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3 years ago

Which equation shows how to use equivalent fractions to evaluate 4/5-2/3

1 answer:

8 0

B

Equivalent fractions are made when you multiply both the top (numerator) and the bottom (denominator) of the fraction by the same number. The only choice that is correct here is B.

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What is the area of the piece of red paper after the hole for

MakcuM [25]

Answer:

$\large\boxed{\large\boxed{47unit^2}}$

Explanation:

The complete question is:

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.

On a coordinate plane, 2 squares are shown. The photograph has points (-3, -2), (- 2, 2), (2, 1), and (1, -3). The red paper has points (- 4, 4), (4, 4), (4, -4), and (-4, -4).

What is the area of the piece of red paper after the hole for the photograph has been cut?

<h2>Solution</h2>

The area of the piece of redpaper after the hole has been cut is equal to the area of the big square less the area of the small rectangle.

1. Area of the big rectangle

Vertices:

(- 4, 4)
(4, 4)
(4, -4)
(-4, -4)

The side length is the distance between two consecutive vertices:

The two points (-4,4) and (4,4) has the same y-coordinate, thus the length is just the absolute value of the difference of the x-coordinates:

$4-(-4)=4+4=8$

The area of this square is $(8unit)^2=64unit^2$

2. Area of the small square

Vertices:

(-3, -2)
(- 2, 2)
(2, 1)
(1, -3)

To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\ \\d=\sqrt{(2-(-2))^2+(2-1)^2}=\sqrt{4^2+1^2}=\sqrt{17}$

The area is:

$(\sqrt{17}unit)^2}=17unit^2$

3. Area of the piece of red paper after the holw for the photograph has been cut:

Find the difference:

$64unit^2-17unit^2=47unit^2$

7 0

3 years ago

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Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay.

dusya [7]

A. Linear Decreasing

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3 years ago

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According to the Food and Drug Administration, the recommended daily intake of irom is 16 mg. This is 4 less than twice the reco

Marrrta [24]

Answer:

Step-by-step explanation:

2z-4=16

2z=20

z=10

10 mg

6 0

3 years ago

Jordan Pat 6 4/5 yards of pink ribbon and 3 1/4 yards of purple ribbon how much more pink ribbon the purple ribbon did she buy?

evablogger [386]

Hello! For this question, we will have to subtract fractions. In order to do this, we will have to convert the fractions into the same denominator. We do this by finding the LCD of the two numbers. In other words, we find the LCM. The LCM of 5 and 4 is 20. 4/5 converts to 16/20, and 1/4 converts to 5/20. Let's subtract these numbers like we would regular numbers. 6 16/20 - 3 5/20 is 3 11/20. There. Jordan bought 3 11/20 yards more pink ribbon than purple ribbon.

8 0

3 years ago

150% of $22 (math test)

Rom4ik [11]

Answer:

6.8181818

Step-by-step explanation:

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3 years ago