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2 years ago

A herd of 37 horses has 33 white and some black horses. What is the ratio of black horses to white horses?

Mathematics

1 answer:

kotykmax [81]2 years ago

6 0

The ratio of black horses to white horses is 4 : 33.

Solution:

Given that , A herd of 37 horses has 33 white and some black horses.

We have to find what is the ratio of black horses to white horses?

Now, number of black horses = total number of horses – number of white horses

Number of black horses = 37 – 33 = 4 horses

Now, ratio of number of black horses to number of white horses = number of black horses : number of white horses

= 4 : 33

Hence, the ratio of black horses to white horses is 4 : 33

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One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak

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Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

$\frac{1}{15} x + \frac{1}{30} x = 1$

This is representative of the situation. The fractions each represent how much each person does in a minute, and when they're multiplied by x, that's how much of the project they get done based off of the minutes they work together on the job. Add the two together, and you get how much of the project is finished in x amount of time. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

$\frac{1}{15} x + \frac{1}{30} x = 1$

$\frac{2}{30} x + \frac{1}{30} x = 1$

$\frac{3}{30}x = 1$

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Therefore, it will take them 10 minutes to do the job together.

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2 years ago

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2 years ago

Solve the system using elimination: Help me please 12x - 8y = -12 6x + 4y = -30

LUCKY_DIMON [66]

12x - 8y = -12

6x + 4y = -30

Multiply the 2nd equation by 2, to make the Y coefficients opposite:

6x + 4y = -30 x 2 = 12x + 8y = -60

Now add the two equations:

12x -8y = -12 + 12x +8y = -60

= 24x = -72

Divide bothe sides by 24 to solve for x:

x = -72/24

x = -3

Now replace x with -3 in the first equation to solve for y:

12(-3) - 8y = -12

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Add 36 to each side:

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Divide both sides by -8 to solve for y:

y = 24 / -8

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2 years ago

A herd of 37 horses has 33 white and some black horses. What is the ratio of black horses to white horses?​

A herd of 37 horses has 33 white and some black horses. What is the ratio of black horses to white horses?