All categories

3 years ago

Q # 15 I need help please to resolve

Mathematics

1 answer:

kow [346]3 years ago

7 0

The sequence is

740, 707.60,675.20,642.80,...

Here first term is 740, and common difference, d is

$707.60-740 = -32.40$

Now we use the formula of nth term, which is

$a_{n} = a+(n-1)d$

Substituting the values of a,n and d, we will get

$=740+(n-1)(-32.40), 23 months$

Correct option is the second option .

You might be interested in

During the spring and summer months, the Happy Home Motel sees a rise in travelers. The manager of the motel turned in this repo

Korvikt [17]

Answer:

342

Step-by-step explanation:

Let's see the difference is each successive values:

232 - 217 = 15

252 - 232 = 20

277 - 252 = 25

307 - 277 = 30

As we can see, each month the increase is 5 more than previous months' increase. <em>Clearly from the pattern we can surmise that the next month (August), it will increase by 35 from the value of July.</em>

Number of visitors in August = Number of Visitors in July + 35 = 307 + 35 = 342

4 0

3 years ago

Read 2 more answers

A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of

Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

$5c+7s+12a=2808$

We also know that the children attendance doubles the adult attendance:

$c=2a$

The third equation is the seating capacity, which we assume is full:

$c+s+a=387$

We start by replacing variables in two of the equations:

$c=2a\\\\s=387-c-a=387-2a-a=387-3a$

Then, we solve the remaining equation for a:

$5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99$

Then, we solve for the other two equations:

$c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90$

The attendance was 198 children, 90 students and 99 adults.

8 0

3 years ago

What is an equation of the line that passes through the points (-2,-5) and (-1,1)

alekssr [168]

Answer:

Slope = 6

Step-by-step explanation:

Slope = $\frac{y^{2}-y^{1} }{x^{2}-x^{1} } =\frac{1-(-5)}{-1-(-2)}=\frac{1+5}{-1+2}=\frac{6}{1}=6$

6 0

2 years ago

I NEED THIS ASAP Are two regular hexagons always congruent? Explain your answer

Scorpion4ik [409]

The two regular hexagons could have different side lengths, so they will not necessarily always be congruent, but they will always be similar.

8 0

3 years ago

Read 2 more answers

What is the distance of this line?<br><br>Which is the right answer?

Shtirlitz [24]

Answer:

Step-by-step explanation:

We can use the distance formula derived from the Pythagorean theorem

D = $\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}$

the two points given are

(0, 3) and (-2, -3)

$(x_2-x_1) = (0-(-2)) = 2\\(y_2-y_1) = (3-(-3)) = 6\\D = \sqrt{(2)^2 + (6)^2} \\D = \sqrt{4 + 36} \\D = \sqrt{40} = 6.324$

6 0

2 years ago