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alexira [117]
3 years ago
10

Enter the value for y that makes the equation 3y – 5y – (2y – 6) = 8y – 2(9y – 6) true.

Mathematics
1 answer:
romanna [79]3 years ago
8 0

Answer:

y = 1

Step-by-step explanation:

So to find the value of y that makes the equation true we have to calculate the value of y.

3y - 5y - (2y - 6) = 8y - 2(9y - 6)

First we have distribute;

3y - 5y - 2y + 6 = 8y - 18y + 12

Collect like terms next;

-4y + 6 = -10y + 12

Add 10y to both sides

6y + 6 = 12

Subtract 6 from both sides

6y = 6

Divide both sides by 6

y = 1

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Darina [25.2K]
B. y = -2 + 4
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5 0
3 years ago
PLEASE HELP I HAVE 10 MINUTES LEFT
Lena [83]

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

4 0
3 years ago
Find in the triangle. Round to the nearest degree.<br> a.<br> 45°<br> C. 60°<br> b. 59°<br> d. 42°
aleksklad [387]

Answer:

Theta = 59 degrees

Step-by-step explanation:

Here, we want to get the value of the marked angle

To do this, we use the appropriate trigonometric ratio

From what we have,

The side 42 ft is adjacent the angle given

The side facing the right angle is 82 ft

The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse

Cos theta = 42/82

theta = cos^-1 0.5122

theta= 59.189

To the nearest degrees, this is 59 degrees

6 0
3 years ago
The Japanese 5 yen coin has a hole in the middle.
alexandr402 [8]

Answer:

Subtract the two diameters and multiply by 0.5

Step-by-step explanation:

Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.

By subtracting the output we can then get the difference between both distances.

If hole diameter = 5mm and coin diameter = 22mm

Difference = [(22 - 5)mm] ÷ 2

17mm / 2 = 8.5mm

5 0
3 years ago
A book has 6 chapters in it, each with the same number of pages. The book also has an introduction that is 8 pages long. The who
VARVARA [1.3K]

Answer:

  • 31 pages

Step-by-step explanation:

Assumed the question is how many pages are in each chapter.

<u>Let it be x:</u>

  • 6x + 8 = 194
  • 6x = 186
  • x = 186/6
  • x = 31
8 0
3 years ago
Read 2 more answers
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