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zhenek [66]
3 years ago
9

Carson bought a coat for 40% off the original price, then another 15% off the discounted price. If the coat was originally $149

dollars how much did Carson pay for the coat.
Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:$75.99

Step-by-step explanation:multiply 149 by .40 to get 40% of the original price, then subtract it to get the discounted price. then multiply the discounted price by .15 and then subtract that from the discounted price to get your final price.

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Refer to the table below if needed.
lozanna [386]

Answer:

12

Step-by-step explanation:

y=c that make 0 and then i mulitply -1 to -12

then i did the opposite for 360 time -12 that 700 and then i devided and got 12

4 0
4 years ago
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On a scale drawing of a steel I- beam, the height of a beam is 2 1/2
11Alexandr11 [23.1K]

Answer:On a scale drawing of a steel I-beam , the height of the beam is 2 1/2 in. The scale is 1/4 in = 6 feet. What is the actual height of the I-beam. \(12\)

Step-by-step explanation:

5 0
3 years ago
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
Two skiers are 30 kilometers apart and head towards each other. They meet in 2 hours. If the second skier is 5 kilometers per ho
DENIUS [597]

Answer:

Speed of first skier = 5 km/h

Speed of second skier = 10 km/h

Step-by-step explanation:

Given:

Distance between skiers = 30 km

Time after which they meet = 2 hours

Second skier is 5 km/h faster than the first skier.

To find speed of each skier.

Solution:

Let the speed of first skier be in km/h =x

<em>Distance covered in km 2 hours will be = Speed\times time=x\times 2=2x\ km</em>

Speed of second skier in km/h can be given as = x+5

<em>Distance traveled by second skier after 2 hours will be = Speed\times time=(x+5)\times 2=(2x+10)\ km   [Using distribution]</em>

Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km

Thus, we have:

2x+2x+10=30

Solving for x

4x+10=30

Subtracting both sides by 10.

4x+10-10=30-10

4x=20

Dividing both sides by 4.

\frac{4x}{4}=\frac{20}{4}

x=5

Speed of first skier = 5 km/h

Speed of second skier = 5+5 = 10 km/h

8 0
3 years ago
Alex and Peter win some money and share it in the ratio 6:1. Alex gets £50 more than Peter. How much did they get altogether?
Alex Ar [27]
Alex = 6x
Peter = x

6x = x + 50
5x = 50
x = 10

Alex = £60
Peter = £10

together = £70
6 0
4 years ago
Read 2 more answers
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