There would be 22 red chips in the bucket containing 66 total chips.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let us assume the ratio of red chips to blue chips is 1:2.
Hence, if there 44 blue chips in the bucket:
(2/3) * total chips = 44
Total chips = 66
Number of red chips = (1/3) * 66 = 22
There would be 22 red chips in the bucket containing 66 total chips.
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12^2 - 11^2
= 144 - 121
= 23
square root (23) = 4.79 = 4.8
answer
C. 4.8
First make the fractions into decimals so it's easier to compare them.
1/2 ⇒ 0.5
2/3 ⇒ 0.66
2/5 ⇒ 0.4
3/4 ⇒ 0.75
Now it's easy to order the numbers from least to greatest.
First order the decimals.
0.4, 0.5, 0.66, 0.75
Now order them with their corresponding fractions.
2/5, 1/2, 2/3, 3/4 is your answer.
The volume of a cylinder is the area of the base, times the height.
<span>The area of the circular base is, of course, π times the square of its radius. </span>
<span>So the volume of a cylinder, V, is </span>
<span>V = π h r^2 </span>
<span>where h is the height and r is the radius. </span>
<span>If we multiply the height by 3, the new height is 3h. </span>
<span>If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. </span>
<span>So the new volume would be </span>
<span>π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 </span>
<span>which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. </span>
<span>So the volume of the larger pool is </span>
<span>27 * 37 cubic feet = 999 cubic feet [answer B] </span>
<span>This is an instance of a general rule: </span>
<span>If we multiply ALL the linear dimensions of an object by a factor F, </span>
<span>while keeping the shape the same (often termed "similar" in geometry), </span>
<span>that multiplies the volume by F^3 (the cube of F). </span>
<span>It also multiplies the surface area by F^2. </span>
<span>These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.</span>
Answer:
number of songs = 9 songs
Step-by-step explanation:
According to Marcus the the song are each 3 start fraction , 1 divided by 2 end fraction minutes long. This can be expressed mathematically as 3 1/2 minutes long.
The slide show is 31, start fraction , 1 divided by, 2 end fraction minutes. This can be expressed also as 31 1/2 minutes long. The slide show contains the entire song.
Recall each song is 3 1/2 minutes long . The whole number fraction can be converted to improper fraction as 7/2 minutes long.
The whole slides show can be converted to improper fractions as 63/2 minutes long.
The number of song in the slideshow can be solved when we divide the total time in the slideshow by the time of each song.
number of songs = 63/2 ÷ 7/2
number of songs = 63/2 × 2/7
number of songs = 63/7
number of songs = 9 songs