Let x = sue
and then let 3x-84 = marcia
therefore
(x)+(3x-84)=132
4x-84=132
4x=216
x=54
however just solving for x doesnt completely solve. it only shows sues money because x = sue
for marcia
3x-84
3(54)-84
162-84
78
therefore Marcia has 78$.
Answer:
60 copies
Step-by-step explanation:
75 copies in total, 4/5 of them were sold yesterday. 75 x 4/5 = 60 copies sold yesterday.
There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.
Answer:
![\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csqrt%7B81%2B18%5Csqrt7%2B7%7D%3D9%2B%5Csqrt7%7D)
Step-by-step explanation:
![\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7](https://tex.z-dn.net/?f=%5Csqrt%7B81%2B18%5Csqrt7%2B7%7D%3D%28%2A%29%5C%5C%5C%5C81%3D9%5E2%5C%5C7%3D%28%5Csqrt7%29%5E2%5C%5C18%5Csqrt7%3D%282%29%289%29%28%5Csqrt7%29%5C%5C%5C%5C%28%2A%29%3D%5Csqrt%7B9%5E2%2B%282%29%289%29%28%5Csqrt7%29%2B%28%5Csqrt7%29%5E2%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5C%3D%5Csqrt%7B%289%2B%5Csqrt7%29%5E2%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%5Csqrt%7Ba%5E2%7D%3D%7Ca%7C%5C%5C%5C%5C%3D%7C9%2B%5Csqrt7%7C%3D9%2B%5Csqrt7)
You could draw them as cubes/blocks and have them be labeled as worth 100,10 and 1. so you would have 3 100's 4 tens and 5 ones is less then 3 100's 9 tens and one one.