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NARA [144]
2 years ago
12

A clothing store is having a sale. Last week, a coat originally priced at $110 and was discounted by 45%. This week, the coat wa

s discounted by 30% of last weeks sale price. What is the price of the coat after the second discount is applied
Mathematics
1 answer:
Neko [114]2 years ago
7 0

Answer:

The price of the coat after the second discount is applied is $42.35.

Step-by-step explanation:

First, you need to find the amount after the first discount by multiplying the original price by 45% and subtracting that amount from the initial price:

$110*45%=$49.5

$110-$49.5=$60.5

Now, you have to find the price of the coat after the second discount by calculating 30% of the price after the first discount and subtracting the result from that price:

$60.5*30%=$18.15

$60.5-$18.15=$42.35

According to this, the answer is that the price of the coat after the second discount is applied is $42.35.

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Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in
Luda [366]

ANSWER: 32 five-dollar bills

======

EXPLANATION:

Let x be number of $5 bills

Let y be number of $10 bills

Since we have total of 38 bills, we must have the sum of x and y be 38

x + y = 38 (I)

Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):

5x + 10y = 220 (II)

System of equations:

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ 5x + 10y &= 220 && \text{(II)} \end{aligned} \right.

Divide both sides of equation (II) by 5 so our numbers become smaller

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ x + 2y &= 44 && \text{(II)} \end{aligned} \right.

Rearrange (I) to solve for y so that we can substitute into (II)

\begin{aligned} x + y &= 38 && \text{(I)} \\ y &= 38 - x \end{aligned}

Substituting this into equation (II) for the y:

\begin{aligned} x + 2y &= 44 && \text{(II)} \\ x + 2(38 - x) &= 44\\ x + 76 - 2x &= 44 \\ -x &= -32 \\ x &= 32 \end{aligned}

We have 32 five-dollar bills

======

If we want to finish off the question, use y = 38 - x to figure out number of $10 bills

y = 38 - 32 = 6

32 five-dollar bills and 6 ten-dollar bills

7 0
3 years ago
I'f a chef cooked 8 kilograms the guests ate 6/8 how much did they eat
Nadya [2.5K]
6 kilograms is the awnser
8 0
3 years ago
Read 2 more answers
5 1/3-3 2/4 find the difference
Vinil7 [7]

Answer:

1 10/12

Step-by-step explanation:

Take the fractions and get them to the same bottom number, 12.  So it would be 5 4/12 -  3 6/12.

Take 1 away from 5 to get 4 and the one you pulled would be 12/12(also equal to 1).  4  16/12 - 3  6/12 would be 1  10/12

8 0
3 years ago
M angle PQS= 3x; m angle SQR=5x-20 <br> Find x
Dahasolnce [82]

Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.

Given:

Ray QS bisects ∠PQR.

m∠PQS = 3x

m∠SQR = 5x-20

To find:

The value of x and m∠PQR

Solution:

Ray QS bisects ∠PQR. So,

m\angle PQS=m\angle SQR

3x=5x-20

3x-5x=-20

-2x=-20

x=10

The value of x is 10.

Now,

m\angle PQR=m\angle PQS+m\angle SQR

m\angle PQR=3x+5x-20

m\angle PQR=8x-20

Put x=10,

m\angle PQR=8(10)-20

m\angle PQR=80-20

m\angle PQR=60

Therefore, the m∠PQR is 60 degrees.

5 0
3 years ago
Which expression is not equivalent to 6^3/6^6
vovangra [49]

Answer:

C

Step-by-step explanation:

The answer is C

8 0
2 years ago
Read 2 more answers
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