Answer:
yeet
Step-by-step explanation:
Step-by-step explanation:
According to Boyle's Law :
Answer: the right answer is the last one
Step-by-step explanation: x= minutes and minutes there is 8 so the answer in the last one sixth.
Answer:
15+6+2=23
Step-by-step explanation:
![\sqrt[3]{\frac{9\sqrt{5}}{2\sqrt{3}}\cdot\frac{5\sqrt{2}}{8\sqrt{2}}}\\=\sqrt[3]{\frac{9\sqrt{5}}{2\sqrt{3}}\cdot\frac{5}{8}}\\=\sqrt[3]{\frac{45\sqrt{5}}{16\sqrt{3}}}\\=\sqrt[3]{\frac{45\sqrt{15}}{16}}\\=\sqrt[3]{\frac{3\cdot\sqrt{15^3}}{16}}\\=\frac{\sqrt[3]{3}\cdot\sqrt{15}}{2\cdot\sqrt[3]{2}}\\=\frac{\sqrt[3]{6}\cdot\sqrt{15}}{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B9%5Csqrt%7B5%7D%7D%7B2%5Csqrt%7B3%7D%7D%5Ccdot%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7B8%5Csqrt%7B2%7D%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B9%5Csqrt%7B5%7D%7D%7B2%5Csqrt%7B3%7D%7D%5Ccdot%5Cfrac%7B5%7D%7B8%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B45%5Csqrt%7B5%7D%7D%7B16%5Csqrt%7B3%7D%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B45%5Csqrt%7B15%7D%7D%7B16%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%5Ccdot%5Csqrt%7B15%5E3%7D%7D%7B16%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B3%7D%5Ccdot%5Csqrt%7B15%7D%7D%7B2%5Ccdot%5Csqrt%5B3%5D%7B2%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B6%7D%5Ccdot%5Csqrt%7B15%7D%7D%7B2%7D)
we want it in the form of ![\frac{\sqrt{a}\sqrt[3]{b}}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Ba%7D%5Csqrt%5B3%5D%7Bb%7D%7D%7Bc%7D)
, so a = 15, b=6, c=2
also this is the minimum possible value, as we cannot simplify it further
X= # of multiple choice questions
y= # of word problem questions
EQUATION 1:
x + y= 25
EQUATION 2:
3x + 4y= 90
STEP 1:
solve for one variable in equation 1
x + y= 25
subtract y from both sides
x= 25 - y
STEP 2:
substitute x=25-y in equation 2
3x + 4y= 90
3(25-y) + 4y= 90
75 - 3y + 4y= 90
75 + y= 90
subtract 75 from both sides
y= 15 word problems
STEP 3:
substitute y value to find x
x + y= 25
x + 15= 25
x= 10 multiple choice questions
ANSWER: There are 15 word problems and 10 multiple choice questions.
Hope this helps! :)
