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3 years ago

Estimate and then find the quotient. Use your estimate to check for reasonableness Find quotient 587÷31

Mathematics

1 answer:

Phantasy [73]3 years ago

3 0

Answer:

18.9354 =18.94

Step-by-step explanation:

Simply divide 587 and 31

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Find the value of PR if Q is between P and R<br> when PQ=25, PQ=2x+1, and QR=x.<br> X<br> ат<br> X=8

Eva8 [605]

Answer:

$PR = 37$

Step-by-step explanation:

Given

$PQ = 25$

$PQ = 2x +1$

$QR = x$

Required

Since Q is between the given points, then:

$PR = PQ + QR$

This gives:

$PR = 2x + 1 + x$

Collect like terms

$PR = 2x + x+ 1$

$PR = 3x + 1$

Next, solve for x

We have:

$PQ = 25$

$PQ = 2x +1$

This gives:

$2x + 1 = 25$

Collect like terms

$2x = 25 -1$

$2x = 24$

Divide by 2

$x = 12$

So:

$PR = 3x + 1$

$PR = 3 * 12 + 1$

$PR = 37$

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2 years ago

Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship be

o-na [289]

Answer:

10 people,200 dollars. 20 people,400 dollars.100 people,2000 dollars.300 people,6000 dollars.

6 0

3 years ago

Is 25% of a whole always the same amount ?

wel

Answer:

Not, will be the same proportion but the amount vary depending the specific case.

Best regards

6 0

3 years ago

Read 2 more answers

The table shows information about some children.

Sindrei [870]

Answer:

$P(Age\ 12) = \frac{2}{3}$

Step-by-step explanation:

Given

Age 11 Age 12 Total

Girls 3 5 8

Boys 1 3 4

Required

$P(Age\ 12)$

The number of aged 12 children is:

$Age\ 12 = 5 + 3$

$Age\ 12 = 8$

The total number of children is:

$Total=8+4$

$Total = 12$

So, we have:

$P(Age\ 12) = \frac{Age\ 12}{Total}$

$P(Age\ 12) = \frac{8}{12}$

Simplify

$P(Age\ 12) = \frac{2}{3}$

3 0

3 years ago

A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other

Sonbull [250]

Answer:

The lengths are

8 + 8[root]3 , 12 + 8[root]3 and 20 + 8[root]3.

Step-by-step explanation:

Let the side against the barn be xft

We were told that the adjacent side is 4ft more than the side against the barn. This means it has a length of (x + 4)ft.

Lastly, we are told that the hypotenuse is 8ft longer than the side along the barn I.e (x + 4 + 8)ft = ( x + 12)ft.

Since the three lengths form a triangle, the square of the hypotenuse equals the square of the adjacent side plus the square of the opposite side. This is the pythagoras' theorem.

Mathematically, this can be written as follows:

(x + 12)^2 = x^2 + (x + 4)^2

This yields x^2 + 24x + 144 = x^2 + x^2 + 8x + 16

x^2 + 24x + 144 = 2x^2 + 8x + 16

Rearranging this will yield:

x^2 - 16x - 128 = 0

Using the quadratic formula yields the following values for x :

8 - 8[root]3 and 8 + 8[root 3]

Since the first is negative, we discard it and the only correct value of x is 8 + 8[root]3

Now the other length is 12 + 8[root]3 and 20 + 8[root]3.

4 0

3 years ago

Read 2 more answers

Estimate and then find the quotient. Use your estimate to check for reasonableness Find quotient 587÷31​

Estimate and then find the quotient. Use your estimate to check for reasonableness Find quotient 587÷31