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2 years ago

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

Mathematics

2 answers:

GenaCL600 [577]2 years ago

5 0

Answer:

D. (2,5)

Step-by-step explanation:

For X:

2+2(5)=12

2+10=12

For Y:

5=2+3

xeze [42]2 years ago

5 0

Answer:

Step-by-step explanation:

Given the 2 equations

x + 2y = 12 → (1)

y = x + 3 → (2)

Substitute y = x + 3 into (1)

x + 2(x + 3) = 12 ← distribute and simplify left side

x + 2x + 6 = 12

3x + 6 = 12 ( subtract 6 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into (2) for corresponding value of y

y = 2 + 3 = 5

Solution is (2, 5 ) → D

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How do you put x=y-1 <br> into word form

77julia77 [94]

Answer:

x equals y minus one

Step-by-step explanation:

= means equals

- is minus

x and y cannot be put into any other (word) form

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1 year ago

A population of voters contains 40% republicans and 60% democrats. it is reported that30% of the republicans and 70% of the demo

Blizzard [7]

To get the probability of selecting a person who is a democrat and is favour to the issue, let us first calculate for the portions in each party who is favour on the issue.

p (rep & favour) = 0.4 * 0.3 = 0.12

p (dem & favour) = 0.6 * 0.7 = 0.42

Therefore the total portions who are favour is:

p (favour) = 0.12 + 0.42 = 0.54

Hence the probability is:

P (dem & favour) = 0.42 / 0.54 = 0.7778 = 0.78

Therefore there is about 78% probability that the person selected who is favour to the issue is a democrat.

5 0

3 years ago

The rectangular prism is made of 8 cubes and has and edge length of 1/2 in, what is the volume

sashaice [31]

Hello!

To find the volume of the prism you first have to find the volume of a cube

To do this you use the equation

$V = a^{3}$

V is volume
a is side length

Put in the values you know

$V = \frac{1}{2}^{3}$

Solve

V = 0.125

Now to find the volume of the prism you multiply the volume of one cube by the amount of cubes in the prism

0.125 * 8 = 1

The answer is 1 cubic inch

Hope this helps!

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3 years ago

1800 m of fencing is available to fence six identical pens as shown.

Alenkasestr [34]

I am not sure if i understand

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2 years ago

Write an equation that represents the line use exact numbers

RSB [31]

Answer:

y = (-6/7)x - 1

Step-by-step explanation:

There's a dot where this line crosses the y-axis; it's represented by the point (0, -1). Consequently, the y-intercept, b, of this line is -1.

As x increases from -6 to 0, y decreases from 7 to -1. The change in x is 7 units and the change in y is -6 units. Thus, the slope of this line is

m = rise / run = -6 / 7.

Again, the y-intercept is b = -1.

Thus, inserting the knowns into the slope-intercept form of the equation of a straight line results in:

y = (-6/7)x - 1

3 0

3 years ago