simplify the expressions
1.) 6(–2y) – 9 + 4(–2y + 6)
2.) 5(b – 4) + 12

Answer:

x = 109

Step-by-step explanation:

m4 =48

m =48/4

m = 12

now

m28 = 3x+9

12*28 = 3x + 9

336-9 = 3x

327/3 = x

109 = x

Answer:

x = -5

Step-by-step explanation:

8x - 10 = 4x - 30

Subtract 4x from each side

8x-4x - 10 = 4x-4x - 30

4x -10 = -30

Add 10 to each side

4x-10+10 = -30+10

4x= -20

Divide by 4

4x/4 = -20/4

x = -5

Answer:

2/3

Step-by-step explanation:

10/15 can be divided by 5

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

Answer:

9(2p-18) and 2(9p-18)

Step-by-step explanation:

The equivalent expression to the expression  18p - 36 are,

9(2p - 4p) and 2(9p - 18).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 18p - 36.

We know the distributive property states a(b + c) = ab + ac.

Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.

Therefore,

18p - 36 can be written as,

9(2p - 4p) and 2(9p - 18).

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Answer:

5, 12, 6, 4, 6, 5

Step-by-step explanation:

The nearest square root to 28 is 25, which is 5.

The nearest square root to 135 is 121, which is 12.

The nearest square root to 38.7 is 36, which is 6.

The nearest cubic root to 51 is 64, which is 4.

The nearest cubic root to 200 is 216, which is 6.

The nearest cubic root to 95 is 125, which is 5.

Answer:

i think u forgot to add the picture bro?

Step-by-step explanation:

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

Answer:

Its a very complex solution but it x

=

0

,

3

√

14

2

Step-by-step explanation:

Answer: 13x-1

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

2:5

Step-by-step explanation:

beacuse ratio is 8/20 which is equal to AP/PB= 2/5

Answer:

2.5

Step-by-step explanation:

AP is 8

PB is 20 thus

AP

PB is equal to8/20 which is 2.5

Answer:

8 quarters and 8 dimes

Step-by-step explanation:

Answer:

9 quarters 7 dimes they equal $2.95

Answer:

b

Step-by-step explanation:

Answer:

Quadratic function

Explanation:

It is not linear because the difference between y values is not constant.

([tex]10-5\neq 5-2[/tex] for example) In a linear function, the difference between y values would be constant.

Answer:

71

Step-by-step explanation:

6285 ÷ 89 = 71

Step-by-step explanation:

y = -5/6x - 4

(0,-4) is the y intercept

the slope is -5/6, it descends 5 and goes 6 horizontally.

Answer:

3 x10^4

Step-by-step explanation:

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]

6 * 2 tenths = 1.2

7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]

6 * 7 hundredths = 0.42

The partial products are:

18 + 1.2 + 0.42

The sum = 19.62

Answer:

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

Step-by-step explanation:

Answer:

-2.5

Step-by-step explanation:

Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6

Answer:

Step-by-step explanation:

Answer: A! x=-1 2/5, y= 1 3/5

Step-by-step explanation:

First put -3x+3y=9 into slope-intercept form(y=mx+b)

3y=-3x+9

then solve for y

y=-1x+3

enter your y-intercept into the equation below..

2x-7(-1x+3)=-14

2x+7x-21=-14

2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)

2x-7x=7

-5x=7 divide -5 into 7

7/5

x=-1 and 2/5

then input x back into the first equation

-3(7/-5)+3y=9

21/5+3y=9

3y=9-21/5

3y=24/5

divide 3 into 24/5

=24/15=1 and 9/15 reduce it anddd

y=1 and 3/5

Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:

Let the angle adjacent to ∠27° be x .

[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 27 \\ ∠x = 153°[/tex]

Let the angle opposite to ∠27° be y .

[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠y ( 27°) be w .

[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]

Let the angle opposite to ∠35° be p .

[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠35° be a .

[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]

Let the angle opposite to ∠35° be t .

[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle opposite to ∠145° be o .

[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]

Answer:

X=1/2, -2/5

Step-by-step explanation:

Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer:

:) :) :) :) :) :) :0

Step-by-step explanation:

2/5 and 1/2

Answer:

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

k = -7

Step-by-step explanation:

Step 1: Write equation

-k/5 = 7/5

Step 2: Solve for k

Step 3: Check

Plug in k to verify it's a solution.

-(-7)/5 = 7/5

7/5 = 7/5

Answer:

200 kilometers

Step-by-step explanation:

since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.

An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.