The sum of 5 consecutive even numbers is 310. What is the third number in this sequence?

Answers

Answer 1
Answer: A simple way to solve for consecutive numbers is to divide the sum number by the number of numbers needed. So 310 ÷ 5, which equals 62. That is the middle consecutive number.

To find the other 4 numbers, since they are all even, sinply add 2 to the middle number to find one, add 2 to that to find another, subtract 2 from the middle number to fine the third, and subtract 2 from that to find the final one.

62 + 2 = 64
64 + 2 = 66
62 - 2 = 60
60 - 2 = 58

so your numbers are 58, 60, 62, 52, and 66. Together they add up to 310.

(I may have done this a non-standard way, bit it was the way that made the most sense in my head.)



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Solve for x.

6x + 2 = 14

Answers

6x + 2 - 2 = 14 - 2
6x/6 = 12/6
x = 2

The word ‘over’ is to show a fraction btw
10 over x-4 = 6

Answers

Answer:

x = (17)/(3)

Step-by-step explanation:

(10)/(x-4)=6\n\n

10 = 6*(x -4)

10 = 6*x - 6*4

10 = 6x - 24

Add 24 to both sides

10 + 24 = 6x - 24 + 24

34 = 6x

6x = 34

Divide both sides  by 6

6x/6 = 34/6

x = (17)/(3)

What is the solution to the equation?5(8 + 7) = 5 • x + 5 • 7

A.
x = 1

B.
x = 5

C.
x = 7

D.
x = 8

Answers

5(8 + 7) = 5(8) + 5(7) . . . . . . . . (distributive property)
Therefore, x = 8

X=8 completely right.

Veronica is buying cubed cheese from Mr. Sands deli she asked for 1 3/4 pounds when Mr. Sand places some cheese in a container and weighs it the scale shows 1 1/4 pounds the container weighs 1/16 pound how many more pounds of cheese would Mr. Sand need to add to the scale to get the amount that veronica asked for? Explain how you solved the problem

Answers

Amount of cubed cheese that Veronica wants to buy = 1 3/4 pounds
                                                                                     = 7/8 pounds
Weight of the container in which Mr. Sand places the cube = 1/16 pounds
Weight of the cubed cheese and container together = 1 1/4 pounds
                                                                                    = 5/4 pounds
Then
Amount of cubed cheese placed by Mr. Sands = (5/4 - 1/16) pounds
                                                                            = (20 - 1)/16 pounds
                                                                            = 19/16 pounds
So
The quantity of more cheese that
Mr.Sands need to add to the scale = (7/4 - 19/16) pounds
                                                         = (28 - 19)/16 pounds
                                                         = 9/16 pounds.
From the above deduction we can easily conclude that Mr. Sand needs to add 9/16 pounds of cubed cheese to fullfil the order placed by Veronica.

Answer: 9/16

Step-by-step explanation:

First, we must find the answer to the hidden question: How much cheese did Mr. Sand put in the container without the weight of the container? We can rename 1 1/4 to 1 4/16, so 1 4/16 - 1/16 = 1 3/16

Now we must find the amount of cheese that needs to be added. We can rename 1 3/4 to 1 12/16 by multiplying it by 4/4. 1 12/16 - 1 3/16 = 9/16

9/16 pound of cheese should be added to get the amount Veronica asked for.

What is the value of the expression below when w = 5?
2w2 – 2w + 3

Answers

Answer:

I got you

Step-by-step explanation:

2 time 5 times 2 is 20. This minus 2 times 5 is 10 plus 3 is 13.

Answer:13

Step-by-step explanation:

If you can only use 3 of these numbers once to find a sum of 30 without subtracting or adding additional numbers, what three numbers would you use out of 1, 3, 5, 7, 9, 11, 13, and 15? ()+()+()=30

Answers

Answer:

The correct answer is

It is impossible to add odd numbers (1, 3, 5, 7, 9, 11, 13, and 15) and odd number of times (3) to get an even number (30)

Step-by-step explanation:

1, 3, 5, 7, 9, 11, 13, and 15 are all odd numbers and 30 is an even number

When odd numbers are added even times the answer is always even for example 3 + 5 = 8,  and when odd numbers are added odd times the answer is always odd for example 1 + 5 + 7 = 13

It is not possible to add three odd numbers to get an even number

Where x = odd therefore x + 1 = even = y say

hence  2 × x = 2×(y-1) = 2·y - 2 = even number

Also 3 × x = (3y -3) = odd number

Answer: The answer is 7+(3+5)+15 = 30