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Anarel [89]
4 years ago
12

Can someone please help me with this question asap! greatly appreciated!

Mathematics
1 answer:
dedylja [7]4 years ago
8 0

Answer:

1344 ft^2

Step-by-step explanation:

From the picture we can see that 4w = 3l, which means that l = (4/3)w.  Since w = 12 ft, l = (4/3)(12 ft) = 16 ft.  Then the total area of the floor is

(length of floor)(width of floor) = (48 ft)(12 ft + 16 ft) = 1344 ft^2

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Ben was in charge of ordering 3636 pizzas for the office party. He ordered three types of​ pizza: cheese,​ pepperoni, and suprem
shutvik [7]

Answer:

Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas

Step-by-step explanation:

We can solve this problem with a equation system. I will abbreviate the amount of cheese pizzas he buyed as C, the amount of pepperoni ones as P, and the amount of supreme ones as S. I will also remove the $ notation

The system is given as follows

  • C+P+S = 36
  • 8C + 11P + 14S = 390
  • 11P = 2*(8C) = 16C

We can easily replace 11P with 16C in equation 2, obtaining

8C + 16C + 14S = 390

24C + 14S = 390

S = (390- 24C)/14 = 195/7 - 12/7 C

Note that, also from equation 3, we have that

11P = 16 C

P = 16/11 C

Now, we can obtain the value of C using equation 1 replacing S and P with the founded values

C+P+S = 36

C + 16/11 C + 195/7 - 12/7 C = 36

C + 16/11 C - 12/7 C = 36-195/7 = 57/7

Taking C as common factor we obtain

C (1+16/11-12/7) = 57/7

C * 57/77 = 57/7

C = (57/7) / (57/77) = 11

Now, we replace this value in the formula we obtain for P and S

P = 16/11 * C = 16/11 * 11 = 16

S = 195/7 - 12/7 * 11 = 63/7 = 9

Now, we verify:

  • C+P+S = 11+16+9 = 36
  • 8C + 11P + 14S = 8*11 + 11*16 + 14*9 = 88 + 176 + 126 = 390
  • 2(8C) = 2*88 = 176 = 11P

Thus, Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas.

8 0
3 years ago
Simply <br> (4x + 8) + (7x + 3)
gtnhenbr [62]

Answer:

=11x+11

Step-by-step explanation:

Combine Like Terms:

=4x+8+7x+3

=(4x+7x)+(8+3)

=11x+11

6 0
3 years ago
25% of what number is 35? <br> A. 8.75<br> B. 7.1<br> C. 14<br> D. 140
yan [13]

Answer:

D) 140

Step-by-step explanation:

If you are using a calculator, simply enter 35 × 100 ÷ 25, which will give you the answer.

6 0
3 years ago
An expression is shown below: 3(9a+6b)−(5a+2b) Part A: Simplify the expression shown above. Part B: If a represents apples that
Hoochie [10]

Answer: part a : 3(14a-8b)      

Step-by-step explanation: part a : you add 9a and 5 a since they have the same varible  then you add 6b and 2b to get 8b which gets you your first answer of 3(14a-8b)

8 0
3 years ago
Y = f(x) = -3^x<br> Find fx) when x = 0.
Vanyuwa [196]

Answer: 1

Step-by-step explanation:

substitute x with 0 in the polynomial so we get,

-3^x

= -3^0

= 1 ( because any number raised to 0 is 1)

Hope it helps:)

3 0
4 years ago
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