It's an 11% increase. To find this, you have to subtract 85 from 94.35 and then you divide that difference by the original amount. In this case it's 85. After that, you get .11. Then you just turn it into a percent.
Answer:
32.9 inches
Step-by-step explanation:
this can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base = 49
c = hypotenuse = diagonal = 59
l² + 49² = 59²
l² = 59² - 49²
3481 - 2401 = 1080
find the square root
32.9 in
Hello!
First of all, let's find the slope, which is the rise/run. We have the points (-4,-3) and (-2,0). To get the run there, we move to the left two units. We rise up three units as well. Therefore our slope is positive. We have rise/run, which is 3/2 as our slope.
Now, b is the y-intercept, or when our line intersects with the y-axis. We can see that it intersects at a y-value of 3.
We can write our equation below.
y=3/2x+3
I hope this helps!
Scores are {72, 97, 82, x} where x is the unknown fourth score
They add up to 72+97+82+x = x+251
Divide this sum over four because there are four scores we want to average out. We end up with (x+251)/4 = M where M is the mean. Asa wants the mean to be 82, so make M = 82.
We can replace M with 82 and solve for x like so
(x+251)/4 = M
(x+251)/4 = 82
x+251 = 4*82
x+251 = 328
x = 328-251
x = 77
Asa needs a score of 77 on the fourth test so that the mean of the four tests is 82. If she scores higher than 77 on the fourth test, then the mean will be larger than 82.
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Depending on what your teacher is looking for, the first step is to establish your variable. So you would say "let x = fourth score". However, that seems too easy. So perhaps your teacher is looking for the equation (x+251)/4 = 82 or some variant of it.
