The area of a gymnasium is (27x + 18) square units. Factor
27x + 18 to find possible dimensions of the gymnasium.

Answers

Answer 1

Answer:

9 by (3x + 2) units

Step-by-step explanation:

Note that 9 is a factor of both 27x and 18.  Therefore,

27x + 18 factors into 9(3x + 2).

Possible dimensions of the gym are 9 by (3x + 2) units.


Related Questions

Part C: If HI = 7, find KL. Show your work.

Answers

Answer:

KL= 14

Step-by-step explanation:

4*2=8

5*2=10

7*2=14

Anson's toy rocket is shown. What is the volume of the rocket? Round to the nearest tenth if necessary.

Answers

Answer:

The answer is below

Step-by-step explanation:

The rocket is made up of square pyramid and a rectangular prism. Hence the volume of the rocket is the sum of the volume of the square pyramid and the volume of the rectangular prism.

Volume of square pyramid = a²h/3

a = base length = 1.1 in, h = height of pyramid = 2.1 in

Volume of square pyramid = a²h/3 = 1.1² * 2.1/3 = 0.847 in³

Volume of rectangular prism = length * breadth * height = 1.1 * 1.1 * 8.2 = 9.922 in³

Volume of rocket = volume of prism + volume of pyramid = 0.847 + 9.922 = 10.769 in³

Coverage for injury and property damage sustained by others for which you or covered residents of your household are legally responsible is known as a(n) _____.

Answers

Answer:

Liability insurance

Step-by-step explanation:

Liability insurance provides protection against claims resulting from injuries and damage to people and/or property. Liability insurance covers legal costs and payouts for which the insured party would be found liable. Provisions not covered include Intentional damage, contractual liabilities, and criminal prosecution.

7m+9, for m=2.
What's the value of this equation

Answers

Answer:

replace m with 2 and do 7(2)+9

Elena has a large container with a capacity of 96 fluid ounces of lemonade. How many cups of lemonade can she fill?

Answers

Answer:

12 cups

Step-by-step explanation:

Can someone plzzz helppp meeee( don’t say click this link)

Answers

Answer:

22

Step-by-step explanation:

You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.

So...

0=31 divided by 22

0

22 remainder

0=22

22 is the arc's central angle.

:D

Complete the work shown to answer the question.

p2 – 14p – 72 = 0

p2 – 14p = 72

p2 – 14p + 49 = 72 + 49

Which describes the solutions of the equation?

Since 7 and 11 are both rational, the sum and difference are rational.
Since 14 and 11 are both rational, the sum and difference are rational.
Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
its a btw

Answers

The option that describes the solutions of the equation is A. Since 7 and 11 are both rational, the sum and difference are rational.

How to explain the equation?

An equation simply means a statement that the values of two mathematical expressions are equal.

In this case, the solutions of the equation is that since 7 and 11 are both rational, the sum and difference are rational.

Learn more about equations on:

https://brainly.com/question/297232

i'll pay someone to do my math <3

Answers

I would like to be paid, then xD

Mary has a rectangular garden that she needs to buy soil for. The length of the garden can be represented by 5x-1, and the width x^2+4. What expression represents the area of the garden so that she knows how much soil to purchase? plsss helppp!!!!!!!!!!!!!

Answers

Answer:

A = (5x - 1) (x^2 + 4)

Step-by-step explanation:

Area = length × width

= (5x - 1) (x^2 + 4)

STEP BY STEP EQUATION PLZ!

Mitch and Tom are playing a video game. Mitch has eight less than triple the points that Tom has. If Mitch has 79 points, how many points does Tom have?

Answers

Answer: 23 2/3 points

Step-by-step explanation:

First, we can set up an equation where Mitch's points are equal to m and Tom's are equal to t.

We can say that 79=3t-8. Next, we can subtract 8 on each side to get 71=3t. Then, we can divide by 3 to get that Tom has 23 2/3 points.

Johnny starts run at the 2 mile mark and runs 4 miles per hour. Javier starts at the 6 mile mark and runs 2 miles per hour. How long until Johnny catches up with Javier?

Answers

Answer:

2 hours

Step-by-step explanation:

What is the Range of the function

Answers

Answer: Pretty sure its A.  

Step-by-step explanation:

Make a the subject of the formula v=u+at

Answers

Answer:

a = (v - u)/t.

Step-by-step explanation:

v = u + at

v - u = at

(v - u)/t = a.

can someone help me simplify this?​

Answers

Answer:

sinB

Step-by-step explanation:

Using trigonometric sum/difference rule -

we can expand the expression to

= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA

= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB

= cos^2(A)sinB + sin^2(A)sinB

= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)

= (1 * sinB)

= sinB

Uma volta inteira na Terra corresponde a uma distância 2πr≅40.000 km. Se um satélite leva 85 minutos para dar uma volta completa ao redor da Terra, qual a sua velocidade média em m/s (metros por segundo)

Answers

Answer:

7.8. 10 ^ 3 m / s

Step-by-step explanation:

The computation of the average speed in m/s is shown below:

The average speed equation is

= ΔS ÷ Δt;

As We know that

an entire revolution would be40,000 km

and a satellite takes 85 minutes to complete a revolution,  

So,

ΔS = 40,000 km = 40,000,000 m

Δt = 85 min = 5 100 s

Now the average speed is

= 40 000 000 ÷ 5 ÷ 5 100

 = 7843.14 m / s

= 7.8. 10 ^ 3 m / s

William bought a new storage box to hold all of her fishing supplies. His box measures 13 1/7 inches long, 7 2/5 inches wide, and 4 3/4 inches tall.

Answers

Answer:

461.97 in³

Step-by-step explanation:

Given the following measurement for the dimension of a box : 13 1/7 inches long, 7 2/5 inches wide, and 4 3/4 inches tall.

The volume of a box is calculated using the relation :

Volume = Length * width * height

Volume = 13 1/7 * 7 2/5 * 4 3/4

Volume = 92/7 * 37/5 * 19/4

Volume = (92*37*19) / (7*5*4)

Volume = 64676 / 140

Volume = 461.97 in³

Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.

A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers.

8 squared + 12 squared = d squared. 64 + 24 = d squared. 88 = d squared. StartRoot 88 EndRoot = d. 9.4 almost-equals d.
She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance.
She did not square the 12 in the problem. She should have used 12 squared = 144.
She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
She should not have taken the square root of each side when solving. She should have just divided each side by 2.
She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.

Answers

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Answer:

a and b

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{35 \times 35} [/tex]

Answers

35 is the answer to the question

Write the 1st, 2nd, 3rdand 18thterms for: A) Un= n2 + 4 B) Un = 6n + 5

Answers

Answer:

(a) [tex]U_1 =5[/tex]; [tex]U_2 = 8[/tex]; [tex]U_{18} = 328[/tex]

(b) [tex]U_1 = 11[/tex]; [tex]U_2 =17[/tex]; [tex]U_{18} = 113[/tex]

Step-by-step explanation:

Required

1st, 2nd and 18th terms

To do this, we simply substitute 1, 2 or 18 for n in the given equations

Solving (a):

[tex]U_n =n^2 + 4[/tex]

1st term: n = 1

[tex]U_1 =1^2 + 4[/tex]

[tex]U_1 =1 + 4[/tex]

[tex]U_1 =5[/tex]

2nd term: n = 2

[tex]U_2 = 2^2 + 4[/tex]

[tex]U_2 = 4 + 4[/tex]

[tex]U_2 = 8[/tex]

18th term: n = 18

[tex]U_{18} = 18^2 + 4[/tex]

[tex]U_{18} = 324 + 4[/tex]

[tex]U_{18} = 328[/tex]

Solving (b):

[tex]U_n = 6n + 5[/tex]

1st term: n = 1

[tex]U_1 = 6*1 + 5[/tex]

[tex]U_1 = 6 + 5[/tex]

[tex]U_1 = 11[/tex]

2nd term: n = 2

[tex]U_2 = 6*2 + 5[/tex]

[tex]U_2 =12 + 5[/tex]

[tex]U_2 =17[/tex]

18th term: n = 18

[tex]U_{18} = 6*18 + 5[/tex]

[tex]U_{18} = 108 + 5[/tex]

[tex]U_{18} = 113[/tex]

Which expressions are equivalent to 7x - 14? Check all that apply.
□ 14 - 7x
□x-2
□-(14 - 7x)
□ 7(x-2)
□ 3x - 14 + 4x
□ 2x - 10 + 5x + 4​

Answers

Answer:

-(14 - 7x)

7(x- 2)

3x - 14 + 4x

these are correct

hii please help i’ll give brainliest

Answers

Answer:

B) 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Find the unit rate please

Answers

Answer:

1 --> 26

5 --> 130

11 --> 286

24 --> 624

40 --> 1040

Step-by-step explanation:

to find unit rate divide 78 by 3 and you get 26 gallons, which means you can drive 26 miles with one gallon.

To find the amount of gallon for a certian number of miles, simply divide the number of miles by 26. Ex. 130/26 = 5 gallons

Answer:

Step-by-step explanation:

Natalie invests $6,000 into a brokerage account which earns 5% per year. In 10 years, how much will Natalie's investment be worth if interest is compounded continuously? Round to the nearest dollar.

Answers

Answer:

63076.27

Step-by-step explanation:

I need help in mathematics

Answers

Answer:

B. 75.36 cubic cm

Step-by-step explanation:

We will use the formula V=π times r² times h

so, V= 3.14 times 2² times 6

so, V= 3.14 times 4 times 6

= 3.14 times 24

=75.36 cubic cm

Please mark me as brainliest

(2/9v)−(−1/3v+5/9) simplified

Answers

Answer: (5/9)(v – 1)

Hope this helps!

last math question for today!!!!​

Answers

Answer: Maybe search it up?...I cant rlly see what the question says

Step-by-step explanation:

A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. Write an equation to represent the exponential A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. Write an equation to represent the exponential growth of the population.

Answers

Answer:

FV= 200*(1.07^n)

Step-by-step explanation:

Current population= 200 deer

Growth rate= 7% per year

To calculate the future value of deer in any given years, we need to use the following formula:

FV= PV*(1+g)^n

FV= future value

PV= present value

g= growth rate

n= number of years

FV= 200*(1.07^n)

For example, the population in 5 years:

FV= 200*(1.07^5)

FV= 281

Please help I need this ASAP!

Answers

Answer:

41 1/5

Step-by-step explanation:

2 3/5 x 7 = 18 1/5

5 3/4 x 4 = 23

18 1/5 + 23 = 41 1/5

your answer is 8 7/20 or 167/20 . hope this helps please mark brainliest

please help me i need it fast

Answers

Answer:

20x^3/4x7

20/4x^4

5/x^4

Step-by-step explanation:

Please resolve this is for today

Answers

Answer:

A Square plus B square equals

Step-by-step explanation:

T

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