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Nataly [62]
2 years ago
7

Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.

Mathematics
1 answer:
Sophie [7]2 years ago
7 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Amount Noah borrowed from his mother = $17

Amount paid = $8

Change in the amount of money Noah's mother has :

Let initial amount her mother has = x

Hence, the amount she has after Noah paid $8 to her will be :

Initial amount - amount borrowed + amount paid

= x - $17 + $8.

The simplified amount = x - $9

The amount Noah still owes :

Total amount owed - amount paid

$17 - $8 = $9

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lesya692 [45]

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

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2 years ago
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2 years ago
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Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The
abruzzese [7]

The question is incorrect.

The correct question is:

Three TAs are grading a final exam.

There are a total of 60 exams to grade.

(c) Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The TAs grade at different rates, so the first TA will grade 25 exams, the second TA will grade 20 exams and the third TA will grade 15 exams. How many ways are there to distribute the exams?

Answer: 60!/(25!20!15!)

Step-by-step explanation:

The number of ways of arranging n unlike objects in a line is n! that is ‘n factorial’

n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1

The number of ways of arranging n objects where p of one type are alike, q of a second type are alike, r of a third type are alike is given as:

n!/p! q! r!

Therefore,

The answer is 60!/25!20!15!

6 0
2 years ago
Tom supports North Storm Football Club. At the match between North Storm and West Stanford there were 71,167 spectators. If 41,1
dangina [55]
Answer:
30,058 spectator

Explanation:
The total number of spectators is equal to the sum of West Stanford's and North Storm's supporters.
We are given that:
Total number of spectators = <span>71,167 spectator
North Storm spectators = </span><span>41,109 spectator
So, to get the number of West Stanford spectators, all we have to do is subtract North Storm spectators from the total spectators as follows:
West Stanford spectators = </span>71,167 - 41,109 = 30,058 spectator

Hope this helps :)
8 0
2 years ago
Select all the pairs that could be reasonable approximations for the diameter and circumference of a cirlce 5 meters and 22 mete
bazaltina [42]

Answer:

Option a) circle 5 meters and 22 meters

Step-by-step explanation:

We are given the following information in the question:

A pair of diameter and the circumference is given. We have to find a correct approximations for the diameter and circumference.

a) circle 5 meters and 22 meters

\text{Diameter} = 5\text{ meters}\\\text{Circumference} = \pi d = 3.14\times 5 = 15.7\text{ meters}

b) 19 inches and 50 inches

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c) 33 centimeters and 80 centimeters

\text{Diameter} = 33\text{ centimeters}\\\text{Circumference} = \pi d = 3.14\times 33 =103.62\text{ centimeters}

Thus, no pair gives a reasonable approximation. Only the circle with diameter 5 and circumference 22 meters have closest approximation.

6 0
2 years ago
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