Answer: $44.18
Step-by-step explanation: $24.99 + $19.99 = $44.18
She bought 15 packages. You divide 86 by 6, but there is a remainder. pay no attention to it though, just add 1 to the answer.
Basically, you're looking for a matrix
such that
i.e. a matrix
whose nullspace with basis vector
.
By the rank-nullity theorem, the rank of
and the dimension of its nullspace must add up to the number of columns, so
One easy choice for a row would be
, since
Now you only need to find another combination such that the second row of
is independent of the first. An easy choice for this is to let the first element be 0, and the next be 1. Then the last element must be
, as
So,
is one possible solution.
Answer:
Height of toy model liberty statue = 3 feet (Approx.)
Step-by-step explanation:
Given:
Height of real liberty statue = 152 feet
Scale factor = 2:101
Find:
Height of toy model liberty statue
Computation:
Scale factor = 2:101
1 feet toy model = 101 / 2 = 50.5 feet
Height of toy model liberty statue = Height of real liberty statue / Scale factor
Height of toy model liberty statue = 152 / 50.5
Height of toy model liberty statue = 3 feet (Approx.)
First, we get all our facts.
The garden is 5/8 of an acre.
1/4 of the garden is flowers.
3/4 of the garden is vegetables.
Now, we need to make an equivalent fraction of the acre that is divisible by four. In doing so, we can split it up for the flowers and vegetables. To do this, we need to find a number that is divisible by both the numerator (5) and 4, as that's how the flowers and vegetables are split up. Both go into 20, so we'll make our equivalent fraction 20/32 (5x4=20, 8x4=32)
After that, we divide the 20/32 into the two portions; 1/4 and 3/4.
1/4 of 20 is 5, so 1/4 of 20/32 is 5/32
3/4 of 20 is 15, so 3/4 of 20/32 is 15/32
And now we have the answers.
5/32 of an acre is planted with flowers.
15/32 of an acre is planted with vegetables.
