Let the number of gallons consumed be the first car be x, and that of the second car, y. Then:
x + y = 50 . . . . . . . (1)
20x + 15y = 850. . . (2)
(1) x 20 => 20x + 20y = 1000 . . . (3)
(2) - (3) => -5y = -150 => y = -150/-5 = 30
From (1), x + 30 = 50 => x = 50 - 30 = 20
Therefore, first car consumed 20 gallons and the second consumed 30 gallons.
Answer:
-9/8
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
using (1,1) and (10,9)
m = (9 - 1)/(10 - 1)
m = (8)/(9)
m = 8/9
slope of line g is 8/9
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of h is -9/8
Answer:
The jar contains 132 grams of zinc
Step-by-step explanation:
zinc to copper = 3 : 19
New equivalent weights
zinc to copper = x : 836
Now, let us solve for x as follows
the jar contains 132 grams of zinc
To check if the answer is accurate, the answer gotten when the weight of zinc is divided by copper will be the same for both the old and new ratios:
old ratio: 3 ÷ 19 = 0.158
new ratio: 132 ÷ 836 = 0.158
Triangle is equal 180 degrees. Given values, 70 + 35 = 105
Meaning, you find what ‘more’ degrees are needed to get 180
180 - 105 = 75 degrees
70 + 35 + 75 = 180
x = 75
