Help Question! Due Today

A student council is planning a trip. It has a maximum of $600 to spend on transportation. Regular busses seat 40 people and ren

miskamm [114]

Idk if you have to use the mini busses. I didn't I just used the regular busses.

40 (being how many people the regular busses hold) × 6 ( how many regular busses it would take to hold the minimum of 240 people) = 240

The cost of 6 regular busses would be $480 dollars which is definitely less than they're max budget. Hope that helps!

3 0

2 years ago

The first two terms of an arithmetic sequence are 7 and 4. Find the 7th term.

kobusy [5.1K]

EXPLANATION

If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+(n+1)d$

Check wheter the difference is constant:

Compute the differences of all the adjacent terms:

$d=a_{n+1}-a_n$

Replacing terms:

4-7 = -3

The difference between all of the adjacent terms is the same and equal to

d = -3

The first element of the sequence is

$a_1=7$ $a_n=a_1+(n+1)d$

Therefore, the nth term is computed by

d= -3

$a_n=7+\text{ (n-1)}\cdot(-3)$

Refine

d= -3 ,

$a_n=-3n+10$

Now, replacing n=7

$a_7=-3\cdot7+10\text{ = -11}$

So, the answer is -11.

8 0

1 year ago

Question 1: Find the equation of the line through point (5,4) and perpendicular to y=−43x−2. Use a forward slash (i.e. "/") for

Mariulka [41]

Answer:

Question 1: y = 3/4x + 1/4.

Question 2: y = 6/5x + 7/5.

Step-by-step explanation:

Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.

Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.

4 = 3/4(5) + b

b + 15/4 = 4

b = 16/4 - 15/4

b = 1/4

So, the equation of the line is y = 3/4x + 1/4.

Question 2: 5x + 6y = -6

6y = -5x - 6

y = -5/6x - 1

As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.

The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.

-1 = 6/5(-2) + b

b - 12/5 = -5/5

b = -5/5 + 12/5

b = 7/5

So, the equation of the line is y = 6/5x + 7/5.

Hope this helps!

8 0

2 years ago

A fruit stand has to decide what to charge for their produce. They need $10 for 44 apples and 44 oranges. They also need $15 for

Bess [88]

Step-by-step explanation:

Let x be the price of an apple and y be the price of an orange.

We have been given that a fruit stand need $10 for 4 apples and 4 oranges. We can represent this information as:

$4x+4y=10...(1)$

We are also told that they need $15 for 6 apples and 6 oranges. We can represent this information as:

$6x+6y=15...(2)$

Therefore, our desired system of equations will be:

$4x+4y=10...(1)$

$6x+6y=15...(2)$

4 0

3 years ago

Five Card Draw is one of most basic forms of poker, and it's the kind of poker you're used to seeing in movies and on TV. This g

n200080 [17]

Answer:

1287

Step-by-step explanation:

The number of combinations of 13 diamonds taken 5 at a time is ...

13C5 = 13·12·11·10·9/(5·4·3·2·1) = 13·11·9 = 1287

7 0

3 years ago