Jeffrey has an aquarium in the shape of a rectangular prism. He is going to place a layer of sand over the base for his iguana. The area of the base of the aquarium can be represented by the expression (42x3−14x2+21x) feet3. If the width of the aquarium is represented by the expression (7x) feet, what is the length of the aquarium?

[tex]\huge\boxed{\bf{Hi\:there!}}[/tex]

All we have to do to simplify this expression is multiply 8 by 12 and a:

8(12+a)

96+8a

That's our final answer.

[tex]\huge\boxed{\bold{Hope\:it\:helps!\:Good\:luck!}}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

The distributive property is defined as:

a x (b + c) = a x b + a x c

a x (b - c) = a x b - a x c

The final value of the expression 8 x (12 + a) after simplification using the distributive property is 96 + 8a.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

8(12 + a)

We will apply the distributive property.

The distributive property is defined as:

a x (b + c) = a x b + a x c

a x (b - c) = a x b - a x c

Now,

8 x (12 + a ) is in the form of a x (b + c)

So,

8 x (12 + a)

= 8 x 12 + 8 x a

= 96 + 8a

Thus,

The final value of the expression 8 x (12 + a) after simplification using the distributive property is 96 + 8a.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

111

Step-by-step explanation:

Answer:

x3−8x2+19x−12 = (x−1)(x−3)(x−4)

Step-by-step explanation:

Welcome =D

Answer:

21.6

Step-by-step explanation:

you divide 129.60 by 6 and you get 21.6.

Answer:

72-18b

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The answer is 6 b/c 1 . -1 =  -1 and then you do 5- -1 and that is 6 soooooooooo

yeah :3

Answer:

Step-by-step explanation:

Simplifying

25m + 22 = 9m

Reorder the terms:

22 + 25m = 9m

Solving

22 + 25m = 9m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-9m' to each side of the equation.

22 + 25m + -9m = 9m + -9m

Combine like terms: 25m + -9m = 16m

22 + 16m = 9m + -9m

Combine like terms: 9m + -9m = 0

22 + 16m = 0

Add '-22' to each side of the equation.

22 + -22 + 16m = 0 + -22

Combine like terms: 22 + -22 = 0

0 + 16m = 0 + -22

16m = 0 + -22

Combine like terms: 0 + -22 = -22

16m = -22

Divide each side by '16'.

m = -1.375

Simplifying

m = -1.375

Answer:

200039393943

Step-by-step explanation:

Use a calculator (;

Answer:

y= 3x-2

Step-by-step explanation:

standard form

y= mx + c

 c represents y intercept

m represents slope or gradient

y= 3x-2

The slope is 3 and the y intercept in -2

Answer:

why do you need do give almost ALL your points when people and your one only question???????????

Answer:

No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8

Step-by-step explanation:

Answer:

1. x = 15; acute

2. x = 120; obtuse

3. x = 41; right

4. x = 104; obtuse

5. x = 25; right

6. x = 64; acute

7. x = 72; acute

8. x = 32; obtuse

9. x = 40; right

Answer:

-36

Step-by-step explanation:

How are you in college lol

Answer:

Multiply  

4  by  − 9 .

− 36

Step-by-step explanation:

Souljem

Step-by-step explanation:

souljem yes yes yes

Answer:

$1.4 B per year

Step-by-step explanation:

Answer:

5 / 1750 = 2 / x

5x = 3,500

x = 700

Step-by-step explanation:

Every two servings she eats, she eats 700 calories

Answer:

6

Step-by-step explanation:

-15+6 means it goes minus basically its 15-6(-15+6)=-9

Answer:

n=24

Step-by-step explanation:

First add 15 to the right side equaling 24. Therefore n=24

Answer:

[tex]Stickers = s - ![/tex]

Step-by-step explanation:

Analysing the question, line by line.

Let the number of stickers be s/

So:

[tex]Stickers = s[/tex]

He used 5 of them

[tex]Stickers = s - 5[/tex]

He bought 4 more

[tex]Stickers = s - 5 + 4[/tex]

[tex]Stickers = s - ![/tex]

Answer:

Step-by-step explanation:

Slope intercept form of a line is

y=mx+b, where m=slope and b=y intercept

m=(y2-y1)/(x2-x1) I chose points (0,3) and (4,4) from graph so

m=(4-3)/(4-0)=1/4 so now the line is

y=x/4+b, using point (4,4) we can solve for b

4=4/4+b

4=1+b

b=3 so the line is

y=x/4+3 or more neatly

y=(x+12)/4

Answer:

x=5

Step-by-step explanation:

the equation in 4 + 6.5x  <36.5, subtract 4 from 4 and from 36.5, this will get you 6.5x < 32.5, next divide 6.5x by 6.5 and do the same with 36.5 this will get you 5.61538461538, but you can simplify this to 5

Brainliest would be appreciated

Answer:

Give the other person brain thingy :)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3

Answer:

move the bottom of the green triangle back to -4

Answer:

63

Step-by-step explanation:

[tex]15m^{2}[/tex]

Hope this helps!! plz mark brainliest??

Answer:

x = 1.00872652

Step-by-step explanation:

sinx= opposite/hypotenuse

sinx= 11/13

x = 1.00872652

Hope this helps:)

Answer:

x = 1.00872652

:D

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

im almost possitive that that is right

Answer:

C. 27 [tex]cm^{2}[/tex]

Step-by-step explanation:

For this problem find the area for the three individual segment then add them together.

Step 1: Find area of the rectangle

formula for area of a rectangle: bxh

b-base

h-height

3x6=18

Step #2: Find area of the triangle

Formula for area of a triangle:[tex]\frac{1}{2} bxh[/tex]

b-base

h-height

[tex]\frac{1}{2} (3x3)[/tex]=1/2(9)=4.5

Step #3: Find the area of the triangles total

Because the two triangles have the same area you can just multiply the area of one of the triangles by 2

4.5x2=9

Step #4: Add all the areas together

rectangle+2 triangles

18+9=27

Answer:

D

Step-by-step explanation:

P=6 and Q=2

-3(6/2)=-9

3(-6/2)=-9

3*6/-2=-9

-6/-3*2=1

Given, To make a strawberry shortcake for one person, we need :

▪︎[tex] \frac{1}{3} [/tex] cup of strawberry

▪︎one shortbread biscuit

Quantity of strawberries Elisa has = 3 cups

Number of shortbread biscuits she has = 12

Number of shortcakes she can make :

[tex] = \tt3 \div \frac{1}{3} [/tex]

[tex] = \tt\frac{3 \times 3}{1} [/tex]

[tex]\color{plum} =\tt 9 \: people[/tex]

Thus, Elisa can serve strawberry shortcakes to 9 people.

With 12 dozen shortbread biscuits she can serve 12 people.

Quantity of strawberries needed to serve 12 people :

[tex] =\tt \frac{1}{3} \times 12[/tex]

[tex] =\tt \frac{12}{3} [/tex]

[tex]\color{plum} = \tt4 \: cups[/tex]

▪︎Elisa can serve strawberry shortcakes to 9 people.

▪︎Elisa will need 4 cups of strawberries if she wants to use all dozen shortbread biscuits.

Answer:

59.6

Step-by-step explanation: DeltaMath

Answer: 59.6

Step-by-step explanation:

Answer: (h + b) ÷ 5

Step-by-step explanation:

First add h + b (h +b)

Then divide by 5. (h + b) ÷ 5