Use this systems of equations to solve:
x = first antifreeze
y = second antifreeze
Isolate y.
x + y = 15
Subtract x from both sides.
y = -x + 15
Substitute y into the other equation.
.2x + .12(-x + 15) = .18(15)
Simplify.
.2x - .12x + 1.8 = 2.7
Subtract 1.8 from both sides.
.08x = .9
Divide both sides by .08
x = 11.25
Substitute x in the equation that we isolated y in.
y = -11.25 + 15
y = 3.75
11.25 L of the first antifreeze and 3.75 L of the second.
Answer:
7 7/12 pounds of fruit
Step-by-step explanation:
First, add all of the whole numbers
2 + 1 + 3= 6 (save for later)
then find a common denominator between the fractions which is 12
1/3 = 4/12
5/6 = 10/12
4/12 + 10/12 + 5/12 = 19/12 or 1 7/12
now, add 1 7/12 + 6 to get you 7 7/12
hope this helps
Answer:
The mean is 12, The median is 13, The mode is 14, and the range is 8.
The second choice is the correct answer.
Explanation:
- I found the mean by adding up all the numbers and dividing by the number of numbers, or sun divided by count. The sum of the numbers was 132, and the count was 11. I divided 132 by 11 to get 12.
- I listed the numbers in order from least to greatest. The data set was: 7, 8, 10, 12, 12, 13, 13, 14, 14, 14, 15
- I found the median by crossing off the number on each end of the data set, and kept going. For example, I crossed off 8, and then 15, and then 10, and then 14 and so on until I got to the middle number. (Keep in mind, if there are two middle numbers, find the mean of them [add them and divide by two])
- The mode is the number that shows up the most in the data set, so I looked at the data set and saw that 14 showed up 3 times, more times than any other number.
- The range is the difference between the greatest and least number (maximum and minimum) so I just subtracted 15 - 7 to get a difference of 8.
I have no idea i’m struggling my self
Answer:
FS = 48
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so
FB = 2 BS = 2 × 16 = 32
Then
FS = FB + BS = 32 + 16 = 48
