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ehidna [41]
2 years ago
15

The sum of three consecutive odd numbers is 39. What is the smallest of these numbers?

Mathematics
1 answer:
8_murik_8 [283]2 years ago
5 0

Step-by-step explanation:

As, they all are consecutive and odd

The equation = x + (x + 2) + (x + 4) = 39

X represent the first number and also the smallest one

X + 2 is the 2nd number, it's consecutive and odd so we need to add 2

X + 4 is the 3rd number, it's consecutive and odd to (x+2) so we will just add 2 more = x + 2 +2 = x +4

So x + (x + 2) + (x + 4) = 39

3x + 6 = 39

3x = 39 - 6

3x = 33

x = 11

So smallest number = 11

And x + 2 = 11+2 = 13 (second number)

And x + 4 = 11 + 4 = 15 ( third number )

So only because u asked for the smallest

So it's 11

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The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
IrinaVladis [17]

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

\dfrac{x}{x+240}=\dfrac{2}{5}

5x=2(x+240)

5x=2x+480

Subtract 2x from both sides.

5x-2x=480

3x=480

Divide both sides by 3.

x=\dfrac{480}{3}

x=160

So, the cost of shirt is $160.

Now, the cost of jacket is:

160+240=400

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

6 0
2 years ago
What is the value of x
aivan3 [116]

Answer:

x=14√3 and y=28

Step-by-step explanation:

This is a 30, 60, 90 triangle. We have to multiply 14 by 2 to get the hypotenuse. In this case, the hypotenuse is y. 14x2 is equal to 28. Therefore, y=18. The long side is equal to the small side times the √3. Therefore, x is equal to 14√3. Therefore, x=14√3 and y=28.

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2 years ago
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Answer:

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Step-by-step explanation:

7 0
2 years ago
Need help with this plz
madreJ [45]

Answer:

4. x = 16.8

5. x = 35.98

Step-by-step explanation:

For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.

For number 4, the equation you are setting up is tan 35 = x/24.  Multiply 24 on both sides to get the answer which is 16.8 for the x side.

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3 years ago
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Genrish500 [490]
The answer is approximately 11.18.
3 0
3 years ago
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