34 = 28 - 2/5X
Move +28 to the other side. Sign changes from +28 to -28
34-28=28-28-2/5x
34-28=-2/5x
6=-2/5x
Multiply both sides by -5/2
6(-5/2)=-2/5(-5/2)x
Cross out 6 and 2, divide by 2 and becomes :
3*-5=-15=X
Answer: X=-15
First you start by drawing a right triangle. the longest side is the length of the ladder (40ft) and will be represented by variable c. Label the vertical side as a and the horizontal side as b(24 ft).
we will use a^2 +b^2 =c^2 to find it. plug in the variables and it will be a^2 + 24^2 = 40^2 which simplifies to a^2 + 576 = 1600. you then isolate the variable by subtracting 576 from 1600. our new equation is a^2 = 1024. we take the sqrt of a^2 and 1024 so our final equation is a=32 ft. the answer is 32 feet.
Answer:
A — conclusion: the lines are perpendicular and meet at a 90 angle
Answer:
9 hours
Step-by-step explanation:
Set up the equations: x is the amount of hours Amber worked and y is the hours Jake worked
8x + 8y = 120
y = 3 + x
Substitute the second equation into the first
8x + 8(3+x) = 120
Distribute
8x + 24 + 8x = 120
Combine like-terms
16x + 24 = 120
Subtract 24 on both sides
16x = 96
Divide 16 on both sides
x = 6 (hours Amber worked)
Plug in this x-value into on of the two equations. I will use the second
y = 3 + 6
y = 9
Answer:
1.40 litres; order of operations
Step-by-step explanation:
Part A:
First, write it out in the full form.
#1 (.75 litres of blackberry juice + .60 litres of blueberry juice + .25 litres of guava juice) - .20 litres drank = 1.4 litres of juice remaining in the jar
Part B:
Removing the wordy descriptions from the expression, we get the following:
#2 (.75 + .60 +.25) - .20
or, by adding the numbers in the parentheses first:
#3 (1.60) - .20 = 1.40
#4 1.40 litres of juice left in the jar
The order of operations was used in moving from step #2 to step #3, as operations within the parentheses were conducted before subtracting the .20 litres of juice which were drank.
