Set up two equations:
1st: P (for Price family) + J (for Jenkins family) = 45 hours
2nd: 20P + 35J = 1200 liters
Rewrite the first equation as P = 45 – J
Replace P in the second equation:
20(45-J) + 35J = 1200
Simplify:
900 -20J + 35J = 1200
900 +15J = 1200
Subtract 900 from both sides:
15J = 300
Divide both sides by 15:
J = 300/15
J = 20
Jenkins used theirs for 20 hours
Price used theirs for 45-20 = 25 hours.
Answer: 4.5 units
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
The solution set can be found by dividing the inequality by the coefficient of x.
6x > 7
x > 7/6
The smallest integer greater than 7/6 is 12/6 = 2.
The smallest integer solution is x = 2.
Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2
Answer:
Probability of picking Red ball is 27.5%
Step-by-step explanation:
Given:
Total Number of balls = 200
Number of White balls = 100
Number of Red balls = 55
Number of Black balls = 45
We need to find the probability of the ball picked to be red.
Solution:
Now we know that;
Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.
framing in equation form we get;



Hence Probability of picking Red ball is 27.5%.