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3 years ago

A copy machine makes 32 copies per minute. how many copies does it make in 4 minutes and 45 seconds?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

7 0

152

Step-by-step explanation:

45 seconds = 45/60 minutes = 3/4 minutes . Number of copies = 4*32 + (3/4)*32 = 128 + 24 = 152

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What is the value of y ? <br> y=-2x+4?

sineoko [7]

Answer:

y = 4 + -2x

Step-by-step explanation:

Simplifying

y = -2x + 4

Reorder the terms:

y = 4 + -2x

Solving

y = 4 + -2x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 4 + -2x

4 0

4 years ago

The numerator of a fraction is 5 more than its denominator.

alex41 [277]

Answer: x= -(1/2)

Step-by-step explanation:

(x+5 +3) / x+3 = 3

Multiply both sides by (x+3)

(x+8)= 3(x+3)

x+8 = 3x+9

-2x = 1

x= -1/2

CHECK:

-1/2 +8 = 15/2 -1/2+3 =5/2

15/2 : 5/2 = 15/2*(2/5) = 30/10 = 3

8 0

3 years ago

If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A'

Anastaziya [24]

Answer:

Center of dilation → (0, 0)

Step-by-step explanation:

Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

If this triangle is dilated by a scale factor of 'k' about the origin,

Rule for the dilation is,

(x, y) → (kx, ky)

If vertex A is dilated by a scale factor of 3 about the origin,

A(3, 6) → A'(3×3, 3×6)

→ A'(9, 18)

Therefore, center of dilation is origin (0, 0).

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3 years ago

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Angelina_Jolie [31]

Complete the square by using the following form:
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$y = (x^2 -6x) +16 \\ \\ y = (x^2 -6x+9) + 16 - 9 \\ \\ y = (x-3)^2 + 7$

The vertex is at (3,7)
The squared term is positive so it opens up and vertex is a minimum.

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3 years ago

Read 2 more answers

The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible val

Anna71 [15]

The answer is D. Because if it's 5x the width then make length 5x and width x so 12x because two lengths and two widths makes it 12x=96 divide and you get x=8 which means width is 8 cm

3 0

4 years ago