Google on the word SCALAR. that's the word your looking for
Answer:
60% of the students wanted hamburgers
Step-by-step explanation:
just multiply
Answer:
White roses - 7
Red roses - 17
Step-by-step explanation:
Set up proportional equations
White roses = x
Red roses = 3x - 4
Set equal to 24
x + 3x - 4 = 24
4x - 4 = 24
4x = 28
x = 7
x is white roses, so there are 7
Plug x value into red rose equation
3(7)-4
21-4 = 17 red roses
Check
17+7 = 24
First notice that the triangle with sides
and the triangle with sides
are similar. This is true because the angle between sides
in the smaller triangle is clearly
, while the angle between sides
in the larger triangle is clearly
. So the triangles are similar with sides
corresponding to
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is
, then the length of the longer leg is
and the hypotenuse has length
.
Since
is the shortest leg in the larger triangle, it follows that
, so
Let n be the number of lbs of nuts.
Let r be the number of lbs of raisins.
9n + 3r = 60 * 5 = 300 .............(1)
n + r = 60
n = 60 - r ...............(2)
Plugging the expression for n in (2) into (1) we get:
9(60 - r) + 3r = 300
which expands to:
540 - 9r + 3r = 300 .............(3)
Simplifying and rearranging (3) we get:
-6r = -240
Therefore r, the weight of raisins = 40 lbs
and the weight of nuts is 60 - 40 = 20 lbs
