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s344n2d4d5 [400]
3 years ago
7

What is this percent of change 40;72

Mathematics
1 answer:
salantis [7]3 years ago
6 0
Given:
Original or base : 40
New amount : 72

We need to find the difference of the new amount and the original amount

72 - 40 = 32

We then divide the difference by the original amount

32/40 = 0.80

We multiply the quotient by 100%

0.80 x 100% = 80%

The percentage of change is 80%
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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
blagie [28]
A.
5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0

B.
3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\hbox{add 12 to both sides} \\
x=11
3 0
2 years ago
The system of equations has no solution:<br> y=2/3x-5<br> 4x - 6y = 30<br> true or false?
Serjik [45]

1. y = 2/3x - 5

2. 4x - 6y = 30

Divide 2. by 2

3. 2x - 3y = 15

Substitute 1. into 3.

4. 2x - 3(2/3x - 5) = 15

5. 2x - 2x + 15 = 15

6. 15 = 15

False. There are an infinite number of solutions.

3 0
2 years ago
Centroid of triangle with vertices (0,0) ,(3,0) &amp; (0,-3) is……. [ ]
Firdavs [7]

Answer:

b

Step-by-step explanation:

centroid

x=(x1+x2+x3)/3=(0+3+0)/3=3/3=1

y=(y1+y2+y3)/3=(0+0-3)/3=-3/3=-1

centroid =(1,-1)

3 0
2 years ago
Read 2 more answers
Solve this inequality for x.<br><br> 81 - 1 1/5x &lt;_ 55
dsp73

Answer:

(61. 8181..., ~)

Step-by-step explanation:

-11/5x<-136

x>680/11

x>61. 8181...

6 0
3 years ago
Is this right please help me Is this right please help me
saw5 [17]
Yes you are correct
7 0
2 years ago
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