Answer:
12. 11/18-1/6=4/9
13. 2/7+2/5=24/35
14. 3/4-3/10=9/20
Step-by-step explanation:
12. 11/18-1/6
11/18-1/6=11/18-(1/6)*(3/3)
11/18-1/6=11/18-(1*3)/(6*3)
11/18-1/6=11/18-3/18
11/18-1/6=(11-3)/18
11/18-1/6=8/18
Dividing the numerator and denominator of the fraction on the right side of the equation by 2:
11/18-1/6=(8/2)/(18/2)
11/18-1/6=4/9
13. 2/7+2/5
2/7+2/5=(2/7)*(5/5)+(2/5)*(7/7)
2/7+2/5=(2*5)/(7*5)+(2*7)/(5*7)
2/7+2/5=10/35+14/35
2/7+2/5=(10+14)/35
2/7+2/5=24/35
14. 3/4-3/10
3/4-3/10=(3/4)*(5/5)-(3/10)*(2/2)
3/4-3/10=(3*5)/(4*5)-(3*2)/(10*2)
3/4-3/10=15/20-6/20
3/4-3/10=(15-6)/20
3/4-3/10=9/20
Answer:
36
Step-by-step explanation:
(2x2)(3x3)
(4)(9)
36
x = amount of 21% alloy
y = amount of 50% alloy
The metallurgist wants a combination weighing a total of 44 lb, so
x + y = 44
Each pound of either alloy contributes either 0.21 or 0.5 pound of titanium. The final product needs to be comprised of 37% titanium; weighing at 44 lb, this means it should contain 0.37 * 44 = 16.28 lb. So
0.21x + 0.5y = 16.28
From the first equation,
x + y = 44 ==> y = 44 - x
Substitute this into the second equation and solve for x:
0.21x + 0.5(44 - x) = 16.28
-0.29x = -5.72 ==> x = 19.72
Substitute this into the first equation to solve for y:
19.72 + y = 44 ==> y = 24.28
Answer:
Step-by-step explanation:
Sample response: Use the slope formula three times: once for the first pair of points, then for the second pair of points, then for one point from each pair. If all three slopes are the same, then all the points lie on the same line.
Your answer is D. You have to find where the lines are in the middle so your answer is D.
