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3 years ago

Christopher bought new drawing pencils. He paid $8.28 for 18 pencils. At this rate, how much would it cost for 12 pencils?

Mathematics

1 answer:

Dahasolnce [82]3 years ago

5 0

Answer:

$5.52

Step-by-step explanation:

The first step is finding the rate, which would be the cost per pencil. Per means for 1, so what you would do is divide $8.28 by 18.

You'll result in $0.46, or 46 cents, per pencil.

Now that you got the price per pencil, you want to multiply that by 12. This will give you the price for 12 pencils.

$0.46 x 12 = $5.52

Therefore, at this rate, it will cost $5.52 for 12 pencils.

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Answer:

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Step-by-step explanation:

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3 years ago

Select the three expressions that are equivalent to 4/9

Deffense [45]

Answer:

8/18 or 12/27 or 16/36

Step-by-step explanation:

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4 years ago

If 5y = 6x + 16 and 9x = 7y-20, what is the value of 3x - 2y?

Law Incorporation [45]

The value of 3x-2y is -4. From the equation 5y=6x=16 and 9x=7y-20 the values of (x,y) is (4,8).

Step-by-step explanation:

The given equations are,

5y=6x+16.......................(1)

9x=7y-20......................(2)

3x-2y...............................(3)

Step:1

Modify the equations (1) and (2) in (x+y=constant) format,

6x-5y=-16.....................(4)

9x-7y=-20....................(5)

Step:2

Equation (4) is multiplied by 7 ( ∵ 7×Eqn(4))

42x-35y=-112..............(6)

Step:3

Equation (5) is multiplied by 5 (∵ 5×Eqn(5))

45x-35y=-100.............(7)

Step:4

Subtracting Equation (6) and (7)

42x-35y=-112

45x-35y=-100

( - )

(42x-45x)+(35y-35y)=(100-112)

(-3x)+(0)=(-12)

x=4

Step:5

Substitute X value in Equation (1),

5y=6x+16...................(1)

where, x=4,

5y= (6×4)+16

5y=40

y= 8

Step: 6

Check for solution, substitute x and y values in equation (2).

9x=7y-20.......................(2)

(9×4)=(7×8)-20

36=36

Step:7

From given, 3x-2y

where, X=4 and y=8

3x-2y = (3×4)-(2×8)

= 12-16

3x-2y = -4

Result:

The value for 3x-2y is -4. The values of (x,y) are (4,8).

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3 years ago

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3 years ago

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Watch day about 75,000 people visit Paris, France. Use commutative property to write two equivalent expressions that could be us

Studentka2010 [4]

Answer:

$5\times 75,000$ and $75,000\times 5$

Step-by-step explanation:

We have been given that about 75,000 people visit Paris, France. We are asked to write two equivalent expressions that could be used to find the number of people that visits over a 5- day period .

To find the number of people over a 5-day period, we will multiply 75,000 people by 5 as:

$\text{Number of people that visits over a 5-day period}=75,000\times 5$

Commutative property of multiplication states that we can multiply numbers in any order.

Upon switching the order while multiplying, we will get:

$\text{Number of people that visits over a 5-day period}=5\times 75,000$

Therefore, our required equivalent expressions would be $5\times 75,000$ and $75,000\times 5$ .

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3 years ago