If she needs to keep $500 in her account and she just wrote a check for $65.99 she needs to deposit $41.24 to be at $500 when the $65.99 is withdrawn.
Answer:
64.5°
Step-by-step explanation:
angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.
tan theta = opposite/adjacent
angle = tan^-1(42/20)
angle = 64.5°
Use 2 points on the line to find the slope.
Slope = change in y / change in x
The two points used: (-2,5) and ( 1,-10)
slope = (-10 -5) /(1- -2) = -15/3 = -5
the y intercept is where the line is at in the y direction when it crosses the x axis at 0.
the y intercept is -5
The equation is y = -5x -5
Answer:
The answer is 35.
Step-by-step explanation:
1 and 1/4 hours total. 2/3 was performed before lunch. You need to find how long he practiced after lunch. So first you need to find a common denominator (CD) because the denominators aren't the same. When you find the CD for 1 and 1/4 you need to make it an improper fraction (IF) because it's a mixed number. When you do that you get 5 multiplied by 3 and then 4 multiplied by 3 doing this is helping you find the CD of 5/4 which happens to equal 15/12. Next you do the same for 2/3 but this time you multiply 2 by 4 and then 3 by 4 and in this case 2/3 now equals 8/12. Now you can work with finding how much Allen performed after lunch. To find this you need to subtract 15/12-8/12 to find how long he performed after lunch when you do that you get 7/12 hours which is equal to 35 minutes.
Answer: x = 11 + y
Step-by-step explanation: Simplifying
4x + -4y = 44
Solving
4x + -4y = 44
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4y' to each side of the equation.
4x + -4y + 4y = 44 + 4y
Combine like terms: -4y + 4y = 0
4x + 0 = 44 + 4y
4x = 44 + 4y
Divide each side by '4'.
x = 11 + y
Simplifying
x = 11 + y
