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3 years ago

If 3x + y = k (x-3), then x =

Mathematics

2 answers:

Fantom [35]3 years ago

8 0

The above answer will be calculated as -

This is a linear equation in more than one variable. We will convert the equation for the value of x.

We will shift all the other variables other side, except x.

Given,

3x + y = k ( x -3)

3x + y = kx - 3k

3x - kx = - 3k - y

x (3 - k) = - (y + 3k)

x = $\frac{- (y + 3k)}{- ( k -3)}$

x = $\frac{ (y + 3k)}{ ( k -3)}$

<u>Thus, the value of x has been calculated.</u>

Semmy [17]3 years ago

8 0

Move all terms to the left side and set equal to zero. then set each factor equal to zero
X = $\frac{3k+y}{k-3}$

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Let u = , v = . Find 4u - 3v. (2 points)

Effectus [21]

Answer:

4,-3.. that is the answer for the question

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3 years ago

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kvv77 [185]

Multiply by 4 on both sides. This results into:

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4 years ago

Min-Jee is planting two rectangular flower beds. One bed is 2.78 feet by 4.81 feet, and the other bed is 2.78 feet by 5.61 feet.

shusha [124]

Answer: $(2.78+4.81)(2.78+5.61)$

Step-by-step explanation:

<h3> The complete exercise is attached.</h3><h3></h3>

The area of a rectangle can be calculated with this formula:

$A=lw$

Where "l" is the lenght and "w" is the width.

Then, you can notice that it can be obtained by multiplying the dimensions of the rectangle.

Knowing this, you can determine that the total area of the two flowers bed can be obtained by adding the products of their dimensions.

Since one of the rectangular flower bed is 2.78 feet by 4.81 feet and the other bed 2.78 feet by 5.61 feet, you can write the following expression to find the total area (in square feet)of the two beds:

$2.78*4.81 +2.78*5.61$

If you factor out 2.78:

$2.78(4.81 +5.61)$ or $(4.81 +5.61)2.78$

Therefore, the expression that does not represent the total area in square feet of the two beds, is:

$(2.78+4.81)(2.78+5.61)$

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3 years ago

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The total amount of fence around a rectangular play area must be at least 90 feet, but no more than 120 feet. If the length of t

sergejj [24]

The perimeter of a triangle has the formula 2l + 2w. Since the length is twice as long as the width, l = 2w. We use this equations to two possible perimeters, 90 and 120 feet.

P = 90 feet
90 = 2(2w) + 2w
90 = 6w
w = 15 feet

P = 120 feet
120 = 2(2w) + 2w
120 = 6w
w = 20

Thus, the range of w is from 15 to 20 feet. The answer is <span>15 ≤ w ≤ 20</span>

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3 years ago

There are 400 people in a talent show in middle school in February 62% of students performed in the band concert how many studen

grandymaker [24]

Answer:

62% of 400 = 248

Step-by-step explanation:

62% of 400 = 0.62 × 400 = 248

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4 years ago