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gavmur [86]
3 years ago
11

A department store sells logo shirts at an original price of $20.

Mathematics
1 answer:
Mashutka [201]3 years ago
8 0

Answer:

Answer is below.

Step-by-step explanation:

Macy forgot that a discount of 25% means the cost is multiplied by 75%.

Take the original price of the shirt, $20, times 75% for each month and times 50% for the employee discount.

20 x 0.75 x 0.75 x 0.50 = $5.63 is the price of the shirt for the employees using all of the discounts.

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The answer is
-  \frac{2}{5}
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L=a+(n-1)d <br><br> solve for n
earnstyle [38]

Answer:

(L-a)/d + 1 = n

Step-by-step explanation:

Let's isolate (n-1), and after that isolate n:

1) subtract a from both sides:  L - a = (n-1)d

2) Divide both sides by d:  (L-a)/d = n-1

3) Add 1 to both sides, to isolate n:            (L-a)/d + 1 = n

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5x + y = 11<br>4x + y = 9​
erma4kov [3.2K]
The first one is -5
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4 0
3 years ago
Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.
Alex73 [517]

Answer:

3x+5y

Step-by-step explanation:

Subtract (6x-3y) from (9x+2y):

(9x+2y)-(6x-3y)

This can also be seen as:

(9x+2y)-1(6x-3y)

Distribute the -1 to (6x-3y):

(9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y

Simplify the parentheses:

9x+2y-6x+3y

Group like terms:

(9x-6x)+(2y+3y)

Combine:

3x+5y

This expression can't be further simplified. Therefore, 3x+5y is the answer.

:Done

6 0
3 years ago
The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
Zepler [3.9K]

The volume of the hopper bin is the amount of feed in it

  • The volume of the hopper bin is 35974 cubic feet
  • The carnival tent can be filled to 85% of its volume and not exceed the weight limit

<h3>The volume of the hopper bin</h3>

The given parameters are:

  • Height of cylinder, H = 20 ft
  • Diameter of cylinder, D = 36 feet
  • Angle, θ = 52°

Start by calculating the radius (r) of the cones.

r = D/2 -------- because the cones and the cylinder have equal diameters.

So, we have:

r = 36/2 = 18

The height (h) of the cones is:

tan(θ) = h/r

This gives

tan(52) = h/18

Make h the subject

h = 18 * tan(52)

Evaluate

h = 23.04

The volume is then calculated as:

Volume = Volume of cylinder + 2 * Volume of cone

This gives

Volume = πr^2H + 2 * 1/3πr^2h

Volume = πr^2H + 2/3πr^2h

Factor out πr^2

Volume = πr^2(H + 2/3h)

Substitute known values

Volume = 3.14 * 18^2 * (20 + 2/3 * 23.04)

Evaluate

Volume = 35973.85 cubic feet

Hence, the volume of the hopper bin is 35974 cubic feet

<h3>The weight limit of the hopper bin</h3>

The given parameters are:

  • Maximum weight = 500000 pounds
  • Feed weight = 22 pounds per cubic feet

For a feed that weighs 22 pounds per cubic feet, the weight of the hopper bin would be:

Weight = 22 * 35974 pounds

Weight = 791428 pounds

At 85% full, the weight wuld be:

Weight = 85% * 791428 pounds

Weight = 672713.8 pounds

672713.8 pounds is greater than the weight limit of 500000 pounds.

Hence, the carnival tent can be filled to 85% of its volume and not exceed the weight limit

Read more about volumes at:

brainly.com/question/3989169

4 0
2 years ago
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