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3 years ago

The sum of two consecutive even integers is 66. Find the numbers.

1 answer:

4 0

Let the consecutive even numbers be n and n+2.
From given condition,
n + n+2 = 66
2n = 64
∴ n = 32.
Therefore, the two consecutive even numbers are.
n = 32 and n+2 = 34.

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There are 72 girls and 60 boys waiting to see A play in the school auditorium. They are seated in rows in the auditorium with th

borishaifa [10]

To answer this problem you first find the GCF (Greatest common factor) between 60 and 72, which is 12. Next, to find how many rows of girls there are you divide 72 by 12. You get 6. There are 6 rows of girls. Next, you divide the number of boys which is 60 by twelve to find how many rows of boys there are and you get 5. there are 5 rows of boys.

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3 years ago

Read 2 more answers

A line segment has endpoints Q(-16, -12) and R(21, -8).

gulaghasi [49]

Answer:

(2.5, - 10 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

here (x₁, y₁ ) = (- 16, - 12 ) and (x₂, y₂ ) = (21, - 8 ) , then

midpoint = ( $\frac{-16+21}{2}$ , $\frac{-12-8}{2}$ ) = ( $\frac{5}{2}$ , $\frac{-20}{2}$ ) = (2.5, - 10 )

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1 year ago

Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

o-na [289]

Answer:

$\sqrt{2} a$

Step-by-step explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression $\sqrt{(x1-x2)^2+(y1-y2)^2}$

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

$distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a$

Thus , expression $\sqrt{2} a$ gives the distance between point (0, a) and point (a, 0) on a coordinate grid.

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3 years ago

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A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 140 lb and each bo

Stells [14]

Answer:

21 boxes of books

Step-by-step explanation:

guy= 140 lbs

each box= 40lbs elevator can only weigh up to 1010

i took 1010- 140 and got 870lbs left for the books

then i took 870 divided by 40 (to see how many boxes of books can be put on the elevator) and got 21.75

so 21 boxes could go on the elevator at a time

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2 years ago

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77julia77 [94]

Answer:

This is quite simple when you consider it. go to -4 on the x axis and find where it goes on the y which in this case is 1. so the output for y is 1

Step-by-step explanation:

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2 years ago