Slope is the change in Y ( vertical) over the change in X( horizontal).
The slope would be -2 /3
You would multiply the horizontal distance by the slope:
-2/3 x 12 = -8
The answer would be D. v(h)=-2/3h, and the vertical distance is -8 feet.
Answer:
1 pear = $0.45
1 mango = 1.5
Step-by-step explanation:
8 pears + 5 mangoes = $11.10 ➡ 8p + 5m = 11.10
5 pears + 4 mangoes = $8.25 ➡ 5p + 4m = 8.25
multiply first equation by -4 and second one by 5
-4 ×(8p+5m) = 11.10 ➡ -32p - 20m = 44.4
5 ×(5p+4m) = 8.25 ➡ 25p + 20m = 41.25
add both equations up
-32p - 20m + 25p + 20m = 44.4 + 41.25
-7p = 3.15 ➡ p = $0.45
use this value to find the price of mango
5×0.45 + 4×m = 8.25 ➡ 2.25 + 4m = 8.25 ➡ 4m = 6 ➡ m = $1.5
For the first system, we have
1 - 3x + 3y = -8
or
-3x + 3y = -9
The second equation, however, tells us
-3x + 3y = 13
but -9 ≠ 13, so this system has no solution.
For the second system, notice that multiplying both sides of
4x - 8y = 6
by 1/2 gives
2x - 4y = 3
which is identical to the other equation in the system. Then all point (x, y) that lie on this line are solutions to the system, meaning there are infinitely many solutions.
You need to find common factors. The factors of 88 are 1 and 88, 2 and 44, 4 and 22, and 8 and 11. The factors of thirty are 1 and 30, 2 and 15, and 5 and 6. The greatest common factor is 2 so the ratio is 44:15.
Answer:
B. 4 miles
Step-by-step explanation:
Jim ran a total of ...
6.5 +5 +3 +2 +3.5 +4 = 24 . . . . miles
Then his average was ...
(24 miles)/(6 days) = 4 miles/day
