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3 years ago

5

There are 80 students in the sixth grade at mountain middle school. 64 of these students play sports. What percent of the studen

ts play sports?

2 answers:

I am Lyosha [343]3 years ago

6 0

Answer:
80%
Explanation:
80÷64= 0.8
0.8 = 80% = 80/100
we can see that our fraction is 80/100, which means that 64/80 as a percentage is 80%.

Luba_88 [7]3 years ago

3 0

Answer:

80%

Step-by-step explanation:

80÷64= 0.8

0.8 = 80%

You just need to divide the number of students that play sports by the total number of students and you'll get your answer

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A fishing supply store buys fishing rods for $11 and sells them at a markup of 220%. One day, they decide to put

allsm [11]

The answer is: $28.16

A markup of 220% would bring 11 to 35.20, and a mark down of 20% would bring 35.20 to 28.16.

Your'e Welcome (ФДФ) .

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3 years ago

Read 2 more answers

What is the slope of the line containing (-3, 1) and (1, -2)?

Dmitry_Shevchenko [17]

$\textbf{Heya !}$

<u>use the slope-formula:-</u>

<u />

<u /> $\sf{\cfrac{y2-y1}{x2-x1}}$

<u>put-in the values</u>

<u />

<u /> $\sf{\cfrac{-2-1}{1-(-3)}}$

$\sf{\cfrac{-3}{1+3}}$

$\sf{\cfrac{-3}{4}$

$\sf{-\cfrac{3}{4}}$

<u>`hope it's helpful to u ~</u>

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2 years ago

-6x+y=8<br> 5x+y=8 <br><br> using elimination method

asambeis [7]

Answer:

x=0, y=8. (0, 8).

Step-by-step explanation:

-6x+y=8

5x+y=8

-----------

-6x+y=8

-(5x+y)=-8

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

-6x+y=8

-5x-y=-8

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-11x=0

x=0/-11

x=0

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7 0

3 years ago

Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo

lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e.a)=(1+r(e.week))^{52} -1$

$r(e.a)=(1+0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

$r(e.a)=(1+r(e.month))^{12} -1$

$r(e.a)=(1+0.00786833)^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0

3 years ago

Read 2 more answers

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

AlekseyPX

Answer:

$\frac{5\sqrt{2} }{2}$

Step-by-step explanation:

$x: \text{opposite side of the angle of 45\º}$

$5: \text{hypotenuse of the right triangle}$

$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5}$

$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2}$

$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2}$

You can just remember that 5 is the diagonal of a square of side length x.

$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}$

5 0

4 years ago