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maw [93]
3 years ago
7

If 5x:(x-2) = 11:3 , find the value of x ?​

Mathematics
2 answers:
Zigmanuir [339]3 years ago
6 0

Answer:

5 whole number 1/2

Step-by-step explanation:

5x:(x-2)=11:3

(:)This simply means ''ratio''

5x/(x-2) = 11/3

(cross multiply)

11(x-2) = 3(5x)

11x-22 = 15x

collect like terms

15x - 11x = 22

4x = 22

x = 22/4, but it is best you put it as a Mixed number.

x = 5 whole number 2/4, which can be reduced to

x = 5 whole number 1/2

Masteriza [31]3 years ago
5 0

Answer:

x = -11/2

Step-by-step explanation:

The ratios need to stay the same

5x        11

----- = -------

x-2       3

Using cross products

5x*3 = (x-2) 11

15x = 11x - 22

Subtract 11 from each side

15x-11x = -22

4x = -22

x = -22/4

x = -11/2

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Which trigonometric function has a range that does not include 0.4?
Montano1993 [528]
<h2>Hello!</h2>

The answer is: y=cscx

<h2>Why?</h2>

Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.

The range is where the function can exist in the vertical axis when we assign values to the variable.

First:

y=cosx: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)

Second:

y=cotx: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.

Third:

y=cscx: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).

Fourth:

y=sinx : Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).

I attached a pic of the csc function graphic where you can verify the answer!

Have a nice day!

8 0
4 years ago
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7 0
3 years ago
A small bottle of water holds 7 ounces of water. How many ounces of water do 9 bottles hold?
White raven [17]

Step 1

Given;

A\text{ small bottle of water holds 7 ounces of water}

Required; How many ounces of water do 9 bottles hold?

Step 2

To do this we will use the ratio;

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Answer;

9\text{ bottles of water holds 63 ounces}

3 0
1 year ago
Mrs.Anderson bought 4.3 pounds of bananas at 0.80 a pound and 2.1 pounds of grapes at 2.50 a pound. How much money Did Mrs.Ander
cupoosta [38]
Hi there! Bananas are sold at $0.80 per pound and grapes are sold at $2.50 per pound. To find out how much Mrs. Anderson spent overall, we need to find out how much she spent with each item and then add them up together. She bought 4.3 pounds of bananas and 2.1 pounds of grapes. Let's multiply each of them by the unit prices there are. 4.3 * 0.8 is 3.44 and 2.1 * 2.5 is 5.25. 3.44 + 5.25 is 8.69. There. Mrs. Anderson spent a total of $8.69.
8 0
3 years ago
3x + y = 4<br> x + 2y = -2
dsp73
3x+y=4 (y=-3x+4)

Plug it in for y x+2(-3x+4)=-2
x=2

Plug in for x 2+2y=-2
y=-2

Solution: (2,-2)



7 0
3 years ago
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