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irina1246 [14]
3 years ago
8

Solve for the missing variable. 1.) 80/120 =2/x

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

\frac{80}{120} = \frac{2}{x}

Simplify, divide the numerator and denominator by the same number

\frac{80}{120}\\

÷ 40

\frac{2}{3}

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

Cross products

2x = 2 *3\\2x = 6\\/2    /2\\\\x = 3

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The ratio of the diameters is 15:11. If the diameter of the smaller ball is 55cm, what is the volume of the larger ball? Round t
gizmo_the_mogwai [7]

Answer:

220,781.25 cubic cm

Step-by-step explanation:

Given ratio of the diameters = 15:11

Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11

Given that smaller one has diameter of 55cm

thus 11x = 55cm

x = 55/11 cm = 5

Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.

we know that radius is half of diameter

Radius = diameter/2

Thus radius of larger ball = 75/2 cm = 37.5 cm.

Volume of sphere is given by (4/3)\pi r^3

we know that  ball has spherical shape

thus volume of larger ball is calculated as given below

volume \ of \ ball = (4/3)\pi r^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = 220,781.25

Thus, volume of larger ball is 220,781.25 cubic cm

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3 years ago
How to solve and graph |x| less than or equal to |y|
GarryVolchara [31]
Do you have the problem for the linear equations
6 0
3 years ago
If you could please help
FinnZ [79.3K]

Answer:

SA =588 m^2

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6 0
3 years ago
BRAINLIEST + POINTS! Please explain
ivolga24 [154]

Answer:

Option D. \$83.75  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

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P is the Principal amount of money to be invested  

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in this problem we have  

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substitute in the formula above  

A=\$18.745(1+\frac{0.05}{12})^{12*30}=\$83.75  

3 0
4 years ago
On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G?
Talja [164]
Answer: 15
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