Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by $3.25. Adam paid $105 in all. How much does Sunshine Party Supply normally charge for a beach towel?

Answer:

24

Step-by-step explanation:

We have a system of equations, so we can start with the second equation:

[tex]x-y=2[/tex]

And move y to the other side to isolate x:

[tex]x=2+y[/tex]

Now we can replace x into the first equation:

[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]

Notice that we can cancel out the y squared terms:

[tex]4+4y=48\\ 4y=44\\ y=11[/tex]

Now we just need to find x by replacing y into the second equation:

[tex]x-11=2\\ x=13[/tex]

And finally, add them:

[tex]x+y=11+13\\ x+y=24[/tex]

Hope this helps.

Answer:

x= 13

y=11

x^2 - y^2 = 48        and       x - y = 2

                                           x = 2 + y

(2 + y)^2 - y^2 = 48

(2 + y) (2 + y) - y^2 = 4

(4 + 2y +2y + y^2) -y^2 = 48

4 + 4y + y^2 - y^2 = 48

4 + 4y = 48

4y = 48 -4

4y = 44

y= 44/4

y= 11

Plug y back into the original equation:

x^2 - y^2 = 48

x^2 - 11^2 = 48

x^2 - 121 = 48

x^2 = 121 + 48

x^2 = 169

The square root of 169 is 13

So x= 13

x + y

13 + 11 = 24

Answer:

1/8 + 1/4 = 3/8

Step-by-step explanation:

Answer:

84cm cubic.

Step-by-step explanation:

That is how it is done.Hope it will help.

Answer:

I think it’s x=1

Answer:

Step-by-step explanation:

x^2 + 1 = 2x

x^2 - 2x + 1 = 0

Factor (x - 1) ( x - 1)

x = 1

Answer:

y = x + 2

Step-by-step explanation:

By doing the rise over run, the slope is 1

The y - intercept is 2

You plug the numbers in the equation y = mx + b

y = x + 2

Answer:

1 = 8 and 50

2= 50 and a

Step-by-step explanation:

Therefore, the simplified form of (4m3)2 is 24m.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

27/31

Step-by-step explanation:

5pink : 1yellow

4yellow : 7blue

times the first ratio by 4 so that the yellows are equal (if that makes sense)  

20pink : 4yellow : 7blue = 31 buttons

so the total is 31 buttons alltogether

and the pink and blue buttons together = 27 buttons

so 27/31 is the probability the button is pink or blue

Answer: The slope of the line is b. 3

Answer:b

Step-by-step explanation:

Answer: 41/75 or 54.67%

Step-by-step explanation:

Buttons --- yes,  zips --- yes = 45  (compute as 150 - 37 - 45 - 23)

Buttons --- yes,  zips --- no  = 37

Buttons --- no, zips --- yes = 45

Buttons --- no, zips --- no = 23

Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75

Step-by-step explanation:

line CD, WE and BD are half of the length of CD

Answer:

$110

Step-by-step explanation:

So first you have to do 15*4. We get the 4 from the admission fees and the 15 from the number of dances they attend. From this answer we can see the total of money they will be paying for admission for the 15 dances.

15*4=$60

However, our answer isn't just $50 as we are also told membership costs $50. So no we add $50 to $60, which gives us an answer of $110, which is the amount the member will pay if they attend 15 dances during the school year.

Answer:

8

Step-by-step explanation:

Answer:

$3.74

Step-by-step explanation:

Proportions:

6 pounds ⇔ $22.44

1 pound ⇔ $ C

C = 22.44*1/6

C = $3.74

Time required to walk to school is,  t=20 mins

Since, Andre takes 80% of time required to walk to school. Which means

Time taken by Andre = 80% of 20 minutes

t-80/100x20

t=16 minutes

Andre takes 16 minutes to walk to school.

p.s you can be rude and take the points to my question idc Imma be nice and help you

Answer:

5 chairs

Step-by-step explanation:

then you'd get 5 so the answer is 5.

Just divide 5/6 / 1/6,

Answer:

5

Step-by-step explanation:

This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;

This is an equation, which can be rearranged to give:

Number of chairs painted = total paint used/paint needed per chair

Total paint used = ⅚

Paint needed per chair = ⅙

Therefore:

Number of chairs painted = (⅚)/(⅙)

Number of chairs painted = ⅚ × 6

Number of chairs painted = 5

Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.

Solution steps:

Step 1: Locate and underline the tens place () and look to digit to the right (6):

36

Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.

In short: 36 rounded to the nearest tens is 40.

Step-by-step explanation:

Answer:

Sale price is [tex]15.2\$[/tex]

Step-by-step explanation:

Price is reduced by 80% from the original price.

Here original price is $76

Sale price is

[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]

Answer:

m = 3

Step-by-step explanation:

Slope of first one is -1/3

Perpendicular therefore m = -(-1/3)^(-1) = 3

m = 3

Answer:

Given the equation line 4x+12y=8

Step-by-step explanation:

The equation is y=mx+5y=mx+5

The line passes through A(3,14)A(3,14)

Putting (x,y)=(3,14)(x,y)=(3,14), we have…

14=3m+514=3m+5

⟹3m=9⟹3m=9

⟹m=3

Answer:

C. two times a number n added to one

Answer:

b. Kilograms

Step-by-step explanation:

Answer:

For me,the answer will be A.

im not sure

correct me if im wrong

love ya

Answer:

B

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

8 - 5 < x < 8 + 5 , then

3 < x < 13 → B

Step-by-step explanation:

you didn't post the questions yk?!

Answer:

c)

Step-by-step explanation:

the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.

Answer:

1

3  maybe

Step-by-step explanation:

The function that models this given situation is 3x = 25.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, my family bought a movie card from a DVD store that entitles you to rent 25 movies.

Assuming no. of weeks to be x, therefore i can watch movies for

3x = 25 weeks at 3 movies rented each week.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ5

The number of kilometers she will have left to run to finish the race is 0.9 km.

Given the following data:

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

[tex]Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}[/tex]

Distance = 12.6 meters.

For the distance left:

[tex]Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6[/tex]

Distance left = 0.9 km.

Learn more about distance here: https://brainly.com/question/10545161

Answer:

270

Step-by-step explanation:

so u would take 6 and 45 and multiplay