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Jet001 [13]
3 years ago
8

Which step did emily make an error in?

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

E. Step 3

Step-by-step explanation:

Step 2:

2x + 18 = 4x + <u>28 + 2</u>

Step 3:

2x + 18 = 4x + <u>26</u>

She subtracted instead of adding (see bold and underline)

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There are 75 students in the eight grade 45 of those take a music class. the rest of the students have art.what percent Take art
damaskus [11]

Answer:

40%

Step-by-step explanation:

To find the number of students that take art, we need to find the difference between the number of students in the whole grade and the number of students who take art, that is 75 and 45, respectively. The answer to that is 30 students. Next, we find what percent represents the number of students who take art in relation to the total number of students in the grade. This can be represented by the fraction 30/75. When you simplify, you get 0.4 which is also known as 40%. Therefore 40% of the students take art. Hope this helps:)

7 0
3 years ago
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:

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

<em />

<em>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).</em>

<em />

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

<em />

<h2><em>Solution</em></h2>

<em />

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.

<u>1. Area of the big rectangle</u>

Vertices:

  • <em>(- 4, 4) </em>
  • <em>(4, 4)</em>
  • <em>(4, -4)</em>
  • <em>(-4, -4)</em>

<em />

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

<u>2. Area of the small square</u>

Vertices:

  • <em>(-3, -2)</em>
  • <em>(- 2, 2) </em>
  • <em>(2, 1)</em>
  • <em>(1, -3)</em>

<em />

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

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

<u />

Find the difference:

<u />

         64unit^2-17unit^2=47unit^2

<em />

7 0
3 years ago
Read 2 more answers
Which of the following is the equation of a circle whose center is at the origin and whose radius is 4?
leva [86]

Answer:

x²+y²=16

Step-by-step explanation:

the general equation for a circle is given as :

(x−h)²+(y−k)²=r²

where (h, k) is the coordinate of the center of the circle and r is the radius

in this case h=0, k=0 and r = 4

equation becomes

x²+y²=4²

or

x²+y²=16

4 0
3 years ago
Read 2 more answers
If a roll of painter's tape contains 14 feet of tape, what is the maximum number of 1.75-foot pieces that can be cut from the ro
Dafna11 [192]
Answer is c 8
8*1.75=14
3 0
2 years ago
PLEASE HELP! all u have to do is determine whether it is positive or negative!!!
Sever21 [200]

Answer:

positive

Step-by-step explanation:

6 0
2 years ago
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