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ss7ja [257]
3 years ago
5

5 egg cartons hold 12 eggs each. Which equations represent the total number of eggs and how they are divided?

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

<u>12x = y (Equation to find the total number of eggs you have)</u>

<u>y/12 = x (Equation to find the total of egg cartons you have)</u>

Step-by-step explanation:

Let x to be the number of egg cartons you have

Let y to be the total number of eggs you have

Each egg carton has 12 eggs

Therefore,

<u>12x = y (Equation to find the total number of eggs you have)</u>

<u>y/12 = x (Equation to find the total of egg cartons you have)</u>

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Solve the following equations express your answers as order pair in format a,b 2x+7y=-1 and 4x-3y=-19
Ksivusya [100]

Answer:

(x , y) = ( -4 , 1)

Step-by-step explanation:

2x + 7y = -1 --------eqn 1

4x - 3y = -19 ----------eqn 2

Step 1: let's pick eqn 1, to make y the subject of the formula

2x + 7y = -1

7y = -1 - 2x

Divide both sides by 7, to make y the subject of the formula

7y/7 = (-1 - 2x)/7

y = (-1 - 2x) / 7

Step 2: substitute y into the equation 2

4x - 3y = -19

4x - 3(-1 - 2x)/7 = -19

Open the bracket

-3 * -1 = +3

-3 * -2x = +6x

4x +( 3 + 6x)/7 = -19

LCM = 7

(28x + 3 + 6x)/7 = -19

(34x + 3)/7 = -19

Cross multiply

34x + 3 = 7 * -19

34x + 3 = -133

34x = -133 - 3

34x = -136

Divide both sides by 34,to get the value of x

34x/34 = -136/34

x = -4

Step 3: substitute x = -4 into eqn 1

2x + 7y = -1

2(-4) + 7y = -1

-8 + 7y = -1

7y = -1 + 8

7y = 7

Divide both sides by 7, to the value of y

7y/7 = 7/7

y = 1

(x , y) = ( -4 , 1)

3 0
3 years ago
A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides is to be made of material t
Nat2105 [25]

Answer:

Length of the rectangle = 9.58 feet and width = 27.14 foot

Step-by-step explanation:

Let the length of the rectangular area is = x feet

and the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 260

y = \frac{260}{x} -------(1)

Cost to fence the three sides = $3 per foot

Therefore cost to fence one length and two width of the rectangular area

= 3(x + 2y)

Similarly cost to fence the fourth side = $14 per foot

So, the cost of the remaining length = 14x

Total cost to fence = 3(x + 2y) + 14x

Cost (C) = 3(x + 2y) + 14x

C = 3x + 6y + 14x

  = 17x + 6y

From equation (1)

C = 17x+\frac{260\times 6}{x}

Now we take the derivative,

C' = 17 - \frac{1560}{x^{2} }

To minimize the cost of fencing,

C' = 0

17 - \frac{1560}{x^{2} } = 0

\frac{1560}{x^{2} } = 17

x^{2} =\frac{1560}{17}

x=\sqrt{\frac{1560}{17} }

x = 9.58 foot

and y = \frac{260}{9.58}

y = 27.14 foot

4 0
3 years ago
How does heat from charcoal stove reach the person near it
Kipish [7]

there are the ways to reach that are conduction,convection and radiation

6 0
3 years ago
Solve with substitution
N76 [4]
I hope this helps you


y=-2x


x+3.(-2x)=15


x-6x=15


-5x=15


x=-3


y=-2.-3=6
3 0
4 years ago
Read 2 more answers
Evaluate the expression: 16P4
Tju [1.3M]

The expression 16p⁴ will be written as (2p)⁴.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

16p⁴  = ( 2 x 2 x 2 x 2)p⁴

16p⁴  = 2⁴ x p⁴

16p⁴  = ( 2p )⁴

Therefore, the expression 16p⁴ will be written as (2p)⁴.

To know more about expression follow

brainly.com/question/723406

#SPJ1

8 0
2 years ago
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