Answer:
Joan's older sister weighs 90 pounds
Step-by-step explanation:
x = older sister
x - 10 = Joan
(x + (x-10))/2 = 85
2x - 10 = 170
2x = 180
x = 90
Answer:
A.![2(3^{\frac{1}{3}})-\sqrt[3]{18}](https://tex.z-dn.net/?f=2%283%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29-%5Csqrt%5B3%5D%7B18%7D)
Step-by-step explanation:
We are given that
![\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})](https://tex.z-dn.net/?f=%5Cfrac%7B6-3%28%5Csqrt%5B3%5D%7B6%7D%7D%7B%5Csqrt%5B3%5D%7B9%7D%7D%29)
We have to find the quotient.
![\frac{6}{\sqrt[3]{9}}-3(\frac{\sqrt[3]{6}}{\sqrt[3]{9}})](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Csqrt%5B3%5D%7B9%7D%7D-3%28%5Cfrac%7B%5Csqrt%5B3%5D%7B6%7D%7D%7B%5Csqrt%5B3%5D%7B9%7D%7D%29)
![\frac{2\times 3}{\sqrt[3]{3^2}}-3(\frac{\sqrt[3]{3\times 2}}{\sqrt[3]{3^2}})](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes%203%7D%7B%5Csqrt%5B3%5D%7B3%5E2%7D%7D-3%28%5Cfrac%7B%5Csqrt%5B3%5D%7B3%5Ctimes%202%7D%7D%7B%5Csqrt%5B3%5D%7B3%5E2%7D%7D%29)

Using the property


Using the property




![2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{3^2}](https://tex.z-dn.net/?f=2%283%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29-2%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5Ctimes%20%5Csqrt%5B3%5D%7B3%5E2%7D)
![2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{9}](https://tex.z-dn.net/?f=2%283%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29-2%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5Ctimes%20%5Csqrt%5B3%5D%7B9%7D)
![2(3^{\frac{1}{3}})-\sqrt[3]{2\times 9}](https://tex.z-dn.net/?f=2%283%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29-%5Csqrt%5B3%5D%7B2%5Ctimes%209%7D)
![2(3^{\frac{1}{3}})-\sqrt[3]{18}](https://tex.z-dn.net/?f=2%283%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29-%5Csqrt%5B3%5D%7B18%7D)
Hence, the quotient of
is given by
![2(3^{\frac{1}{3}})-\sqrt[3]{18}](https://tex.z-dn.net/?f=2%283%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29-%5Csqrt%5B3%5D%7B18%7D)
Option A is correct.
Answer 1200
Step-by-step explanation:
Answer:
3x + 4y = 7
Step-by-step explanation:
The slope = difference of y values / corresponding difference in x values of the 2 points.
Here it is (4 - (-2) / (-3 - 5)
= 6 /-8 = -3/4.
Now we use the point/slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.
We take the point (5, -2) and m = -3/4:
y - (-2) = -3/4 (x - 5)
y + 2 = -3/4x + 15/4
y = -3/4 x + 15/4 - 8/4
y = -3/4 x + 7/4 This is the equation in slope/intercept form.
To convert it to standard form we multiply through by 4 and rearrange:
4y = -3x + 7
3x + 4y = 7 is standard form.
136 sq km ÷8km is 17, because 8 in 136 can go into 13 once and 13 -8 =5 , thdn you bring down the 6 and 56 ÷8=7 so its 17