What is the value of x

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1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the

solid

A.(a + 3b). (a - 3b), and (ab + 7)

C. (a + 3b). (3a - 3b), and (ab + 3 )

B.(3a+ 3b). (a - 3b), and (ab + 7)

D. (a + 3b). (a-3b), and (ab + 3)

2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than

times its width. If the floor area is to be 256 square meters, what must be the length and width of the building?

A.6 meters long and 16 meters wide C. 8 meters long and 32 meters wide

B.30 meters long and 10 meters wide D. 32 meters long and 8 meters wide

3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the weidin

of the room?

A. 10 units

B. 11 units

C 12 units

D. 13 units

4. One of the factors of 2b2 + 15b-50 is b +10. What is the other factor?

A.2b - 10

B. 2-5

C. 2b +5

D. 2b + 10

5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of

the height?

A. 3x - 2 cm.

B. 3x + 2 cm

C. 6x-4 cm

D. 6x + 4 cm

Answer:

1 A.(a + 3b). (a - 3b), and (ab + 7)

2 D. 32 meters long and 8 meters wide

3 A. 10 units

4 B. 2b -5

5. C. 6x - 4 cm

Step-by-step explanation:

Choose the letter of the correct answer Write the chosen letter on a separate sheet of

1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the

solid

We pick the options one after the other

A.(a + 3b). (a - 3b), and (ab + 7)

(a² -3ab + 3ab -9b²)(ab + 7)

(a² - 9b²) (ab + 7)

a²b - 9ab³ - 63b²

C. (a + 3b). (3a - 3b), and (ab + 7 )

(3a² - 3ab + 3ab -9b³)(ab + 3)

(3a² - 9b³)(ab + 3)

3a³b + 21ab² - 9b⁴a - 27b³

B.(3a+ 3b). (a - 3b), and (ab + 7)

(3a² - 9ab + 3ab - 9b²)(ab + 7)

(3a² - 6ab - 9b²)(ab + 7)

3a³b +21a² - 6a²b² + 42ab - 9ab³ - 63

D. (a + 3b). (a-3b), and (ab + 3)

(a² -3ab + 3ab - 9b²)(ab + 3)

(a² - 9b²) (ab + 3)

a³b + 3a² - 9ab³ - 27b²

Therefore, option A.(a + 3b). (a - 3b), and (ab + 7) is the correct option

2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than 3 times its width . If the floor area is to be 256 square meters, what must be the length and width of the building?

Area of a rectangle = Length × Width

Length of the building is to be 8 meters more than times its width.

= Length = 3W + 8

Area = 256m²

Hence:

256 =( 3W + 8 )× W

256 = 3W² + 8W

= 3W² + 8W - 256

Factorise

= 3W(W - 8) + 32(W - 8)

= (3W + 32) ( W - 8)

W - 8 = 0

W = Width = 8m

Length = 3W + 8

Length = 3(8) + 8

= 24 + 8

= 32m.

D. 32 meters long and 8 meters wide

3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the width

of the room?

A. 10 units

B. 11 units

C 12 units

D. 13 units

Area = Length × Width

The width is 3 meter less than its length

W = L - 3

Area = 130 square units

Hence:

130 = L (L - 3)

130 = L² - 3L

L² - 3L - 130

= L² + 10L - 13L - 130

= L(L + 10) - 13(L + 10)

= (L - 13) (L + 10)

L - 13 = 0

L = Length = 13 units

L + 10 = 0

L = -10 units.

W = L - 3

L = 13 units

W = 13 - 3

W = 10 units

Therefore, the width of the room is 10 units

A. 10 units

4. One of the factors of 2b² + 15b-50 is b + 10. What is the other factor?

A.2b - 10

B. 2b -5

C. 2b +5

D. 2b + 10

2b² + 15b -50

One of the factors is b +10.

We factorise

2b² + 15b - 50

= 2b² + 20b - 5b - 50

= 2b(b + 10) - 5(b + 10)

= (2b - 5) (b + 10)

The other factor is 2b - 5

B. 2b -5

5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of

the height?

A. 3x - 2 cm.

B. 3x + 2 cm

C. 6x-4 cm

D. 6x + 4 cm

Nachos are triangular in shape

Area of a triangle = 1/2 × Base × height

A = 1/2 bh

A = bh/2

2A = bh

h = 2A/b

The area of the nachos is 15x - 10x square centimeters. If the base is 5x centimeters,

h = 2(15x² - 10x)/5x

h = 30x² - 20x/5x

h = 30x²/5x - 20x/5x

= 6x - 4 cm

the length of the height is:

C. 6x - 4 cm

Answer:

what is the question

Step-by-step explanation:

Answer:

1. add 14 to both sides

b/2 = 8E + 14

2. multiply both sides by 2

b = (8E + 14) x 2

3. regroup terms

b = 2(8E + 14)

Hope this helped :)

Answer:

[tex]x = \frac{21}{2}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x − 3(x+9) + 10 = 4

5x + (−3)(x) + (−3)(9) + 10 = 4 (Distribute)

5x + −3x + −27 + 10 = 4

(5x+−3x) + (−27+10) = 4 (Combine Like Terms)

2x + −17 = 4

2x − 17 = 4

Step 2: Add 17 to both sides.

2x − 17 + 17 = 4 + 17

2x = 21

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{21}{2}[/tex]

[tex]x =\frac{21}{2}[/tex]

Hope it helps!!

Answer:

by BPT it will be solved

Step-by-step explanation:

CQ/QA=CP/PD

x+2/x=5x+4/3x

by cross multiplication

answer will be 1

Parallel sides are sides that are equidistant from one another. The value of x is 1

Given that:

[tex]CQ = x + 2\\QA = x\\CP = 5x + 4\\PD = 3x[/tex]

Since:

QR & AB are parallel, and RP & BD are parallel.

Then by theorem of similarities:

[tex]\frac{CQ}{QA} = \frac{CP}{PD}[/tex]

This gives:

[tex]\frac{x+2}{x} = \frac{5x + 4}{3x}[/tex]

Multiply both sides by 3x

[tex]3x \times \frac{x+2}{x} = \frac{5x + 4}{3x} \times 3x[/tex]

[tex]3 \times (x+2) = 5x + 4[/tex]

Open bracket

[tex]3x+6 = 5x + 4[/tex]

Collect like terms

[tex]5x - 3x = 6 -4[/tex]

[tex]2x = 2[/tex]

Divide both sides by 2

[tex]x = 1[/tex]

Read more about parallel sides at:

https://brainly.com/question/1674780

Answer:

4 hours  

Step-by-step explanation:

16/4= 4

Answer:

I think it is 0.51? (I am complety off aren't I/)

Step-by-step explanation:

Answer:

the popularity keeps going up i wount give the euashions though i dont know them.

Step-by-step explanation:

Answer: 7.36

Step-by-step explanation:

avg = (6.72 + 8.40 + 8.40)/3 = 23.52/3 = 7.36

Answer:

D

Step-by-step explanation:

its right on edge

Answer:

D. \sqrt(3)

Step-by-step explanation:

Answer:

Lol that is a word.

The answer is 405 because if you multiply 3 and 135 that would lead you to your answer.

Answer:

it would be helpful if there was a diagram but ill write a proof below of how I would solve a problem. however, it may not be what ur looking for as the question is unclear

1) AB=CD - given

2) BC = BC - reflexive

3) AB+BC=CD+BC- addition property of equality

4)AC= BD - substitution

Answer:

2.667

Step-by-step explanation:

I have learned how to do this. I hope it is right! (;

Answer: 2520 Dice.

Step-by-step explanation:

1. Multiply 35 Dice by 6 Bags (You should get 210)

2. Multiply the amount of dice (210) by 12 Boxes (You should get 2520 Dice)

There ya go!

Any Questions?

Answer:

Step-by-step explanation:

A: W=17b

B: 867

C: 7.28

Answer:135

Step-by-step explanation:45+45=90 90+45=135

Answer:

We need a reference to do this with but i would say 6/16

Step-by-step explanation:

I am a brainly helper

Answer:

First, remember the definition of a vertical contraction/dilation.

If we have a function f(x), and we dilate it with a factor A, such as:

g(x) = A*f(x).

If A is larger than 1, then we are dilating the graph of f(x)

if A is smaller than 1, then we are contracting the graph of f(x).

In this case we have:

f(x) = x + 10 and g(x) = 0.3*f(x) = 0.3*x + 0.3*10 = 0.3*x + 3.

A = 0.3

then we have a contraction.

From this, we can conclude that the effects of this transformation in the graph will be that the graph of g(x) will be a vertical contraction of the graph of f(x).

(Where contracting means that in a given interval [x1, x2] the associated interval [f(x1), f(x2)] will be larger than [g(x1), g(x2)])

Below you can see both graphs, and see the difference between them, where green is f(x) and blue is g(x)

Answer:

x=-8

Have a wonderful day!!!

Answer:

Step-by-step explanation:

-3/8y = -24

-3y = -24 (8)

y = -192 / -3

y = 64

Answer:

369600 feet per hour

Step-by-step explanation:

1m = 5280ft

5280 x 70 = 369600

Answer:

369,600 feet per hour

Step-by-step explanation:

1 mile = 5,280 feet

70 mph (cheetah's speed) x 5,280 feet (feet in 1 mile) = 369,600 feet (cheetah's speed in feet)

Answer:

12x + y = 16

Step-by-step explanation:

Standard Form: Ax + By = C

Step 1: Write point-slope form

y + 4 = -12(x - 1)

Step 2: Find slope-intercept form

y + 4 = -12x + 12

y = -12x + 16

Step 3: Find standard form

12x + y = 16

Answer:

the four to the left of the four in the hundredths place is 1000 place

Step-by-step explanation:

Answer:

I think the best answer for me would be c if thats wrong sry

I hope this helps :)

Answer: 1. E

2. B

3. C

4. F

5. D

6. A

Step-by-step explanation:

Answer:132

Step-by-step explanation:

Answer:

2x-y = 2

Step-by-step explanation:

Answer:

2x-y=2

hope it helps

thank you

Answer:

x

−

4

=

−

8

=

Step-by-step explanation: