Let's first say that L=W+44
and then remember that perimeter is P=2L+2W
replace the L with W+44
we then get P=2(W+44)+2W, now I'll solve it
P=2W+88+2W
P=4W+88
substitute 288 for P
288=4W+88
200=4W
50=W
so now we now how wide the court is. add 44 to find the length which gives you L=94
as always plug the numbers back into your perimeter equation to ensure L and W are correct
12,176/24 = 1522/3 or 507 1/3
Question:
What is 3(x + 2) - 2(x + 1)?
Steps:
When you solve this type of equation always use the distributive property formula to solve this equation!
Formula: a(b + c) = ab + ac
So, what is 3(x + 2) ?
Also, what is -2(x + 1)?
Then, put it back into the equation for you to solve this problem.
So, this would be the new equation:
3x + 6 - 2x - 2
Then, what you want to do is put variables next to each other and the numbers next to each other so it will be easier to simplify:
3x - 2x + 6 - 2
Then, simplify:
x + 4 is the answer!
Since 3x - 2x = x and 6 - 2 = 4
Hope that helped!!
~Serina
To solve problem 19, we must remember the order of operations. PEMDAS tells us that we should simplify numbers in parentheses first, exponents next, multiplication and division after that, and finally addition and subtraction. Using this knowledge, we can begin to simplify the problem by working out the innermost set of parentheses:
36 / [10 - (3-1)²]
36 / [10 - (2)²]
Next, we should still simplify what is inside the parentheses but continue to solve the exponents (the next letter in PEMDAS).
36/ (10-4)
After that, we should compute the subtraction that is inside the parentheses.
36/6
Finally, we can solve using division.
6
Now, we can move onto problem 20:
1/4(16d - 24)
To solve this problem, we need to use the distributive property, which allows us to distribute the coefficient of 1/4 through the parentheses by multiplying each term by 1/4.
1/4 (16d-24)
1/4(16d) - 1/4(24)
Next, we can simplify further by using multiplication.
4d - 6
Therefore, your answer to problem 19 is 6 and the answer to problem 20 is 4d -6.
Hope this helps!
area of a triangle = 1/2 base x height
56.4 = 1/2 x 12 x height
56.4 = 6 x height
height = 56.4 /6 = 9.4cm
