40 POINTS 2 questions
2 answers:
Answer:
First Question: A
Second Question: A
Step-by-step explanation:
First question
The trick is to be able to copy and place the graph so that the two coordinate systems are the same. Desmos is very good at that kind of thing. The graph is given to you on the right upload.
From this you can see that the points that solves the inequalities is anything to the left and above the point (4.8,0.4) which is marked. Therefore the answer is DACK which is A
Part B
The problem is in the testing. You can build 20 children's bikes and 6 adult bikes in less than 120 hours.
Building:20*4 + 6*6 = 80 + 36 = 116 hours. that's less than 120 so you're good
Testing: 20 + 6*4 = 80 + 24 = 104 hours. That's not less than 100.
The answer is A
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Answer:
The equation to represent the amount of water that the tank contains after the pump was working for
hours can be given as:
Step-by-step explanation:
Given:
Water tank initially contained = 24 gallons of water
The pump to fill the tank was switched to fill it.
From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.
By 1:00 PM the tank contained 120 gallons of water.
To write an equation which will tell the amount of water that the tank contains after the pump was working for
hours
Solution:
Initially, gallons of water in tank = 24
From 10:00 AM to 10:30 AM the tank had 40 gallons of water.
Thus, in half an hour the pump filled = = 16 gallons
Using unitary method:
If in of an hour water filled = 16 gallons
So, in 1 hour the water filled will be = = 32 gallons
In 3 hours the water filled will be = = 96 gallons
Thus, by 1:00 PM the water in the tank will be = = 120 gallons
This confirms the data given for 1:00 PM.
This shows that the rate at which the pump fills the tank is 32 gallons of water per hour.
The equation to represent the amount of water that the tank contains after the pump was working for
hours can be given as:
To find the slope from an equation, solve the equation for y.
The equation will have the form y = mx + b, called the slope-intercept form.
Then m = slope.
Let's solve your equation for y.
Subtract 2x from both sides.
Divide both sides by 7.
Now compare the equation above to y = mx + b.
m is the number that multiplies x, and it is the slope.
The equation will have the form y = mx + b, called the slope-intercept form.
Then m = slope.
Let's solve your equation for y.
Subtract 2x from both sides.
Divide both sides by 7.
Now compare the equation above to y = mx + b.
m is the number that multiplies x, and it is the slope.