Answer:
6 < x ≤ 20
Step-by-step explanation:
First, let's use the points (0, 50) and (20, 0) to find the equation of the line.
m = Δy / Δx
m = (0 − 50) / (20 − 0)
m = -2.5
y = -2.5x + 50
Now find the time when y = 35.
35 = -2.5x + 50
-15 = -2.5x
x = 6
So there is less than 35 gallons in the barrel when 6 < x ≤ 20.
Answer:
x = 60
60 is 100%
Step-by-step explanation:
We will apply unitary method of solving such problems.
if 30% is 18
then 100% is x
therefore,
x = 100 * 18 / 30
x = 60
60 is 100%
Answer:
$200 : $40
(i divided 240 by 6 because there are six parts in the ratio, and got 40. 40*5=200 and the other 40 makes it 240 in the ratio of 5:1)
Step-by-step explanation:
Answer:. $70
Step-by-step explanation: FROM the information provided, we can begin to determine an equation. Now the first sentence;
1)Let the number of $5 bills be X
2)The number of $1 bills will be 3 times x....., And that gives 3x
3)The number of $10 bills will be x-2 ( From the third sentence
Adding 1)+2)+3) we must have 18 as stated in the first sentence.
Consequently, we have;
x+3x+(x-2) = 18
Solving for x we get x=4.
Now substitution the value of X in the three equations.
1) 5 of $5 bills =$25
2) 15 of $1 bills = $15
3) 3 of $10 bills =$30
Adding, we have $70
Answer:
3(34) + 20 -> Angle 6 = 122
2(34) - 10 -> Angle 3 = 58
Step-by-step explanation:
Since measure of angle 2 is equal to measure of angle 6, and measure of angle 7 is equal to measure of angle 3, we can determine the angle measures for angle 3 and angle 6.
First, we solve for x by adding together the two equations and setting it equal to 180 because of the supplementary angles theorem.
3x + 20 + 2x - 10 = 180
Combine like terms.
5x + 10 = 180
Subtract 10, then divide by 5 on both sides.
5x = 170
x = 34
Now we can plug the x value into the equations.
3(34) + 20 -> Angle 6 = 122
2(34) - 10 -> Angle 3 = 58
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