MATHEMATICS HIGH SCHOOL

How do you factor, 45c + 10d?

Answers

Answer 1
Answer: We can't factor out a c or d, since we don't know c in terms of d, or vise versa.  We thus can only factor out an integer.  We see that both numbers are divisible by 5, so we factor out a 5, for a result of 5(9c+2d).  9 and 2 do not have any common factors other than 1, so we have factored fully.  Thus, the answer is 5(9c+2d).

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Martha Owens is paid $14.50per hour for a regular forty-hour workweek. Her overtime pay is one-and-one-half times her regular hourly rate. Thispast week Martha earned S754.00 in totalрау. .How many hours of overtime didMartha work this pas week?

Solve each equation.Show your work.
Can someone help me please??​

Answers

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.

A university's freshman class has 5000 students. 80% of those students are majoringin Computer Science. How many students in the freshman class are Computer
Science majors?

Answers

Answer:

4000 students

Step-by-step explanation:

Number of computer science majors = 80% of 5000

                                                              = 0.8 * 5000

                                                              = 4000

Answer:

4000

Step-by-step explanation:

5000 * .8 is 4000

Two numbers have a difference of 0.7 and a sum of 1. what are the numbers?

Answers

In order to determine the value of the numbers, we can set up algebraic equations to solve. For this case, we need to set up two equations since we have two unknown numbers. We do as follows:
 let x = first number and y = second number
 From the problem statement, we set up equations.
 Equation 1 - the numbers have a difference of 0.7
 x - y = 0.7
 Equation 2 - the numbers have a sum of 1
 x + y = 1
 Solving for x and y via substitution method,
 x - y = 0.7
(1-y) - y = 0.7
1 - 2y = 0.7
-2y = 0.7 - 1 = -0.3
y = 0.15 or 3/20
 x - 0.15 = 0.7
x = 0.85 or 17/20
 Thus, the two numbers are 0.15 and 0.85.

Write an equation or inequality that models the situation below: April started a workout program at a local health club. She began with a 45 minute workout and has increased her time by 5 minutes per week. How many weeks should she increase her time, if she wants her work out to be no more than one hour?​

Answers

Answer:

45+5x \leq60

Step-by-step explanation:

Factor x2 + 11x + 30.

Answers

Solution- (x+5)(x+6)

What is the sum of 3/8 and 1/16

Answers

7/16 is the answer to the addition of those two fractions
(3/8) x 2 = 6/16+ 1/16= 7/16
Hope this helps:)
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