1. Sally said that when you add or subtract positive or negative decimals, you can change the order of the decimals and still get the same answer.Use these decimals to answer the questions:
–6.2, 5.71, –3.96, 2.84

(a) Is Sally’s statement always true, sometimes true, or always false? Write two pairs of equations using addition and two pairs of equations using subtraction to support your answer.
(b) Write a rule about changing the order of the numbers in adding and in subtracting positive and negative decimals.

Answers

Answer 1

Answer: always true because addition and subtraction is commutative
-6.2-(-3.96) = -2.24
-3.96-(-6.2)= -2.24
5.71+2.84=8.55
2.84+5.71=8.55
Hope this helped :)

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What are the coordinates of the point that is 1/4 of the way from a to b ?

Answers

Answer:

((X_2 - X_1)/4, (Y_2 - Y_1)/4)

Step-by-step explanation:

C = The new point

X_1 = The x coordinate of A

X_2 = The x coordinate of B

X_3 = The x coordinate of C

Y_1 = The y coordinate of A

Y_2 = The y coordinate of B

Y_3 = The y coordinate of C

The distance between A and the new point, C, is equal to 1/4 the distance from the X coordinate of A to the X coordinate of b.

So, X_3 = (X_2 - X_1)/4

The Y is the same thing but for the Y coordinate.

Y_3 = (Y_2 - Y_1)/4

This means that the coordinates of C are equal to ((X_2 - X_1)/4, (Y_2 - Y_1)/4)

Final answer:

To find the coordinates of a point that's a quarter way from point a to point b, use the following formula: [(1*x2 + 3*x1) / 4, (1*y2 + 3*y1) / 4], where (x1, y1) and (x2, y2) are the coordinates of points a and b respectively.

Explanation:

In mathematics, to find the coordinates that are 1/4 of the way from point a to point b, you simply need to apply the formula for finding a point along a line segment connecting two points. If you have two points (x1, y1) - coordinates of point a and (x2, y2) - coordinates of point b, a point P that divides the line segment AB in the ratio of m:n (in this case m=1, n=3 since it's 1/4 of the way) has the coordinates: [(mx2 + nx1) / (m+n), (my2 + ny1) / (m+n)].

So, if point a = (x1, y1) and point b = (x2, y2), the coordinates of the point that is 1/4 of the way from a to b is given by: [(1*x2 + 3*x1) / 4, (1*y2 + 3*y1) / 4].

Learn more about Coordinates

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If you want to Convert Yards to Feet what operation would you use

Answers

Well, there are 3 feet in a yard so you can just divide the number of yards by 3.

the conversions and formulas system, and then think that one yard equals three feet and think you would work this out by trying to cancel the feet to get miles. Using 1.5 feet x 1 mile/5280 feet will cancel out the feet

What expression can be used for estimating 868 divided by 28

Answers

You could do 870/30=29.
Or you could do 868/28=31 and then round it but it looks like it doesn't need rounding.

20/10 as a mixed number

Answers

20/10 as a mixed number:

20 ÷ 10 = 2.

10 goes into 20 two times. So 20/10 as a mixed number is a whole number: 2.

20/10 = 2

First, decide how many times 10 can go into 20. 10 can "fit in" to 20 exactly 2 times. Since there is nothing left over, the "mixed number" is simply 2.
Another way to do this is to just divide the top by bottom, since it will divide evenly.
20/10 = 2.
Answer: 2
Hope that helps!!

leslie needs 48 ounces of charcoal for her grill how many pounds of charcoal should she buy please help

Answers

It is 3 because there 16 oz in 1 pound.48 divided 16 equals 3

Rebecca buys some scarves that cost $5 each and 2 purses that cost $12 each. The cost of Rebecca's total purchase is $39. what equation can be used to find n, the number of scarves that Rebecca buys?

Answers

Let n represent the amount of scarves Rebecca buys, and p represent the number of purses Rebecca buys.

We know that scarves cost $5 each, and purses that cost $12 each. We also know that the cost of Rebecca's entire purchase is 39 dollars.

So,

5n + 2p = $39

However, we were also given that Rebecca buys a total of 2 purses, so we can plug that into the equation.

5n + 2(12) = 39

When simplified, we get:

5n +24 = 39

To simplify even further, we must subtract 24 from both sides of the equation.

5n = 15

Finally, we must divide both sides by the coefficient of the variable, or 5.

n = 3

Therefore, Rebecca buys 3 scarves.

However, this problem didn't ask you to solve the equation, therefore the correct answer in this situation is probably one of the ones we started out with, either

5n + 2(12) = 39

or

5n +24 = 39

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