Answer:
6 bags
Step-by-step explanation:
This problem is essentially asking how many (
) peanut bags can one fill with (
) pounds of peanuts. This problem can be solved by divided (
) by (
). Set up the problem,
÷ ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).
![4 * \frac{3}{2}](https://tex.z-dn.net/?f=4%20%2A%20%5Cfrac%7B3%7D%7B2%7D)
Multiply,
![\frac{12}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B2%7D)
Simplify,
![6](https://tex.z-dn.net/?f=6)
Answer:
x = 4
Step-by-step explanation:
![\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B2x-1%7D%20%3D%20%5Cfrac%7B10%7D%7B5%7D%20%5C%5C10%282x-1%29%20%3D%205%2A14%5C%5C20x%20-%2010%20%3D%2070%5C%5C20x%20%3D%2070%2B10%5C%5C20x%20%3D%2080%5C%5Cx%20%3D%2080%3A20%5C%5Cx%20%3D%204)
So you place the decimal where they both are placed the same.Then you add and get 6.909.Trust me you gonna get ur answer right;)
Answer:
y = -x + 3
Step-by-step explanation:
I graphed the equation on the graph below to show you that it goes through (-1,4) and is perpendicular to y = x.
Answer:
29.7 for question 14
15a is 12.1
15b is 14
Step-by-step explanation:
In a 45 45 90 triangle, the legs are congruent, or the same length.
If we call the legs a, then the hypotenuse would be root 2 a.
So if the hypotenuse is 42, we divide by root 2 to get the length of each leg.
That should give us 29.7
In a 30, 60, 90 triangle, the short side is a, then the hypotenuse is 2a, and the longer side is a root 3.
So if the shorter side is 7, the longer side is 12.1, and the hypotenuse is 14.