Let x be the unknown number of years.
Let C be Chris' age and J be Jenny's age.
Then J+x = 2(C+x)-7
... describes this situation.
4+x = 2(2+x) - 7
4+x = 4 + 2x - 7
x = 2x -7 becomes 7=x
In 7 years, Jenny will be 7 years younger than twice Chris' age.
Check: Is this true? 4+7 = 2(2+7)-7
11 = 18-7, or 11=11 TRUE
1. 5x - 7 = 48
5x = 48 + 7 = 55
x = 55/5 = 11
2. 7n - 2 = 54
7n = 54 + 2 = 56
n = 56 / 7 = 8
3. -4y + 7 = -21
-4y = -21 - 7 = -28
y = -28 / -4 = 7
4. x/2 + 5 = 12
x/2 = 12 - 5 = 7
x = 7 * 2 = 14
5. x/3 - 7 = 13
x/3 = 13 + 7 = 20
x = 20 * 3 = 60
6. -7 - 2 = 33 <- did you type this wrong?
-7x - 2 = 33
-7x = 33 + 2
-7x = 35
x = 5
7. -3x - 8 = -41
-3x = -41 + 8 = -33
x = -33 / -3 = 11
8. 3n - 7 = 35
3n = 35 + 7 = 42
n = 42 / 3 = 14
9. 7y + 9 = -47
7y = -47 - 9 = -56
y = -56 / 7 = -8
10. -8x + 4 = 68
-8x = 68 - 4 = 64
x = 64 / -8 = -8
11. 4n - 7 = -43
4n = -43 + 7 = -36
n = -36 / 4 = -9
12. 5x - 7 = 108
5x = 108 + 7 = 115
x = 115 / 5 = 23
13. 8 - 5w = -37
-5w = -37 - 8 = -45
w = -45 / -5 = 9
14. 42 = 18 + 4n
4n = 42 - 18 = 24
n = 24 / 4 = 6
15. 70 - 6x = 40
-6x = 40 - 70 = -30
x = -30 / -6 = 5
Answer:
3.875
Step-by-step explanation:
Answer:
97,99,101,103
Step-by-step explanation:
Let x = first odd integer
x+2 = 2nd odd integer
x+4 = 3rd odd integer
x+6 = 4th odd integer
Sum of 4 odd integers is 400
x+ (x+2) + (x+4)+(x+6) = 400
Combine like terms
4x +12 = 400
Subtract 12 from each side
4x+12-12 = 400-12
4x = 388
Divide by 4 on each side
4x/4 = 388/4
x=97
The first integer is 97
The 2nd is 97+2 =99
The third ix 97+4 = 101
The 4th is 97+6 = 103
Answer:
(x +8)² +(y +6)² = 100
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r can be written:
(x -h)² +(y -k)² = r²
For your given values of h=-8, k=-6, r=10, the equation is ...
(x +8)² +(y +6)² = 100
