'of' means muiptly
4/5 of a pizza
'a pizza' means 1 whole pizza
4/5 of 1=4/5
eats 2/3 of that share (meaning 4/5)
2/3 of 4/5=2/3 times 4/5=8/15
so she ate 8/15 of pizza
Answer:
3/n - 10
Step-by-step explanation:
Subtracted from means it comes after
Quotient means divide
3/n - 10
Step 1
find the total volume of the fish tank
volume of a rectangular prism=51*39*28----> 55692 cm³
step 2
find the 95% of the volume of the tank fish
95%=55692 cm³*.95-----> 52907.40 cm³
step 3
find the 5% of the volume of the tank fish
5%=55692*0.05----> 2784.6 cm³
or
55692-52907.4=2784.6 cm³
step 4
find the volume of the log
volume of a cylinder=pi*r²*h
r=5 cm
h=44 cm
volume of a cylinder=pi*5²*44-----> 3454 cm³
step 5
<span>water spills out of the tank=volume of the log-volume of the 5% of the tank
</span>water spills out of the tank=3454 cm³-2784.6 cm³-----> 669.40 cm³
the answer is
669.40 cm³
X = -3 (Given)
So, x-2 = (-3) - 2 = -5
Answer: There are 34.35 liters left in the test tube.
Step-by-step explanation:
Since we have given that
Depth of the tube = 9 inches
Circumference of base=4 inches
As we know the formula of circumference ,
![Circumference=2\pi r\\\\4=2\times \frac{22}{7}\times r\\\\4\times{7}{22\times 2}=r\\\\\frac{7}{11}=r](https://tex.z-dn.net/?f=Circumference%3D2%5Cpi%20r%5C%5C%5C%5C4%3D2%5Ctimes%20%5Cfrac%7B22%7D%7B7%7D%5Ctimes%20r%5C%5C%5C%5C4%5Ctimes%7B7%7D%7B22%5Ctimes%202%7D%3Dr%5C%5C%5C%5C%5Cfrac%7B7%7D%7B11%7D%3Dr)
Now, we need to find the volume of tube is given by
![\text{ Volume of test tube }=\pi r^2h\\\\\text{ Volume of test tube }=\frac{22}{7}\times \frac{7}{11}\times \frac{7}{11}\times 9\\\\\text{ Volume of test tube }=\frac{126}{11}=11.45\ inches^3](https://tex.z-dn.net/?f=%5Ctext%7B%20Volume%20of%20test%20tube%20%7D%3D%5Cpi%20r%5E2h%5C%5C%5C%5C%5Ctext%7B%20Volume%20of%20test%20tube%20%7D%3D%5Cfrac%7B22%7D%7B7%7D%5Ctimes%20%5Cfrac%7B7%7D%7B11%7D%5Ctimes%20%5Cfrac%7B7%7D%7B11%7D%5Ctimes%209%5C%5C%5C%5C%5Ctext%7B%20Volume%20of%20test%20tube%20%7D%3D%5Cfrac%7B126%7D%7B11%7D%3D11.45%5C%20inches%5E3)
Since we have also given that,
Of 1 cubic inch of space holds 3 liters of water,
So,
![1\text{ cubic inch}=3\text{ liters}\\\\11.45\text{ cubic inches}=3\times 11.45=34.35\text{ liters}](https://tex.z-dn.net/?f=1%5Ctext%7B%20cubic%20inch%7D%3D3%5Ctext%7B%20liters%7D%5C%5C%5C%5C11.45%5Ctext%7B%20cubic%20inches%7D%3D3%5Ctimes%2011.45%3D34.35%5Ctext%7B%20liters%7D)
Hence, there are 34.35 liters left in the test tube.