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Elena L [17]
3 years ago
5

Anothony went out to eat dinner, and the meal cost $50.00. of Anthony received a 15% discount, what was th3 toy value of the dis

count?which one is right answers : A) 7.50 B)8.50 C)11.50 D)12.00
Mathematics
1 answer:
hammer [34]3 years ago
8 0
A) $7.50

Here's a simple 15% calculation trick:
First, take 10% of the number. We can do this by moving the decimal place to the right by one, so we take 50.0 and get 5.00. Then, we take half of that value, which is 2.5, and add them together to get 7.5, so $7.50 discount.
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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
Solve for x in the diagram below.<br> 3x<br> 75°<br> T =
leva [86]
Answer:
3x+75=180
3x=180-75
3x=105
x=105/3
x=35
7 0
3 years ago
Read 2 more answers
I need help figuring this question out
Marysya12 [62]
ANSWER: (4,26)
Comment below if you have any questions or want an explanation:
7 0
3 years ago
Judiyah is the proud new owner of a chair making business. She makes custom wood chairs. She sells her custom chairs for
KatRina [158]
$90

50 for rent and equipment, 30 for wood and materials, 10 for delivery

50 + 30 + 10 = $90
4 0
3 years ago
You and three friends go out to dinner. The cost of the dinner was $112.80. You leave an 18% tip. How much is your tip?
34kurt

Answer:

Bill

112.80

Tip %

15%

Number of people

4

Tip

per person

$4.23

Total

per person

$32.43

Step-by-step explanation:

4 0
3 years ago
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