Which expression(s) represent a total gain of $70? Select all that apply100 + (-30)
-20 + (-50)
20 + (50)
50 - (-20)
-30 - (-100)
-70
70

Which ones apply please help!

Answers

Answer 1
Answer: The answer :
20 + (50) = 70
50-(-20) = 70
70 = 70

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If 28% of a sum is $100.80, what is the sum?

Answers

Call the sum S. Then, you can use the definition of percentage to obtain an equation to find the value of S: 1) 28% = 28 / 100; 2) 28% of x = (28/100)x; 3) that is equal to $100.80 => (28/100)x = 100.8 => x = 100.8 * 100 / 28 => x = 360. You can verify that the 28% of 360 is 100.80: 360 * 28/100 = 100.80. Then, the answer is $360.

The sum of two numbers is 47, and their difference is 15. What is the larger number?

Answers

Let the two numbers be x and y.

x + y =  47
+
x - y =  15
__________
2x  + 0y = 62                        Adding both equations.
___________


2x = 62
x = 62/2
x = 31.             

x is definitely the larger of the two numbers because x - y = 15

The larger number is 31.
I think the answer is 32 because 47-15=32

Pre-calc
x - 3 is a factor of P(x) = x^3 – 7x² +15x-9
A. True
B. False

Answers

A. True
Explanation-

Let p(x) = x^3 – 7x^2 – 15x – 9

For checking that (x – 3) is a factor of p(x), we find : p(3)

p(3) = (3)^3 – 7(3)^2 + 15(3) – 9

= 27 – 63 + 45 – 9

= 72 – 72

= 0

Hence, (x – 3) is a factor of p(x).

By division of p(x) by x – 3, we get the quotient

= x^2 – 4x + 3

∴ x^3 – 7x^2 + 15x – 9

= (x – 3)(x^2 – 4x + 3)

= (x – 3)(x – 3)(x – 1)

= (x – 3)^2(x – 1)

2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Answers

The true statement about the juan and lisa is Juan made a higher rate of pay than Lisa.

Juan made a lower rate of pay because he made less money.

This statement is false. Juan and Lisa made a similar rate of pay per hour ($14.80 and $14.00 respectively).

Lisa made a better rate of pay because she made more money.

This statement is false. The total earnings do not determine the rate of pay; the hourly rate does.

Lisa said she made a better rate of pay because her rate was $14 an hour.

This statement is false. Lisa's actual rate was $14.00 per hour, not $14.00 as stated.

Juan said he made a better rate of pay because he was paid $14.80 an hour.

This statement is true. Juan's hourly rate was $14.80, which is higher than Lisa's rate of $14.00 per hour.

To calculate the rate of pay, we divide the money earned by the hours worked.

Juan's rate of pay is $37.00 / 2.5 hours = $14.80 per hour.

Lisa's rate of pay is $42.00 / 3 hours = $14.00 per hour.

Therefore, Juan made a higher rate of pay than Lisa.

Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.

For such more question on rate

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The following question may be like this:

Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Juan made a lower rate of pay because he made less money.

Lisa made a better rate of pay because she made more money.

Lisa said she made a better rate of pay because her rate was $14 an hour.

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Answer:

2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Lisa said she made a better rate of pay because her rate was $14 an hour.

Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.

Juan made a lower rate of pay because he made less money.

Lisa made a better rate of pay because she made more money.

The floor of a rectangular deck has an area of 600 sq. ft. The floor is 20 ft. wide. How long is the floor?

Answers

The question is asking us to determine the length of the floor of a rectangular deck. The rectangular deck has an area of 600 squared feet. The floor is 20 feet wide ( W = 20 ft ). Formula for the area of the rectangle is: A = L x W. 600 = L X 20; L = 600 : 20; L = 30 ft. Answer: The floor is 30 ft long.

On field trips, there must be 2 chaperones for every 15 students. Which ratio correctly expresses the ratio of students to chaperones? 2:15 15:17 17:15 15:2

Answers

15 students to 2 chaperones is expressed by the student to chaperone ratio
  15 : 2

Answer:

D

Step-by-step explanation:

Good luck!