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Brut [27]
3 years ago
6

Find two consecutive odd integers such that 32 more than the lesser is three times the greater​

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

First odd number  = 13

Second odd number  = 15

Step-by-step explanation:

Let

First odd number  = 2x + 1

Second odd number = 2x + 3

According to given conditions:

32 + 2x + 1= 3 (2x + 3)

33 + 2x = 6x + 9

Taking terms with x to left and constants to right

2x - 6x = 9 - 33      (sign of transferred terms will be changed)

-4x = -24    

Dividing both sides by -4

x = -24/-4

x =6

So,

First odd number  = 2x + 1 =  2*6 + 1 = 12 + 1 =13

Second odd number = 2x + 3= 2*6 +3= 12 + 3 = 15

I hope it will help you!

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0.045 is 1% of what number?
Ivanshal [37]

4.5

1/100 × 4.5 = 0.045

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8 0
2 years ago
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A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not
Juli2301 [7.4K]
<h3>Answers:</h3>

The probability of not drawing a red marble is   7/10

The probability of drawing a red marble is  3/10

=======================================================

Explanation:

We have 3 red marbles out of 5+2+3 = 10 total. Therefore, the probability of selecting a red marble is 3/10.

The probability of not selecting a red marble is 7/10 because 3/10+7/10 = 1. Put another way, we have 7 marbles that aren't red (the 5 blue and 2 black ones) out of 10 total.

7 0
4 years ago
Consider an angle with a measure of θ=225∘.
wel

Answer:

cos 225° = -\frac{\sqrt{2} }{2}

sin 225° = -\frac{\sqrt{2} }{2}

tan 225° = 1

Step-by-step explanation:

I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45°   (225 - 180 = 45)

cos and sin are negative in the 3rd quadrant and the tan is positive

cos 225° = - cos 45° = -\frac{\sqrt{2} }{2}

sin 225° = -sin 45° = -\frac{\sqrt{2} }{2}

tan 225° = tan 45° = 1

8 0
2 years ago
Write<br> 83<br> 50<br> as a decimal.
Katyanochek1 [597]

Answer:

0.83,0.50

Step-by-step explanation:

Since there are 2 digits in 83, the very last digit is the "100th" decimal place.

So we can just say that .83 is the same as 83/100.

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7 0
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aleksley [76]

Answer:

-36m + 900 < 44m + 100

Step-by-step explanation:

Given that:

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So, Laura drains the first barrel at the rate of 36 liters/ min

Since Laura is draining the solution in the first barrel;

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Since Laura is filling the barrel; we have: 44m + 100

Therefore; the inequality representing when the second barrel contains a greater or equal amount of solution than the first barrel can be expressed as:

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6 0
3 years ago
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