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2 years ago

There are 16 rats in a cage. The ratio of white rats to all rats is 3:4. How many white rats are in the cage?

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

8 0

Answer:

There are 12 white rats in the cage.

Step-by-step explanation:

3 : 4 The question says there are 16 rats in the cage. Meaning that 16 is the

x4 x4 total. Since 4(from the ratio)x4 is 16. You would multiply 4 on both sides.

12 : 16

Meaning there are 12 white rats to 16 total rats.

If you have any additional questions, please feel free to ask in the comments.

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Allushta [10]

Answer:

9/10

Step-by-step explanation:

You can write 9 as the numerator (top number), and 10 as the denominator (bottom number), and that will be equivalent to 0.9

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What is 3/5 written as a decimal? 0.12 0.3 0.6 1.67

Alenkasestr [34]

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2 years ago

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What's the area of this rectangle?

Bess [88]

well, the assumption is that is a rectangle, namely it has two equal pairs, so we can just find the length of one of the pairs to get the dimensions.

hmmmm let's say let's get the length of the segment at (-1,-3), (1,3) for its length

and

the length of the segment at (-1, -3), (-4, -2) for its width

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill$

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}$

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2 years ago

A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans th

Sedbober [7]

Answer:

12 feet ladder

Step-by-step explanation:

Height of 12 ft ladder :

Using Pythagoras :

Tan θ = Adjacent / hypotenus

Tan 57 = h / 12

1.5398649 * 12 = 18.48 feets

For 16 feet ladder :

Tan θ = Adjacent / hypotenus

Tan 30 = h / 16

0.5773502 * 16 = 9.24 feets

18.48 > 9.24

Hence, he'll climb the 12 feets ladder to the higher height

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3 years ago

Solve 3(x+2)+5(x+2)=64

valkas [14]

Answer:

Step-by-step explanation:

3x+6+5x+10=64

3x+5x+6+10=64

8x+16=64

8x=64-16

8x=48

divide both sides by 8

x=6

6 0

3 years ago