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3 years ago

Hey?? Answer this question

Mathematics

1 answer:

Valentin [98]3 years ago

7 0

Answer:

Option D

Step-by-step explanation:

Because, there is equals symbol in the equation.

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John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collectio

MrRissso [65]

The number of postage stamps in John’s collection is 27.

We have given that,

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps.

<h3>What is an elimination method?</h3>

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Johan and Jonathan have the same number of stamps.

Let x be the Johan and Jonathan postal stamps.

Let y be the John postal stamps.

Two times Johan’s collection is eleven less than five times John’s collection.

2x = 5y - 11............(1)

Three times Jonathan’s collection is three less than seven times John’s collection.

3x = 7y - 3............(2)

Multiply equation 1 with 3

3(2x = 5y - 11)

⇒ 6x = 15y - 33.........(3)

Multiply equation 2 with 2

2(3x = 7y - 3)

⇒ 6x = 14y - 6.............(4)

Subtract equation 4 from equation 3

⇒ 6x - 6x = 15y - 33 - (14y - 6)

⇒ 0 = y - 27

⇒ y = 27

Hence, the number of postage stamps in John’s collection is 27.

Find more information about the elimination method here

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6 0

1 year ago

Solve the following equation.

amm1812

U=2
s= -2
those are the first two

4 0

3 years ago

What is 2.35 rounded to the nearest hundredth.

Sloan [31]

2.35 is already rounded to the nearest hundredth.

6 0

2 years ago

Let $x$ be the positive number such that $2x^2 = 4x + 9.$

loris [4]

Solve for x. I'll do it by completing the square:

2x² = 4x + 9

2x² - 4x = 9

x² - 2x = 9/2

x² - 2x + 1 = 11/2

(x - 1)² = 11/2

x - 1 = ± √(11/2)

x = 1 ± √(11/2)

x = 1 ± √22/2

x = (2 ± √22)/2

Take the solution with the positive square root. Then it follows that a = c = 2 and b = 22. So a + b + c = 26.

4 0

2 years ago

Linear programming subjected to constraints

anyanavicka [17]

Answer:

The maximum value of C is 14

Step-by-step explanation:

we have the following constraints

$x\geq 0$ ----> constraint A

$y\geq 0$ ---> constraint B

$2x+2y\leq 10$ ---> constraint C

$3x+y\leq 9$ ---> constraint D

Determine the area of the feasible region using a graphing tool

see the attached figure

The vertices of the feasible region are

$(0,0),(0,5),(2,3),(3,0)$

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertices in the objective function an then compare the results

we have

$C=4x+2y$

For (0,0) ----> $C=4(0)+2(0)=0$

For (0,5) ----> $C=4(0)+2(5)=10$

For (2,3) ----> $C=4(2)+2(3)=14$

For (3,0) ----> $C=4(3)+2(0)=12$

therefore

The maximum value of C is 14

8 0

3 years ago