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andriy [413]
3 years ago
12

Calvin work as an air conditioning contractor the customer wants to buy an air condition for his family room his room measure 30

feet by 16 feet his wall are 8 ft high to determine how large a unit to buy he must calculate the volume of the room how many cubic feet of air are in the room
Mathematics
1 answer:
Verdich [7]3 years ago
6 0
ANSWER

3840 {ft}^{3}

EXPLANATION

The room represents a rectangular prism or a cuboid.

The dimensions of the room are 30 feet by 16 feet by 8 feet(height).

The volume of a rectangular prism is

= base \: area \: \times \: height

Substitute the given values

= 30 \times 16 \times 8 {ft}^{3}

Simplify:

= 3840 {ft}^{3}

Hence the cubic feet of air in the room is 3,840ft³.
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Two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled is either 7 or 11?
Llana [10]
There is 36 ways the dice come up, 6 for each dice. thats 8/36 or 2/9. :)

8 0
3 years ago
Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cup
Anton [14]

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

\frac{2}{3} x

Strawberry =

\frac{1}{4}  \times  \frac{1}{3}  \\  =  \frac{1}{12} x

Vanilla =

x -  \frac{2}{3} x -  \frac{1}{12}x \\  =  \frac{1}{3} x -  \frac{1}{12} x \\   =  \frac{1}{4} x

given

\frac{1}{4} x = 90

x = 90 \div  \frac{1}{4}  \\  = 90 \times 4 \\  = 360

a)Number of Chocolate chip Cupcakes =

\frac{2}{3}  \times 360 \\  = 240

b)Number of Strawberry cupcakes =

\frac{1}{12}  \times 360 \\  = 30

8 0
3 years ago
I need help with math here the photos
arsen [322]

Answer:

9-49

a=  2r+ 7

b= 2.5x + 16

c= 3r-2x-8.8

Step-by-step explanation:

4 0
3 years ago
Convert to the product of multiplication<br>a^2-b^2-4b-4
kirill [66]

a^2-b^2-4b-4 in form of multiplication is  (a-b)(a+b)-4(b+1) .

<u>Step-by-step explanation:</u>

We know that factors are the numbers that are being multiplied together . As 6532*7 = 45724 .Here 6532 & 7 are the factors and 45724 is product of the factors .

Here , we need to convert to the product of multiplication

a^2-b^2-4b-4 or , a^2-b^2-4b-4 :

⇒  a^2-b^2-4b-4

We know by identity that , p^2-q^2 = (p-q)(p+q)

⇒  (a-b)(a+b)-4b-4

Taking common term out as -4 :

⇒  (a-b)(a+b)-4(b+1)

Therefore  , a^2-b^2-4b-4 in form of multiplication is  (a-b)(a+b)-4(b+1) .

7 0
3 years ago
a mechanical engineer designs a robotic rm to be used in an assembly line. one portion of the arm is 5/12 yard long, and the len
Amanda [17]

Answer:

  8/12 yard or 2/3 yard

Step-by-step explanation:

The sum of the two lengths is ...

  5/12 yd + 3/12 yd = (5+3)/12 yd = 8/12 yd

This fraction can be reduced by removing a factor of 4 from numerator and denominator.

  8/12 yd = 2/3 yd

If the arm portions are end-to-end, the total length is 2/3 yard.

4 0
3 years ago
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