A rectangular prism with a volume of 5x + 13x² + 6x cubic units has a base area of x² + 2x square units. Find the height of the rectangular prism.
The height of the prism is units.
(Simplify your answer)

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Each cup of tea costs $10.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let consider X = cups of tea and Y= cup of hot chocolate

Therefore, the system of equation is,

3x + y = 12

x + 2y = 14

Solving;

-2(3x + y = 12)

-6x - 2y = -24

x + 2y = 14

Now, add;

-5x = -10

y = 2

Now substitute;

x + 2y = 14

x + 2(2) = 14

x = 10

Each cup of tea costs $10.

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Answer:

well ik Yearly it would be 93$ and monthly it would be 93$

Step-by-step explanation:

It is important to remember that these scenarios are hypothetical and that future rates of return can't be predicted with certainty and that investments that pay higher rates of return are generally subject to higher risk and volatility. The actual rate of return on investments can vary widely over time, especially for long-term investments. This includes the potential loss of principal on your investment. It is not possible to invest directly in an index and the compounded rate of return noted above does not reflect sales charges and other fees that investment funds and/or investment companies may charge.

Answer:

Mary is 8 and that Zane and Chase are both 4 years old.

Step-by-step explanation:

For this equation, we will say Mary = M, Zane = Z, and Chase = C.

We will now convert the word problem into equations.

[tex]2m = z, 2c - 4 = z, c = 4[/tex]

Now I will solve the equations by putting C into the equation.

[tex]2(4) = 8, 2(4) - 4 = 4, c = 4[/tex]

So we can see that Mary is 8 and that Zane and Chase are both 4 years old.

Answer: Each payment is $171

Step-by-step explanation:

2052 / 12 = 171

Each payment is $171

Answer:

Just do 2052/12 and you will get your answer

=$ 171 for each payment

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

8/3c-2=2/3c-12

first we'll do the LCM of both sides denominator 3 and 3=3

and multiply this with both side

3×8/3c - 2×3= 3×2/3c - 3×12

8c-6= 2c-36

8c-2c=-36+6

6c=-30

c=-30/6

c= -5

Answer:

4t

Step-by-step explanation:

Answer:

A. Based on the data, this is an example of correlation and causation.

Step-by-step explanation:

Got it right on my test, heh.

Hope this helps! (づ｡◕‿‿◕｡)づ

Answer:

A

Step-by-step explanation:

this is because an input can only have one output, but an output can have many input

Answer: $14160

Step-by-step explanation:

Simple interest would be calculated as:

= PRT/100

where,

P = Principal = $12000

R = Rate = 6%

T = Time = 3 years

Simple interest = ($12000 × 6 × 3)/100

= $216000/100

= $2160

The amount that Tobias owe in all would be:

= $12000 + $2160

= $14160

Answer:

Equation is  145 - 45 x = 10.

Billy bought 3 video games.

Step-by-step explanation:

As given,

Total Balance in the gift card = $145

The cost of each video game = $45

After purchasing , Balance in Gift card = $10

Now,

Let Total number of  video games Billy purchase = x

⇒Cost for video game = 45x

Now,

As we know ,

Total Balance - Purchased Item = Balance left

⇒ 145 - 45 x = 10

∴ The equation is 145 - 45 x = 10

Now,

145 - 10 = 45x

⇒135 = 45x

⇒ x = [tex]\frac{135}{45}[/tex] = 3

∴ we get

Billy bought 3 video games

Answer:

its D,

Step-by-step explanation:

1/4 is 25%

then 3/4 is 75%.

so 1/4 (25%) is how much jazz songs he has.

Answer:

J and I

Step-by-step explanation:

anything els?.... let me know

Answer:

-3d + 3 < 18 (subtract 3 from both sides)

-3d < 15 (divide both sides by -3)

d > -5 (this is your answer, when you divide by a negative number in an inequality, the sign flips the other way)

Answer:

yes

Step-by-step explanation:

first term: 5x-5y

common difference: -x/2 + y

The common difference is d = -0.5x + y and the first term is 5x-5y

The nth term of the geometric progression is expressed as:

[tex]T_n=a+(n-1)d[/tex]

where;

The fifth term of the sequence is expressed as:

[tex]T_5=a+4d=3x-y[/tex]

[tex]T_{11}=a+10d=3x-y[/tex]

Take the difference of the terms:

[tex]4d-10d=3x-y-5y\\-6d=3x-6y\\d= -0.5x+y[/tex]

Get the first term:

a = 3x - y - 4(-0.5x+y)

a = 3x - y + 2x - 4y

a = 5x - 5y

Hence the common difference is d = -0.5x + y and the first term is 5x-5y

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Answer:

huh?

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

The pythagorean theorem:

a^2+b^2=c^2

a=8, c=10

8^2+b^2=10^2

64+b^2=100

b^2=100-64

b^2=36

b=6

Answer:

6

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=10^2

64+b^2=100

b^2=36

b= 6

Answer:

21

Step-by-step explanation:

The denominators are 3 and 7 and those are both odd numbers.

You can not get a number lower than 21. Therefore 21 is the LCM (Lowest common denominator.)  

Hope this helps :)

16.43 + 18.64 = 35.07

Hope it helps!

Answer:

9 blue marbles

Step-by-step explanation:

4 : 3 ratio

12 : x

12 / 4 = 3

4 × 3 : 3 × 3

12 : 9

Step-by-step explanation:

it seems the answer is c. 3514 in3

Approximate value of the volume of cylinder is equals to 3514 in³.

"Volume is defined amount of space occupied by any 3 dimensional body. It is useful to represents the capacity of any object ."

Formula used

Area of the base = πr²

Volume of a cylinder = area of the base × height

                                    = πr²h

Value of π = 3.14

According to the question,

Diameter of cylinder = 11 in

Radius (r)  = Diameter / 2

                = 11 / 2

                = 5.5 in

Height (h) = 37 in

Substitute the value in the formula we get,

Volume of cylinder = 3.14 ×(5.5)² × 37

                               = 3514.445 in³

                               ≈ 3514 in³

Hence, approximate value of the volume of cylinder is equals to 3514 in³.

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Answer:

slope: -3/5

y-intercept (0,3)

x    -      y

0          3

5          0

Step-by-step explanation:

I just did it

Answer:

OH HELL NO!

Step-by-step explanation:

Answer:

[tex] m\widehat {AB} = 144\degree [/tex]

[tex]m\widehat {ACB} = 216\degree [/tex]

Step-by-step explanation:

Let the measures of the given arcs be 2x and 3x.

[tex] \because m\widehat {AB} \:\&\: m\widehat {ACB} [/tex] sums up to form a circle.

Therefore,

2x + 3x = 360°

5x = 360°

x = 360°/5

x = 72°

2x = 2*72 = 144°

3x = 3*72° = 216°

[tex] \therefore m\widehat {AB} = 144\degree [/tex]

[tex] \& m\widehat {ACB} = 216\degree [/tex]

Answer:

the correct results would be 6

Given :

Emilie rides her bike x miles before she gets a flat tire.

She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.

To Find :

Which expression shows how many miles Emilie travels in all.

Solution :

We know, total distance covered is given by sum of all the distance she travelled.

Distance covered, D = x + 1/3 + 2 1/2

D = x + 1/3 + 5/2

D = (6x + 2 + 15)/6

D = (6x + 17)/6

Therefore, total distance travelled by Emilie is (6x + 17)/6 .

Answer:

Step-by-step explanation:

n - 66 = -35

n = 31

Answer:

31

Step-by-step explanation:

n-40-26= -35

n= -35+26+40

n= 31

Answer:

The expression that matches the situation is 90.00 - 3x ⇒ 1st answer

Step-by-step explanation:

Let us solve the question

∵ You went to the mall with $90.00

→ That means the total money with you  = $90.00

∴ The total money = 90.00 dollars

∵ You bought three shirts that cost x dollars each

∴ The cost of a shirt = $x

∴ The number of shirts = 3

→ Find the total cost of the three shirts

∴ The cost of the shirts = 3 × x

∴ The cost of the shirts = 3x dollars

∵ The money left = the total money - the cost of the shirts

→ Substitute the value of total money and the cost of the shirts

∴ The amount of money left = 90.00 - 3x

∴ You have left with 90.00 - 3x dollars

∴ The expression matches the situation is 90.00 - 3x dollars

Answer:

Step-by-step explanation:

the perimeter, P

P=sum of all sides

P=x+x+3+2x-5=4x-2

choice D