A machinist can produce 114 parts in 6 minutes.At this rate, how many parts can the machinist produce in 15 minutes?

Answers

Answer 1

Answer: 114 parts / 6 min = X parts / 15 min

114/6 = x/15
cross multiply

114 * 15 = 6 * x

1710 = 6x
divide both sides by 6

1710/6 = 6x/6

285 = x

Hope this helps! (:

-TotoandFidoLOVE

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Which angle is coternal with 130 degrees?

Dels anyone know this? (Im just starting algebra now

Answers

Answer:

1)3

2)77

3)28

4)11

5)7

6)40

7)108

8)7

Step-by-step explanation:

You just have to find what the variable equals.

All these answers are correct

Answer:

1=3

2=77

3=28

4=11

5=7

6=40

7=108

8=7

Step-by-step explanation:

replace the letters with the numbers it says it equals then do the equation like you would normally.

How many 2/3 pieces can you cut from a 10 foot long board

Answers

I told you in my answer that I was writing that you have to remember that in math any whole number converted to a fraction is over 1. So make the 10 a 10/1.

10/1 divided by 2/3 copy change flip.

10/1 x 3/2 multiple across 30/2 divide that answer is 15. You can cut 15 boards that are 2/3 in length from a 10 foot long board.

HURRY PLEASE WHOEVER ANSWERS FIRST WILL BE THE BRAINLIEST!!!Which statement best explains the relationship between lines FG and HJ?

A.They are perpendicular because their slopes are equal.
B.They are perpendicular because their slopes are negative reciprocals.
C.They are not perpendicular because their slopes are equal.
D.They are not perpendicular because their slopes are not negative reciprocals.

Answers

we know that

If two lines are perpendicular then, the product of their slopes is equal to minus one, that means that their slopes are negative reciprocals

$m1*m2=-1$

Step $1$

Find the slope of the line HJ

$H(-4,-2)\nJ(0,4)$

we know that

the slope between two points is equal to

$m=((y2-y1))/((x2-x1))$

substitute the values

$m1=((4+2))/((0+4))$

$m1=((6))/((4))$

$m1=(3)/(2)$

Step $2$

Find the slope of the line HJ

$F(-4,1)\nG(0,-2)$

we know that

the slope between two points is equal to

$m=((y2-y1))/((x2-x1))$

substitute the values

$m2=((-2-1))/((0+4))$

$m2=((-3))/((4))$

$m2=-(3)/(4)$

Step $3$

Verify if the two lines are perpendicular

$m1=(3)/(2)$

$m2=-(3)/(4)$

Find the product m1 by m2

$(3)/(2)*-(3)/(4)=-(9)/(8)$

$-(9)/(8)\neq -1$ --------> the slopes are not negative reciprocals

therefore

the answer is the option

D.They are not perpendicular because their slopes are not negative reciprocals

The answer to this question is B. They are perpendicular because their slopes are negative reciprocals.

Two lines can be perpendicular if they make a 90 degree angle and/or their slopes are negative reciprocals.

Michael is 17 years older than John. In 4 years, the sum of their ages will be 49. Find Michael's present age.

Answers

( x + 4 ) + ( x - 13 ) = 49 2x - 9 = 49 2x = 58 x = 29 Michael's present age is 29 years old

Determine the center and radius of the circle described by the equation. (x+1)²+(y-5)²=36

Answers

Answer:

center: (-1,5)

radius: 6

Step-by-step explanation:

The table shows a linear relationship between x and y What is the rate of change of y with respect to x?

Answers

We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.

To solve our given problem, we will find the slope of the line passing through the given points.

$m=(y_2-y_1)/(x_2-x_1)$

Let us find slope of line using points $(-20,96)$ and $(-2,15)$ .

$m=(15-96)/(-2-(-20))$

$m=(-81)/(-2+20)$

$m=(-81)/(18)$

$m=-4.5$

Therefore, the rate of change of y with respect to x is $-4.5$ .

Final answer:

In a linear relationship, the rate of change is constant and represents how much the dependent variable changes for every unit increase in the independent variable. To find the rate of change, calculate the slope of the line.

Explanation:

In a linear relationship, the rate of change is constant. It represents how much the dependent variable (y) changes for every unit increase in the independent variable (x).

To find the rate of change, you can calculate the slope of the linear relationship. The slope is determined by taking the difference in the y-coordinates divided by the difference in the x-coordinates between two points on the line.

For example, if the table shows that for every increase of 2 units in x, y increases by 3 units, then the rate of change of y with respect to x is 3/2.

Learn more about Rate of Change here:

brainly.com/question/31226174

#SPJ11

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