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-4(3r - 2) - 2(r + 1) = 0

-12r + 8 - 2r - 2 = 0

-14r + 6 = 0

-14r = - 6

r = 6/14

r = 3/7

Answer:

[tex]\huge\boxed{\sf -14r+6}[/tex]

Step-by-step explanation:

[tex]\sf -4(3r-2)-2(r+1)\\\\Resolving \ Parenthesis\\\\= -12r+8-2r-2\\\\Combining \ like \ terms\\\\= -12r -2r +8-2\\\\= -14r+6\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

                                          Answer and Explanation

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Number 1. [tex]6\ \frac{7}{8}+5\ \frac{1}{4}[/tex] = [tex]12.125[/tex] = [tex]12\ \frac{1}{8}[/tex]

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Number 2. [tex]3\ \frac{1}{7}+8\ \frac{1}{9}[/tex] = [tex]11.253968254[/tex] = [tex]11\ \frac{16}{63}[/tex]

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Number 3. [tex]12\ \frac{1}{5}-5\ \frac{5}{6}[/tex] = [tex]6.36666666667[/tex] = [tex]6\ \frac{11}{30}[/tex]

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Number 4. [tex]\frac{9}{10}+\frac{3}{5}[/tex] = [tex]1.5[/tex] = [tex]1\ \frac{1}{2}[/tex]

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Number 5. [tex]7\ \frac{2}{3}-3\ \frac{1}{7}[/tex] = [tex]4.52380952381[/tex] = [tex]4\ \frac{11}{21}[/tex]

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Number 6. [tex]9\ \frac{7}{8}-2\ \frac{5}{6}[/tex] = [tex]7.04166666667[/tex] = [tex]7\ \frac{1}{24}[/tex]

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Number 7. [tex]4\ \frac{1}{2}+2\ \frac{3}{8}[/tex] = [tex]6.875[/tex] = [tex]6\ \frac{7}{8}[/tex]

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Hope this helps! <3

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Answer:

A.

Step-by-step explanation:

Everything else is right

Answer:

m= -1/4

b= -3

Step-by-step explanation:

y=mx+b

slope=m

m= -1/4

b=y-intercept

b= -3

Answer:

D.

Step-by-step explanation:

R is remainder and to have equal amounts in each bin she could not put them in one.

It represents the number of bins leftover.

Hope this helped:) Have a grate holiday!

Answer:

6(2) -2(-5) Substitute the values given into the expression and multiply. 12+10 ... 1. 2x-(3-4y), when x = 5 and y=-3. 215)-(3-4(-3)). 10-(3+12). 10-15. 2. ... + (3 - 3 x + 1 +. 6-3x = 4x + 4. Bebetto. 2=7x -. - 4-2=34+12. - ý 2=2y+12. + ... y = 2x-1. Simplify. Subtract 2x from each side. Multiply both sides by -1. 2+3 m.

Step-by-step explanation:

If 2x + y = 7 and x + 2y = 5, then (x + y)/3 = (A) 1 (B) 4/3 (C) 17/5 (D) ... Divide both sides by 3 to get: x + y = 4 ... 2*(x+2y = 5) equals 2x+4y=10 ... or subtracting one from the other and it likely happens 90% times that ... If a question involves a system of two equations, and we're asked to find the value of ONE

Answer: A

Step-by-step explanation:

because 1* 3 is 3 then 1/3*3 is 3/3 which is one whole son it s 4 quarts

1 1/3 quart of each type of juice is needed to make 4 quarts of punch. Option A is correct.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
An equal amount of three different juices are combined to make a quart of punch,
For 1 quart, of punch, the proportion of each of the three juice will be 1/3,
Now,
for 4 quarts of juice proportion of each juice will be 4 times 1/3 so,
Quantity of each juice = 4/3 or  1 1/3.

Thus, 1 1/3 quart of each type of juice is needed to make 4 quarts of punch. Option A is correct.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

Answer:

good job

Step-by-step explanation:

1 mile per minute

Step-by-step explanation:

you see in the time span from 15 to 20 minutes it is 5 minutes and he ran five miles in five minutes so he ran 1 mile per minute :)

Answer:

15 houses

Step-by-step explanation:

40 ÷ 8 = 5  Company X provides electricity to 5 houses

40 - 5 = 35

Half of 40 = 20  Company Y provides electricity to 20 houses

35 - 20 = 15

Company Z provides electricity to 15 houses.

Answer: 1560 ft squared

Step-by-step explanation:

Answer:

How are this equation and the equation of the line related? They both use the same variable to put it together. What does this relationship mean about any triangle created using this line? They are both put together so it would fit on the graph.

Step-by-step explanation:

The graph shows 1:2, where it's at. And they fit well because the numbers are next to each other. On the y axis, it's 2, right? And on the x axis it's 1, right? So it's 1:2 if that's what you're asking?

Answer:

1: Same 2: They are same

Step-by-step explanation:

The slope of the line is 6, which can be interpreted as Jack saving $6 per week. (Option A).

Recall:

Proportional relationship between two quantities can be given as: y = mx, where m = slope.

Slope (m) = y/x (of a graph that is proportional)

Given the proportional graph, using a point on the line, (5, 30):

Slope (m) = [tex]\frac{30}{5} = 6[/tex]

Therefore, the slope of the line is 6, which can be interpreted as Jack saving $6 per week. (Option A).

Learn more here:

https://brainly.com/question/6869319

Answer: 8.5

Step-by-step explanation: 8.5 because 34 divided by 4 is 8.5. To find the unit rate, make 4 hours turn to 1 hour. To do that, divided 4 by 4. Do the same with the other number, which is 34. 34 divided 4 is equal to 8.5

Answer:

8.5 dollars

Divide 34 by 4 = 8.5

Caleb makes 8.5 dollars per hour at the carwash

And here;

If 17 can make 85%

This shows that,20 will make a total 100%

Answer: You could use really any but i would probably do division or subtraction

Step-by-step explanation:

Answer:

a) a

b) a

c) b

formulas you may need for the first two

slope intercept and y = mx+b

for c just look at the graph rise over run

Step-by-step explanation:

good luck

Answer:

the 1st and last one

Step-by-step explanation:

Answer:

The dilation's scale factor is 1/2.

Step-by-step explanation:

What we know:

Square ABCD's side lengths are all 3.

-2 - (-5)

-2 + 5 = 3

-5 - (-8)

-5 + 8 = 3

Square A'B'C'D''s side lengths are all 1.5.

-2.5 - (-4)

-2.5 + 4 = 1.5

-1 - (-2.5)

-1 + 2.5 = 1.5

Divide the scale (A'B'C'D') by the original (ABCD) to get the scale factor

1.5/3 = 1/2 as the scale factor of the dilation

Answer: x = -4

Step-by-step explanation:

so, we first move the terms.

-4x = -4 + 20

then, we just calculate that.

-4x = 16

finally, simply divide both sides.

x = -4

Hello!

[tex]\huge\boxed{\pi }[/tex]

The equation for the circumference of a circle is:

C = dπ

Find the quotient of a circle's circumference by dividing the diameter from the circumference:

C / d = π

Therefore, the quotient is pi.

Answer:

Very certain it is C

Step-by-step explanation:

There are no points on the graph line itself so I cannot really confirm this but i am 70% sure

Answer:

A. 0.52

B. 0.48

C. 0.13

Step-by-step explanation:

Not 100% on this one

A. 42/81

B. 39/81

C. 6/45

Answer:

w = 16

Step-by-step explanation:

5w+ 16 = 96

or, 5w = 96-16

or, w = 80/5

or, w =16

Answer:

[tex]w=16[/tex]

Step-by-step explanation:

[tex]5w+16=96[/tex]

To solve for [tex]w[/tex], you must first begin by subtracting [tex]16[/tex] from both sides of the equation:

[tex]5w=80[/tex]

Then, divide both sides of the equation by the coefficient of [tex]w[/tex], which is [tex]5[/tex]:

[tex]w=16[/tex]

-

To check your work, substitute the solved value of [tex]w[/tex], ([tex]16[/tex]), in for [tex]w[/tex] in the initial equation:

[tex]5w+16=96[/tex]

[tex]5(16)+16=96[/tex]

[tex]80+16=96[/tex]

[tex]96=96[/tex]

Since both sides of the equation are equal, our solution is correct!

Hope this helps!

A is-2/5

B is -1/5

C is -4/5

D is -3/5

Answer:

none of them do

Step-by-step explanation:

Answer:

A) 4(7+x)=64

B) 4x+7=64

Step-by-step explanation:

A

4(7+x)=64

*Disturabute 4 to (7+x)*

28+4x=64

*Subtract 28 on both sides*

4x=36

*Divide by 4*

x=9

**If you do a Check it works*

B

4x+7=64

*Subtract 7*

4x=57

*Divide by 4*

x=14.25

**If you do a Check this also works**

Hope This Helps!!!

Answer: 78.75

its just multiplying the extra 25 cents they added by the number of tickets they sold(315) and that equals 78.75$