MATHEMATICS HIGH SCHOOL

John, Paul, and George have a combined age of 91. Paul is 14 years younger than John. George is 6 years older than John. How old is all three gentlemen?

Answers

Answer 1
Answer: Paul is 19, John is 33, and George is 39
Answer 2
Answer:

Answer: john is 33, paul is 19, george is 39

Step-by-step explanation:

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What value of x will make this proportion true 3/29 =× /116?

Answers

3 / 29 = x / 116

29 x = 116 . 3

29 x = 348

x = 348 / 29

x = 12

hope this helps!

A fish lays brown eggs or white eggs and it likes to lay them in a certain pattern. Each brown egg is surrounded by 6 white eggs. Here there are 3 brown eggs and 14 white eggs.(a) How many eggs does it lay altogether if it lays 200 brown eggs?
(b) How many eggs does it lay altogether if it lays n brown eggs?

Answers

If it lays 200 browns eggs then it will lay 6 times more white eggs. So itll lay 1200 white eggs
I want to know the answer for the above question.

Wood floors are being refinished in an office. If the room is a square with 15 foot 6 inch sides, what will it cost to have the floor refinished at $5.98 per square foot?

Answers

$1436.70 15ft6in is 15.5ft 15.5^2*5.98 gives you the above answer

What is the equation of the line that passes through (0,-2) and has a slope of 0?

Answers

To solve for what the equation of a line is given the conditions in the question, let's put it in y=mx+b form so we can find the actual answer. First we need to fill in what m is. Because slope or m is 0, the part of the equation looks like this y=0x+b. 0 multiplied to anything is just 0. So it becomes y=0+b= y=b. Fill in what b is. Remember b is the y intercept the point they have given you in the question. So y=b becomes y=-2. The equation of the line is y=-2.

List all factor for each number 100. 65. 70

Answers

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100 .

The factors of 65 are 1, 5, 13, and 65 .

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70 .
Factors of a number are those numbers which divide a number without leaving any remainder
The factors of 65 are 1,5, 13,65 because all of these can divide 65 without leaving any remainder
The factors of 70 are 1,2,5,7,10,14,35,70 since all of them can divide 70 without leaving any remainder
The factors of 100 are 1,2,4,5,10,20,25,50,100 since all these can divide 100 without leaving any remaider

The vertices of xyz are x (1,-4)

Answers

Answer:

5. The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

6. The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

Step-by-step explanation:

If the point (x, y) translated by T → (h, k), then its image is (x + h, y + k)

#5

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (-4, -3)

∴ h = -4 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + -4, -4 + -3)

∴ X' = (-3, -7)

∵ Y' = (-2 + -4, -1 + -3)

∴ Y' = (-6, -4)

∵ Z' = (3 + -4, 1 + -3)

∴ Z' = (-1, -2)

∴ The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

#6

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (5, -3)

∴ h = 5 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + 5, -4 + -3)

∴ X' = (6, -7)

∵ Y' = (-2 + 5, -1 + -3)

∴ Y' = (3, -4)

∵ Z' = (3 + 5, 1 + -3)

∴ Z' = (8, -2)

∴ The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)
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