-1 = z/3 - 7
Emily's Work:
-1 = z/3 - 7
-1(3)=z/3(3)-7
-3 = z - 7
-3 -7 = z - 7
z = -10
Right away without having to start at the beginning, I see that she has made a mistake at the 4th-5th line of work.
Instead of adding 7 to both sides, she subtracts it and still leaves it in and doesn't fully finish the equation, as it would really be z-7 = -10
In order to solve it, follow these steps:
Rewrite the initial equation as follows:
x/3 - 7 = -1
Multiply both sides by 3
x/3(3)-7(3)=-1(3)
x - 21 = -3
Add 21 to both sides
x = 18
A moving sidewalk at an airport moves at a rate of 1.7 ft/sec. Walking on the moving sidewalk, a person travels 104 ft forward in the time it takes to travel 52 ft in the opposite direction.
Answer:
B. 10.9
Step-by-step explanation:
Area of triangle= 1/2*24*h
∠N=90° ⇒ Area of triangle= 1/2*MN*ON
MN²= h²+(24-7)²
ON²= h²+7²
- 24h=MN*ON
- 24h= √h²+(24-7)²*√h²+7²
- (24h)²=(h²+17²)(h²+7²)
- 576k=k²+289k+49k+289*49
- k²-238k+14161=0
2. 2 2/5
3. 2 1/2
4. 1/2
5. 4 3/5
6. 3 1/3
7. 2 4/5
8. 2
9. 4 1/3
10. 4 2/3
11. 2/5
12. 8 2/3
13. 1 1/2
14. 2 3/4
15. 1 5/12
16. 5 2/5
Answer: 8
Step-by-step explanation:
Given: Pedro cut a sheet of poster board into 10 equal parts.
let x be the total sheet.
then, one part of sheet=
of the sheet
Now, His brother used some of the poster board and now 8/10 is left.
Therefore, if Pedro wants to make a sign from each remaining part of the poster board.
then, The number of signs he can make= 
Hence, Pedro can make 8 signs.