Answer:
40% is the solution 10÷25=0.40 which is well 40%
For this case we have the following expression:
![4 ^ {\frac {3} {8}}](https://tex.z-dn.net/?f=4%20%5E%20%7B%5Cfrac%20%7B3%7D%20%7B8%7D%7D)
By definition of properties of powers and roots we have to:
![a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}](https://tex.z-dn.net/?f=a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D)
Then, we can rewrite the expression as:
![\sqrt [8] {4 ^ 3}](https://tex.z-dn.net/?f=%5Csqrt%20%5B8%5D%20%7B4%20%5E%203%7D)
Answer:
![4 ^ {\frac {3} {8}} = \sqrt [8] {4 ^ 3}](https://tex.z-dn.net/?f=4%20%5E%20%7B%5Cfrac%20%7B3%7D%20%7B8%7D%7D%20%3D%20%5Csqrt%20%5B8%5D%20%7B4%20%5E%203%7D)
Answer:
![\frac{31}{70}\ lb](https://tex.z-dn.net/?f=%5Cfrac%7B31%7D%7B70%7D%5C%20lb)
Step-by-step explanation:
Given:
They used 1/2 lb flour to make the bread.
They used 1/7 lb less flour to make bread than to make cookies
So they used flour to make the cookies = ![\frac{1}{2}+\frac{1}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B7%7D)
= ![\frac{7+2}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B7%2B2%7D%7B14%7D)
= ![\frac{9}{14}\ lb](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B14%7D%5C%20lb)
Therefore they used
flour to make the cookies.
She used 1/5 lb more to make cookies than to make brownies.
So they used cookies to make the brownies = ![\frac{9}{14}-\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B14%7D-%5Cfrac%7B1%7D%7B5%7D)
= ![\frac{5\times 9 - 14}{70}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Ctimes%209%20-%2014%7D%7B70%7D)
= ![\frac{45 - 14}{70}](https://tex.z-dn.net/?f=%5Cfrac%7B45%20-%2014%7D%7B70%7D)
= ![\frac{31}{70}\ lb](https://tex.z-dn.net/?f=%5Cfrac%7B31%7D%7B70%7D%5C%20lb)
Therefore they used
flour to make the brownies.
Ok. So first, we calculate the slope!
m=(y2-y1)÷(x2-x1)= (5-2)÷(3-1)=3/2.
Now that we have the slope, we can start to write an equation for the line by plugging in the given points. b is the y-intercept.
y=mx+b.
2=(3/2)1+b
b=2-(3/2)=2-1.5=.5 or 1/2
so the y-int is (0,.5 or 1/2) .
Next, we have to find the x-int.
to do that, we just plug in 0 for the y.
0=1.5x+.5
x=-.5/1.5= (1/3)
so the x-intercept is
(1/3 or .33,0).