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serious [3.7K]
3 years ago
15

suppose you have 192 marbles in groups of 15 marbles each. Find the number of groups of marbles that you have. Write the quotien

t with the remainder written as a fraction. Explain wha th faction part of your answer means.
Mathematics
2 answers:
stepan [7]3 years ago
8 0
So if you have 192 marbles and you want to group them in groups of 15 marbles each
you would see how many times 15's there are in 192 or how many 192's would go into 15

so 192/15 or 
12 and 12/15
kolbaska11 [484]3 years ago
5 0

The <em><u>correct answer</u></em> is:

12 12/15, or 12 4/5.

Explanation:

15 goes into 192 12 times. 15(12) = 180. This leaves us a remainder of 192-180 = 12. This gives us 12 12/15.

Both 12 and 15 can be divided by 3; (12÷3)/(15÷3) = 4/5.

This gives us 12 4/5.

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A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0
3 years ago
I need help plz will give brainliest
lesya [120]

Answer:

$10,000

Step-by-step explanation:

Cross multiply and divide by 55.

Hope this helps!

5 0
3 years ago
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The total value of the money in her piggy bank is $7.75. If Brielle has 63 nickels, write and solve a linear equation to find th
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4 0
3 years ago
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Sever21 [200]
The answer is 3, -3 so D
3 0
3 years ago
Evaluate the variable expression using the given values for the variable.
bixtya [17]

9514 1404 393

Answer:

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Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

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4 0
3 years ago
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