Answer:
The amount of steel used = 94.38 
Step-by-step explanation:
Height of the tank = 4.5 m.
Diameter of the tank = 4.2 m.
But,
radius = 
= 
radius = 2.1 m
Total surface area of a cylinder = 2
rh + 2
= 2r(r + h)
= 2 x 
x 2.1 (2.1 + 4.5)
= 44 x 0.3 (6.6)
= 87.12
Total surface area of a cylinder = 87.12
Since 
of the steel was wasted, then;
x 87.12 = 7.26
Actual area of steel sheet used = 87.12 + 7.26
= 94.38
Thus, 94.38 of steel was used in making the tank.
What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.
What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?
Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L
Now, add both synthetic oil and natural oil to find amount of petrolyn oil.
355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil
Answer:
- <u><em>The cost of one rose bush is $ 9 and the cost on one bunch pf ornamental grass is $ 8.</em></u>
Explanation:
Name the variables and build a system of two equations with two unknowns.
<u>1. Variable r</u>: cost of one rose bush
<u>2. Variable g</u>: cost of one bunch of ornamental grass.
<u>3. First equation</u>:
- Shreya spent $68 on 4 rose bushes and 4 bunches of ornamental grass.
4r + 4g = 68
<u>4. Second equation</u>:
- Beth spent $115 on 11 rose bushes and 2 bunches of ornaments grass.
<u>5. System of equations</u>:
- 11r + 2g = 115 equation 2
<u>6. Solve the system</u>
a) Divide the equation 1 by 2:
- 11r + 2g = 115 equation 2
b) Subtract equation 1a from equation 2:
c) Substitute the value of r into the equation 1a:
<u>7. Conclusion</u>:
The cost of one rose bush is $ 9 and the cost on one bunch pf ornamental grass is $ 8.
