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Sav [38]
3 years ago
13

A box was 3/4 full of marbles. The box fell on the floor. Thirty marbles fell out. This was 20% of the marbles in the box. How m

any marbles would a full box contain?
Mathematics
1 answer:
Hunter-Best [27]3 years ago
7 0

Answer: -5.7

Step-by-step explanation:

3/4- 30= -29.25 and that was only 20% of the box that was dropped out of the box. -29.25 of 20% equals -5.85. 3/4 of 20% equals 0.15 subtract the 2 decimals and you will get -5.7

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Multiply
Dmitriy789 [7]

Answer:

The product of given two fractions is

\frac{4(x+2)}{(x-1)(x+3)}

Therefore \frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}

Step-by-step explanation:

Given expression is  

\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}

To find the product of two given fractions as below :

\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{2(5)}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}

=\frac{10}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}

=\frac{20x(x+2)}{5x(x-1)(x+3)}

=\frac{20x^2+40x}{(5x^2-5x)(x+3)} (multiply each term in the factor to each term in the another factor )

=\frac{20x^2+40x}{5x^3+15x^2-5x^2-15x}  ( adding the like terms )

=\frac{20x^2+40x}{5x^3+10x^2-15x}

=\frac{5x(4x+8)}{5x(x^2+2x-3)}

=\frac{4(x+2)}{(x-1)(x+3)}

Therefore \frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}

Therefore the product of given two fractions is \frac{4(x+2)}{(x-1)(x+3)}

6 0
3 years ago
A cylinder has a base with a diameter of 10.8 cm and height 15 cm into the volume of a cylinder in a cubic centimeters round you
LekaFEV [45]

Answer:

V=1,373.44\ cm^3

Step-by-step explanation:

<u><em>The correct question is</em></u>

A cylinder has a base with a diameter of 10.8 centimeters and height 15 centimeters. Enter the volume of the cylinder, in cubic centimeters. Round your answer to the nearest hundredth

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

where

r=10.8/2=5.4\ cm ----> the radius is half the diameter

h=15\ cm

assume

\pi =3.14

substitute

V=(3.14)(5.4)^{2} (15)=1,373.44\ cm^3

5 0
2 years ago
Braxton loves to download new music. He originally had 41 songs but plans to purchase 4 new songs each week. He wants to know ho
iren [92.7K]
Original songs he has are 41.
Bought songs per week are 4.
Bought songs in 110 weeks are (4*110) = 440

Total songs he bought altogether
41 + 440
5 0
3 years ago
Read 2 more answers
A store advertise 15% off an item that regularly sells for 300$. What is the sale price of the item
erik [133]

Answer:

255

Step-by-step explanation:

(1-15%)a=300

a=255

7 0
3 years ago
Read 2 more answers
What does n equal to in 12n + 9 = 6 - 3n
sveticcg [70]
12n+9=6-3n\ \ \ \ \ \ |Add\ 3n\ to\ each\ side\\\\&#10;15n+9=6\ \ \ \ \ |Subtract\ 9\\\\&#10;15n=-3\ \ \ \ \ |Divide\ by\ -15\\\\&#10;n=-\frac{3}{15}=\boxed{-\frac{1}{5}}
6 0
3 years ago
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