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2 years ago

Two trains leave towns 912 kilometers apart at the same time and travel toward each other. One train travels 12

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

5 0

Answer:

Step-by-step explanation:

Remark

The two trains are travelling towards each other. That means that their total distance = 912 km. Neither one has gone that distance by itself. The effect this has on the question is that you add the two rates multiplied by time.

Givens

r1 = x

r2 = x + 12

t = 3 hours

d = 912 km

Equation

d = r * t

r1 * t + r2 * t = 912

Solution

3x + 3*(x + 12) = 912 Remove the brackets

3x + 3x + 36 = 912 Combine like terms

6x + 36 = 912 Subtract 36 from both sides

6x = 876 Divide both sides by 6

6x/6 = 876/6

x = 146 km/h

Answer

Slow train = 146 km/hr

Fast train = 146 + 12 = 158 km/hr

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A 15ftX20ft room has a 6ft diameter circular rug in it. How much of the flood is not covered by the rug?

Luda [366]

Answer:

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

Step-by-step explanation:

step 1

Find out the area of the room

The area of the rectangular room is

$A=(15)(20)=300\ ft^2$

step 2

Find out the area of the circular rug

The area of the circle is

$A=\pi r^{2}$

we have

$\pi =3.14$

$r=6/2=3\ ft$ ----> the radius is half the diameter

substitute

$A=(3.14)(3)^{2}$

$A=28.26\ ft^{2}$

step 3

Find out what percentage of the room is not covered by the rug

we know that

300 ft^2 represent the 100%

using proportion

Find out what percentage represent the difference (300-28.26)=271.74 ft^2

Let

x ----> the percentage not covered by the rug

$\frac{300}{100\%}=\frac{271.74}{x}\\\\x=100(271.74)/300\\\\x=90.58\%$

Convert to fraction form

$90.58\%=\frac{90.58}{100}$

Simplify

$\frac{4,529}{5,000}$

therefore

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

4 0

3 years ago

Help!

cricket20 [7]

Answer:

70% = $\frac{70}{100} = \frac{7}{10} = 0.7$

20% = $\frac{20}{100} = \frac{1}{5} = 0.2$

Step-by-step explanation:

We know that x% is represented by the fraction $\frac{x}{100}$ .

Now, in the first part, we are given two percentages 75% and 70%.

Now, 75% = $\frac{75}{100} = 0.75$

and 70% = $\frac{70}{100} = \frac{7}{10} = 0.7$

Therefore, the second option is correct.

Again, in the second part, we are given two percentages 20% and 25%.

Now, 20% = $\frac{20}{100} = \frac{1}{5} = 0.2$

and 25% = $\frac{25}{100} = \frac{1}{14} = 0.25$

Therefore, the third option is correct. (Answer)

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3 years ago

A recipe calls for using 3/4 cup of brown sugar for each 2/3 cup of white sugar. How many cups of brown sugar are used per cup o

nikklg [1K]

3/4 all over 2/3 equal to x/1 cup

So 3/4 / 2/3 =x/1 now you can cross multiple so 3/4*1=3/4 then 2/3*x=2x/3 then you can solve for x.

3/4=2x/3 multiple 3 to both sides so the 3 cancels with the denominator of 2x
9/4=2x then divide by 2 to both sides to get x alone
9/8=x
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So for every 1 cup of white sugar you need 1.125 cups of brown sugar.

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2 years ago

Whats 1+1 x 10 x 61 divided by 2 then find the square root of what you get

Zina [86]

Answer:

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Step-by-step explanation:

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