Answer:
the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.
Step-by-step explanation:
With the statement we can make a system of 2x2 equations, where:
"x" is the area of the first field
"y" is the area of the second field
However,
x + y = 56 => x = 56 - y
3/4 * x + 2/3 * y = 40
replacing we have:
3/4 * (56 - y) + 2/3 * y = 40
42 - 3/4 * y + 2/3 * y = 40
-0.0833 * y = 40 - 42
y = -2 / -0.0833
y = 24
now for x:
x = 56 - 24
x = 32
This means that the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.
Answer:
a) 115°
b) 140°
c) 75°
d) 255°
Step-by-step explanation:
a) another line parallel to AB through E will split x into two sectors.
Parallel lines intersected by a third line makes opposite internal angles of equal value. Supplemental angles add to 180°
x = (180 - 120) + (180 - 125) = 115°
b) double application of parallel lines intersected by a third line making corresponding angles identical.
c) more of the same
d) more of the same
Answer: Maria payed $58.00 for her jacket BEFORE tax.
Step-by-step explanation:
To find the answer to this question, we must first multiply 72.50 by 0.20. After doing so, we get 14.5 (this is the sale money). Finally, we subtract $72.50-14.5 to get out answer, 58 dollars.
The change in x between the two is 3 and the change in y is -9.
Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
Answer:
6r + 7 = 13 + 7r
subtract 6r from both sides...
7 = 13 + r
subtract 13 from both sides...
-6 = r
r = -6
Step-by-step explanation:
