A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?

Answer:

[tex]t=\frac{5}{8}s[/tex] and [tex]s(\frac{5}{8})=\frac{37}{4}ft[/tex]

Step-by-step explanation:

There are different approaches you can take to solve this problem. You can look at it from the geometric approach or the calculus approach. I will us the geometric approach.

When we analyze the given function for the height of the ball:

[tex]s(t)=-16t^2+20t+3[/tex]

we can see that we are dealing with a quadratic function. This means that the graph will be an inverted parabola, just like the one in the attached picture.

so the idea is to find the vertex of the parabola to find the highest the ball gets to be and the time it gets to be at that height.

In order to do so, we can use the vertex formula, which looks like this:

[tex]t=-\frac{b}{2a}[/tex]

this is use when you have a function with the form:

[tex]f(x)=ax^2+bx+c[/tex]

in this case:

a=-16, b=20 and c=3, so the formula then turns to:

[tex]t=-\frac{20}{2(-16)}[/tex]

which yields:

[tex]t=\frac{5}{8} s[/tex]

which is our first answer. So we can then use this to find the maximum height of the ball, just by substituting t into the original function:

[tex]s(\frac{5}{8})=-16(\frac{5}{8})^2+20(\frac{5}{8})+3[/tex]

which yields:

[tex]s(\frac{5}{8})=\frac{37}{4} ft[/tex]

which is our second answer.

Answer:

7/6 miles

Step-by-step explanation:

As, Distance for 1 hour = x

For 2 hours = 2 1/3

For 2 hours = 2(x)

So, 2(x)= 2 1/3

2(x)= 7/3

So, x = 7/3 ÷ 2

So x= 7/3 x 1/2

Therefore, x = 7/6

Final answer= 7/6 miles per hour

Answer:

5/13

Step-by-step explanation:

f(x) = [tex]\frac{3x^{2}-7 }{4x^{2}-3 }[/tex]

Substitute x for 2.

[tex]\frac{3(2)^2-7}{4(2)^2-3}[/tex]

Solve

[tex]\frac{3(4)-7}{4(4)-3}[/tex]

[tex]\frac{12-7}{16-3}[/tex]

f(2)= [tex]\frac{5}{13}[/tex]

The value of f(2) is 5/29.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x) = 3x² -7/ 4x² - 3

Now, find the value of the function at x= 2

So, f(2)= 3(2)² -7/ 4(2)² - 3

f(2) = 3 x 4 -7 / 4 x 8  - 3

f(2) = 5/29

Hence, the value of f(2) is 5/29.

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Answer:

120 is the score

Step-by-step explanation:

3 correct moves X 50 points for a correct move = 150 points

-3 points for every seconds over the time X 10 seconds over 2 minutes = 30 points lose -30

150 - 30 = 120

Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours

Answer:

option c

steps.4p-2=10

4p=2+10

4p=12

p=3

Answer:

(c) 3

Step-by-step explanation:

4p - 2 =10

4p =10 +2

4p =12

P =12 :4

p=3

Answer:

I would say its D. 9.00

Step-by-step explanation:

Answer:

11

Step-by-step explanation: Two one hundreds would be 8 gallons and 75 is 3/4 of one hundred making that 3 gallons

Answer:

r = 2

Step-by-step explanation:

3|3 - 5 * 2|- 3 = 18

3|3 - 10| - 3 = 18

3 * 7 - 3 = 18

21 - 3 = 18

18 = 18

(Since there are absolute value signs, the answer to |3 - 5r| will be positive)

Answer:

r=0.8

Step-by-step explanation:

3|3-5r|-3=18

9-15r -3=18

6-15r=18

15r=12

r=0.8

Answer:

D

Step-by-step explanation:

if it was written in scientific notation, it would be 5*10^1

There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation

Step-by-step explanation:

given data:

gained = $1,570

amount invested = $29,000

0.11x – 0.07( $29,000 – x ) = 1540

0.11x – ( 2030 – 0.07x ) = 1540

0.11x + 0.07 = 1540 +2030

0.18x = 3570

divide both sides by 0.18

x = 19833.33 ( amount invested at 11%.

$29,000 – 19833.33

= $9166.7 ( amount invested at 7%)

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

2%.8000=a⋅(5yearcd)= 5ea2yrcd2%=0.02

Answer:

100

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

60 x 1/4 = 60/4 = 15

Answer:

56

Step-by-step explanation:

i recommend using mathaway, type in "4,8,14"

Answer:

Disclaimer: You can disregard some if not wanted information.

1. decimal's

2. Exponent's

3. Variable's (still counts)

4. rational number's

5. Irrational Number's

6. Repeating Decimal's

7.Terminating decimal's

8.Integer's

One Honorable Mention:

Fraction's

Step-by-step explanation:

Answer:

rational numbers: 1/2, 5/8

irrational number: ie. pi, numbers under a root symbol

whole numbers: 0, 1, 2, 3...

real numbers: ie. 4, 1/2, -0.5

integers: ie. ...-3, -2, -1, 0, 1, 2, 3...

natural numbers: ie. 1, 2, 3, 4...

counting numbers

decimal numbers: ie. 0.2, 2.4

Answer: y = 3x - 6

Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.

I can't see the choices real well, but I think it's b, 35%.

Answer:

B 35% is the answer

Answer:

(y + 4)(y + 1)

Step-by-step explanation:

Given

y² + 5y + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)

The factors are + 4 and + 1 , since

4 × 1 = 4 and sum = 4 + 1 = 5 , thus

y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors

Answer:

(A) Convert 20% to a decimal.

(B) Multiply: 0.2 × 124 = 24.8

(D) Subtract: 124 – 24.8 = 99.2

Step-by-step explanation:

Given parameters:

 Number of strikeouts last year = 124

  Percent reduction  = 20%

Unknown:

Number of strikeouts this year =?

Solution:

To find the number of strikeout this year,

   Convert 20% to a decimal   = [tex]\frac{20}{100}[/tex]  = 0.2

Now; Multiply: 0.2 × 124  = 24.8

The number of strikeouts this year = 124 - 24.8  = 99.2

Answer:

slope=-2

y intercept= 7

Step-by-step explanation:

Equation of a line:

y=mx+c

where

m=slope of the line, and

c=y intercept

Comparing y=-2x+7 with y=mx+c,

m=-2

y intercept=7

Hope it helps:)

Answer:

brainleist plzz

Step-by-step explanation:

Fraction Decimal Percentage

10/13 0.7692 76.92%

A fraction is a way to describe a part of a whole. The value of 10/13 as a decimal rounded to the nearest tenth is 0.8.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The given fraction can be written in decimal form by dividing 10 by 13, therefore, we can write the fraction as,

10/13

= 10 ÷ 13

= 0.76923

Since the number is needed to be rounded off to the nearest tenth, therefore, we need to look at the hundredth term, if that term is more than equal to 5, we will leave the tenth term as it is, while if the hundredth term is more than 5 we will round off the tenth term to the next term.

In this case, the hundredth position is taken by 6, therefore, the tenth term will become 8 from 7.

10/13

= 10 ÷ 13

= 0.76923 ≈ 0.8

Hence, the value of 10/13 as a decimal rounded to the nearest tenth is 0.8.

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Answer:

I believe it's 180 I'm pretty sure

Answer:

180 degrees

Step-by-step explanation:

If you rotate it 180 degrees to the right or left it will look exactly the same.

Answer:

x 5. jjhwgehdhdjdhdhdhejrj

Answer:

2/3 because they have something to do with five

Step-by-step explanation:

First, you multiply 12 and 10 to get how much money she earned in 10 hours.  She earned 120 dollars in 10 hours.  Next, you multiply 10% and 1500.  You turn 10% into 0.10, and multiply by 1500 to get 150.  Finally you would add 150 and 120 to get $270.  Mary earned $270.

Answer:

It's B.

Hope this helped :)

Answer:

the answer is 15

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Just research it to save points. Have a nice day!

Can I have bainliest?

Answer:

45

Step-by-step explanation:

Male = 6          Male = ?

Female = 5      Female = 40

                                         ^

? = 6x5 because 5x5 = 40