The number of each kind of office supply oscar bought is = markers= (43.2 - 4.2y)/3 notebooks = (43.2-3x)/4.2, sticky notes = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3.
<h3>Calculation of total office supply</h3>
The number of markers he bought = X
The number of notebooks he bought= y
The number of sticky notes he bought= z= 3 + X+y
The amount he paid for markers = $1.05*X
The amount he paid for notebooks = $2.25*y
The amount he paid for sticky notes= $1.95 (3 + X+y)
The total amount he paid is = $49.05
That is;
$49.05 = $1.05x + $2.25y + $1.95 (3 + X+y)
$49.05 = $1.05x + $2.25y + $5.85 + $1.95x + $1.95y
$49.05 - $5.85 = 3x + 4.2y
$43.2 = 3x + 4.2y
Make X the subject of formula,
3x = 43.2 - 4.2y
X = (43.2 - 4.2y)/3
y= (43.2-3x)/4.2
z = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3
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Answer:
8.60
Step-by-step explanation:
A^2+B^2=C^2
5*5=25 7*7=49 49+25= 74
√ 74= 8.602...
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Are the answers the first line is for the first question same for the second and 3rd
Answer:
10x+2y
Step-by-step explanation:
combine like terms
4 liters of punch can serve 16.
5 liters of punch will be needed for 20 servings.
7 liters of punch will serve 28.
Step-by-step explanation:
Given,
Ratios of liters of punch to servings = 2:8
Let,
x be the servings for 4 liters.
New ratio of liters of punch to servings = 4:x
Using proportion;
Ratio :: New ratio
Product of mean = Product of extreme
Dividing both sides by 2
4 liters of punch can serve 16.
Let,
y be the liters of punch for 20 servings.
New ratio = y:20
Using proportion;
Product of mean = Product of extreme
Dividing both sides by 8
y=5
5 liters of punch will be needed for 20 servings.
Let,
z be the number of servings for 7 liters of punch.
New ratio = 7:z
Using proportion
Product of mean = Product of extreme
Dividing both sides by 2
7 liters of punch will serve 28.
Keywords: ratio, proportion
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