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melisa1 [442]
3 years ago
7

Community population had increased 13% from 1980 to 2000. If the population in 1980 was 1200, what was the population in 2000?

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer: 1,356

Step-by-step explanation:

It is 1200 increased by 13%

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A sample of students is taken from the school's A honor roll. The school estimates that there are actually 360 students on the A
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Answer:

Number of 8th Graders = 360 - X

Step-by-step explanation:

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from 8th grade.

As we know:

Total number of students on the A honor roll = 360

We are asked to calculate, number of students from 8th grade on the A honor  roll.

So, let's assume that "X" represents the all the students who are on the A honor roll except 8th grade.

Mathematical Expression:

Number of 8th Graders = Total number of students on the A honor roll - X

Number of 8th Graders = 360 - X

So, if you know the value of X, you can easily calculate the number of students which are from 8th grade on the A honor roll.

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4. What is the percent of 88 is 33?
IRISSAK [1]
33 = 88x
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6 0
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Grayson goes to BestBuy to buy a computer for $499, a mouse for $19.99, and a cable cord for $8.99. Grayson buys this on credit
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Answer:

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Step-by-step explanation:

499 + 19.99 + 8.99 = 527.98

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Cos^2x+4cosx+4/cosx+2=2secx+1/secx
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Answer:

\frac{\cos^2x+4\cos x+4}{\cos x+2}=\frac{2\sec x+1}{\sec x}

Step-by-step explanation:

To prove the given identity, we solve the left hand side and right hand side expressions and show that they are equal.

So we get\frac{2\sec x+1}{\sec x}\\\\=\frac{2\sec x}{\sec x}+\frac{1}{\sec x}\\\\= 2+\cos x\\\\\text{since the left hand side and right hand side expression are same, so}\\\text{it verifies the identity.}

\text{Left hand side}=\frac{\cos^2x+4\cos x+4}{\cos x+2}\\\\\text{Here observe that the numerator is a perfect square using }\\a^2+2ab+b^2=(a+b)^2\\\text{so we get}\\\\=\frac{(\cos x+2)^2}{\cos x+2}\\\\\text{now we can cancel out one factor (cos x+2) from numerator and denominator.}\\\text{so we get}\\\\=\cos x+2\\\\\text{And similarly the right hand side gives}

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