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MAXImum [283]
3 years ago
6

The sum of 6 consecutive integers is 270. What is the second number in the sequence?

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0
N+(n+1)+(n+2)+(n+3)+(n+4)+(n+5)=270
We use these terms to represent the first six consecutive integers in the sequence
Now we group like terms:
6n+15=270
Minus 15 from both sides of the equation
6n=255
n=42.5 which is not an integer
Is this a joke question?
Besides that, the 2nd number will be 43.5
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Maggie is training to run a 6 mile race. Her training program has her increase her weekly long run each week. This week she ran
Korvikt [17]

Answer:

Maggie will run 5.85 miles next week.

Step-by-step explanation:

Given:

Maggie is training to run a 6 mile race.

This week Maggie ran = 4.5 miles

Also Given:

Next week she will run 1.3 times as far as she did this week.

We need to distance she will run next week.

Now we know Next week she will run 1.3 times as far as she did this week.

It means Distance to be run next week will be equal to 1.3 times distance she ran this week.

Framing in equation form we get;

distance she will run next week = 1.3\times 4.5 = 5.85 \ miles

Hence Maggie will run 5.85 miles next week.

6 0
3 years ago
Answer options <br><br> 2<br><br> 3<br><br> 4<br><br> 5
777dan777 [17]

Answer:

k = 5

Step-by-step explanation:

given f(x) then f(x) + k represents a vertical translation of f(x)

• If k > 0 then a shift of k units up

• If k < 0 then a shift of k units down

f(x) crosses the y- axis at - 2

g(x) crosses the y- axis at 3

Thus g(x) is 5 units vertically up from f(x)

since g(x) = f(x) + k → then k = 5

7 0
3 years ago
Each cube in this solid figure is a unit cube.<br><br> What is the volume of this solid figure?
padilas [110]

Answer:

The volume of this given solid figure is 18 cubic units.

Step-by-step explanation:

Here, given the volume of 1 small cube = 1 cubic units

Now, counting the total cubes in the given solid figure, we get

Number of cubes in base row = 10

Number of cubes in middle row  = 6

Number of cubes in top most row = 2

So, the total number of cubes in the figure  = 10 + 6 + 2 = 18 cubes

So, the volume of 18 cubes  = 18 ( Volume of 1 small cube)

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Hence, the volume of this given solid figure is 18 cubic units.

5 0
3 years ago
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Lelu [443]

Answer:

Therefore the number of brown shells in each necklace was  = 2 brown shells.

Step-by-step explanation:

If Julie made identical necklaces then we can say that number of each different colored shells were equally distributed among the necklaces.

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Therefore the GCD of 10, 15 and 20 is 5.

Therefore Julia made 5 necklaces.

Therefore the number of brown shells in each necklace was = \frac{10}{5} = 2 shells.

4 0
3 years ago
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Strike441 [17]
Is there answer choices? does it give you any numbers for the sphere


3 0
3 years ago
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