You and your friend get the same magazine. You spend $15 for twelve issues. Your friend pays $1.50 per issue but gets the first two issues free. How many issues will your friend get if he also spends $15?

Answers

Answer 1
Answer: 12 as $1.50 x 10 = $15 and he get 2 free so 10 + 2 = 12
Answer 2
Answer: 15$ divided 1.50 is 10 plus the 2 free ones brings it to 12

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What is the perimeter of the figure to the nearest hundredth of an inch?A.
68.24 inches
B.
43.12 inches
C.
38.56 inches
D.
26 inches

Answers

The answer is C
Hope I helped in some way

Yup the answer is C. I had this question before on a test :)

A company sells each product they make for $84.00. They pay $2,100.00 in monthly costs such as rent and bills as well as $70.00 in manufacturing costs per unit. Which of the equations below gives the company's profit per month, P, as a function of the number of units made, x?

Answers

The equation that gives the company's profit per month, P, as a function of the number of units made, x is P = 14x - 2100

Solution:

Selling price of 1 product = $ 84

Monthly cost for rent and bill = $ 2100

Manufacturing cost per unit = $ 70

To find: company's profit per month, P, as a function of the number of units made

Let "x" be the number of units made

Let "P" be the company profit per month

Selling price for "x" number of units = 84x

Manufacturing cost for "x" units = 70x

We know that,

Profit = Selling price - manufacturing cost

P = 84x - 70x

P = 14x

We have to subtract the monthly cost for rent and bill to get the actual profit

P = 14x - 2100

Thus the equation that gives the company's profit per month, P, as a function of the number of units made, x is P = 14x - 2100

The height of a ball in feet is modeled by y =  - 16x {}^(2)  + 72x
where X is the time in seconds after the ball is hit. How long is the ball in the air?

(May I also get steps on how to solve these kind of questions please?)

Answers

The value of time of the ball in the air is,

⇒ 4.5 seconds

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The height of a ball in feet is modeled by the equation,

y = - 16x² + 72x

where, x is the time in seconds after the ball is hit.

Hence, For time of the ball in the air, we can plug y = 0 in above equation.

y = - 16x² + 72x

0 = - 16x² + 72x

Solve for x;

- 16x² + 72x = 0

- 4x (4x - 18) = 0

This gives,

4x = 18

x = 18/4

x = 4.5 seconds

Thus, The value of time of the ball in the air is,

⇒ 4.5 seconds

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ2

The answer to this question is 4.5 seconds. You can see from the graph that the ball is above the ground in the interval 0 < t < 4.5. It is at t = 4.5 where the graph touches the t-axis. When it touches the t-axis, then the height is 0 and therefore on the ground.

What is the substitution method?

Answers

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable

A cup of cereal can contain 480480
milligrams of salt, which is 20%
20
%
of the recommended daily amount.

What is the recommended daily amount of salt?

Answers

480 x 5 = 2400. 2400 milligrams of salt is the recommended daily amount.

Answer:

2400 milligrams because 480 is 20% of the recommended amount

Step-by-step explanation:

20*5 = 100% so 480* 5 = 100% or recommended amount

Hope this helps!

Which of the following is an odd function?

Answers

Answer:

f(x) = -x is odd

Step-by-step explanation:

A function f is odd if f(-x) = -f(x) for all x in the domain of f. Then, let's check each of the functions.

1. f(x) = x^3 + 5x^2 + x

f(-x) = (-x)^3 + 5(-x)^2 + (-x) = -x^3 + 5x^2 - x

-f(x) = -(x^3 + 5x^2 + x) = -x^3 - 5x^2 - x

Given that f(-x) ≠ -f(x). The function f is not odd.

2. f(x) = sqrt(x)

f(-x) = sqrt(-x) (Imaginary number)

-f(x) = -sqrt(x)

Given that f(-x) ≠ -f(x). The function f is not odd.

3. f(x) = x^2 + x

f(-x) = (-x)^2 -x = x^2 - x

-f(x) = -x^2 - x

Given that f(-x) ≠ -f(x). The function f is not odd.

4. f(x) = -x

f(-x) = - (-x) = x

-f(x) = -(-x) = x

Given that f(-x) = -f(x). The function f is odd.

Answer with Step-by-step explanation:

A function f is odd if:

f(-x)= -f(x) for all x in the domain of f

1. f(x)=x^3+5x^2+x

f(-x)=(-x)^3+5(-x)^2-x

    = -x^3+5x^2-x

-f(x)=-x^3-5x^2-x

f(-x) ≠ -f(x)

So, function is not odd

2. f(x)=√x

f(-x)=√(-x)

     = i√x

-f(x)= -√x

f(-x) ≠ -f(x)

So, function is not odd

3. f(x)=x^2+x

f(-x)=(-x)^2-x

    =x^2-x

-f(x)= -x^2-x

f(-x) ≠ -f(x)

So, function is not odd

4. f(x)= -x

f(-x) = -(-x)

     =x

-f(x)=x

f(-x) = -f(x)

So, function is odd