(3x+4)^3=2197 solve this equation
Answers
Taking the cube root in this case is easier, although we can do it the extended way which is complicated.
3x + 4 = 13
Now solve normally.
subtract 4
3x + 4 = 13
-4 -4
3x = 9
Divide by 3 to isolate 3
3 and 3 cancels out
x = 3
3x+4=z
z³=2197
z=∛2197
z=13
Then:
3x+4=13
3x=13-4
3x=9
x=9/3
x=3
answer: x=3
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Answers
12x + 2.5 = 40x - 30
12x - 12x +2.5 = 40x - 12x - 30
2.5 = 28x - 30
2.5 + 30 = 28x - 30 + 30
32.5 = 28x
32.5/28 = 28x/28
x=9/56
Enter your answer in the box.
Answers
7x + 17 = 3x + 21
Answers
Answer:
x equals 1
combine the terms
Answers
The first term of the sequence is represented by n = 1. Plug this into the equation:
The only answer choice that has this result for their first term is -2; -16; -256.
5n-9=4n+2
5m-9=4m+2
-2x+3=-3x-1
7n+8=6n+4
m+3=-m-1
12m-5=11m-5
-3x+1=5x-7
5x-3=x-12
(I've been having trouble with these)
Answers
M + 4 = -M + 10
First reorganize the terms on the left side
M + 4 = 10 - M
Take away 4 from both sides
M + 4 - 4 = 10 - M - 4
M = 10 - M - 4
Combine positive 10 and negative 4
M = 6 - M
Add M to both of the sides
M + M = 6 - M + M
M + M = 6
2M = 6
Divide both sides by 2
2M/2 = 6/2
M = 3
Question 2
2x - 2 = x - 4
Take away 1x from both sides of the equation
2x - 2 = x - 4
2x - 1x - 2 = x - 1x - 4
1x - 2 = -4
x - 2 = -4
Add 2 to both of the sides of the equation
x - 2 + 2 = -4 + 2
x = -2
Question 3
5n - 9 = 4n + 2
Add 9 to both sides of the equation
5n - 9 + 9 = 4n + 2 + 9
5n = 4n + 11
take away 4n from from both sides of the equation
5n - 4n = 4n - 4n + 11
5n - 4n = 11
1n = 11
n = 11
Question 4 has the same values for question 3, they just changed n to a m
5m - 9 = 4m + 2
m = 11
Question 5
-2x + 3 = -3x - 1
Add 3x to both sides of the equation
-2x + 3x + 3 = -3x + 3x - 1
1x + 3 = -1
x + 3 = -1
Take away 3 from both sides of the equation
x + 3 - 3 = -1 - 3
x = -4
Question 6
7n + 8 = 6n + 4
Take away 6n from both sides of the equation
7n - 6n + 8 = 6n - 6n + 4
1n + 8 = 4
n + 8 = 4
Take away 8 from both sides of the equation
n + 8 - 8 = 4 - 8
n = -4
Question 7
m + 3 = -m - 1
Add 1m to both sides of the equation
m + 1m + 3 = -m + 1m - 1
2m + 3 = -1
Take away 3 from both sides of the equation
2m + 3 - 3 = -1 - 3
2m = -4
Answers
67 miles = 117,920 yards
that's > 116,920 yards
1 yard=3 feet
250 yards = 750 feet
that's < 800 feet
1 yard = 3 feet
14 yards = 42 feet
plus another 2 feet = 44 feet
that's much > 16 feet
1 foot = 12 inches
34 feet = 408 inches
plus another 10 inches = 418 inches
that's < 518 inches
1 mile = 1,760 yards
5 miles = 8,800 yards
that's already = to 8,800 yards, and we haven't even stuck the extra 8 feet on yet
when we do that, it'll be > 8,800 yards by exactly 8 feet (2 and 2/3 yards)