Since if he gets the driveway done in 20 minutes he gets 1/20th of the driveway done in 1 minute (if x=20 then x/20=1 by dividing both sides by 20) and if his brother gets 1/12th of the driveway done in one minute, then if t represents the time it takes to shovel the driveway, t/20+t/12=1 driveway shoveled as 1/20+1/12=amount they can do in 1 minute, so t/20+t/12 is how much they can do in t minutes. Multiplying both sides by 20*12=240, we get 12t+20t=32t=240. Dividing both sides by 32, we get 240/32=7.5 minutes to shovel the driveway.
Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality for the red portion is,
slope, m = (-2/-4) = 1/2
y-intercept is 2.
y ≤ (1/2)x + 2
The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2
y-intercept is -1.
y > 2x - 1
Hence, the correct options are 2 and 3.
Learn more about Inequality:
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(-5,-10)E
(-5,-3)F
(-3,-10)G
Answer:
p ≤ 8
Step-by-step explanation:
Given the following :
Maximum weight elevator can hold ≤ 1800
Weight of delivery person and packages = 520 pounds
Average weight of a person = 160 pounds
Inequality to show how many additional people elevator can hold?
(weight of delivery person and packages + average weight of persons * number of persons) ≤ 1800
Let p = number of persons
(520 + 160p) ≤ 1800
160p ≤ 1800 - 520
160p ≤ 1280
p ≤ 1280 / 160
p ≤ 8
Answer:
<h2>12</h2>
Step-by-step explanation:
