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viktelen [127]
3 years ago
7

***Please show all work and give explanation*** I'm in algebra 2 and we are working with matrices. So that would be the preferre

d way to go about solving this problem.
At a particular swim meet, 10 points were awarded for each first-place finish, 8 points for second, and 7 points for third.

Washington High School had 10 first place finishes, 6 second place finishes and 2 third place finishes.
Johnson High School had 8 first place finishes, 9 second place finishes and 1 third place finish.

Roosevelt High School had 4 first place finishes, 5 second place finishes and 4 third place finishes.

Lewis High School had 3 first place finishes, 3 second place finishes and 6 third place finishes.

Find the total number of points for each school. Which school won the meet? Which school came in second and what was the difference?
Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

<em>The Washington High School won the meet by scoring 162 points </em>

<em>The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.</em>

Step-by-step explanation:

<u>Arithmetics </u>

We need to perform a number of basic arithmetics operations and derive conclusions out of the results.

We know that

  • 10 points are awarded for each first-place finish
  • 8  points are awarded for each second-place finish
  • 7  points are awarded for each third-place finish

* Washington High School had 10 first-place finishes, 6 second-place finishes, and 2 third-place finishes.  

Total points: 10*10+6*8+2*7=162 total points

* Johnson High School had 8 first-place finishes, 9 second-place finishes, and 1 third-place finish.

Total points: 8*10+9*8+1*7=159 total points

* Roosevelt High School had 4 first-place finishes, 5 second-place finishes, and 4 third-place finishes.

Total points: 4*10+5*8+4*7=108 total points

* Lewis High School had 3 first-place finishes, 3 second-place finishes, and 6 third-place finishes.

Total points: 3*10+3*8+6*7=96 total points

The Washington High School won the meet by scoring 162 points

The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.

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lys-0071 [83]
There are m any examples of equations that equal 31. Here are a few:
17 + 14
30 + 1
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I like this one though (its 2 step)

(15 x 2) + 1

Hope this helped :)
7 0
3 years ago
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The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they
satela [25.4K]

Answer:

Total cost= $86.25

Step-by-step explanation:

Giving the following information:

Discount= 10%

Nill= $82.5

Tip= 15%

<u>First, we need to calculate the discounted price:</u>

Discount price= 82.5 / 1.1= $75

<u>Now, the tip:</u>

Tip= 75*0.15= $11.25

<u>Finally, the total cost:</u>

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Total cost= $86.25

3 0
3 years ago
The answer ASAP I don’t understand this at all
RSB [31]

Answer:

T = 530N + 250

Step-by-step explanation:

For the first plan, Heather will deposit $250 and then save $135 per month.

So, that is 250 + (135 x N) where N is the number of months she saves the $135.

So if it is for 3months,

We will have:

t¹ = 135N + 250

= 250 + (135 x 3)

= 250 + 405

= $655

For the second plan, there is no initial deposit, but she will save $395 per month.

That is 395 x N

t² = 395N

For 3months, we have 395 x 3 = $1185

Therefore the total for both plans in 3months = 655 + 1185 = $1840

Equation relating T to N

T = t¹ + t²

T = (135N + 250) + 395N

T = 135N + 250 + 395N

T = 530N + 250

5 0
3 years ago
Solve for x 14 -2x = \frac{3 + x}{2}
Stels [109]
I think x = 2 is the answer
6 0
3 years ago
Aya = a1 + (n - 1)d
Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

a_{26}=67

Hence, option A is true.

Step-by-step explanation:

Given

  • a₁ = -33
  • d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

substituting a₁ = -33 and d = 4 in the nth term of the sequence

a_n=-33+\left(n-1\right)4

\:a_n=-33+4n-4

a_n=4n-37

Thus, the nth term of the sequence is:

a_n=4n-37

now substituting n = 26 in the nth term to determine the 26th term of the sequence

a_n=4n-37

a_{26}=4\left(26\right)-37

a_{26}=104-37

a_{26}=67

Therefore, the 26th term of an arithmetic sequence is:

a_{26}=67

Hence, option A is true.

7 0
2 years ago
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