-7b - 4(b + 7) = -3b - 4(b-2)

Answers

Answer 1

Answer:

b = -9

Step-by-step explanation:

-7b - 4(b + 7) = -3b - 4(b -2)

First we want to distribute the coefficients across the parentheses. To do so, we multiply the coefficient by every term within the parentheses.

-7b - 4(b + 7) = -3b - 4(b - 2)

-4 • b = -4b

-4 • 7 = -28

-4 • b = -4b

-4  • -2 = 8

Simplify the expression with these new values.

-7b - 4b - 28 = -3b - 4b + 8

Now we want to combine the like terms. First combine the variables.

-7b - 4b - 28 = -3b - 4b + 8

-11b - 28 = -7b + 8

Combine further by adding 7b to both sides.

-4b - 28 = 8

Combine the constants by adding 28 to both sides.

-4b = 36

Isolate b by dividing both sides by -4.

b = -9

This is your answer.

Check your answer by plugging b = -9 back into the original equation.

-7b - 4(b + 7) = -3b - 4(b - 2)

-7(-9) - 4(-9 + 7) = -3(-9) - 4((-9) - 2)

63 - 4(-2) = 27 - 4(-11)

63 + 8 = 27 + 44

71 = 71

Your answer is correct.

Hope this helps!

Answer 2

Answer:

-9 is the required answer of b

Step-by-step explanation:

-7b - 4(b + 7) = -3b - 4(b-2)

open bracket

-7b-4b-28=-3b-4b+8

-11b-28=-7b+8

-11b+7b=28+8

-4b=36

b=36/-4=-9


Related Questions

6
B
42°
3.1 m
32°
A
D
С
Calculate the length of AB.
Show your working clearly.
Give your answer correct to 3 significant figures.

Answers

Answer:

D i did the test and got a 100

Step-by-step explanation:

Graph the image of the polygon after a reflection in the line y=x

PLEASE HELP

Answers

Answer:

a6,-3

b1,-2

c4,1

Step-by-step explanation:

The image of the polygon after a reflection in the line y=x is has vertices at A'(-3, 6), B'(-2, 1) and C'(1, 4) as shown in the diagram attached.

Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Reflection is the flipping of a figure. If a point A(x, y) is reflected about the line y = x, the new point would be at A'(y, x)

Given the polygon with vertices at A(6, -3), B(1, -2) and C(4, 1). The image of the polygon after a reflection in the line y=x has vertices at:

A'(-3, 6), B'(-2, 1) and C'(1, 4)

The image of the polygon is attached

Find out more at: https://brainly.com/question/15487308

Find the perimeter of the figure to the nearest hundredth.

Answers

Answer:

42.84cm

Step-by-step explanation:

The perimeter is the sum of all the side length and the circumference of the semicircle

circumference of the semicircle = 2πr/2 = πr

circumference of the semicircle = 3.14 * (12/2)

circumference of the semicircle = 3.14 * 6

circumference of the semicircle = 18.84cm

Perimeter of the figure = 10cm + 6cm + 8cm + 18.84cm

Perimeter of the figure = 42.84cm (to nearest hundredth)

What is the approximate height of a man who wears a
size 7 shoe? Round to the nearest whole number,
inches

Answers

If rounding it I would say maybe like 6.0

Answer: 64 inches

Step-by-step explanation:

Got it right

2/3 x 2/3 x 2/3 = plz answer me

Answers

The answer is 8/27 beacuse you must moltiplicate 2 for 2 and after for 2. Then 3 for 3, and after for 3

What is Obama's last name?

Answers

Answer:

OBAMA

Step-by-step explanation:

Answer:

obama

Step-by-step explanation:

Are the two triangles below congruent? explain how you know

Answers

I would say yes just by observing them for a few minutes

14 cm
8 cm
8 cm
....

Answers

the answer is 88 because the area of the square is 64 and the area of the triangle is 24 and 64+24=88

Answer:

88cm²

Step-by-step explanation:

8 x 8 = 64

14 - 8 = 6

6 x 8 = 48

48 ÷ 2 = 24

64 + 24 = 88

Someone please please help me on this!!!!

Answers

Answer:

constant of proportionality is 3.5, just divide the y column by the x column

ILL MARK YOU BRAINLIST PLEASE Simplify this expression

3x^(2) times 4x^(5)

Answers

Answer:

12[tex]x^{7}[/tex]

Step-by-step explanation:

3x^2(4)x^5

=3*x^2*4*x^5

=12*x^7

=12x^7

Please mark brainlist!

jada jumped rope for 15 mins.. what percentage of diegos time is that? (diegos time is 20 mins)

Answers

Answer:

103 percent

just divide 20 by 15 and multiply the answer by 100 to convert to percentage form bro

3) Simplify:
[tex] {12x}^{2} - 27 \\ 4 - (2x + 1)[/tex]

Answers

Answer:

4+ [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Answer:

[tex]3(4x^2-9)[/tex]

Step-by-step explanation:

First, we can start by factoring [tex]12x^2-27[/tex] so that we get:

[tex]3(4x^2-9)[/tex]

Second Question:

Answer:

Step-by-step explanation:

We can get rid of the parentheses by multiplying the minus inside:

[tex]4-(2x+1)=4-2x-1 \text{ Now, we see that -1+4=3, and that we have:}\\3+2x \text{ as our final answer }[/tex]

(2.5) to the power of 2 = ? please help ASAP

Answers

Answer: 6.25

Step-by-step explanation:

2.5 to the power of 2=6.25

Please help!!! my teacher doesn’t even know how to answer!!

Answers

Answer:

It is B

Step-by-step explanation:

If you subract the numbers(year5-year4=#) and you gather all of the # and add them, then subract the years again, you end up with B.

can you check my answers? ​

Answers

Answer:

theyre correct

Step-by-step explanation:

All of your answers are correct

Solve for x
2^x= 0.0625(X is an integer)

Answers

Answer:

there you go:)

..................

Answer=x=-4

This question is to do with logs and indices

2^x =0.0625

we know that 2³=8
And log2(8) = 3

*using this form we can solve for x*

2³=8
2^x =0.0625

log?(?) = ?

Both indices have a base of 2 so the log2 stays the same

Instead of 8 we put the 0.0625 in the bracket

So we get
log2(0.0625) = ?
Put this in your calculator and you should get

log2(0.0625) = -4

If the image below is dilated with a scale factor of 2, what is the perimeter of the dilated image?

Answers

Answer:

the answer is 24

Step-by-step explanation:

i got it correct on my test

what is more ? 3 slices of a 12 inch pizza or 2 slices of a 14 inch pizza

Answers

3 slices of 12 inch pizza is more than 2 slices of 14 inch pizza.

What is the best method to use?
- 4x - 2y = -12
4x + 8y = -24

Answers

Answer:

x=6, y=-6. (6, -6). I used elimination method.

Step-by-step explanation:

-4x-2y=-12

4x+8y=-24

-------------------

6y=-36

y=-36/6

y=-6

-4x-2(-6)=-12

-4x+12=-12

-4x=-12-12

-4x=-24

4x=24

x=24/4

x=6

Original Price Percent of Discount Sale Price $ 15% $146.54​

Answers

Answer:

$21.98

Step-by-step explanation:

Answer:

172.40

Step-by-step explanation:

algebra 1, help please

Answers

Answer:

A

Step-by-step explanation:

slope of line ⊥ to the line 4x-2y=6 or 2y=4x-6 or y=2x-3 is -1/2

eq. of line through (6,-8) with slope -1/2 is

y+8=-1/2(x-6)=-1/2 x+3

or y=-1/2 x+3-8

or y=-1/2 x-5

Austin’s mother bakes muffins at a rate of 4 dozen per hour. She signed up to bake 42 dozen for Sunday’s bake sale. How long will it take Austin’s mother to bake the required muffins?

Answers

Answer:

10.5 hours

Step-by-step explanation:

42/4 = 10.5

PLS HELP I WILL GIVE BRAINLIEST PLS

Answers

Answer:

B.

Step-by-step explanation:

x represents the amount of guests going to the birthday party, with the amount of money per guest being 12. You would multiply those two together, but as we do not know the total amount of guests, we keep it as a variable. 125 is the amount before the guests even know about the party, so therefore, you would need to use that equation.

Susan is planting a flower garden. She planted 4 lilies for every 5 rose bushes. If Susan plants 16 lilies, how many rose bushes did she plant?

Answers

Answer:

20 rose bushes

Step-by-step explanation:

Answer: 20 rose bushes

What numbers are less than 2.9 and -4.2?

Answers

the answer is -4.3!!!!!!!

Drag and drop the appropriate parts of an inequality into the boxes to form a complete inequality that
represents the description.
Max has less than 7 carrots (number of carrots Max has = c).
The inequality that describes this situation is

Answers

Answer:

c < 7.

Step-by-step explanation:

Number of carrots c is less than 7.

So, Christian has a collection of 18 shark teeth. He identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as bull shark teeth, I don’t get the 2nd question, can anyone help??

Answers

Answer:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth. And, the number of bull shark teeth is 4.

Step-by-step explanation:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth.

Since Christian has 18 shark teeth, and 6 are tiger shark teeth, 8 are sand shark teeth and the rest are bull shark teeth.

Let x represent the number of bull shark teeth.

So, total number of shark teeth = number of tiger shark teeth + number of sand shark teeth + number of bull shark teeth.

18 = 6 + 8 + x

18 = 14 + x

subtracting 14 from both sides, we have

18 - 14 = 14 - 14 + x

4 = 0 + x

4 = x

x = 4

So, the number of bull shark teeth is 4.

Someone help me with this please

Answers

Answer:

1/3 x 1/3 = ?

3 x 3 = ?

Step-by-step explanation:

3 x 3 = 9 yesyes

1/3 x 1/3 = 1/9

now we add, right? 9/1 ( same as 9 ) + 1/9 = ?

does it want it in fraction, decimal, or whole?

Answer:

9 1/9 is the answer

Step-by-step explanation:

1/3 to the power of 2 becomes 1/9

3 to the power of 2 becomes 9

[tex]\frac{1}{9} + 9[/tex]

whole numbers always go over a 1

[tex]\frac{1}{9} + \frac{9}{1}[/tex]

make 9/1 have the same denominator as 1/9 by multiplying the top and bottom with 9

[tex]\frac{1}{9} + \frac{81}{9}[/tex] [tex]= \frac{82}{9}[/tex]

the simplify 82/9

[tex]\frac{82}{9} = 9\frac{1}{9}[/tex]

The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A = {Monday, Tuesday,Wednesday, Thursday, Friday} and B = {Friday, Saturday, Sunday}, find the indicated set.

A intersect B '

Answers

Answer:

{Monday, Tuesday, Wednesday, Thursday}

Step-by-step explanation:

First we need to get the complement of B i.e B'

B' are the set in the Universal set but that are not in B

B' = {Monday, Tuesday, Wednesday, Thursday}

A= {Monday, Tuesday, Wednesday, Thursday, Friday}

A intersect B ' are the days of the week that are common to both sets;

A intersect B ' = {Monday, Tuesday, Wednesday, Thursday}

can someone help me plz ??

Answers

Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

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