Answer:
73
Step-by-step explanation:
72 - 35 = 107
180 - 107 = 73
107 + 73 = 180
Answer:
Step-by-step explanation:
<u>Find the area of the rectangle:</u>
- A = (3 + 12)*7 = 15*7 = 105 cm²
<u>Find the area of triangles:</u>
- A = 1/2(3 + 15 - 9)*7 = 1/2*9*7 = 31.5 cm²
<u>Find the shaded area:</u>
- A = 105 - 31.5 = 73.5 cm²
Answer:
y = (-2/3)x + 5/6
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of "m". To find the value of "b", you can plug the slope and the values from the point (2, -1/2) into the general equation.
m = -2/3
Point (2, -1/2):
x = 2 and y = -1/2
y = mx + b <----- Slope-intercept form
y = (-2/3)x + b <----- Insert -2/3 in "m"
-1/2 = (-2/3)(2) + b <----- Insert "x" and "y" values from point
-1/2 = -4/3 + b <----- Multiply -2/3 and 2
-3/6 = -8/6 + b <----- Give the fractions common denominators
5/6 = b <----- Add 8/6 to both sides
Thus, the equation of the line is:
y = (-2/3)x + 5/6
I just wrote the answer on paper as it would’ve been too confusing just typing it
Answer:
57.2 minutes
Step-by-step explanation:
One way in which to solve this problem is to write and solve an equation of ratios:
6.5 mi x
------------ = -----------
10 mi 88 min
Cross-multiplying, we get:
10x = 572
Then x = 57.2 minutes (to run this 6.5 mile race)
