<h2>○=> <u>Solution (1)</u> :</h2>
Ratio of people who said they like cereal bars to people who said they don't = 14:11
Number of people at a grocery shop = 500
Which means :




Thus, 280 people would buy cereal bars.
▪︎Therefore, out of 500 people, <em>280 people</em> would buy cereal bars.
<h2>○=> <u>Solution (2)</u> :</h2>
Ratio of cars which worked well to cars which were defective = 297:3
Number of care produced each day = 1000
Number of defective cars produced each day :




Thus, 15 defective cars are produced.
▪︎Therefore, out of 1000 cars produced each day, <em>15 cars</em> are defective.
Answer:
A. Sheila lives closer to the library
Step-by-step explanation:
Answer:
a. y = 3x - 11
b. y = -1/3 x - 1
Step-by-step explanation:
The line on the graph increases by 3 every time it moves over 1. This means that the slope of the given line is 3.
a. When 2 equations are parallel, their slopes are the same, so the slope of this equation will be 3. To find the y-intercept, plug in the values of the slope and the given point (3, -2) into the equation y = mx + b:
-2 = 3(3) + b
-2 = 9 + b
-11 = b
The y-intercept is -11. Now we can write our equation:
y = 3x - 11
b. When 2 lines are perpendicular, their slopes are negative reciprocals. The negative reciprocal of 3 is -1/3. We can use the slope and the given point (3, -2) to find the y-intercept:
-2 = -1/3(3) + b
-2 = -1 + b
-1 = b
The y-intercept is -1. Now we can write our equation:
y = -1/3x - 1
Hope this helps :)
1.
x+4=3x
4=3x-x
4=2x
x=2
2.
x-8=-9
x=-9+8
x=-1
3.
4m+5-3m
4m-3m=-5
m=-5