Point R is the midpoint of line segment XY. If XR=3n+1 and YR=16-2n, what is the length of line segment XY?Please explain your work.

Answers

Answer 1
Answer: 1) 3n+1=16-2n - add 2n to both sides - you should now be left with 5n+1=16 (remember the 2n gets canceled out) - subtract 1 from both sides - you should now be left with 5n=15 - now you divide by 5 to get n by itself - 15 divided by 5 is 3 - n=3 2) substitute n with 3 in to the original equation - so 3n+1=16-2n now becomes 3(5)+1=16-2(3) - you should get 10 for both so 10=10 3) according to the segment addition postualte , XR + YR = XY. - add 10+10 which stands for the lengths of XR and YR Answer - XY = 20

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A 3x4x5 rectangular cuboid (e.g. a brick) is painted blue and cut into 1x1 cubes. what is the expected value for the painted sides of a randomly selected cube?

Answers

Answer:

8 cubes are painted on 3 sides

24 cubes are painted on 2 sides

22 cubes are painted on 1 sides

6 cubes are painted on 0 side

E = 3 * 8/60 + 2 * 24/60 + 1 * 22/60 + 0 * 6/60 = 47/30 = 1.567

The length of a rectangle is 5cm longer than its width.If the perimeter of the rectangle is 66cm, find its length and width.

Answers

Answer:

width is 14, length is 19

Step-by-step explanation:

let w represent the width of the rectangle.

"The length of a rectangle is 5 cm longer than its width."

You can take from this that you must add 5 to the width to get the length.

so, you can now write that L=w+5 .


The formula for perimeter is 2w+2L.

You can plug the values in.

2w+2(w+5) is the expression you get.

use distributive property on the 2(w+5) to get 2w+ 2w+10 . Add same terms together and get 4w+10, which represents the perimeter.

"..The perimeter of the rectangle is 66 cm."

Set the simplified expression 4w+10 to 66 to get

4w+10=66

Subtract 10 from both sides and get

4w=56

divide by four for both sides and get w=14 .

We are not done yet!

To find the length, plug the width back into our formula L=w+5 and get L=14+5. The length is 19.

after elsa baked muffins, her brother ate 4 of them. he ate 2 5 of all of the muffins. how many muffins did elsa bake?

Answers

If you would like to know how many muffins did Elsa bake, you can calculate this using the following steps:

2/5 of all of the muffins = 4 muffins
2/5 * x muffins = 4
2/5 * x = 4        /*(5/2)
x = 4 * 5/2
x = 10 muffins

The correct result would be 10 muffins.

Answer:

10 muffins e2020 says

Step-by-step explanation:

Solve each equation.Show your work.
Can someone help me please??​

Answers

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.

Wendy saved up for a family trip to the beach. For each $1 she saved, her parents pledged to save $5. If her parents were able to save $2, how much did Wendy save?

Answers

225/5 = 45
This means the parents gave her five dollars forty five times. If they gave her a five every time she saved one dollar, you just have to multiply the money she saved each time and the number of times she saved it, and you'll get the answer. 
Wendy saved $45 by herself
$45.00. You set up a proportion. You put 1 on top of 5 and put x on top of 225. Once you do that, you multiply 225 by 1 to get 225 then divide it by 5 to get 45.
Example:
1/5      x/225
225 x 1=225
225/5= 45
Answer= $45.00

Two numbers multiply to be -40 and add to be 3. What are the numbers?

Answers

Answer:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0        or,      y-8=0

y=-5                      y=8

When y=-5,

x=3-y

3--5

3+5

8

When y=8,

x=3-y

3-8

-5