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Ksju [112]
2 years ago
15

The answer to this question

Mathematics
1 answer:
steposvetlana [31]2 years ago
3 0

Answer: c

Step-by-step explanation:

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What are the possible polynomial expression for dimensions of the cuboid whose volume is 12y2 + 8y -20
bogdanovich [222]

Answer:

The answer is below

Step-by-step explanation:

The volume of a cuboid is the product of its length, height and breadth. It is given by:

Volume = length × breadth × height

Since the volume is given by the expression 12y² + 8y - 20. That is:

Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]

Volume = 4(y-1)(3y+5)

Or

Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]

Volume = 2(y-1)(6y+10)

Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10

3 0
3 years ago
Read 2 more answers
Traveling with a speed of 70 mph, a car covered a distance D miles in T hours. Write an equation that relates the distance D thi
irina [24]

Answer:

Part A) D=70T

Part B) D=105\ miles

Step-by-step explanation:

Par A) Write an equation that relates the distance D this car travels in T hours

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

The speed is a proportional relationship between the distance and the time

Let

D ----> the distance in miles

T ----> the time in hours

so

D=kT

In this problem the constant of proportionality k represent the speed of the car in miles per hour

we have

k=70\ mi/h

substitute

D=70T

Part B) Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m

we know that

The time between 3:30 p.m. and 5:00 p.m is equal to

5:00 p.m-3:30 p.m=1.5 hours

so

For T=1.5 h

substitute in the equation and solve for D

D=70(1.5)

D=105\ miles

7 0
3 years ago
Rational number as decimal 8/9
mario62 [17]
0.88888 hope this helped
8 0
3 years ago
How many notebooks do you think it would take to make a stack that is 5 feet high?​
aev [14]

Answer:

There are total 30 books in the 5 feet high stack of books.

Step-by-step explanation:

The complete question is

Given, Each note book is 2 inches thick, How many notebooks do you think it would take to make a stack that is 5 feet high

Solution

Thickness of each book = \frac{2}{12}  = \frac{1}{6}

The total height of the book stack is 5 feet.

The number of books in the stack is equal to total height of the stack divided by the thickness of one book

Number of books in five feet high stack is

\frac{5}{\frac{1}{6} } \\5 * \frac{6}{1} \\30

Hence, there are total 30 books in the 5 feet high stack of books.

4 0
3 years ago
How many 1/3s do you need to make 3/4
marin [14]

Answer:

2.25

Because I was asked this question and got it righg

5 0
2 years ago
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