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Viefleur [7K]
2 years ago
7

The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?​

Mathematics
1 answer:
stiv31 [10]2 years ago
3 0

Answer:

35

Step-by-step explanation:

1. Set up a equation.

2. X is the first, so the ones after x are x+2, x+4, x+6, x+8, and x+10.

3. That means that x+x+2+x+4+x+6+x+8+x+10=204.

4. Simplify. You would get that 6x+30=204.

5. Solve for x. 6x=174, so x=29.

6. Get the fourth number in the sequence. 29+6=35.

Answer: The fourth number in this sequence is 35.

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The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Montano1993 [528]

Answer:

0.2 miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points (0,3), (5,4),(10,5)...

From these points we can find the slope of the line .

From point slope formula y-y_1=m(x-x_1)

And assigning (x,y) (0,3) and (x_1,y_1) (5,4)

m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2

This slope is also the speed of the bird which is 0.2\ miles\ per\ minute.

As by plugging the values of any coordinate point we can confirm this.

Lets put (10,5), y-axis is the distance so in 10 minutes the the distance covered by the bird must be equal to to y-axis value which is 5 miles.

y=0.2(x),y=0.2(10)=5\ miles

Now as in t=0 the bird has started from y-intercept value 3 so we can say that,the original distance of the bird from its nest is 3\ miles.

So the correct choices are:B and D

The birds speed is 0.2\ miles per minute and is 3\ miles away from its nest.

7 0
2 years ago
people ask me sometimes why can’t you do your homework and I say it’s because I help people with theres and they never help me :
Mariana [72]

Answer:

6is divisor

6is quotient

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3 0
2 years ago
If p is false, q is true, and r is true, why is the value of (p v ~q) v r
pychu [463]
q=T\implies \neg q=F

p=F\,\land\,\neg q=F\implies p\,\lor\,\neg q=F

r=T\implies (p\,\lor\,\neg q)\,\lor\,r=T
3 0
3 years ago
2) Which statement is correct?
prohojiy [21]
Answer = a

Explanation- A cube is a 3D figure and each face would be a square since it is a cube. Since each side is a square all the sides are the same Width, Length, and height. Therefor you would be multiplying whatever number your have by itself 3 times because the formula would be Length x Width x Height
3 0
2 years ago
Can you helo please !!!!
Maurinko [17]

The answer for your question is B

4 0
3 years ago
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