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MAXImum [283]
3 years ago
9

Tara and Veronica are in charge of making a banner for the volleyball game this Saturday.How much poster paper will they need fo

r a parallelogram-shaped banner with a height 3 1/2 and base 6 1/4?
Mathematics
1 answer:
lesantik [10]3 years ago
7 0
The answer is 21 7/8.

The quantity of the paper needed is the area of parallelogram with a height 3 1/2 and base 6 1/4. The area of a parallelogram (A) is the product of its height (h) and base (b):
A = h * b

We have:
h = 3 \frac{1}{2} = 3 + \frac{1}{2} = \frac{3}{1} +\frac{1}{2}= \frac{3*2}{1*2}+\frac{1}{2}=\frac{6}{2}+\frac{1}{2}=\frac{7}{2} \\ \\ b = 6 \frac{1}{4} = 6 + \frac{1}{4} = \frac{6}{1} +\frac{1}{4}= \frac{6*4}{1*4}+\frac{1}{4}=\frac{24}{4}+\frac{1}{4}=\frac{25}{4}


Thus, the area of paralleogram is:
A = b * h =  \frac{7}{2} *  \frac{25}{4} =  \frac{7*25}{2*4} =  \frac{175}{8} =  \frac{168+7}{8} = \frac{168}{8} + \frac{7}{8} = 21+ \frac{7}{8}=21\frac{7}{8}
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Evaluate the following expression when x = 8<br><br> 3(x) + 7
Vikki [24]

Answer: 31

Step-by-step explanation: if x = 8 it would look like this

3(8) + 7

\/      \/

24 + 7

   \/

  31

7 0
3 years ago
Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This wou
aniked [119]

Answer:

Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k

Step-by-step explanation:

Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k

5 0
3 years ago
Marissa claims that stacking 6 blocks with dimensions of One-half times 1 times 1 will give the same volume as stacking 9 blocks
quester [9]

Answer:

  • (A)Six of the one-half cubes would have a volume of 3 cubic units.
  • (D)Three of the one-third cubes will make 1 unit cube.
  • (E)Two of the one-half cubes will make 1 unit cube.
  • (F)Both stacks will have a volume of 3 cubic units.

Step-by-step explanation:

Marissa claims that stacking 6 blocks with dimensions of \frac{1}{2}X1X1  will give the same volume as stacking 9 blocks with dimensions of \frac{1}{3}X1X1  .

First, let us examine the volume of each of the blocks.

<u>For Block 1</u>

The dimensions are:   \frac{1}{2}X1X1

Volume of 1 block =  \frac{1}{2}X1X1= \frac{1}{2} $ cubic units

Volume of 6 blocks of dimension   =6* \frac{1}{2} =3$ cubic units

<u>For Block 2 </u>

The dimensions are:   \frac{1}{3}X1X1

Volume of 1 block =  \frac{1}{3}X1X1=\frac{1}{3} $ cubic units

Volume of 9 blocks of dimension =9*\frac{1}{3} =3$ cubic units  

The following statements out of Marissa's claim are true:

(A)Six of the one-half cubes would have a volume of 3 cubic units.

(D)Three of the one-third cubes will make 1 unit cube.

 3*\frac{1}{3} =1$ cubic units

(E)Two of the one-half cubes will make 1 unit cube.

 2*\frac{1}{2} =1$ cubic units

(F)Both stacks will have a volume of 3 cubic units.

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marshall27 [118]
Maybe you can do 8 divided by 2 would equal 4 or you can do equations that equal 8.
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4 years ago
Last Friday David rented 4 movies from the video store. This Friday he rented 2 movies. Let x represent the cost of renting each
klasskru [66]

Answer:

2x

Step-by-step explanation:

He rented 4 last week and 2 this week. He rented 2 more last week than he did this week. X stands for the cost of a rented movie. 2x. Boom roasted. (could be wrong)

8 0
3 years ago
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