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3 years ago

The sum of 4 consecutive integers is 40 what is the third number in this sequence?

1 answer:

3 0

Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40 The third number in the sequence is x+2
4x+6=40 8.5+2=10.5
4x+6-6=40-6 Therefore the third number in the sequence is
4x=34 10.5
4x/4=34/4
x=8.5

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The frequency table shows the results of tossing a number cube 50 times. Which statement

Paul [167]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = $\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}$

= $\frac{10}{8+10+6+10+7+9}$

= $\frac{10}{50}$

= $\frac{1}{5}$

Therefore, option (4) is incorrect.

3 0

2 years ago

A + B = 40 B + C = 50 C + A = 30 Give a whole number value for A, B and C to make the above true. A = _____ B = _____ C = _____

Anestetic [448]

Answer:

a=10 b=30 c=20

Step-by-step explanation:

10+30=40 30+20=50 20+10=30

4 0

2 years ago

A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 de

____ [38]

Let the price of a ticket be originally T dollars, and the number of clients be N.

let the price decrease by x 3-dollars.

"there is an average increase of 4 people for every $3 decrease on the price of the ticket."

means:

if the price is decreased by 1-3$:
then N become N+4, and T becomes T-3

if the price is decreased by 2-3$:
then N become N+4+4=N+2*4, and T becomes T-3-3=T-2*3

So if the price is decrease by x-3 dollars:

N becomes N+4x, and T becomes T-3x

"A circus owner sells an average of 340 tickets when the price of a ticket is $75."

In this case N=340, and T=75$

If the owner does not change the price ticket, x=0, the revenue is 340*75,

If the owner decreases the price of the tickets by x-3$, then the revenue will be
(N+4x)(T-3x)=(340+4x)(75-3x) dollars,

If R is the function of the revenue depending on x, then

R(x)=(340+4x)(75-3x) dollars

Answer: R(x)=(340+4x)(75-3x) dollars

8 0

3 years ago

A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$