Simplify. y 5 · y 3 ÷ y 2

The United States government used to make coins of many different values

Papessa [141]

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

5 0

2 years ago

What is the perimeter? Help plz....And no links!! I repeat No links!!!

Nana76 [90]

Answer:

48 cm

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ra

astra-53 [7]

Answer:

a. b. c. and d. are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

&

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

a. 3/4 of a 4-gallon mix would be yellow paint.

True. 3 out of 4 gallon mix is yellow and 1 out 4 is red

b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of :

1/3 gallon of red paint : 3/3 gallons of yellow paint

1/3 gallon of red paint: 1 gallon of yellow paint. True

c. Every 1 gallon of red paint requires 3 gallons of yellow paint.

True. 1 gallon of red paint : 3 gallons of yellow paint

d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.

True. 1 out of 4 is red and 3 out of 4 is yellow.

e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

Multiply by 2 each side of the equation

2(1 of red paint + 3 of yellow paint) = 2(4 of orange paint)

apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

Actually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.

6 0

2 years ago

If Z is the centroid of ∆LMN,WZ=4,ZN=14, and ZY = 10, find each missing measure

jeyben [28]

Answer:

ZM = 8

WM = 12

XZ = 7

XN = 21

LZ = 20

Step-by-step explanation:

The centroid of a triangle is the point of intersection of the midpoint of the each of the three sides of a triangle. The centroid of a triangle is located inside the triangle and it is known as the center of gravity.

The centroid theorem for a triangle states that the centroid of a triangle is located at 2/3 of the distance from the vertex of the triangle of the middle of the opposite side.

ZM = (2/3)WM (centroid theorem)

Therefore: WZ = (1/3)WM

WM = 3WZ = 3 * 4 = 12

ZM = (2/3) * WM = 2/3 * 12 = 8

ZN = (2/3)XN (centroid theorem)

XN = (3/2)ZN = 3/2 * 14 = 21

XN = 21

XZ + ZN = XN

XZ + 14 = 21

XZ = 7

LZ = (2/3)LY (centroid theorem)

Therefore: ZY = (1/3)LY

LY = 3ZY = 3 * 10 = 30

LZ = (2/3) * LY = 2/3 * 30 = 20

7 0

2 years ago

The frequency table shows the scores from rolling a dice 10 times work out the mean

chubhunter [2.5K]

<h3>Answer: 3.8</h3>

==========================================================

Explanation:

For each row, multiply the values straight across.

Row one: 1*1 = 1
Row two: 2*3 = 6
Row three: 3*0 = 0
Row four: 4*2 = 8
Row five: 5*1 = 5
Row six: 6*3 = 18

The list of products we got were: 1, 6, 0, 8, 5, 18

Add up those products to get: 1+6+0+8+5+18 = 38

The value 38 represents the total value if we were to add up all of the results of each die roll (it shows up again in the next section). We divide this over the total frequency, which is the sum of everything in the second column. That total frequency being 1+3+0+2+1+3 = 10.

So the mean is 38/10 = 3.8

-------------

A longer way to do this is to expand each value based on the frequency shown. The value '1' shows up one time, so we just write "1" once. The value "2" shows up three times, so we write "2" three times. So far the list is {1,2,2,2}

The value "3" doesn't show up at all, so we skip to "4" which shows up twice. The updated data set so far is {1,2,2,2,4,4}

Then it updates again to {1,2,2,2,4,4,5} when we account for the single "5"

Finally, the fully up to date list of values is {1,2,2,2,4,4,5,6,6,6}

Computing the mean of this set has us add up the values to get 1+2+2+2+4+4+5+6+6+6 = 38. We have that "38" show up again, which is not a coincidence. We divide over 10 because there are ten values in the fully up to date list shown above. So this is a different method to get the mean of 3.8

If you prefer this second method, then you should use it; however, I recommend the first method as it's faster and more efficient. It might be handy to try both methods just for practice.

6 0

2 years ago