Lucy wants to put out 32 ounces of orange juice in her favorite cylindrical pitcher for her family brunch. The pitcher is 13 cm in height and has a radius of 3 cm. Will the orange juice fit? A) No, because the volume of the vase is approximately 489.84 cubic centimeters, which is equivalent to 16.56 fluid ounces. B) No, because the volume of the vase is approximately 367.38 cubic centimeters, which is equivalent to 12.42 fluid ounces. C) Yes, because the volume of the vase is approximately 1469.52 cubic centimeters, which is equivalent to 49.69 fluid ounces. D) Yes, because the volume of the vase is approximately 367.38 cubic centimeters, which is equivalent to 10864.71 fluid ounces.

Answers

Answer 1

Answer:

$\bf \textit{volume of a cylinder}\n\n V=\pi r^2 h~~ \begin{cases} r=radius\n h=height\n[-0.5em] \hrulefill\n r=3\n h=13 \end{cases}\implies V=\pi (3)^2(13)\implies \stackrel{V=117\pi}{V\approx367.57~cm^3}$

now, a US gallon(128 oz), has 3785 cm³, so if there are 128 oz in 3785 cm³, how many ounces are there in 367.57 cm³?

$\bf \begin{array}{ccll} oz& cm^3\n \cline{1-2} 128&3785\n x&367.57 \end{array}\implies \cfrac{128}{x}=\cfrac{3785}{367.57}\implies \cfrac{128\cdot 367.57}{3785}=x\implies \stackrel{oz}{12.4}\approx x$

so her pitcher can only hold as much as 12.4 ounces of OJ, so those 32oz won't fit in it.

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A hexagonal prism has.............vertices.

Answers

Step-by-step explanation:

A hexagonal prism has 12 vertices.

Hope this answer will help you.

Have a great time

In the system -12c+3d=6 and -3c+6d=-9, which expression could you use for substitution?. A. d=-1/2c-3/2. B.c=-2d+3. C.c=1/4d-1/2. D. d=4c-2

Answers

The system:
- 12 c + 3 d = 6
- 3 c + 6 d = - 9
----------------------
The 1st equation:
- 12 c = - 3 d + 6 / * ( - 1) ( multiple both sides by -1 )
12 c = 3 d - 6 / : 12 ( divide both sides by 12 )
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Answer:
C ) c = 1/4 d - 1/2

What is the difference? 52 – 13 =

A.29
B.39
C.41
D.65

Answers

Answer:

Step-by-step explanation:

Your answer is B.

52-13=39.

Hope this helps and hope you have a great day

7 1/5 subtracted by 6 2/5 equals

Answers

Well, since the denominator is the same so you don't have to change to find an equal factor of the two, so that is good. So, 7 1/5-6 2/6 which equals 4/5. I hope I helped.

Can anybody answer this simple math question ive attached please

Answers

Well first you take the amount that Connor paid, $29.25 and subtract the base price for the pizza, $17.50

$29.25 - $17.50 = $11.75

Then you divide that number by the base price of 1 topping, $2.35

11.75 / 2.35 = 5

So Connor got 5 toppings on his pizza.

Answer:5

Step-by-step explanation:

12.57 round to the nearest tenth

Answers

You get 12.6

After the decimal starts the the tenth place. In order to round to the tenth place, we need to know the hundredth place which is the 7. If the hundredth place is 5 or greater then we round up and if it's 4 or lower then we keep the tenth place the same number as it is before.

Since the hundredth place is greater than or equal to 5, we round up the tenth place to 6. If you have any questions then leave a comment. Good luck!

12.57 rounded to the nearest tenth is 12.6 because the 5 is the tenth place and you have to look at the number to the right of that which is 7. 5 and up rounds up, so the 5 becomes 6 and the 7 disappears.

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