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2 years ago

9

49of students at a school are boys. If there are 2610 students at the school, how many are girls?

1 answer:

ddd [48]2 years ago

5 0

Answer:

1,332 girls

Step-by-step explanation:

(49*2610)/100 = 1278

2610 - 1278 = 1332

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What is container B that is full after the pumping is complete ?

scoray [572]

<em>Answer</em>

68.4%

<em>Step-by-step explanation</em>

The volume of a cylinder is calculated as follows:

$V=\pi r^2h$

where <em>r </em>is the radius and <em>h </em>is the height of the cylinder.

In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:

$\begin{gathered} V_A=\pi\cdot5^2\cdot14 \\ V_A=350\pi\text{ ft}^3 \end{gathered}$

In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:

$\begin{gathered} V_B=\pi\cdot8^2\cdot8 \\ V_B=512\pi\text{ ft}^3 \end{gathered}$

After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, <em>x</em>, represents the volume of cylinder A. We can do this with the help of the next proportion:

$\frac{512\pi\text{ ft}^3}{350\pi\text{ ft}^3}=\frac{100\text{ \%}}{x\text{ \%}}$

Solving for x:

$\begin{gathered} 512\pi\cdot x=100\cdot350\pi \\ x=\frac{100\cdot350\pi}{512\pi} \\ x\approx68.4\text{ \%} \end{gathered}$

6 0

1 year ago

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answer

vagabundo [1.1K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In point a:

$\to \frac{5 \pi }{6}$

calculating a positive coterminal angle:

$\to \frac{5 \pi }{6} + 2 \pi \\\\ \to \frac{5 \pi +12 \pi }{6} \\\\ \to \frac{17 \pi }{6} \\\\$

calculating negative coterminal angle:

$\to \frac{5 \pi }{6} -2\pi \\\\ \to \frac{5 \pi - 12 \pi }{6} \\\\ \to \frac{ - 7 \pi }{6} \\\\$

In point b:

$\to \frac{-9 \pi }{4}$

calculating a positive coterminal angle:

$\to \frac{ -9 \pi }{4} + 2 \pi \ \ = \frac{-9 \pi + 8 \pi }{4} \\\\$

$\to \frac{ - \pi }{4} + 2 \pi \ \ = \frac{- \pi + 8 \pi }{4} \\\\$

$= \frac{ 7 \pi}{4}$

calculating a negative coterminal angle:

$\to \frac{ -9 \pi }{4} - 2 \pi \\\\ \to \frac{-9 \pi - 8 \pi }{4} \\\\ \to \frac{-17 \pi }{4}$

3 0

3 years ago

Can someone answer these correctly please!!

Pani-rosa [81]

X= 1 is the answer as you can see values of f(x) and g(x) are same

8 0

3 years ago

Give the x and y intercepts: x+3y=24

Ray Of Light [21]

Answer:

y-intercept is 8

x-intercept is 24

Step-by-step explanation:

put equation into slope-intercept form:

x + 3y = 24

3y = -x + 24

y = -1/3x + 8

now we know the y-intercept is at point (0,8)

4 0

2 years ago

Use distributive property to write an equivalent expression 6(g+h)

Nimfa-mama [501]

Answer:

6g+6h

Step-by-step explanation:

Hi there!

Well distributive property is basically just multiplying out the parenthesis.

6(g)+6(h)

6g+6h

Hope this helped! Have a great day! ^u^

8 0

3 years ago