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MakcuM [25]
4 years ago
6

Find 2 consecutive positive even integers such that the product of the 1st and 2nd is 2 less than 5 times the 3rd. Use an algebr

aic solution.
Mathematics
1 answer:
Aloiza [94]4 years ago
6 0
Assume the smaller one is x, then the other ones will be x+2 and x+4

x(x+2) + 2 = 5(x+4)

x^2 + 2x - 5x - 18 = 0

-> x^2 - 3x - 18 = 0

-> (x-6)(x+3) = 0

-> x = 6 or -3, since x must be positive, then x = 6

So the numbers are: 6, 8, 10
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You roll a 6-sided die.
Lerok [7]

Answer:

\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

  • We know 1 \cdot 35 = 35, so two factors are 1 and 35.
  • We know 5 \cdot 7 = 35, so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be  \frac{2}{6} = \frac{1}{3} since there are two factors and 6 possible options.

This means, logically, there is a  \frac{4}{6} = \frac{2}{3}  chance of not rolling a factor of 35.

Hope this helped!

5 0
3 years ago
Please answer this question!I don’t understand it-Question number 2
Tasya [4]

Answer: The greatest depth of the Southern Ocean is 7.24

Step-by-step explanation:

So, if you add all the greatest depths up, you get 33.23

(33.23 + x)/5 = 8.094

Multiply each side by 5

33.23 + x = 40.47

Subtract 33.23 from each side

x = 7.24

You can check this by adding all the numbers up and dividing them by 5

40.47/5 = 8.094

7 0
3 years ago
Read 2 more answers
Sonya has 140 beads. how many bags of 10 beads does she need so that she will have 200 beads in all
Vikentia [17]
If Sonya already has 140 beads, she needs 60 beads in order to have a total number of 200 beads. You have to find how many bags (that hold 10 beads) are needed to add up to 60.

140 + 10x = 200
10x = 60
x = 6

Sonya needs 6 bags 
7 0
3 years ago
Read 2 more answers
What are the steps to get your x in this quadratic equation? 4x^2 - 24x + 7 = 3
earnstyle [38]

Answer:

I DONT KNOW

Step-by-step explanation:

>-<

4 0
3 years ago
Find the area of a regular hexagon inscribed in a circle with a radius of 6 feet. Round to the nearest tenth.
raketka [301]

Answer:

93.5ft

Step-by-step explanation:

7 0
3 years ago
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