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3 years ago

The new printer at the school is able to print 2,700 pages in 45 minutes. On average, how many pages does it print per minute?

Mathematics

2 answers:

garri49 [273]3 years ago

8 0

Answer:

It can print 60 pages per minute.

Step-by-step explanation:

You would divide 2,700 by 45, to get your answer. 2,700÷45=60. So your answer will be 60 pages per minute.

sveta [45]3 years ago

5 0

Answer:

60 pages per minute

Step-by-step explanation:

Pages : minutes

2700 : 45

X : 1

X = 2700/45

X = 60

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The sets of rational numbers and irrational numbers combine to make the (whole,real) numbers. Circle the correct term.

cupoosta [38]

The correct term would be real numbers because whole numbers only belong in rational numbers. However, real numbers include BOTH ration and irrational numbers.

4 0

3 years ago

Which of the following is true about a parallelogram? A. Opposite angles of a parallelogram are not congruent. B. Parallelograms

mafiozo [28]

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals. Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram

Given

AD || BC

From the definition of a parallelogram

AD = BC Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA

Angle-Side-Angle

BO=OD Corresponding sides in congruent triangles AO=OC Corresponding sides in congruent triangles.

5 0

3 years ago

12. Solve the following system by any method. 2x – 6y = 24 –5x + 6y = –6

elena-s [515]

2x-6y=24
-5x+6y=-6

2x=24+6y
2x-24=6y
-5x+6y=-6
6y=5x-6
2x-24=5x-6
-24+6=5x-2x
-18=3x
-18/3=x
x=-6
2x-6y=24
2(-6)-6y=24
-12-6y=24
-6y=24+12
-6y=36
y=36/-6
y=-6

7 0

3 years ago

Use the least common denominator to enter an equivalent fraction for each fraction

adelina 88 [10]

Answer:

The least common denominator of the fraction is 14

1/2= 7/14

1/7= 2/14

5 0

3 years ago

Jeffrey calculated the slope between two pairs of points. He found that the slope between -5, 6 and -3, 2 is -2. He also found t

Cerrena [4.2K]

Answer:

Jeffrey is correct

All of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between -5, 6 and -3, 2

substitute the values in the formula

$m=\frac{2-6}{-3+5}$

$m=\frac{-4}{2}=-2$

step 2

Find the slope between (-1, -2) and (0, -4)

substitute the values in the formula

$m=\frac{-4+2}{0+1}$

$m=\frac{-2}{1}=-2$

step 3

Find the slope between (-3, 2) and (0, -4)

substitute the values in the formula

$m=\frac{-4-2}{0+3}$

$m=\frac{-6}{3}=-2$

therefore

Jeffrey is correct

All of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2

8 0

3 years ago

Read 2 more answers