Factor the expression using GCF
20p-60=___

Answers

Answer 1
Answer: 20p - 60
20(p) - 20(3)
20(p - 3)

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It takes Gary 1 hour to milk all the cows, and it takes Dana 1.5 hours. How long will it take them to do the job together? Please explain all the steps and models/equations used. Thanks so much.
Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.6h + 5 = 4h + 10 What is the correct sequence of steps to solve Mrs. Blake’s equation? A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2. B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2. C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2. D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.
Write 10 12/5 as an equivalent improper fraction
How do you use y=mx+b
a sailfish can swim up to 1 mile per hour less than one fifth the top speed of a peregrine falcon. Find the top speed that a sailfish can swim?

Lin rode a bike 20 miles in 150 minutes. She rode at a constant speed. How long did it take her to ride 6 miles

Answers

Answer: 45 minutes

Step-by-step explanation:

She rides 150/20 minutes per mile which is 7.5 minutes per mile. So it would take her 45 minutes to ride 6 miles because 6 × 7.5 = 45.

Algebra II
15 points

Answers

Answer:

  B.  The axis of symmetry is x=1.

  F.  The vertex is (1, 7).

  G. The y-intercept is (0, 10).

Step-by-step explanation:

A graph of the function is helpful sorting this out.

_____

For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Here, that is ...

  x = -(-6)/(2·3)

  x = 1 . . . . axis of symmetry

This is also the x-coordinate of the vertex. The y-coordinate of the vertex can be found by evaluating the expression for this value of x:

  3·1² -6·1 +10 = 7

so the vertex is (1, 7).

__

The y-intercept is the constant, the value of the function when x=0. Here, that is 10, so the coordinates of the y-intercept are (0, 10).

16.When writing a repeating decimal as a fraction, does the number of repeatingdigits you use matter? Explain.

Answers

Answer:

Yes.  It needs to be clear that it is on going.  So as long as it is evident that it repeats, you're good.

Step-by-step explanation:

Yes it does matter i think

What is the value of x in the proportion below?​

Answers

Answer:

3 1/2 =x

Step-by-step explanation:

(1/2) / 4 = x/28

Using cross products

1/2 * 28 = 4*x

14 = 4x

Divide each side by 4

14/4 = 4x/4

7/2 = x

3 1/2 =x

Answer:

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Step-by-step explanation:

(1/2)/(4) = (x)/(28)

Cross Multiplying

=> 1/2 * 28 = 4x

=> 14 = 4x

=> 4x = 14

Dividing both sides by 4

=> x = 14/4

=> x = 7/2

=> x = 3(1)/(2)

Gwen is making a circular rug with a radius of 3 feet. What will the area of the rug be that she is making? With explanation.

Answers

Hi there! A=πr²=π*3²=28.27433 ft². Round 28.27443 to 28.72. Therefore, the area of the rug will be 28.27ft²
area of a circle : 3.14r^2 or ( pi symbol)r^2 3.14 = pi 3 = radius 3.14 • 3^2 Your gonna multiply 3.14 by 3 to the second power. 3.14 • 9 area = 28.26 or 28.27

In a class, 22 students have been on a plane, 28 on a train, 23 on a boat, 15 on a plane and train, 20 on a train and boat, 14 on a plane and boat, 12 on all three, and 1 on none of them. How many students are in the class?

Answers

Answer:

37 students are in the class

Step-by-step explanation:

There are 8 regions which the most inclusive clue is the inner one with 12.

  • "14 on a plane and boat" so we fill the intersection with plane and boat with 14-12=2
  • "20 on train an boat" 20-12=8 in the intersection
  • "15 on plane and train" = 15-12 = 3

now we look at this:

  • "22 students have been on a plane" 22 - (2+12+3) = 5 on the plane
  • "28 on a train" 28 - (12+8+3) = 5 on the train
  • "23 on a boat" 23-(12+8+2) = 1 on the boat

Just add up all the 8 numbers in the regions:

12+2+8+3+5+5+1+1=37

Best Answer:  Q#1! 
In a class, 22 students have been on a plane, 28 on a train, 23 on a boat, 15 on a plane and train, 20 on a train and boat, 14 on a plane and boat, and 12 on all three, and 1 on none of them. How many students are in the class? 

(1, 5, 3, 12, 2, 5, 8, 1) = 37 

Q#3! 
In a class of 32 students, 17 are wearing jeans, 8 are wearing T-shirts, and 7 are wearing both. How many students are wearing jeans and something other than a T-shirt? 
17 - 7 = 10