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astra-53 [7]
1 year ago
6

abercrombie & Fitch is having a sale. The sign posted in the store says, "everything is marked down 65%." Scott buys a jacke

t that was originally cost $150.a) how much does Scott pay for the jacket after the markdown?b) if there is a 5% sales tax charged, what is the total cost of the jacket?
Mathematics
1 answer:
nikdorinn [45]1 year ago
5 0

a) We have that the discount is 65 %

Scott buys a jacket for $150

First, we will calculate the discount

150\times\frac{65}{100}=97.5

then we need to subtract the quantity calculated above from the original price

150-97.5=52.5

After the markdown Scott paid $52.5

b.

In order to know the taxes first, we need to calculate the 5% of $52.5

52.5\times\frac{5}{100}=2.625

then we will sum the 5% plus the price after the markdown

52.5+2.625=55.125

The total cost of the jacket is $55.125

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if twenty percent of the students play in the band and the band has forty members, how many students are there?
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The total amount of students are 200
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6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
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Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

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3 years ago
The Moores paid $6 more for skate rentals than the cotters did. Together the Two families paid $30 for skate rentals. How many p
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8 0
4 years ago
Read 2 more answers
Extension question (provide a full explanation of your method(s):
Volgvan

Answer:

Ann has little chance to win if she is presented with 4 counters.

Ann can always win from a pile of 6 counters.

(both are explained below)

Step-by-step explanation:

If Ann  is presented with 4 counters, and

1. if she takes out 3, she will lose since the opponent will  pull out 1 and the last one.

2. if she takes 2 her opponent will take out 1 and she can't pull out the last 1 since her opponents last move was to pull out 1  counter so she will lose.

3. If she takes out 1 and her opponent takes out 3 in the next move she loses.

but if instead of 3 her opponent takes out 2 and in the last move Ann takes out the last 1  then she will win.

So, If Ann is presented with 4 counters she has little chance to win provided in the move just before, her opponent didn't move 1 counter.

Now,

if there is 6 counters to Ann, and

1., if Ben's  previous move was 1 then Ann can win if she takes out 3 or 2.

If she takes out 3 Ben can take out 1 or 2 and in the last move she will take out 2 or 1 (respectively) and winning the game.

If she takes out 2 Ben can  take out 1 or 3 and in the last move Ann wins by pulling out 3 or 1 respectively.

2. if Ben's  previous move was 2 then Ann can win if she takes out 1 or 3.

If she takes out 1 Ben can take out 2 or 3 and in the last move she will take out 3 or 2(respectively) and winning the game.

If she takes out 3 Ben can  take out 1 or 2 and in the last move Ann wins by pulling out 2 or 1 respectively.

2. if Ben's  previous move was 3 then Ann can win if she takes out 1 or 2.

If she takes out 1 Ben can take out 2 or 3 and in the last move she will take out 3 or 2(respectively) and winning the game.

If she takes out 2 Ben can  take out 1 or 3 and in the last move Ann wins by pulling out 3 or 1 respectively.

 

 

7 0
4 years ago
Can someone please help me answer these 6 questions?
Mamont248 [21]
1) 19.25

2) 12.92

3) 25.20

4) 19.68

5) 77.05

6)81.67
8 0
4 years ago
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