She used 12 cups of flour.
Make a proportion to where 8/8 equals 32.
3/8 equals ?/32
Then cross multiply and divide.
32 x 3 = 96
96/8 = 12
You can also think of it like this. What number times 8 will get you 32?
Well that’s 4.
So 3 x 4 = 12
Since they are proportions of each other what the bottom is multiplied the top must be as well
Answer:
x = 8
x = 21/14
x = 8
x = 15/21
x = 1/4
x = 7
Step-by-step explanation:
(For all instances of number, let it be x)
Double the sum of a number and 15. The result is the same as the product of 23 and the number.
2x + 15 = 23 + x
2x - x + 15 = 23 + x - x
x + 15 = 23
x + 15 - 15 = 23 - 15
x = 8
Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.
15x + 2 = 23 + x
14x + 2 = 23
14x = 21
x = 21/14
Double a number and add 15. The result is the same as the sum of 23 and the number.
2x + 15 = 23 + x
x + 15 = 23
x = 8
Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)
2x + 15 = 23x
15 = 21x
x = 15/21
Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.
15x + 2 = 23x
2 = 8x
2/8 = x
x = 1/4
Double the sum of a number and 15. The result is the same as the sum of 23 and the number.
2(x + 15) = 23 + x
2x + 30 = 23 + x
x + 30 = 23
x = 7
200/19.30 is the problem, the solution is 10.3626943 and if you round that it is 10.26. I hope this helps you!
-110x+40
You need to use the distributive property for this problem
You multiply 22x times -5 (which is -110x) and -8 times -5 (which is 40) to get -110x+40
<h3>
Answer: perpendicular</h3>
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Work Shown:
Use the slope formula to find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (f-0)/(e-0)
m = f/e
Let p = f/e so we can compare the slope later
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Use the slope formula to find the slope of line CD
m = (y2-y1)/(x2-x1)
m = (0-e)/(f-0)
m = -e/f
Let q = -e/f so we can compare the slope later
---------------
We have
- p = f/e which is the slope of AB
- q = -e/f which is the slope of CD
Multiply the values of p and q
p*q = (f/e)*(-e/f) = (f(-e))/(ef) = (-ef)/(ef) = -1
since p*q = -1, this means the lines AB and CD are perpendicular. They form a 90 degree angle.
