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klasskru [66]
3 years ago
11

A layered birthday cake has two rectangular prism layers. The base layer measures 12 inches by 10 inches.The second layer is thr

ee inches smaller in width and length as the previous layer. Both of the layers are 4 inches taller. What is the volume of the cake?
Mathematics
1 answer:
Marta_Voda [28]3 years ago
4 0

Answer:

The answer to your question is 732 in³

Step-by-step explanation:

Data

Rectangular prism layers

Base layer = 12 in x 10 in x 4 in

Second layer = 3 in smaller x 4 in

Volume = ?

Formula

Total volume = Volume of the base layer + Volume of the second layer

Total volume = length 1 x width 1 x height +  length 2 x width 2 x height

Substitution

Total volume = 12 x 10 x 4 + (12 - 3)(10 - 3)(4)

Simplification

Total volume = 480 + (9)(7)(4)

Total volume = 480 + 252

Result

Total volume = 732 in³

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Carlos is arranging books on shelves. He has 56 novels and 16 autobiographies. Each shelf will have the
labwork [276]

Answer:

72

Step-by-step explanation:

it would be 72 because your adding 56+16 and that equals 72 numbers he will use

8 0
3 years ago
Factor completely, then place the answer in the proper location on the grid. <br> 6х^2 - 3х - 30
Tems11 [23]

Answer:

3(x + 2)(2x - 5)

Step-by-step explanation:

Given

6x² - 3x - 30 ← factor out 3 from each term

= 3(2x² - x - 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 10 = - 20 and sum = - 1

The factors are + 4 and - 5

Use these factors to split the x- term

2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 5), thus

2x² - x - 10 = (x + 2)(2x - 5) and

6x² - 3x - 30

= 3(x + 2)(2x - 5) ← in factored form

7 0
3 years ago
Jennifer and carmen have the same amount of money to spend on carnival tickets Jennifer buys 4 tickets and has 8.40 left carmen
Sliva [168]
Do the following:

$8.40-$7.15=$1.25
Then divide 1.25 by the difference of tickets which is 3
1.25/3=0.42 (that's rounded to nearest cent)

3 0
3 years ago
There are 10 boys and 12 girls in the tennis club. The coach wants to select two players to practice first. Which statements are
Sidana [21]
Since there are 22 participants all in all. The possible combinations of the two picked for practice first is, 
                               22C2 = 231
The probability of picking one from each gender will be solved through the calculation below.
                              (10C1)x(12C1) / 231 = 40/77
In percentage, the answer would be approximately 52%. Thus, the answer is the first choice. 
6 0
3 years ago
Read 2 more answers
Please help.........
faust18 [17]
The answer for PA is 60/13. This is found by
The area of the rectangle is 60, therefore, the big triangle areas are 30 each. We know that the hypotenuse is 13, so therefore, we get
1/2(13*PA) = 30. This then simplifies to 
13 * PA = 60, which then turns into 
PA = 60/13.

Hope this helps and have a nice day:)
5 0
3 years ago
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