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Ilya [14]
3 years ago
12

A shirt originally cost $42.39, but it is an sale for $38.15. What is the percentage decrease of the price of the shirt? If nece

ssary,
round to the nearest percent.
A 90%
OB. 8%
C. 10%
D
11%
Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0
C. 42.39 times 0.1 is 4.239. 42.39-4.239= 38.151 which rounds to 38.15
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A local artist working at the town fair makes caricatures and portraits. The caricatures cost $4 to make white
il63 [147K]

Answer:

The artist should make 15 caricatures and 30 portraits.

Step-by-step explanation:

First, we identify the variables for the problem. In this case, the variables will be:

C=number of caricatures

P= number of portraits.

Next, we can use the variables to make the inequalities that constrain the problem.

We know the artist can't spend more than $360 for supplies and we also know that it costs $4 to make a caricature and $10 to make a portrait, so:

4C+10P\le 360

We also know the artist has a limit of time of 20 hours, which is the same as 20*60=1200 minutes to paint. We know it takes her 20 minutes to make a caricature and 30 minutes to make a portrait, so:

20C+30P\le 1200

and we also know she must make a positive number of caricatures and a positive number of portraits so the other two constrains are:

C\ge 0

P\ge 0

So we can go ahead and graph them. (see attached picture)

Once we graphed the inequalities we can determine what the corners of the polygon created by the intersection of the shaded areas are, so we proceed and calculate them:

first point:

(0,0)

second point:

4(0)+10P=360

P=\frac{360}{10}

P=36

(0,36)

Third point:

20C+30(0)=1200

C=\frac{1200}{20}

C=60

(60,0)

Fourth point:

4C+10P = 360

20C+30P = 1200

We multiply the first equation by -5 so we get:

-20C-50P=-1800

20C+30P=1200

------------------------

-20P=-600

P=30

so:

20C+30(30)=1200

20C=1200-900

20C=300

C=15

(15,30)

Once we found the 4 points, we go ahead and evaluate them for the objective function. In this case, the objective function is the total amount of money she got from selling the pieces of art, so we get:

I=10C+20P

Point 1

I=10(0)+20(0)=0

Point 2

I=10(0)+20(36)=720

Point 3

I=10(60)+20(0)=600

Point 4

I=10(15)+20(30)=750

Next, we look for the greatest income which in this case will be 750 so that's why she must make 15 caricatures and 30 Portraits.

8 0
3 years ago
Its line segment please
joja [24]

Answer:

A) 29

Step-by-step explanation:

DG = GJ

GJ = DG = 4x + 17

DJ = DG + GJ

11x + 25 = 4x + 17 + 4x + 17

11x + 25 = 4x + 4x + 17 + 17    {Combine like terms}

11x + 25 = 8x + 34

Subtract 25 from both sides

11x = 8x + 34 - 25

11x = 8x + 9

Subtract 8x from both sides

11x - 8x = 9

3x = 9

Divide both sides by 3

x = 9/3

x = 3

DG =  4x + 17

     = 4*3 + 17

    = 12 + 17

DG = 29

6 0
3 years ago
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The perimeter of the rectangle is 64 cm. Find the value of x.
marin [14]
2(11 + 3x) = 64
11 + 3x =64/2
11 + 3x = 32
3x = 32 - 11
3x = 21
x = 21/3
x = 7

A.
4 0
3 years ago
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Solve for x:<br> Need help with this problem.
rusak2 [61]

The sum of all angles in a triangle is equal to 180.

75 + 70 + 5 + 3x = 180

150 + 3x = 180

3x = 180 - 150

3x = 30

x = 10

Third angle:

5 + 3(10)

35

4 0
3 years ago
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What is the value of 14-a^{2} given a=-3?
BlackZzzverrR [31]

Answer:

answer is d

work is pictured

8 0
2 years ago
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