Please help. 20 points...........

42) According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population in

Fiesta28 [93]

Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years

3 0

3 years ago

What is the reciprical of 200 and 450

Bad White [126]

Answer:

Part a) $\frac{1}{200}$

Part b) $\frac{1}{450}$

Step-by-step explanation:

we know that

A reciprocal of a rational number $\frac{p}{q}$ is obtained by changing the numerator and denominator, so the numerator becomes the denominator and the denominator becomes the numerator obtaining $\frac{q}{p}$

Part a) we have

200

we know that

the given number can be expressed as $\frac{200}{1}$

so

changing the numerator and denominator

The reciprocal is equal to $\frac{1}{200}$

Part b) we have

450

we know that

the given number can be expressed as $\frac{450}{1}$

so

changing the numerator and denominator

The reciprocal is equal to $\frac{1}{450}$

3 0

3 years ago

An equivalent expression with a rational denominator is...

Whitepunk [10]

Given the expression,

$(8x-56x^2)/(\sqrt{14x-2})$

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.

$[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]$

If we have $(\sqrt{a})(\sqrt{a})$ , we will get $\sqrt{a^2}$ by multiplying them. And $\sqrt{a^2} = a$ .

So here in the problem, we will get,

$[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)$

Now in the numerator we have $(8x-56x^2)$ . We can check 8x is common there. we will take out -8x from it, we will get,

$-8x(-1+7x)$

$-8x(7x-1)$

And in the denominator we have $14x-2$ . We can check 2 is common there. If we take out 2 from it we will get,

$2(7x-1)$

So we can write the expression as

$[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]$

$(7x-1)$ is common to the numerator and denominator both, if we cancel it we will get,

$(-8x)(\sqrt{14x-2})/2$

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,

$(-4x)(\sqrt{14x-2})$

$(-4x)(14x-2)^(1/2)$

So we have got the required answer here.

The correct option is the last one.

4 0

3 years ago

Out of 32 students in a class five said they rode there bikes to school. Based on these results, how many of the 800 students ri

melamori03 [73]

YOu have to set a proportion or do this easy method...

5/32= 0.15625
the you multiply 0.15625 by 800 because that is what you want to find out of...

that means the answer is 125

125 ride their bike to school...

hope that helps and you give good feedback

3 0

3 years ago

Complete the sentence. 32 g≈ ___ oz

Elena L [17]

32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of weight: grams and ounces.

From there, we can say that we are asked how many ounces are there in 32 grams.

Converting grams to ounces, we must use the conversion

1 gram = 0.035274 ounces

32 grams = 32 (0.035274 ounces)

32 grams = 1.12877 ounces

To learn more about conversion: brainly.com/question/97386

#SPJ4

8 0

1 year ago