Answer:
x=
103
/15
y + −28
/15
Step-by-step explanation:
Oops i accidentally deleted it, but the angle would be 39 degrees :)
1. We assume, that the number 9.375 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 9.375 is 100%, so we can write it down as 9.375=100%.
4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.
5. Now we have two simple equations:
1) 9.375=100%
2) x=7.25%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
9.375/x=100%/7.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 7.25% of 9.375
9.375/x=100/7.25
(9.375/x)*x=(100/7.25)*x - we multiply both sides of the equation by x
9.375=13.793103448276*x - we divide both sides of the equation by (13.793103448276) to get x
9.375/13.793103448276=x
0.6796875=x
x=0.6796875
now we have:
7.25% of 9.375=0.6796875
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.
The problem presents 2 variables and 2 conditions to follow to determine the approach in solving the problem. The variables are 52 cards, and 9 cards. The 2 conditions presented would be the teacher giving out one card to each student at a time to each student until all of them are gone. The second variable is more likely made as a clue and the important variable that gives away the approach to be used. The approach to be used is division. This is to ensure that there will be students receiving the 9 cards. Thus, we do it as this: 52 / 9 = ?
The answer would be 5.77778 (wherein 7 after the decimal point is infinite and 8 would just be the rounded of number). This would ensure us that there will be 5 students that can receive 9 cards but there will be 7 cards remaining which goes to the last student, which is supposed to be 8 since she gives one card to each student at a time to each student. So the correct answer would be just 4 students. The fifth student will only receive 8 cards and the last student would have 8, too.
