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Dafna11 [192]
3 years ago
6

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

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0
Choose x to represent the 1st number in the sequence.
The 2nd is x+2.
The 3rd is x+4
The 4th is x+6, and
The 5th is x+8

The sum of these 5 numbers is 5x + 2 + 4 + 6 + 8 = 310

Thus, 5x = 310 - (2+4+6+8)        or    5x = 310 - 20.     5x = 290

Then x comes out to be 58.

the 2nd number is 58+2 = 60.

The 3rd number is 60 + 2 = 62.   This is the answer.
Goshia [24]3 years ago
4 0
The third  number in this sequence that adds to 3120 is 62
You might be interested in
Which expression is equivalent to the given expression? 17x−32x x(17−32) x(32−17) 17x(1−32) 17(x−32)
Scilla [17]
The answer would be 17(x-32)
7 0
3 years ago
A bag contains 4 white,5 blacks and 2 blue balls. 3 balls are drawn one after the other without replacement from the bag .what i
Doss [256]

Answer:

24/99

Step-by-step explanation:

From the question given above, the following data were obtained:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

Probability that they are of different color =?

Next, we shall determine the total number of balls in the bag. This can be obtained as follow:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 4 + 5 + 2 = 11 balls

Next, we shall determine the possible outcome of draw. This can be obtained as follow.

The possible outcome could be:

WBLB or WBBL or BBLW or BWBL or BLBW or BLWB

Next we shall determine the probability of each of outcomes.

Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 11

P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990

P(WBLB) = 4/99

P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990

P(WBBL) = 4/99

P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990

P(BBLW) = 4/99

P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990

P(BWBL) = 4/99

P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990

P(BLBW) = 4/99

P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990

P(BLWB) = 4/99

Finally, we shall determine the probability that they are of different color. This can be obtained as follow:

P(WBLB) = 4/99

P(WBBL) = 4/99

P(BBLW) = 4/99

P(BWBL) = 4/99

P(BLBW) = 4/99

P(BLWB) = 4/99

Probability that they are of different color =?

Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)

= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99

= (4 + 4 + 4 + 4 + 4 + 4)/99

= 24/99

Thus, the probability that they are of different color is 24/99

4 0
3 years ago
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store th
eduard

Answer:

51

Step-by-step explanation:

Well we first need to find the volume of the soup in the pot using the following formula,

πr^2h

15*15 = 225

225 * 25 = 5625

5625 * pi = <u>17671.46</u>

Now we need to find the volume of the ice cube using the formula,

l*w*h

7*7*7 = <u>343</u>

Now we do 17671.46 ÷ 343 = 51.5202915452

You can have half an ice cube,

thus, Sharon can make 51 whole cubes.

<em>Hope this helps :)</em>

5 0
3 years ago
Read 2 more answers
Alex paid $4.40 for 2.5 pounds of walnuts . What is the cost of one pound of walnut
igomit [66]

Answer:

Therefore, the price would be 1.76 per pound of the walnut.

Step-by-step explanation:

To calculate the price per pound of the walnut, we just have to divide that price that Ava paid for the given amount of walnuts. We calculate as follows:

Price per pound = 4.40 / 2.50 pounds of walnuts

Price per found = 1.76 / pound of walnut


Hope this helps!

8 0
3 years ago
0.1846 as a fraction
olchik [2.2K]

923/5000

If you put it in your calculator

4 0
3 years ago
Read 2 more answers
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