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timama [110]
3 years ago
5

the ratio of coins to notes in a bag is 3 to 8. if there are a total 22 items,then how many notes arr there?​

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

The number of coins in the bag  =  6

The number of notes in the bag  =   16

Step-by-step explanation:

The ratio of coins to the notes  = 3: 8

Now, let us assume in the given ratio, the COMMON FACTOR  = m

So, the number of coins in the bag = 3 times (m)  = 3 m

And, , the number of notes in the bag = 8 times (m)  = 8 m

Also, total items in the bag = 22

⇒  Number of (Notes + Coins)  = 22

⇒    3 m  +  8 m = 22

or, 11  m = 22

or, m =  22/ 11  = 2

⇒   m = 2

So, the common factor in the given ratio = 2

So, the number of coins in the bag = 3 m = 3 x  2 = 6

And the number of notes in the bag  =8 x m =  8 x 2  =   16

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The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30      Eqn 1

x+6y=11.25      Eqn 2

Multplying Eqn 2 by 2

2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 1

(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50

Dividing both sides by 2

\frac{2x}{2}=\frac{7.50}{2}\\x=3.75

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

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3 0
3 years ago
-0.5x=3.6<br><br> F. -72<br> G. -7.2<br> H. 7.2<br> I. 72
masya89 [10]

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

8 0
2 years ago
No links or wrong answers please!! 55 points
juin [17]

The areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)

<h3>How to determine the total areas?</h3>

<u>The figure 1</u>

In this figure, we have

Length = x + 1

Width = 4

The area is calculated as:

Area = Length * Width

So, we have

Area = 4(x + 1)

<u>The figure 2</u>

In this figure, we have

Length = d + 4

Width = 7

The area is calculated as:

Area = Length * Width

So, we have

Area = 7(d + 4)

<u>The figure 3</u>

In this figure, we have

Length = y + 3

Width = y

The area is calculated as:

Area = Length * Width

So, we have

Area = y(y + 3)

Hence, the areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)

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4 0
1 year ago
(This question is related to the picture question)
UNO [17]

Answer:

5. f(x) = 10,000 (1.5)^x

Step-by-step explanation:

==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

  • Let's test it

Initial: 10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

--

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

--

Let's try our equation.

f(x) = 10,000 (1.5)^x

x=2

10,000(1.5)^2

10,000(2.25) = 22,500

*Edit: I just seen that the question is related to the picture question

6 0
2 years ago
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Yuki888 [10]
Its about 7% percent tax. hope i helped
8 0
3 years ago
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