1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
3 years ago
6

Which group of expressions could represent the dimensions of a rectangular prism with a volume of 2y3 + 15y2 + 28y?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

C. y, y + 2, 2y + 14

Step-by-step explanation:

Given

Volume = 2y^3 + 15y^2 + 28y

Required

Determine which set of dimensions is applicable

The volume of a rectangular prism is calculated as:

Volume = Length * Width * Height

So, to solve this question, we have to test each options using the above formula

A. y, y + 4 and 2y + 7

Volume = y * (y + 4) * (2y + 7)

Open brackets

Volume = y * (y * 2y+ 4* 2y + y * y+ 4* 7)

Volume = y(2y^2+ 8y + y^2+ 28)

Volume = 2y^3+ 8y^2 + y^3+ 28y

Collect Like Terms

Volume = 2y^3 + y^3+ 8y^2+ 28y

Volume = 3y^3+ 8y^2+ 28y

B. y, y + 7, 2y + 4

Volume = y * (y + 7) * (2y + 4)

Open brackets

Volume = y * (y * (2y + 4)+ 7* (2y + 4))

Volume = y * (2y^2 + 4y+ 14y + 28)

Volume = y * (2y^2 + 18y+ 28)

Volume = 2y^3 + 18y^2+ 28y

C. y, y + 2, 2y + 14

Volume = y * (y + 2) * (2y + 14)

Open brackets

Volume = y * (y* (2y + 14) + 2* (2y + 14))

Volume = y * (2y^2 + 14y + 4y + 28)

Volume = y * (2y^2 + 18y + 28)

Volume = 2y^3 + 18y^2 + 28y

<em>There's no need to check the last option because option c answers the question.</em>

<em>Hence, the dimension is y, y + 2, 2y + 14 </em>

You might be interested in
Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before the tip? En
IrinaVladis [17]

Answer: $20.5

Step-by-step explanation:

Let x  denotes the amount for total bill.

We are given that ,  Sierra left $4.50 as a tip for a waiter.

This was 18% of the bill before the tip.

We can write 18% = 0.18. [To convert percent into decimal we divide it by 100.]

Then, the tip amount = 0.18 x Total bill

\Rightarrow\ 4.5=0.18x\\\\\Rightarrow\ x=\dfrac{4.5}{0.18}=25

So, the total bill amount = $25

Hence, her total bill before the tip= Total bill amount - Tip amount

= $25- $4.50=$20.5

Thus ,her total bill before the tip= $20.5

6 0
3 years ago
Which is bigger 40% of 120 or 1/4 of 200
Anvisha [2.4K]
40% of 120 is 48 1/4 of 200 is 50 1/4 of 200 is bigger.
3 0
3 years ago
Which strategy would not correctly solve this story problem? Ms. Bailey's cat had 10 kittens. There were 5 white kittens, 3 blac
stellarik [79]
D would not correctly solve the problem it is adding more kittens instead of eliminating the ones already known
5 0
3 years ago
What multiplies to 5 and adds to 6
melisa1 [442]
5 and 1 multiply to 5 and add to 6
4 0
3 years ago
Can someone help me with these? ​
kati45 [8]

Answer:

no they're not congruent angle side side No,no son congruents angle side side

6 0
3 years ago
Other questions:
  • The area of the right triangle shown is 24 square feet.
    6·2 answers
  • Rex's puppy is 5 years younger than his other dog. If the other dog is x years old, what is an expression for the puppy's age?
    13·2 answers
  • 3x-8=25 solve for x
    10·2 answers
  • Simplify (2x + 3)(x – 4) = ?
    11·1 answer
  • It's in the picture....................​
    12·1 answer
  • $84.12 for 12 lbs of chocolate ; $35.05 for p lbs of chocolate
    10·1 answer
  • What does the slope of the graph show about Emma's typing speed?
    9·1 answer
  • Answer the question above
    8·1 answer
  • Writing an Equation in Slope-Intercept Form
    7·1 answer
  • 2 320 is invested for two years
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!