Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?

Answers

Answer 1

Answer:

Answer: The area of one wall is 216.72 ft^2.

Step-by-step explanation:

16.8 * 12.9 = 216.72

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What is the value os f(150), And what does f(150) represent?

Answers

f(150) = 3×150 + 20 = 470

Final answer:

f(150) refers to a function f applied to the input 150. Without information about the form of function 'f', we can't tell the specific value of f(150). The value of f(150) symbolizes the outcome after applying the function 'f' to 150.

Explanation:

The question is asking about f(150) which relates to the concept of function in Mathematics. In a function f(x), the input is represented by 'x', and the output, which is the result of applying the function to 'x', is represented by f(x). Therefore, f(150) means that the function f is being applied to the number 150. Without any specific information about the function 'f', we cannot determine the exact value of f(150). The value of f(150) represents the outcome resulted by applying the function 'f' to the input 150.

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As a company manager for the Quick Money Business there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion or a raise. The probability of getting a promotion and a raise is 0.25. If you get a promotion, what is the probability that you will get a raise?

Answers

Answer:

Probability of getting raise when you get promoted = 0.625

Step-by-step explanation:

We have to find the probability of getting a raise. So,

Promotion = P, Raise = R

First we find if you get the promotion, what is the probability that you will also get a raise

$P(R | P) = (P(P \& R))/(P(P)) = \frac {0.25}{0.4} = 0.625$

Probability of getting raise when you get promoted = 0.625.

Now we find the probability of getting a raise,

$P(P\ or\ R) = P(P) + P(R) - P(P \& R)\n\0.72 = 0.4 + P(R) - 0.25\nP(R) = 0.72 - 0.4 +0.25\nP(R) = 0.57$

So, the probability of getting raise = 0.57.

What is the value of a in the equation 3a + b = 54, when b = 9?

Answers

If you would like to solve the equation 3 * a + b = 54, when b = 9, you can calculate this using the following steps:

b = 9
3 * a + b = 54
3 * a + 9 = 54
3 * a = 54 - 9
3 * a = 45 /3
a = 45/3
a = 15

The correct result would be 15.

$3a+b=54\n\n Substitute\ b\ =\ 9\ into\ the\ equation.\n\n3a+(9)=54\n\nSubtract\ 9\ on\ both\ sides.\n\n3a=45\n\nDivide\ by\ 3\ on\ both\ sides.\n\n{\boxed{a=15}$

Holly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?

Answers

Answer:

days ≤ 6

Step-by-step explanation:

she gas 160 pages out of the 380 pages, so she needs to write other:

380 - 160 = 120 pages.

If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:

20*d = 120

d = 120/20 = 6

so d is the number of days, and we have that:

d ≤ 6.

The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.

Find the area of a sector with a central angle of 110° and a diameter of 6 cm. Round to the nearest tenth.

Answers

=1/2* r^2 * theta
r=D/2=3 cm
theta=110 deg= 1.92 radian.
area=1/2*3*3*1.92 cm2 =8.64 cm2
=8.6 cm2 (approx.)

At a candy store a bag holds up to 1 pound of candy. Each jawbreaker (x) weighs 0.25 pounds and each gumball (y) weighs 0.1 pounds. Which inequality shows the solution for all combinations of the two candies that will fit in the 1-pound bag?

Answers

x - number of jawbreakers;
y - number of gumballs.
The weight of jawbreakers + gumballs must be less than or equal to 1 pound.
Inequality that shows the solution for all combinations of the two candies is:
0.25 x + 0.1 y ≤ 1

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