in the number line, the end points are DG, and the point in between is O
DG = 88
DO = 5x + 12
OG = 2x
Set the equation. The two parts (DO & OG) are equal to the whole (DG)
2x + 5x + 12 = 88
Simplify. Combine like terms
(2x + 5x) + 12 = 88
7x + 12 = 88
Isolate the x. Remember to do the opposite of PEMDAS. Subtract 12 from both sides
7x + 12 (-12) = 88 (-12)
7x = 76
Isolate the x. Divide 7 from both sides:
7x/7 = 76/7
x = 76/7
----------------------------------------------------------------------------------------------------------------------------
Find DO. Plug in "76/7" for x:
DO = 5x + 12
DO = 5(76/7) + 12
Simplify. Remember to follow PEMDAS. Multiply 76 with 5
DO = 380/7 + 12
Next, divide 380 with 7
DO = 54.29 (rounded)
Finally, add
DO = 54.29 + 12
DO = 66.29
66.29 is your answer
hope this helps
Answer:
Total cost= $86.25
Step-by-step explanation:
Giving the following information:
Discount= 10%
Nill= $82.5
Tip= 15%
<u>First, we need to calculate the discounted price:</u>
Discount price= 82.5 / 1.1= $75
<u>Now, the tip:</u>
Tip= 75*0.15= $11.25
<u>Finally, the total cost:</u>
Total cost= 75 + 11.25
Total cost= $86.25
Answer:
Step-by-step explanation:
3x - 6y = 24
Divide both sides by 6:
(3/6)x - (6/6)y = 24/6
Simplify:
(1/2)x - y = 4
Move y to the right side, 4 to the left side, and change sign of y and 4:
(1/2)x - 4 = y
Rearrange both sides:
y= (1/2)x - 4
Hope this helps!
:)
Answer:
By definition of congruence
Step-by-step explanation:
Triangle ABC is congruent to triangle DBE
Aidan has put 21 hours of work. To simplify it, Harry worked 7 hours and Aidan worked 7 x 3 times which equates to 21 hours.
