Answer: $2,393.42
Step-by-step explanation:
I suppose that the salary is yearly.
So in one year, 365 days, the net pay would be $62,400.
Now, "by-weekly" refers to two weeks or 14 days.
If she gets paid $62,400 in 365 days.
Then in 14 she gets paid.
N = (14/365)*$62,400 = $2,393.42
<u><em>Answer:</em></u>
{x | x = 0.5 or x = 4.5}
<u><em>Explanation:</em></u>
<u>Before we begin, remember that:</u>
The modulus gives the positive value of what's inside it.
<u>This means that:</u>
|a| = |-a| = a
<u>Now, for the given, we have:</u>
|2x-5| = 4
<u>From the above rule, we can deduce that:</u>
<u>either:</u>
2x - 5 = 4
2x = 4 + 5 = 9
x = 4.5 ............> first solution
<u>Or:</u>
2x - 5 = -4
2x = 5-4 = 1
x = 0.5 ..........> second solution
<u>Now, we check:</u>
<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified
<u>at x = 0.5</u>: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified
Hope this helps :)
Answer:
3.75+6=9.75
Step-by-step explanation:
Answer:
The probability that a high school member selected at random is on the swim team is 
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: High school student.
Event B: Is on the swin team.
Probability of selecting a high school student:
Of the 1500 students, 200 are on high school. So

Probability of selecting a high school student who swims:
Of the 1500 students, 45 are high school students who swim. So

What is the probability that a high school member selected at random is on the swim team?

The probability that a high school member selected at random is on the swim team is 
Step-by-step explanation:
Let
x
be the kg of coffee of brand A in the mix and
y
be the kg of coffee of brand B in the mix.
The total kg must be
50
.
x
+
y
=
50
The cost per kg of the mix must br
$
7.20
. For this, the total cost of the mix will be
6
x
+
8
y
, so the total cost per kg of the mix will be
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by
6
to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need
30
kg of brand B in our mix. This means that
50
−
30
=
20
kg will be of brand A.