Match each expression with an equivalent expression.

Ben is repacking a 50 pound bag of rice into 6 smaller bags

faltersainse [42]

Is there any other part of this question that I am missing? It would be great if you could include more information on the problem.

Thank you!

3 0

3 years ago

Compare positive and negative slope for linear relationships. How are they the same? How are they different?

Gekata [30.6K]

Answer:

Please check explanations

Step-by-step explanation:

Slopes are generally the ratio of rise(vertical difference) to fall (horizontal difference) for set of points lying on a straight line

Positive slopes show a positive relationship between the two things we are considering while a negative one shows otherwise

They are the same in the sense that they actually represent a constant change between the coordinates of the points in the relationship we are considering.

They are different in the sense that while one represents a positive change, whereby both axes move in the same direction ( rise at same rate, fall at same rate) , the second represent a relationship in which they move in opposite directions. While one falls, the other rises and while the other rises, the second one falls which indicates an opposing movement type between the two

5 0

3 years ago

The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9

QveST [7]

Answer:

78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

t + o = 15 . . . . . . the sum of digits is 15

(10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

9o -9t = 9 . . . . collect terms

o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

(t +o) +(o -t) = (15) +(1)

2o = 16

o = 8

t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0

3 years ago

Write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12

dedylja [7]

Answer:

y = $\frac{1}{2}$ x - 2

Step-by-step explanation:

Given parameters:

Coordinates = p(4,0)

Equation of the line -x+2y=12

Solution:

A line parallel to the given line will have the same slope as it is;

-x+2y=12

2y = x + 12

y = $\frac{1}{2}$ x + $\frac{12}{2}$

Since this conforms to y = mx + c where;

x and y are the coordinates

m is the slope

c is the intercept

Our slope is $\frac{1}{2}$

The equation of the line is

y = mx + c

let us find c;

c = y - mx

c = 0 - ( $\frac{1}{2}$ x 4)

c = -2

Now the equation of the line parallel to the line given is;

y = $\frac{1}{2}$ x - 2

7 0

3 years ago

1. What is the median of the data represented in the line plot below?<br> 0<br> 1<br> 2<br> 3

Strike441 [17]

The median is 1 because that is the number in the middle

3 0

3 years ago