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Marrrta [24]
2 years ago
5

I been asking for help since yesterday

Mathematics
1 answer:
mihalych1998 [28]2 years ago
6 0
This one is extremely simple, and we can use the color coded pie chart to find the cost of each of the 5 things.

For the first, decorations, Mary spent $?? as shown by the blue triangle on the pie chart. Let’s get the other ones first to total the money left over.

For the second, she spent $65 on food, as shown by the green triangle on the pie chart.

For the third, she spent $80 on party hall rental, as shown by the blue triangle on the pie chart.

For the fourth, she spent $30 on prizes, as shown by the dark blue triangle.

And for the fifth one, she spent $45 on invitations. A bit too expensive if you ask me.

Then we add all the costs together, and get 220. After adding the extra costs such as candy, costumes, and music, we get a total of $345. We would subtract this from $375 to get a total of $30 left over, which was spent on decorations. The ??? value of the light blue triangle is $30.

Hope this helps!
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3 years ago
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A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
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3 years ago
How do you solve 8x+3c=2200
GREYUIT [131]
8x + 3c = 2200
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Calculate the value of A in the statement​
tigry1 [53]

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3 years ago
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