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pickupchik [31]
2 years ago
5

Rina Boutique advertises a discount of $ 54.72 on sandals. If the discount is 33.5 %,

Mathematics
1 answer:
Scrat [10]2 years ago
4 0
About $73.05 or $73; multiply .335 with $54.72 then add that answer to $54.72
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You are fundraising for the schools track team by selling clothing. The first day, you sell 13 t-shirts and 17 pairs of shorts f
Anastasy [175]

Answers:

one t-shirt costs  $10

one pair of shorts costs  $15

============================================================

Explanation:

x = cost of one t-shirt

y = cost of one pair of shorts

13x+17y = 385 is the first equation because 13x represents the money you get from selling 13 shirts, and the 17y represents the amount you get from selling 17 shorts. The total 13x+17y is given to be $385

The second equation is 13x+12y = 310 for similar reasoning, but this time you sell 12 shorts this time and you get $310 in revenue.

The system of equations we have is:

\begin{cases}13x+17y = 385\\13x+12y=310\end{cases}

There are a few ways to solve this system. Possibly the quickest method is to note that the 13x shows up twice, so we can subtract straight down to eliminate the x terms

So,

  • 13x-13x becomes 0x or just 0, and the x terms go away.
  • 17y-12y becomes 5y
  • 385-310 becomes 75

After those three subtractions, we have the equation 5y = 75 which solves to y = 15 after dividing both sides by 5. This means the cost of one pair of shorts is $15

Plug this y value into any equation involving x and y, and solve for x

13x+17y = 385

13x+17(15) = 385

13x+255 = 385

13x = 385-255

13x = 130

x = 130/13

x = 10

Therefore, each t-shirt costs $10

-----------------

To help verify the answer, plug (x,y) = (10,15) into each equation. We should end up with a true result after simplifying both sides.

Start with the first equation

13x+17y = 385

13(10)+17(15) = 385

130+255 = 385

385 = 385

We get a true result which confirms the first equation.

Repeat for the second equation.

13x+12y = 310

13(10)+12(15) = 310

130+180 = 310

310 = 310

Both equations are true so (x,y) = (10, 15) has been fully confirmed.

6 0
2 years ago
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenth place.
kap26 [50]

Answer: 68.1

Step-by-step explanation:

The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:

Area=\pi r^2/2

Area=\pi (3)^2/2=9\pi /2

The area of a rectangle is the length multiplied by the width:

Area=l*w

Area=6*9=54

The net area is the sum of the rectangle and the semi-circle:

Area=(9\pi /2)+(54)=68.1

8 0
2 years ago
What is the value of x? Round your answer to the nearest tenth if necessary.
katen-ka-za [31]

So to start off:

The equation you will want to use for the hypotenuse is

A (squared) + B (squared) = C (squared)

So you will want to fill in the equation like so:

7(7) + 4(4) = C (squared)

So now that you have your information filled out, put it all together!

49 + 16 = 65

Now don't forget that the 65 is SQUARED!

You will want to use the SQUARE ROOT method to help with that!

So what you will want to do is think of the numbers that are PERFECT SQUARES.

A perfect square consist of

Here is the list of perfect squares 1-10:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

So look closely at these perfect squares, Do you see where 65 will lie?

It will lie between 8 and 9.

So you will do the square root now.

√65

The answer will come out as:

<span>8.06225775</span>

<span>You will then round it to the nearest tenths place (one after the decimal)</span>

You will look at the two numbers behind the decimal which is

0.6.

As you know,(If you round the tenths place), if the number in the hundredths is 5 or HIGHER. It will round up the number in the tenths place to 1.

So as we know 6 is higher than 5 so your answer would be:

8.1

I hope this helped! :)

>^.^<

(      )~


3 0
3 years ago
Read 2 more answers
Lynn was shopping and found a purse that was marked with a discount of 1/3 off if the original cost of the purse was $80 how muc
sdas [7]

The amount paid by Lynn is $ 53.33

<em><u>Solution:</u></em>

Given that, Lynn was shopping and found a purse that was marked with a discount of \frac{1}{3} off

Original cost of purse = $ 80

<em><u>To find: Amount paid by Lynn</u></em>

Discount = \frac{1}{3} \text{ of original price }

Therefore, discount price is given as:

\text{ Discount } = \frac{1}{3} \times 80 = 26.67

Thus discount price = $ 26.67

<em><u>Amount paid by Lynn:</u></em>

Amount paid = original price - discount price

Amount paid = 80 - 26.67 = 53.33

Thus amount paid by Lynn is $ 53.33

5 0
3 years ago
What is the solution of the proportion 14/12=d/48
swat32
Cross multiplication is applied here.

7 0
3 years ago
Read 2 more answers
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