On a certain day, the company took 92 people on whale watching trips. There were 40 children aged 12 and under, of which some children were under three years. If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day? (92 − x)36 + (92 − 40) ⋅ 48 = C
(40 + x)36 + (92 − (40 + x)) ⋅ 48 = C
(92 + x)36 + (92 − (40 + x)) ⋅ 48 = C
(40 − x)36 + (92 − 40) ⋅ 48 = C

Answers

Answer 1

Answer: If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day is (40 + x)36 + (92 − (40 + x)) ⋅ 48 = C

Answer 2

Answer:

(40 + x)36 + (92 − (40 + x)) ⋅ 48 = C

Step-by-step explanation:

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A skier has decided that on each trip down a slope, she will do 2 more jumps than before. On her first trip she did 6 jumps. Derive the sigma notation that shows how many total jumps she attempts from her fourth trip down the hill through her twelfth trip. Then solve for how many total jumps she attempts from her fourth trip down the hill through her twelfth trip.I tried to answer, but I don't really know how to even set it up... :/

Answers

The correct answers are:

Explanation:

Since she is adding two more jumps every time she goes down hill, this is an arithmetic sequence. The general form of an arithmetic sequence is

Since we want the number of jumps on her 4th through 12th trips, we will set n in the summation from 4 to 12. n=4 goes at the bottom of Σ and 12 goes at the top, to represent the values we are interested in.

Beside this, we write our general form. The first term is 6 and d, the common difference, is 2. This gives us 6+2(n-1) beside the summation:

$\Sigma_(n=4)^(12) 6+2(n-1)$

To evaluate this, we substitute the values 4, 5, 6, 7, 8, 9, 10, 11 and 12 in for n, adding all of the values together:

6+2(4-1)+6+2(5-1)+6+2(6-1)+6+2(7-1)+6+2(8-1)+6+2(9-1)+6+2(10-1)+6+2(11-1)+6+2(12-1)

=6+6+6+8+6+10+6+12+6+14+6+16+6+18+6+20+6+22

=180

I'll just manually compute this one. Every attempt she will add 2 more jumps.

Attempt Jumps Accumulated Jumps
1 6 6
2 8 14
3 10 24
4 12 36
5 14 50
6 16 66
7 18 84
8 20 104
9 22 126
10 24 150
11 26 176
12 28 204

Total jumps from 4th trip through 12th trip: 204 - 24 = 180 jumps

14x2,645 is my question

Answers

The answer for 14 x 2645 = 37,030

Pleaseeeee help :'))))

Answers

Answer:

The answer is

x= -35

Step-by-step explanation:

x/5= -7

x= -35. :-)

Answer:

The answer to the equation is x= -35

Lily and julian start with the same number.Lily works out half the number and Julian works out 3 quarters

The sum of their answers in 275

What was the starting number explain pls.?

Answers

x - the starting number

$(x)/(2)+(x)/(3)=275|\cdot6\n3x+2x=1650\n5x=1650\nx=330$

Chloe drives from her house to her grandma's house 53 miles away in an hour and 4 minutes. How fast was she driving on average?

Answers

Answer

49.67mph

Step-by-step explanation:

Data: 53 miles

1 hour 4 minutes.

Convert 4 minutes to hours:

4/60 = .067

Add like terms (hours)

1+ 0.067= 1.067

mph = m/h

mph = 53/1.067 = 49.67mph

The average speed of the car will be 49.67mph.

What is speed?

The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require any direction to represent it.

Given that Chloe drives from her house to her grandma's house 53 miles away in an hour and 4 minutes. The speed will be calculated by using the formula below:-

Distance traveled = 53 miles

Time = 1 hour 4 minutes.

Convert 4 minutes to hours:

4/60 = .067

Add like terms (hours)

1+ 0.067= 1.067

Now the speed will be:-

Speed = Distance / Time

Speed = 53 / 1.067

Speed = 49.67 mph

Therefore, the average speed of the car will be 49.67mph.

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