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2 years ago

There are 375 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?

Mathematics

2 answers:

Natalka [10]2 years ago

4 0

125? Girls
Are
In
The
Senior class

iogann1982 [59]2 years ago

4 0

There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class?
210
147
117
107

(Scroll Down for Answer!)
Let x=# of boys and y=# of girls

Because "There are 357 seniors", this means that . Solving for "y", we get

Since "The ratio of boys to girls is 7:10", this tells us that we have the ratio:

Start with the given equation

Plug in

Cross multiply

Distribute.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce. So there are 147 boys

Go back to the isolated equation

Plug in

Subtract. So there are 210 girls

----------------------------------------------------------------------

Answer:

So there are 147 boys and 210 girls

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Mademuasel [1]

$\frac{4}{x - 1} + \frac{6}{x + 1} = \frac{-12}{x^{2} - 1}$

$\frac{4(x + 1)}{(x - 1)(x + 1)} + \frac{6(x - 1)}{(x - 1)(x + 1)} = \frac{-12}{x^{2} - 1}$

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2 years ago

If AB = 8, and OX = 3 and is the perpendicular bisector of AB, which is the length of the diameter of this circle?

Sladkaya [172]

Answer:

C. 5

Step-by-step explanation:

OXA is a 3-4-5 right triangle, so the circle radius is OA = 5.

_____

By the Pythagorean theorem,

AO² = OX² +AX² = 3² +4² = 9 +16 = 25

AO = √25 = 5 . . . . circle radius

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Comment on Pythagorean triples

The triple of integers (3, 4, 5) is the smallest triple of integers that satisfies the relation of the Pythagorean theorem. The next smallest set is (5, 12, 13). These, and a few other similar triples such as (7, 24, 25) and (8, 15, 17) are often used in algebra and geometry problems because they make the numbers work out nicely. It is worthwhile to learn to recognize these.

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2 years ago

A Hospital telephone operator has observed that calls arrive at a rate of 300 calls per hour. What is the probability that there

NeTakaya

Answer:

It can be done using poisson distribution.

λ = 30 calls/hr = 1.5 calls/3min

Now P(X=x)=e−λ.λxx!

So P(X=0)=e−1.5

Step-by-step explanation:

8 0

1 year ago

In an obstacle course, participants climb to the top of a tower and use a zip line to travel across a mud pit. The zip line exte

barxatty [35]

Using relations in a right triangle, it is found that the length of the zip line is of 40.4 feet.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

This situation can be modeled by a right triangle, in which the extension of the zip line of 48.2 feet is the hypotenuse and the length is the adjacent side to the angle of 33º, hence:

$\cos{33^\circ} = \frac{l}{48.2}$

l = 48.2 x cos(33º)

l = 40.4.

The length of the zip line is of 40.4 feet.

More can be learned about relations in a right triangle at brainly.com/question/26396675

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1 year ago

Find the value of x

yan [13]

Answer:

150

Step-by-step explanation:

x+15+135-x

combine like terms

15+135=150

-x+x

3 0

2 years ago