Which expression can be used to find the volume of the cylinder in this composite figure?
2 answers:
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Answer:
Rob saved $24 on Saturday.
Step-by-step explanation:
Given:
Rob is saving to buy a new MP3 player.
Money earned in baby sitting = $11
Money saved =$6
First we will find the Percentage of amount he saved.
Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.
framing in equation form we get;
Percentage of amount he saved =
Now Given:
Money earned in babysitting on Saturday = $44
We need to find the Money he saved on Saturday.
Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.
framing in equation form we get;
Money Saved on Saturday =
Hence Rob saved $24 on Saturday.
Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then
20x+17.5y+30z=300.
Now
- in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
- in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
- in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
- in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.
Then 4x+4.725y+7.5z=66.
You get a system
From the first equation Substitute it into the second equation:
Simplify it:
y must be divided by 20, then
- y=0, x=9, z=10-6=4;
- y=20, x=16, z is not a whole number;
- y=40, x=23, z is not a whole number;
- y=60, x=30, z=10-20-35<0;
- thus, all other possible z will be <0.
Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.