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HACTEHA [7]
1 year ago
11

Rafael took 4 pumpkin pies to a family gathering.If he divides each pie into six equal-size slices,haw many slices can he serve

Mathematics
1 answer:
Dvinal [7]1 year ago
8 0

 4 ÷ \frac{1}{6}

= 4 * \frac{6}{1}

= 24

Answer: 24 slices

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The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s
liraira [26]

Answer:

<u>The drama club ordered 150 short-sleeved shirts and 100 long-sleeved shirts</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

5x + 10y = 1,750

1/3x + 1/2y = 100

x = number of short-sleeved shirts ordered

y = number of long-sleeved shirts ordered

Resolving the 1st equation:

5x + 10y = 1,750

5x = 1,750 - 10y

x = 350 - 2y (Dividing by 5 at both sides)

Resolving  the 2nd equation:

1/3x + 1/2y = 100

1/3 (350 - 2y) + 1/2y = 100

350/3 -2y/3 + 1/2y = 100

700 - 4y + 3y = 600 (Lowest common denominator = 6)

-y = 600 - 700 (Subtracting 700 at both sides)

<u>y = 100</u> (Dividing by - 1)

Finding the value of x in the 1st equation:

5x + 10 (100) = 1,750

5x + 1,000 = 1,750

5x = 1,750 - 1,000 (Subtracting 1,000 at both sides)

5x = 750

<u>x = 150</u> (Dividing by 5)

2. Proving that x = 150 and y = 100 are correct

1/3x + 1/2y = 100

1/3 * 150 + 1/2 * 100 = 100

150/3 + 100/2 = 100

50 + 50 = 100

100 = 100

<u>We proved that x = 150 and y = 100 are correct</u>

6 0
2 years ago
Ava had $28.50 to spend at the farmer's market. After buying 3 pumpkins Ava, has $12 left. Which equation could you use to find
Alona [7]

Answer:

Step-by-step explanation:

Ava had $28.50 to spend at the farmer's market. She bought three pumpkins from the $28.50 that she had to spend.

After buying the three pumpkins, she had $12 left. This means that the amount that she spent on the pumpkin would be the total amount she had to spend - the amount she had left. This becomes

28.50 -12 = $16.5

This means that the cost pet pumpkin would be total amount that she spent on pumpkin / the number of pumpkin that she bought. It becomes

The equation that will be used to find the price of pumpkin,P would be

P = cost of n pumpkins /number of pumpkins

Where n is the number of pumpkins

In this case

Price of one pumpkin, p = cost of 3 pumpkins / 3 pumpkins

P = 16.5/3 = $5.5

8 0
2 years ago
Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t
jasenka [17]

Answer:

a. 30%

b. $893.59

c.

\frac{(351.10-x)}{893.59}\times 100\%

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the  percent of the flooring bill that will go towards the cost of labor:

\%  labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

F_c=212.52+427.35+75\\\\=714.87

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59

Hence, she spends $893.59 on furniture.

c.To get what percentage of  furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

x+y=Furniture\  cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x

The percentage is then calculated as:

\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%

Hnece the percentage cost of the night stand is \frac{(351.10-x)}{893.59}\times 100\%

7 0
2 years ago
Which of the following could be the equation for a parabola that opens to the left with vertex (-17,2)?
Sholpan [36]
A sideways opening parabola is in the form x= y^{2}, so we know from the process of elimination that it will either be b or c.  Next we have to realize that if the parabola opens to the left it is a negative parabola, just like if a parabola opens upside down it is a negative parabola.  So the one that has the negative out front is b. 
3 0
2 years ago
Read 2 more answers
: adam and melissa went fly-fishing and caught a total of 32 salmon. melissa caught three times as many salmon as adam. how many
nadya68 [22]
A=Adam
m= Melissa

a+m = 32
m= 3a
Then 3a + a = 32  or 4a =32  then a = 8
5 0
2 years ago
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