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noname [10]
4 years ago
5

The constant of proportionality is

Mathematics
1 answer:
ladessa [460]4 years ago
5 0
The constant of proportionality is the continuous ratio betwwen two variables.
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oscar bought some markers notebooks and packs of sticky notes for his office he bought the same number of markers as notebooks h
s2008m [1.1K]

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

Learn more about addition here:

brainly.com/question/4721701

#SPJ1

4 0
2 years ago
Calculate the length of the hypotenuse
alexira [117]

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...

8 0
4 years ago
Compare the decimals 0.29__0.3
Nostrana [21]
<
>
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Are the answers the first line is for the first question same for the second and 3rd
7 0
4 years ago
Simplify: 3x + 4y + 7x - 2y
tresset_1 [31]

Answer:

10x+2y

Step-by-step explanation:

combine like terms

8 0
3 years ago
Read 2 more answers
Please answer now I’m giving out 100 points
N76 [4]

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

2:8::4:x

Product of mean = Product of extreme

8*4=2*x\\32=2x\\2x=32

Dividing both sides by 2

\frac{2x}{2}=\frac{32}{2}\\x=16

4 liters of punch can serve 16.

Let,

y be the liters of punch for 20 servings.

New ratio = y:20

Using proportion;

2:8::y:20

Product of mean = Product of extreme

8*y=20*2\\8y=40\\

Dividing both sides by 8

\frac{8y}{8}=\frac{40}{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

2:8::7:z\\

Product of mean = Product of extreme

8*7=2*z\\56=2z\\2z=56

Dividing both sides by 2

\frac{2z}{2}=\frac{56}{2}\\z=28

7 liters of punch will serve 28.

Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

4 0
3 years ago
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