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Damm [24]
3 years ago
7

Which of the following describes a situation in which the total distance a car travels is 0 meters from its starting point?

Mathematics
2 answers:
Sedbober [7]3 years ago
7 0
The car first travels a distance of 9 meters and then travels 9 meters in the opposite direction
katrin2010 [14]3 years ago
4 0
Last one.....car travels 9 meters and then travels 9 meters in opposite direction
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Ritchie got a job at the movie theater. On the first day, he sold 5 adult tickets and 7 children tickets for a total of 104. On
g100num [7]

Answer:

  • adult: $11
  • children: $7

Step-by-step explanation:

The sales on the two days can be expressed using equations that can be solved for ticket prices.

<h3>Setup</h3>

Let x and y represent the prices of adult and children's tickets, respectively. Then the sales revenue for the two days can be expressed in the equations ...

  • 5x +7y = 104
  • 7x +3y = 98

<h3>Solution</h3>

One of the easiest solution methods is to use a graphing calculator. The first attachment shows the prices are $11 for an adult ticket; $7 for children tickets.

Using the matrix functions of a calculator, the augmented matrix of the equation coefficients can be reduced to row-echelon form. This, too, shows the solution to be (adult price, children price) = ($11, $7). See the second attachment. (The solution is the right-most column of the reduced matrix.)

Yet another solution method can use the coefficients from the equations written in general form:

  • 5x +7y -104 = 0
  • 7x +3y -98 = 0

In this form, we define three products of "cross multiplication":

  Δ1 = (5)(3) -(7)(7) = -34

  Δ2 = (7)(-98) -(3)(-104) = -374

  Δ3 = (-104)(7) -(-98)(5) = -238

Using those, we find the variable values to be ...

  x = Δ2/Δ1 = -374/-34 = 11

  y = Δ3/Δ1 = -238/-34 = 7

(adult price, children price) = ($11, $7)

__

You can read more about the cross-multiplication method here:

brainly.com/question/26397343

6 0
1 year ago
Read 2 more answers
Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error
alukav5142 [94]

Answer:

Egg

Step-by-step explanation:

Fg

6 0
3 years ago
Determine whether the series is convergent or divergent.
elixir [45]

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

Σbn converges then, Σan converge

Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

5 0
3 years ago
If p(x) = x 2 + 7x + 3 is divided by x + 4, the remainder is ?
kow [346]
I hope this helps you

3 0
3 years ago
One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles you have r
Ivenika [448]

Answer:

3.50 divided by 5=70 70 times five is 3.50

Step-by-step explanation:

6 0
2 years ago
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