Answer:
x = 27
Step-by-step explanation:
Length = 6x
Width = 1/3(6x) = 2x
Height = 1/2(6x) = 3x
6x × 2x × 3x = 36
972/36x = 27
x = 27
Answer:
D 1/4
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Answer:
3) not equivalent
4) equivalent multiply by 2
5) equivalent multiply by 2
Answer:
y-intercept is (0,30); x-intercept is (52.5,0).
Step-by-step explanation:
Note that as x increases by 7 from -35 to -28, y decreases by 4 from 18 to 14. Thus, the slope of this line is
m = rise / run = -4/7.
Let's find the equation of the line. Start with the slope-intercept form:
y = mx + b. Use the slope m = -4/7 and the point (-28, 14) to find b:
14 = -(4/7)(28) + b, or
14 = -16 + b. Then b = 30, and the equation of the line in slope-intercept form is y = (-4/7)x + 30. The y-intercept is (0, 30).
Find the x-intercept by setting y=0 and solving the resulting equation for x:
y = (-4/7)x + 30 becomes (4/7)x = 30, and x = (7/4)(30) = 214, or 52.5.
The x-intercept is thus (52.5, 0).