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3 years ago

The ratio of boys to girls in the gym was 4 to 5. How many boys were in the gym if there were 125 girls in the gym?

Mathematics

1 answer:

Anna007 [38]3 years ago

8 0

Answer:

If there are 125 girls, and the ratio is boys to girls, then you can divide 125 by 5 to get the multiplication factor. This would be 25. Now you can multiply 25 by 4 to get how many boys were in the gym, which would be 100. To get back to your original ratio, you can divide 100/125 by 25 on top and bottom to get 4:5, or 4/5. :)

Step-by-step explanation:

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Find the 15th term of the geometric sequence 180, 90, 45,...

denis23 [38]

Answer:

$\frac{45}{4096}$

Step-by-step explanation:

1) q=90/180=45/90=...=1/2;

2) the formula of the n-th term of the given sequence is:

$a_n=a_1*q^{n-1};$

3) according to the formula 15th term is:

$a_{15}=a_1*q^{15-1}=180*\frac{1}{2} ^{14}=\frac{180}{16384} =\frac{45}{4096}$

or ≈0.011.

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3 years ago

Evaluate the expression if a = -1 and b = 1/2.<br> 3+a/2 - 6b

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3 years ago

radio signals travel at a rate of 3 x 10^8 meters per second. how many seconds will it take for a radio signal to travel from a

zvonat [6]

Answer:

$time=1.2\times 10^{-1}\ second$

Step-by-step explanation:

Given:

The speed of the radio is $3\times 10^{8}$ meters per second.

The distance of the satellite from the earth is $3.6\times 10^{7}$ meter

The formula of the speed is

$speed = \frac{distance}{time}$

For time the formula is.

$time = \frac{distance}{speed}$

put distance and speed value in above equation.

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4 years ago

WILL GIVE BRAINLIEST!!

TEA [102]

Answer:

Simple springs obey Hooke's Law. Hooke's Law states that the force on a spring is proportional to it's displacement from it's resting length:

F = -k*x

Where F is the force, x is how far the string is stretched or compressed, and k is a proportionality constant called the spring constant. The negative sign is because the spring resists stretching.

In this case, we can solve for k using the first case:

(100N) = -k * (5cm)

k = ???

And plug that answer in to find x in the second case:

(360N) = -k * x

This is a "Hooke's Law" problem: the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed. You can figure solve it by setting up a proportion equation and then using the algebraic tool of cross multiplication to solve for the unkown "stretch".

1) set up the proportion equation

100 = 360

5 x

2) cross multiply to get a linear equation

100x = 5*360

3) solve for x

100x = 1800

x = 18

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2 years ago

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Xelga [282]

Answer:

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Step-by-step explanation:

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