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2 years ago

Use substitution to solve the following system of equations. 9x + 5y = 32 AND y = -3x + 4

Mathematics

1 answer:

Darya [45]2 years ago

4 0

Answer:

x = -2

y = 10

Step-by-step explanation:

Since they already gave y as -3x +4, you will then have to substitute that amount into the formula

9x + 5y = 32

By doing that you get

9x +5(-3x+4) = 32

9x -15x +20 = 32

Then, you ill take 20 to the other side to subtract 32, which will get you

-6x = 12

Then, you will get x = -2

Then substitute that for the equation

y = -3x + 4

You will get

y = -3(-2) + 4,

You will get y as 10

SO then your final answer is x = -2, y = 10

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A cylinder has a volume 1200 cubic inches and radius 5 inches. What is the height of the cone to the nearest tenth inch

mihalych1998 [28]

Answer: 15.3 in

Step-by-step explanation:

First, the formula for the volume is: $V=\pi r^2h$

If you solve for h,

$h=\frac{V}{\pi r^2}$

$h=\frac{1200in^3}{(3.14)(5in)^2}$

$h=15.3in$

3 0

3 years ago

Write an equation of a line in point-slope, slope-intercept, and standard form that has

Inga [223]

Answer:

(a) $y + 4x - 14 = 0$

(b) $y = -4x + 14$

Step-by-step explanation:

The formula for calculating the equation of line in point - slope form is given as :

$y-y_{1} = m(x-x_{1} )$

where m is the slope

Given from the question :

m = - 4

$x_{1}$ = 2

$y_{1}$ = 6

Substituting into the formula , we have :

$y - 6 = - 4(x - 2)$

$y - 6 = -4x + 8$

$y + 4x - 6 - 8 = 0$

$y + 4x - 14 = 0$

Therefore :

(a) the equation of the line in point - slope form is $y + 4x - 14 = 0$

(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give : $y = -4x + 14$

5 0

3 years ago

Which statement best describes the relationship between the number of chores completed and the number of hours spent on the inte

Maksim231197 [3]

C. For every decrease of one chore completed, one hour was spent on the internet.

4 0

2 years ago

What is the angle of DBC

Licemer1 [7]

When added, these two angles are supplementary, meaning that their sum is 180. This means that we can do the following to find x, and eventually DBC:

3x+67+4x+50=180
Simplifies to:
7x+117=180
Then by the Subtraction Prop. of Equality:
7x=63
Then divide by 7 on both sides to get that x=9.

We then substitute 9 into angle DBC.
4(9)+50
=36+50
DBC=86

:)

8 0

3 years ago

One teacher wants to give each student 7 over 9 of a slice of pizza. If the teacher has 7 slices of pizza, then how many student

Anna007 [38]

Total = 7 slices.
1student = 7/9 of a slice.

Total number of students:

$7 \div \dfrac{7}{9}$

$= 7 \times \dfrac{9}{7}$

$= 9$

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Answer: She will be able to hand out to 9 students.
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3 0

3 years ago