1 notebook costs $3.45
let's turn this into 2 equations, n being notebook price, and b being binder price ->
mandy -> 3n + b = 5.85
jordan -> 2n + b = 4.65
we need to take one equation, simplify for b, and plug it into the other equation, let's take jordan's equation for this ->
b = 4.65 - 2n
plug it into mandy's equation
3n + (4.65 - 2n) = 5.85
simpify until you get n = 1.20
take this and plug it back into jordan's equation ->
2(1.20) + b = 4.65
simplify until you get b = 2.25
plus this value into mnady's equation ->
3n + (2.25) = 5.85
simplify until you get that n = 2.25
Answer:
y=25x+19
Step-by-step explanation:
you take the number of cases and add 19 to it then you have your y-intercept making your answer y=25x+19
Answer:
The area for the selected triangle is 96 units²
Step-by-step explanation:
We are able to answer this using the area of triangle formula
B x H = A
16 x 12 = 96
Answer:6
Step-by-step explanation:
Let
be an integer. Suppose there is a triangle with legs of length 16 and
. Then by the Pythagorean theorem, the length of the hypotenuse should be
The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if
and
are integers, then so are
,
, and
.
However,
is not a perfect square trinomial, which means for any integer
, the length of the hypotenuse is not an integer, so such a triangle doesn't exist.