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aniked [119]
3 years ago
8

Twenty five football players chose to have their hair cut before winter break. If this represents 1/3 of the students on the foo

tball team, write and solve an equation to determine x, the number of students on the football team
Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:

Equation for 'x' is \frac{1}{3}x=25.

There are <u>75</u> students in the football team.

Step-by-step explanation:

Let the number of students on the team be 'x'.

Given:

Number of players to have hair cut = 25

Number of players to have hair cut is one-third of the total students in the football team.

So, framing in equation form, we get:

\frac{1}{3}x=25

In order to solve this equation for 'x', we have to isolate 'x' on the left hand side.

So, we multiply both sides by 3. This gives,

3\times \frac{x}{3}=25\times 3\\\\x=75

Therefore, there are 75 students in the football team.

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What is the length of a diagonal cube with a side length of 10cm?
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Answer:

Step-by-step explanation:

diagonal=\sqrt{10^2+10^2}

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diagonal=14.1421356

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3 years ago
If a regression analysis shows an R factor of 0.15, it is safe to assume a perfect positive relationship between cost and volume
saw5 [17]

Answer:

a very weak relationship between cost and volume

Step-by-step explanation:

The R factor is used to access the strength of the relationship between a dependent and independent variable. The R factor ranges between - 1 and 1. With negative values depicting a negative linear relationship and positive values meaning a positive relationship. The closer the R factor is to - 1 or + 1, the greater the strength, a value of 0 means, no correlation exists.

Hence, a R factor of 0.15 depicts a positive but very weak relationship between cost and volume as the R value is close to 0.

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2 years ago
2x^3-3x^2-11x+6 divide by x-3
Alexxx [7]

Answer: 2x^2+3x-2

Step-by-step explanation:

You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do \frac{2x^3}{x}=2x^2. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6

Now do \frac{3x^2}{x} =3x. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6

Your final step is to do \frac{-2x}{x} =-2. Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

2x^2+3x-2 times

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