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Ber [7]
3 years ago
5

Marc wants to guess how many marbles are in a box that has a height of 18 inches. He calculates that there are 32 marbles in a h

eight of 5 inches. Approximately how many marbles are in the box?
Mathematics
1 answer:
Rainbow [258]3 years ago
8 0

So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.

\frac{32}{5} = \frac{x}{18}

To get from 5 to 18, you multiply by 3.6.

Do the same thing to the numerator; 32 × 3.6 = 115.2.

Since 0.2 marbles is no marbles, you round down.

There are 115 marbles in the box.

♡ Hope this helps! ♡

❀ 0ranges ❀

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Katie bought 2 one gallon bottles for a party. Her guest drank 5/4 gallons of juice. What is the fraction of juice leftover? Sho
frosja888 [35]

Answer:

3/4 gallons of juice

Step-by-step explanation:

Katie bought 2 one-gallon bottles for a party.

2 one-gallon bottles = 2-gallon bottles of juice

We are told that:

Her guest drank 5/4 gallons of juice.

The fraction of juice leftover is calculated as:

2 gallons of juice - 5/4 gallons of juice

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

= 8 - 5/4

= 3/4 gallons of juice

Therefore, the fraction of juice leftover is 3/4 gallons of juice

7 0
3 years ago
Find the area of a circle with diameter 12 cm.
luda_lava [24]

Answer:

113.04 cm.

Step-by-step explanation:

Step 1: <u>Formula/explain</u>

To find the area of a circle, multiply the radius by itself twice, then multiply the product pi.

a=\pi r^2(3.14*radius*radius)

Step 2: <u>Solve</u>

According to the word problem, the circle has a diameter of 12. This means it has a radius of 6.

Now, we plug the numbers into formula.

\pi 6^2 (3.14*6*6)=113.04

Step 3: <u>Conclude</u>

Therefore, the area of this circle is 113.04 cm.

3 0
3 years ago
The diagram below represents the net of a triangular prism. What is the surface area of the triangular prism?
AleksandrR [38]

Answer:

(C)

Step-by-step explanation:

The diagram is divided ninto 5 parts that is rectangles ABCD, CHGD, GFEH and  triangles CIH and DGJ.

Area of rectangle ABCD= l{\times}b

=12{\times}6=72cm^{2}

Area rectangle CDHG=  l{\times}b

=12{\times}8=96cm^{2}

Area rectangle HGFE= l{\times}b

=10{\times}12=120cm^{2}

Area of triangles CIH and DIG= 2{\times}\frac{1}{2}{\times}b{\times}h

=6{\times}8=48cm^{2}

Surface area of the triangular prism=Area of rectangle ABCD+Area rectangle CDHG+Area rectangle HGFE+Area of triangles CIH and DIG

=72+96+120+48=336cm^{2}

Hence, option C is correct.

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3 years ago
I NEED THE ANSWER FAST PLZ!!<br> What is the slope of this line?
Elina [12.6K]

Answer:

the slope of this line is 0

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Step-by-step explanation:

Is the horizontal line edging upward; that is, is it an increasing line? No, so its slope can't be positive. Is the horizontal line edging downward; that is, is it a decreasing line? No, so its slope can't be negative. What number is neither positive nor negative?

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