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Lilit [14]
3 years ago
14

Hiroshi has 4 engines and 18 box cars. Find the ratio of engines to box cars. Write the ratio as a fraction in simplest form.

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0
To write a ratio as a fraction, we simply take the first number in the ratio and make it the numerator while taking the second number in the ratio and making it the denominator.

Because we want the ratio of engines to box cars, our ratio should be:

number of engines/number of box cars

When we substitute in our respective values, we get:

4/18

To simplify this ratio, we have to find the GCF, or greatest common factor of the numerator and the denominator, which in this case is 2. To simplify, we divide both the numerator and the denominator by the GCF, as follows:

4/2 / 18/2

When we simplify, we get:

2/9

Therefore, your answer is 2/9.

Hope this helps!
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The answer is D hope this help

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SHALL GIVE BRAINLIEST ANSWER!! A ​40% solution of fertilizer is to be mixed with an ​80% solution of fertilizer in order to get
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Answer:

20 gallons of the 40% solution, 60 gallons of the 80% solution

Step-by-step explanation:

Let x = the gallons of the 40% solution, and y = the gallons of a 80% solution. The first thing we want to do here is to convert each percentage into decimal form - including the ​70% solution mixture.

40% = 0.40,

80% = 0.80, respectively 70% = 0.70

As you can tell, 0.40 is associated with x gallons, 0.80 is associated with y gallons, and the mixture contains 0.70 * 80 solution, as 0.70 is associated with 80. Therefore we can formulate the following expression,

0.40x + 0.80y = 0.70 * 80

At the same time x + y = 80, as the solution ( mixture ) is present with 80 gallons. Isolating x, x = 80 - y. Let us plug that into our expression, solving for y, following by x gallons.

0.40\left(\:80\:-\:y\:\right)\:+\:0.80y\:=\:0.70\:\cdot \:80

0.4\left(80-y\right)+0.8y=56 ( Multiply either side by 10 )

4\left(80-y\right)+8y=560 ( Expand )

320-4y+8y=560

320+4y=560

4y=240

y = \frac{240}{4} = 60 ( Substitute to solve for x )

x = 80 - y = 80 - 60 = 20

As you can see there are 20 gallons of the 40% solution, and 60 gallons of the 80% solution.

3 0
3 years ago
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Therefore your answer is 26.5%.
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