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3 years ago

What is the solution to the equation 3/7(x+3)+5=3x+2?

Mathematics

2 answers:

bezimeni [28]3 years ago

7 0

Answer:

x=5/3

Step-by-step explanation:

x=5/3 hope this helps (-:

harkovskaia [24]3 years ago

6 0

Answer:

5/3

Step-by-step explanation:

i added a picture that will help you solve it.

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The sum of two consecutive positive even integers is at most 14. List all possible pairs of integers.

anastassius [24]

Let X be the first number
there is a 2 numbers distance between each even number eg.2 ,4, 6, 8, etc.
So the 2nd number is X+2
The sum of the 1st and 2nd numbers = 14
X + X+2 =14
2X +2 =14
2X = 14-2
2X = 12
X = 12/2
X = 6
Therefore,
The first number i.e, X = 6
And the second number i.e, X+2 = 6+2 =8
******************************************************************************
This is the only positive pair in case of two consecutive numbers if the are even numbers but not consecutive there will be more pairs
12 + 2 = 14
10 + 4 = 14
8 + 6 = 14 (Already found)

6 0

3 years ago

Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

Firlakuza [10]

The amount of substance left of a radioactive element of half life, $t_{\frac{1}{2}}$ after a time, t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{ \frac{1}{2} }}$

Given that potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

$0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\ \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\ \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\ \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\ \\ t=9.966(1.25)=12.5$

Therefore, the maximum age of a fossil that we could date using 40k is 12.5 billion years.

3 0

3 years ago

A man goes into business for himself selling dog houses. The materials for the dog houses cost him $45 per house. He sells them

Aleks [24]

Answer:

$600

Step-by-step explanation:

subtract 45 from 75, you get 30. multiply 30 by 20, and there is your answer.

7 0

3 years ago

I need work shown :)

OLga [1]

Answer:

i cant really see it

Step-by-step explanation:

7 0

3 years ago

SOMEONE HELP!!! Can not get this wrong

pishuonlain [190]

Answer:

This is an geometric sequence with a common ratio r of 1/2

Step-by-step explanation:

When you find out r, you realize the ratio between the numbers to be dividing by 2, or 1/2. Since it is r and not common difference d, it is an geometric sequence.

7 0

3 years ago