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tekilochka [14]
3 years ago
14

Eighty students are going on a field trip to a history museum. The total cost includes 2 bus rentals and $10 per student for lun

ch. They daily bus rental is $960 per bus. What is the total cost per student?
Mathematics
2 answers:
rjkz [21]3 years ago
7 0
$34
960*2=1920 (bus rentals)
80*10=800 (lunch)
1920+800=2720 (total cost)
2720/80=34 (cost per student)
ZanzabumX [31]3 years ago
5 0

Answer:

$34

Step-by-step explanation:

Cost of 1 bus = $960

Cost of 2 bus = 960 \times 2 =1920

Cost of lunch per student = $10

Cost of lunch for 80 students = 80 \times 10 = 800

Total cost = 1920+800 = 2720

So, Cost per students = \frac{\text{Total cost}}{\text{Total students}} =\frac{2720}{80}=34

Hence  the total cost per student is $34

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viktelen [127]

Answer:

The quotient when x^3-4x^2-8x+8 is divided by x+2 is x^2-6x+4 with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form (x-a). In this case, we may use synthetic division, since x+2 is equal to x-(-2). I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is x^2-6x+4, and the remainder is zero (which indicates that x+2 is a factor of p(x)).

--

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since x \times x^2 is equal to x^3, the first term in the quotient will be x^2. Since x^2 \times (x+2) is equal to x^3+2x^2, we must now subtract that from x^3-4x^2-8x+8.

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

<em>I know this might be difficult to follow, so please comment if you have any questions.</em>

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Answer:

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Step-by-step explanation:

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