MATHEMATICS HIGH SCHOOL

A baseball diamond has the shape of a square with sidelengths of 90 feet. A catcher wants to get a player running from first base to
second base out.  How far is it from home
plate to second base?

Please explain and show the work. Thanks!

Answers

Answer 1
Answer: Well so far the pitcher has gone 180 degrees so all you have to do is 360 -180 because a quadrant sequels 360 degrees in total and 90 + 90 = 180 and 360 - 180 = 180

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PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!Marty is 3 years younger than 6 times his friend Warren's age. The sum of their ages is greater than 11.

What is the youngest age Warren can be?

Answers

m - Marty's age

w - Warren's age

Marty is 3 years younger than 6 times his friend Warren's age.

6 times his friend Warren's age ----- 6w

Marty is 3 years younger than 6 times his friend Warren's age.  

(1)     m = 6w - 3  

(2)    m + w > 11  

Substitute (1) into (2).

6w - 3 + w > 11

7w > 14

w > 2

Warren can be as young as 3 years old.

Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y?7y = 6
2y = 1
12y = 17
5y = 17

Answers

put same forms to each sides
7y -5y = 9 - 8
2y = 1

Answer:

2y=1

Step-by-step explanation:

7y + 8 = 9 + 3y + 2y

WE need to simplify it, try to get variable on one side and constant on the other side

7y + 8 = 9 + 3y + 2y

first we combine like terms

3y+2y is 5y

7y + 8 = 9 + 5y

Now to get y terms on one side we subtract 5y from both sides

7y -5y + 8 = 9 + 5y-5y

2y +8 = 9

Now we subtract 8 from both sides

2y +8 -8 = 9-8

2y= 1

Plz help with this problem

Answers

To fond the midpoint add each term to each other and divide by 2.

3+2 = 5

5/2


In 2-i, i can also be written as 1i


So now 8+1 = 9

9/2

The midpoint would be 5/2 + 9/2i

To fond the midpoint add each term to each other and divide by 2.


3+2 = 5


5/2



In 2-i, i can also be written as 1i



So now 8+1 = 9


9/2


The midpoint would be 5/2 + 9/2i

Which of the following expressions is larger? 3.67 x 10^2 or 1.9 x 10^2

Answers

Answer:

3.67 x 10^2 is larger

Step-by-step explanation:

Answer:

3.67 x 10^2 is larger than 1.9 x 10^2

Step-by-step explanation: Multiply

Angie has some red and blue beads. 40% of her beads were red. When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. How many beads did Angie have in the end?

Answers

Answer:

Step-by-step explanation:

Let x represent the total number of red and blue beads

Angie has some red and blue beads. 40% of her beads were red. This means that the total number of red beads is

40/100 × x = 0.4x

The number of blue beads would be

x - 0.4x = 0.6x

When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. This means that

0.6x - 50 = 0.6x - 0.6x/3

0.6x - 50 = 0.6x - 0.2x = 0.4x

0.6x - 0.4x = 50

0.2x = 50

x = 50/0.2 = 250

The number of blue beads that Angie had initially is

0.6 × 250 = 150

The number of blue beads that Angie has left is

150 - 50 = 100 beads

The number of beads that Angie has in the end is

250 - 50 = 200 beads

Suppose that y varies inversely with x. Write an equation for the inverse variation. Y =4 when x =7

Answers

If y varies inversely as x, then we write it as:
y = k/x

where k is some constant.

If we multiply both sides of this equation by x we get an equation for k:
k = x*y

We are given that y=4 when x=7, therefore:
k = 7*4 = 28

Put this back into our original equation to get:
y = 28/x
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