Answer: All the time.
Step-by-step explanation:
Here,
x= elapsed time
y = number of gallons of water in tank.
For tank A,
3y=750x+300
Divide both sides by 3, we get
y= 250x+100 ...(i)
For tank B,
4y=1000x+400
Divide both sides by 4, we get
y=250+100 ...(ii)
From (i) and (ii) it can be seen that both the function are same.
That means the amount of watre will be same for every value of x, where x ≥0
Answer:
Danielle earns more in 1 hours and $0.80 more than MacKenzie
Step-by-step explanation:
Given : Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.
To find : Who earns more money per hour? How much more
Solution : We have given
Danielle earns in 4 hours = $36.80 .
Danielle earns in 1 hours = .
Danielle earns in 1 hours = $9.20 .
MacKenzie earns in 6 hours = $50.40
MacKenzie earns in 1 hours = .
MacKenzie earns in 1 hours = $8.40.
We can see Danielle earns more in 1 hours .
How much = $9.20 - $8.40.
= $0.80.
Therefore, Danielle earns more in 1 hours and $0.80 more than MacKenzie
Step-by-step explanation:
Answer:
4. x = 16.8
5. x = 35.98
Step-by-step explanation:
For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.
For number 4, the equation you are setting up is tan 35 = x/24. Multiply 24 on both sides to get the answer which is 16.8 for the x side.
For number 5, the equation you are setting up is tan 17 = 11/x. As a result on your calculator, you should get 35.98 for the x side.
Answer:
a) F
b) B, E, D
Step-by-step explanation:
a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values
From the given option, the rate of change of the <em>y </em>to the<em> </em>x-values of B = the gradient = (4 units)/(2 units) = 2
The gradient of F = (-3units)/(1 unit) = -3
The gradient of A = 4/4 = 1
The gradient of C = -2/5
The gradient of D = 2/6 = 1/3
The gradient of E = 3/4
The segment with the greatest gradient is F
b) The steepest segment has the higher gradient
From their calculated we have;
The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3
Therefore, we have;
B, E, D.