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Sergio [31]
3 years ago
7

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received 5 fewer cookies than she

would have received had all of the cookies been evenly divided among the h grandchildren.
How many cookies did Cindy receive?
Write your answer as an expression.
Mathematics
2 answers:
Harman [31]3 years ago
8 0
If the cookies had been divided equally between the h grandchildren then each grandchild would receive 96/h  cookies.
So Cindy  received (96/h) - 5   cookies
Grace [21]3 years ago
3 0
Does not say how many grandchildren. Say n, integer. So, all received some cookies, x, except Cindy, who received 5 less than the even number:

even number= 96/n, Cindy gets 96/n-5, the rest receive the rest of the cookies:

96 - (96/n-5) = 96*(1-1/n) + 5 = 96*(n-1)/n + 5.

Then each of them (n-1) receive the previous number divided by (n-1) -Cindy is not there:

each of the other grandchildren receives:

96/n + 5/(n-1), and Cindy receives 96/n-5, it just needs to be positive.

So any number 'n' which divides 96 and 'n-1' divides 5 works.

Indeed ONLY n=6, makes 5/(6-1) possible.

So there are 6 grandchildren:

5 receive 17 cookies, and Cindy gets 11.

If it were evenly distributed, all would have got 96/6 = 16 cookies.

Now 5 get one more cookie, and Cindy 5 less.

WOW. Very nice problem!! Gonna share it :)


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Guys please help with this question thanks
erastova [34]
= 16 + 49 - 3(11)  - 4(10)
= 16 + 49 - 33 - 40
= -8
3 0
3 years ago
One hundred divided by twice a number is ten
Ludmilka [50]

\frac{100}{2x} = 10

Are you trying to find x, or are you only suppose to translate it?

If you are trying to find x, you first multiply 2x on both sides

100 = 10(2x)

Divide 10 on both sides

10 = 2x

Divide 2 on both sides

5 = x

5 0
3 years ago
The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).
mars1129 [50]

Answer:

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

This function has the following derivative, which represents the variation in relation to the previous month.

S'(t) = 0.09t^{2} + t + 9

Find S(2) and S'(2)

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(t) = 0.09t^{2} + t + 9

S'(2) = 0.09*2^{2} + 2 + 9 = 11.36

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0
3 years ago
Help with these two figured and you shall be granted points. Good deal, half off.
STALIN [3.7K]

Answer:

5. C - 180ft²

6. D - 120m³

Step-by-step explanation:

5.

(6.5 x 11) = 71.5

(6 x 2.5) = 15

(6 x 11) = 66

(2.5 x 11) = 27.5

6.

((7.5 x 4)/2)(8) = 120

7 0
3 years ago
Someone please help me I have to show how they're similar
Sidana [21]
Angle AXD = angle CXB (vertically opposite angle)
then angle ADB = angle ABC 
then angle DAB = angle BCD 
I couldn't remember the name of the rule 
I said that they are equal if you look at the curve AC and DB
They called them that two angles that subtended by the same mirror (arc)
lead them to be a similar angle (angle - angle - angle)
3 0
3 years ago
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