Answer:
J+2J=12 so 3J=12 so J=4
Step-by-step explanation:
Use J to represent Jake's miles.
We know that Gloria's miles (G) is twice J, so G=2J
We also know that Jake and Gloria together ran 12 miles.
So we know, J+2J=12 or 3J=12 meaning J=4
So Jake runs 4 miles, and since Gloria is two times that she ran 8 miles.
um 600?? I'm sorry if that's wrong
Answer:
67%
Step-by-step explanation:
Cost plus markup = selling price.
Here, the cost was $30 and the selling price was $50. Subtracting $30 from $50, we get $20, which was the dollar amount of the markup.
We now compare this $20 to the original cost ($30):
$20
------- * 100^ = 67%
$30
The markup, as a percentage, was 67%.
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π → C = π - (A + B)
→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))
→ sin C = sin (A + B) cos C = - cos(A + B)
Use the following Sum to Product Identity:
sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]
cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]
Use the following Double Angle Identity:
sin 2A = 2 sin A · cos A
<u>Proof LHS → RHS</u>
LHS: (sin 2A + sin 2B) + sin 2C
![\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]](https://tex.z-dn.net/?f=%5Ctext%7BFactor%3A%7D%5Cqquad%20%5Cqquad%20%5Cqquad%202%5Csin%20C%5Ccdot%20%5B%5Ccos%20%28A-B%29%2B%5Ccos%20%28A%2BB%29%5D)
LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C 
Answer:
See below
Step-by-step explanation:
From the table we see there is a relation between x and y values
Every step change of x = 0.5, every step change of y = 2
<u>This relation is linear. The formula for linear function is:</u>
<u>Using to pairs of points to get the slope and y-intercept</u>
<u>Calculating the slope:</u>
- m = (64 - 60)/(1 - 0) = 4/1 = 4
- y - intercept is 60 as per point (0, 60)
<u>So the function is</u>
<h3>Part A</h3>
<h3>Part B</h3>
<h3>Part C</h3>
- Slope is the steepness of the line.
- y -intercept is the lowest score with no time spent studying
