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Elanso [62]
3 years ago
7

An instructor has graded 23 exam papers submitted by students in a class of 24 students, and the average so far is 75. (The maxi

mum possible score is 100.) How high would the score on the last paper have to be to raise the class average by 1 point
Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer: The last paper has to be 99 over 100 to move the class average by 1 point

Step-by-step explanation:

total points on the 23 exams: 23*75 = 1725

-----

For 24 papers to average 76 points you need 24*76= 1824

---

Score on the final paper would have to be (1824-1725) = 99

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Kitty [74]
Our equation is:
18x + 12y = 216

if Daisy calls in sick that day that means that that day she attained y=0 customers. now we need to solve for x.

18x = 216
x = 12

Answer is 12.
3 0
3 years ago
Seth’s bank charges $5 a month to maintain a checking account and $0.50 for each check Seth writes. last month, Seth paid a tota
avanturin [10]

Answer:

C) 3

Step-by-step explanation:

Because she paid 6.50, you subtract that by 5 and it will get you 1.50 and then you divide that by .50 and it gets you your answer.

4 0
2 years ago
Simplify:9-1÷2÷27^2÷3​
sammy [17]

<u>First let's calculate the exponents.</u>

27^2 : 729 = 9-1\div \:2\div \:729\div \:3

<u>Now we should multiply and divide.</u>

<u />1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}<u />

<u>Now we should add and subtract.</u>

<u />9-\frac{1}{4374} :\frac{39365}{4374} =  \frac{39365}{4374}<u />

<u>Convert the improper fractions into mixed numbers.</u>

<u />8\frac{4373}{4374}<u />

<u />

<u>Answer : </u>

<u />8\frac{4373}{4374}<u />

<u />

5 0
3 years ago
Determine what the value is to complete the square<br><br><img src="https://tex.z-dn.net/?f=%20%7B%20x%20%7D%5E%7B2%7D%20%20%2B%
prisoha [69]

I'm not entirely sure what you're looking for, but here are your options. If you need a perfect square, I'd go for the 12 and 12, but I hope this helps?

8 0
3 years ago
Help im behind my math class. pls
maks197457 [2]

Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

  • ∠1  & ∠5
  • ∠2 & ∠4
  • ∠2 & ∠7
  • ∠3 & ∠6

We know that alternating interior angles formed by a transversal line are congruent.

Thus,

  • ∠1  = ∠5
  • ∠2 = ∠4
  • ∠2 = ∠7
  • ∠3 = ∠6

Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

As

∠1  = ∠5

So

3x + 42 =  8x - 8

flipe the equation

8x - 8 = 3x + 42

subtract 3x from both sides

8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

add 8 to both sides

5x - 8 + 8 = 42 + 8

5x = 50

divide both sides by 5

5x/5 = 50/5

x = 10.0000 (Rounded to four decimal places)

Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

Thus,

The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

subtract 12 from both sides

12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

Thus,

∠2 = ∠7

As ∠7 = 168°.

Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°

7 0
3 years ago
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