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3 years ago

Explain how you can find the simplest form of 100/1000

2 answers:

8 0

You can find the simplest form by dividing both the numerator and denominator by the GCF (greatest common factor). 100 divides into 100 and 1,000 equally so that can be the GCF used to reduce the fraction into its simplest form.

$\frac{100/100}{1000/100}$

$\frac{1}{10}$

The simplest form is $\frac{1}{10}$ .

Nezavi [6.7K]3 years ago

5 0

When finding the simplest form of a fraction, think of the GCF, or greatest common factor between the two numbers (100 and 1000)

In this case, it would be 100 as the greatest number they are divisible by is 100.

Then, to reduce the fraction, divide the top and bottom number by the GCF.

100/1000=1/10

The simplest form is 1/10

Hope this helped :)

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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$

$\implies y-153=11(x-8)$

$\implies y-153=11x-88$

$\implies y=11x-88+153$

$\implies y=11x+65$

When Ann had added no water, x = 0. Therefore,

$y=11(0)+65$

$y=65$

So there was 65 gallons of water in the pool before Ann starting adding water.

3 0

2 years ago

Read 2 more answers

Estimate each product : 1/7 x 20

Masteriza [31]

Answer:

2.85714285714

Step-by-step explanation:

just searched it.

5 0

3 years ago

Read 2 more answers

Solve for x -5(2x+1)-2x-2=17

inna [77]

-5(2x+1)-2x-2=17
first, distribute
-10x-5-2x-2=17
combine like terms
-12x-7=17
get the x alone, eliminate the constant
-12x=24
divide out the -12 to get the x alone.
x=-2

4 0

3 years ago

1. Which describes the intersection of plane A and line m?

NeTakaya

1. The intersection between plane A and line n is the point x
2. Since the right angle is bisected, the two smaller angles produced have measures of 45 degrees.
c. m∠CEB = 45°
3. There is only 1 line that can be drawn between J and K

4 0

3 years ago

Read 2 more answers

Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run

Monica [59]

The number of kilometers she will have left to run to finish the race is 0.9 km.

Given the following data:

Total distance = 13.5 km

Speed = $8\frac{2}{5} \;km/hr$

Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

$Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}$

Distance = 12.6 meters.

For the distance left:

$Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6$

Distance left = 0.9 km.

Learn more about distance here: brainly.com/question/10545161

7 0

2 years ago