3p + 2n = 8.25 ....multiply by 2
2p + 3n = 8 .........multiply by -3
-------------------
6p + 4n = 16.5 (result of multiplying by 2)
-6p - 9n = - 24 (result of multiplying by -3)
-------------------add
-5n = - 7.5
n = -7.5 / -5
n = 1.50 .............notebooks cost 1.50 each
2p + 3n = 8
2p + 3(1.50) = 8
2p + 4.50 = 8
2p = 8 - 4.50
2p = 3.50
p = 3.50/2
p = 1.75......pens cost 1.75 each
so 2 pens and 2 notebooks cost : 2(1.75) + 2(1.50) = $ 6.50 <==
. . (x + 1) . . . . . . (x² + 5x + 4)
---------------- ÷ -------------------- =
(x² + x − 6) . . . . . (x − 2)
. . (x + 1) . . . . . . . (x + 4)(x + 1)
------------------- ÷ -------------------- =
(x + 3) (x − 2) . . . . . (x − 2)
. . (x + 1) . . . . . . . . . (x − 2)
------------------- * -------------------- =
(x + 3) (x − 2) . . . (x + 4)(x + 1)
. . 1 . . . . . . 1
--------- * ---------- =
(x + 3) . (x + 4)
. . . . . 1
------------------- =
(x + 3) (x + 4)
. . . . 1
-----------------
x² + 7x + 12
A square has 4 sides each of X miles. Its diagonal is X times Square Root of 2.
If the diagonal is 8 miles then 8 = xSqrt(2)
x = 8/Sqrt(2)
Rationalize the Denominator, i.e. multiply by Sqrt(2)/Sqrt(2)
X = 8Sqrt(2)/2
X = 4Sqrt(2)
Answer:
C
Step-by-step explanation:
Answer:
12, 17
Step-by-step explanation:
Two sides must add up to a greater sum than that of the remaining side