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earnstyle [38]
3 years ago
5

What’s the correct answer for this question?

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

The second option.

Basically, you can use SAS.

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Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio
maxonik [38]

Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions +  number of essay questions

Or, m + e = 26         .....A

Again

Total points for the 26 questions =  point for each multiple choice questions  ×  number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123          .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m -  3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴  m = \dfrac{85}{5}

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

∵ m + e = 26

Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

7 0
3 years ago
Peter is writing a number in scientific notation.The number is grater that ten million and less that one hundred million.Which e
OLga [1]

Answer:

M  =  a \times 10^7  where 1 < a ≤ 9

The EXPONENT USED BY PETER is 7 in all the possible cases.

Step-by-step explanation:

Let us assume the needed number is M.

Also, given:

The needed number is GREATER than 10 Million.

⇒ M  > 10 Million

⇒ M > 10,000,000

⇒ M > 1 \times 10^7  ...... (1)

The needed number is SMALLER than 100 Million.

⇒ M  <  100 Million

⇒ M < 100,000,000

⇒ M  <  1 \times 10^8  ...... (2)

Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.

So, the possible values of M can be:

M  =  a \times 10^7  where 1 < a ≤ 9

So, the EXPONENT USED BY PETER is 7 in all the possible cases.

5 0
3 years ago
Factor the algebraic expression<br><br> 18a + 15=
Feliz [49]

18a+15

making a subject of formular

a=18-15

=3

4 0
2 years ago
Amir can run 15 kilometers in one hour. how many kilometers can amir run per minute? there are 60 minutes in 1 hour.
agasfer [191]
Amir can run 0.25 kilometers per minute.
4 0
2 years ago
Read 2 more answers
Write five expressions that are equivalent to 20x+100
Phoenix [80]
4(5x+25)
5(4x+20)
10(2x+10)
2(10x+50)
20(x+5)

hope this helps
4 0
3 years ago
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