⓵ Write down both equations :
X ÷ 3 = 700
X ÷ 7 = 300
⓶ Solve both of these equations :
X ÷ 3 = 700
× 3 × 3
↓
X = 2100
X ÷ 7 = 300
× 7 × 7
↓
X = 2100
Now that you’ve solved each equation and that “X” is worth the same thing in both, you know that you calculated everything correctly!
If you really want to triple check your answers, you could test that number to see if it works :
2100 ÷ 3 = 700? → YES
2100 ÷ 7 = 300? → YES
↠ So the answer to your question is : The number is 2100.
I really hope this helped, if there’s anything just let me know! ☻
Answer:
(x -11) * t + 1067
Step-by-step explanation:
We know that in her tutoring job she earns x amount of money and how waitress earns $ 11 / hour.
They give us the combined number of hours that he works with all the jobs, which is 97, but from here we can say that in the time that he does NOT work as a tutor it is actually 97 - t.
Total earned this month = x * t + 11 * (97 -t)
Total earned this month = x * t + 1067 - 11 * t = (x -11) * t + 1067
Answer:
5/6 - 10/12, 15/18, 20/24
3/8 - 6/16, 9/24, 12/32
Step-by-step explanation:
Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78