Answer:
9 inches by 12 inches
Step-by-step explanation:
So let's say <em>L</em>=length and <em>W</em>=width.
Since the problem states that the length should be 3 inches longer than the width, <em>L</em><em>=</em><em> </em>W+3
And the formula to find the perimeter of a rectangle is 2L+2W
so plug in W+3 for L and you get 2(W+3)+2W
Then distribute
2W+6+2W
Combine like-terms
4W+6
And the problem states the perimeter is 42 inches so,
4W+6=42
Subtract 6 to both sides
4W=36
Divide by 4 to both sides
W=9
So the width is 9
And to get the length, plug in 9 for W in L=W+3
L=9+3
L=12
So the length is 12
Answer:
6
Step-by-step explanation:
each tomato=4
7-4=3 so each avocado is 3
5-3=2 so each lime is two
so 4+2=6
The sequence is an arithmetic sequence with
a₁ = -4
d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3
an = x
Sn = 437
General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)
We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7
Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x - 4) = 874
xn - 4n = 874
Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.
Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50
The solution is 50
Answer:7 to 9? Years
Step-by-step explanation: I’m not sure but if you got a couple trys try to do it.
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