Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required
Step-by-step explanation:
Let x represent the quantity of the soil containing 50% clay that you would use.
Let y represent the quantity of the soil containing 28% clay that you would use.
To build the garden of your dreams you need 11 m^3 of soil.
x + y = 11 - - - - - - - - -1
Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.
you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be
0.5x + 0.28y = 5.06 - - - - - - - -2
Substituting x = 11 - y into equation 1, it becomes
0.5(11 - y) + 0.28y = 5.06
5.5 - 0.5y + 0.28y = 5.06
- 0.5y + 0.28y = 5.06 - 5.5
- 0.22y = - 0.44
y = - 0.44/ -0.22 = 2
Substituting y = 2 into x = 11 - y, it becomes
x = 11 - 2 = 9
For the amount of time their spending i think it would take more than a humans lifetime to make a quarter of a decoration.
Answer:
Second choice:
Fifth choice:
Step-by-step explanation:
Let's look at choice 1.
I'm going to subtract 1 on both sides for the first equation giving me . I will replace the in the second equation with this substitution from equation 1.
Expand using the distributive property and the identity :
So this not the desired result.
Let's look at choice 2.
Solve the first equation for by dividing both sides by 2:
.
Let's plug this into equation 2:
This is the desired result.
Choice 3:
Solve the first equation for by adding 3 on both sides:
.
Plug into second equation:
Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:
Not the desired result.
Choice 4:
I'm going to solve the bottom equation for since I don't want to deal with square roots.
Add 3 on both sides:
Divide both sides by 2:
Plug into equation 1:
This is not the desired result because the variable will be squared now instead of the variable.
Choice 5:
Solve the first equation for by subtracting 1 on both sides:
.
Plug into equation 2:
Distribute and use the binomial square identity used earlier:
.
This is the desired result.
Well, what you're going to do is.. turn 3 1/2 into an irregular fraction.
3 = 6/2
we still have the initially 1/2 left so we will add that.
7/2
now we want to change it so that the denominator is equal to 4 so we multiply both top and bottom by 2
14/4
now we divide the 14 by 3 and you will get approximately 4. we will ignore the rest because it asks for whole servings and 3 only goes nicely into 14 4 times
Step-by-step explanation:
y = kx, where k is the constant of proportionality. (1)
Therefore y = x and line B depicts that.