Answer:
t^2 - 11t + 14
Step-by-step explanation:
Begin by grouping like terms in 9t^2+14-17t+6t-8t^2.
First we have 9t^2 - 8t^2, or 1t^2.
Next, we have -17t + 6t, or -11t.
Last, we have the constant term 14.
The expression in simplified form is t^2 - 11t + 14.
The inequality begins with the flat fee of $25. We then add the $13 per day for insurance as 13<em>d</em>, where <em>d</em> is the number of days. This gives us the expression
25 + 13<em>d</em>. Since he only has $121, we must use less than or equal to for our inequality; he can't spend any more than $121, but he can spend any number below it up to that number. This gives us
25 + 13<em>d</em> ≤ 121<em />
Ok this is not as hard as it seems
(4.5 feet)^2 times the number of students (13)
20.25 x 13
263.25 is the correct answer
I hope it helps :<
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
<span>6.1875 inches would be 9 / 16 ths of 11 inches
</span>
