AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$