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Dima020 [189]
3 years ago
15

If the length of each side of a cuboid decreases by 20%, find the percentage decrease in its volume.

Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

Step-by-step explanation:

(1+25 /100) (1-20/100) (1-50/100)  <1

5/4 x 4/5 x 1/2 <1

Decrease in volume (in percent)

(1+25 /100) (1-20/100) (1-50/100)  x 100

=48.8%

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There are 1200 students at a school.
const2013 [10]

Answer:

The number of boys that have school dinners is 381.  

           

Step-by-step explanation:

First, we need to find how many students have school dinners:

SD = 1200*0.62 = 744

The percent of girls that have school dinners:

\%SD_{g} = 100\% - 45\% = 55\%

Now, we need to find the number of boys (b) and girls (g) at a school:

g = 1200*0.55 = 660

b=1200 - 660 = 540

Hence. the percent of boys that have school dinners is given by:

SD = g*\%SD_{g} + b*\%SD_{b}

\%SD_{b} = \frac{SD - g*\%SD_{g}}{b} = \frac{744 - 660*0.55}{540} = 0.706

\%SD_{b} = 70.6\%

Finally, the number of boys that have school dinners is:

B = 540*0.706 = 381    

Therefore, the number of boys that have school dinners is 381.                                

I hope it helps you!                                                                            

4 0
3 years ago
Algebraically, find all remaining zeros of f(x) = 8x^3 - 6x^2-36x +27 in simplest form.
viva [34]

Answer:

x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}

Step-by-step explanation:

Given expression is,

f(x) = 8x³ - 6x² - 36x + 27

For zeros of the function,

f(x) = 0

8x³ - 6x² - 36x + 27 = 0

2x²(4x - 3) - 9(4x - 3) = 0

(2x² - 9)(4x - 3) = 0

(2x² - 9) = 0

x² = \frac{9}{2}

x = \pm\frac{3}{\sqrt{2}}

x = \pm \frac{3\sqrt{2}}{2}

Or (4x - 3) = 0

x = \frac{3}{4}

Therefore, all zeros of the given functions are  x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}.

7 0
3 years ago
-9(-4w-v+5)<br> Use the distributive property to remove the parentheses
emmasim [6.3K]

Answer:

Step-by-step explanation:

-9(-4w-v+5) = -9*(-4w) - (-9)*v + (-9)*5

                   = 36w + 9v - 45

4 0
3 years ago
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The string tied to the plant would most likely be 7 feet long
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3 years ago
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Answer:

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Step-by-step explanation:

we can get the answer by putting it in the calculator

4 0
2 years ago
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