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anzhelika [568]
3 years ago
7

The admission fee at fair is $1.50 for children and $4 for adults. On a certain day 2200 people enter the fair and $5050 is coll

ected. Write the system of equations for this scenario if a is the number of adults and c is the number of children
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

1.50c +4A =2200$ would be the correct awnser

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A grocery store is having a "buy 2 get 1 free" promotion on their six-pack cans of orange juice. If Mrs. VanCleave decides to ta
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Buys 2 gets 1 free okay so ..
Each pack has 6
She buys 6*2 = 12+ 6 because it’s the free pack it’ll be 18 cans per purchase
If she does this for 7 days (a week )
We will do 18 times 7

18*7 = 126 cans

Mrs. VanCleave will have 126 cans of orange juice.

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3 years ago
A carousel is an amusement ride consisting of a rotating...
Whitepunk [10]
To answer this question you will use the formula for circumference of a circle to find how far around one revolution is.

C = pi x d
     3.14 x 32
C = 100.48 feet

Multiply the distance around one time by 4.3 to get the distance traveled in one revolution and then multiply it by 3 for the 3 minutes.

100.48 x 4.3 x 3 = 1296.19 feet
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4 0
3 years ago
This question is down below. The picture attached below. <br> Thanks.
Ostrovityanka [42]

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1g^{2}+30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1g^{2}+30g-1200

0.1g^{2}-30g+1200+665.60=0

0.1g^{2}-30g+1865.60=0

Divide the above equation by 0.1.

g^{2}-300g+18656=0

Solving for g we get,

g=[300±\sqrt{(300)^{2}-4*1*18656 }]/2*1

g=[300±\sqrt{90000-74624}]/2

g=[300±\sqrt{15376}]/2

g=(300±124)/2

g=(300+124)/2       , g=(300-124)/2

g=424/2,  g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1g^{2}+30g-1200.

-0.1g^{2}+30g-1200=1500

0.1g^{2}-30g+1500+1200=0

0.1g^{2}-30g+2700=0

Dividing equation by 0.1.

g^{2}-300g+27000=0

Solving the equation for finding value of g.

g=[300±\sqrt{300^{2} -4*1*27000}]/2*1

=[300±\sqrt{90000-108000}] /2

=[300±\sqrt{-18000}]/2

Because \sqrt{-18000} comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Learn more about equation at brainly.com/question/2972832

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7 0
1 year ago
Write an expression for four times the product of -9 and x and then simplify it.
katrin2010 [14]
4(-9*x)

Multiply the two numbers
-36x

Final answer: -36x
5 0
3 years ago
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To pay for a $23,700 motorcycle, Carmen made a down payment of $3900 and took out a loan for the rest. On the loan, she paid mon
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Answer:

<h3>a.)</h3>

Carmen paid monthly payments of $438.27 for 4 years.

i.e.,

1 year = 12 months

4 year = 12 × 4 = 48 months

So,

438.27 × 48 = $21,036.96

Now, the total amount including down payment is,

$21,036.96 + $3900 = $24,936.96

Thus, The total amount Carmen ended up paying for the motorcycle (including the down payment and monthly payments) is $24,936.96.

 

<h3>b.)</h3>

Interest did Carmen pay on the loan,

$24,936.96 - $23,700 = $1236.96

Thus, The answer is $1236.96.

 

<u>-TheUnknownScientist</u><u> 72</u>

3 0
2 years ago
Read 2 more answers
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