Answer:
10). 5x + (7x + 6) = 90
11). x = 7
Step-by-step explanation:
From the picture attached,
Sum of given angles measures 90°
Measures of the angles are (5x)° and (7x + 6)°
Therefore, equation to determine the values of x will be,
5x + (7x + 6) = 90
By combining similar terms of the equation,
12x + 6 = 90
12x = 90 - 6
12x = 84
x = 
x = 7
Therefore, by solving the equation value of x will be 7.
5 calories per minute
1/2 is your slope.
Answer:
-3/2
Step-by-step explanation:
Using the slope formula, we can find the slope of the line shown
m = ( y2-y1)/(x2-x1)
= ( -1-3)/(-3-3)
= -4/-6
= 2/3
A line that is perpendicular is the negative reciprocal
-1/ (2/3) = -3/2
4)
pine tree is most numerous on tree farm which is 40%
5)
if 480 trees total,
pine trees = 480 x 0.40 = 192 trees
6)
if 480 trees total,
spruce trees = 480 x 0.30 = 144 trees
(p.s. also firm trees = 144 (same as spruce trees)
so we have 3 folks painting 4 walls, now each one of them works for 32 minutes
person 1............. 32 mins
person 2............. 32 mins
person 3............. 32 mins
for a total of 32+32+32 = <u>96 minutes worth of work</u>. That's for 4 walls, how many minutes worth is just 1 wall?
96 ÷ 4 = 24 mins.
so to paint a wall, it takes 24 mins of work worth.
so then, to paint 7 walls, that'd be 7 * 24 = 168 minutes worth of work.
what about for 4 folks doing it? How many times does 4 go into 168? 168 ÷ 4 = 42 mins.
