Answer:
26 candy bars and 12 sodas
Step-by-step explanation:
This problem can be solved by a simple system of equations
I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.
The fact that she bought 38 itens means the x + y = 38.
She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38
So we have to solve the following system:
1)x + y = 38
2)1.25x + 1.49y = 50.38
From 1), we have that x = 38 - y. I am going to replace it in 2)
1.25(38-y) + 1.49y = 50.38
-1.25y + 1.49y = 50.38 - 47.5
0.24y = 2.88
y = 12.
Sally bought 12 sodas.
In 1: x = 38-y = 38-12 = 26
Sally bourght 26 candy bars
So
lets say we have
a/b=2a/2b
we know that if we invert one and multiply it by the other (divide them), we get 1 because a/a=1 where a=a
so
2/3 and 4/6 are equivelent because if you divide them we get 12/12=1
2/3 and 8/12 are equivilent because if you divide them we get 24/24=1
and sinde 2/3=4/6 and 2/3=8/12, 2/3=4/6=8/12
they are equivlent
Answer:
-15.96
Step-by-step explanation:
A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)
Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."
Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."
Multiply the inner numbers ( the + 4i and the 1/5) to get + 60i. This is the "I."
Multiply the positive 4i and the negative 4i to get 16i squared
The positive 60i and the negative 60i cancel each other out.
The i squared changes into - 1. This makes the 16 negative.
Add 1/25 to - 16 to get - 15.96
Make a dot plot of the following set of numbers: 2, 1, 2, 0, 0 , 2, 1, 6, 1, 1, 0. Which number is the peak of the data set?
Phantasy [73]
A. 1
There are more 1’s than any other numbers.
He should take them out at 9:20.
Hope this helps!
