Joshua delivered 30 hives to the local fruit farm.
If the farmer has paid to use 5% of the total number of Joshua's hives.
So 30 hives is 5% of the total number of hives.
5% of hives = 30
1% of hives = 30 ÷ 5 = 6
100% of hives = 6 × 100 = 600
Thus, Joshua had 600 hives before selling.
Now, he has = 600 - 30 = 570 hives.
Now, Joshua has 570 hives.
4:9
24:x
Set up a proportion
4/9=24/x
4x=216
x=54
a) 54 is your answer
hope this helps, and please give brainliest if it does!
Use T and J as names.
T=2x
J=3T but T=2x, so
J=3(2x) = 6x
J=6x
We know that
The mixture in Tank A is 5/(5+10) = 1/3 pure alcohol.
The mixture in Tank B is 3/(3+12) = 1/5 pure alcohol.
We want to combine these to make a mixture that is 25% = 1/4 pure alcohol.
Let
x------------------> the volume in gallons of solution taken from Tank A.
y------------------>the volume in gallons of solution taken from Tank B
Then
the volume taken from Tank B will be y=(8 -x)
remember that we are making a total of 8 gallons of solutions.
The alcohol content of the mixture is(1/3)x +(1/5)(8 -x) = (1/4)*85x + 3(8 -x) = 30 ----------> 5x+24-3x=30----------> 5x-3x=30-24
2x = 6 ----------------> x=3
y=8-x--------> y=8-3-----> y=5
the answer is
3 gallons should be taken from Tank A;
5 gallons should be taken from Tank B
