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svetoff [14.1K]
3 years ago
7

Your friend says that 14.5% is same as the fraction 29/200. explain whether your friend is correct or incorrect by comparing the

two values​
Mathematics
2 answers:
NeX [460]3 years ago
7 0

Answer:

<em>Your friend would be correct. 14.5% divided by 100 is equal to 0.145. When you divide 29/200 you also get 0.145, if you multiply it by 100 you get 14.5%.</em>

OlgaM077 [116]3 years ago
3 0

14.5% = 0.145

Step-by-step explanation:

The term 'percent' (%) actually means per 100. So when you say 14.5% it means 14.5 per 100. So when you put that into an equation it actually means:

So when you solve it, 14.5% is actually 0.145 and not 14.5.

Your friend is then incorrect because:

14.5% ≠ 14.5

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I NEED HELP ASAP!
vladimir2022 [97]

Using a geometric series, it is found that he swims 1897 yards in the first week.

In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.

The general equation of a geometric series is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

The sum of the first n terms is given by:

S_{n} = \frac{a_1(1 - q^n)}{1 - q}

In this problem:

  • 200 yards on the first day, thus a_1 = 200.
  • Each day, the distance increases by 10%, since 100% + 10% = 110% = 1.1, q = 1.1.
  • First week is first 7 days, thus n = 7

Then:

S_{n} = \frac{a_1(1 - q^n)}{1 - q}

S_{7} = \frac{200(1 - 1.1^7)}{1 - 1.1}

S_{7} = 1897

He swims 1897 yards in the first week.

A similar problem is given at brainly.com/question/23711475

8 0
2 years ago
A race car travels 3.6 hours at an average speed of 205.7 miles per hour. How far does the car travel? Include unit of measureme
noname [10]

Answer:

The car traveled 740.52 miles

Step-by-step explanation:

The only thing you need to do in this problem is to multiply the hours by the rate (mph).

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5 0
3 years ago
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nirvana33 [79]

Answer:

tan A = .3429  

Step-by-step explanation:

Tangent = Opposite over Adjacent

The opposite of ∠A = 12 and the adjacent = 35

so tan A = 12/35 which equals .3428571492

The question asks us to round to four decimal places

Hence, the answer is .3429

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Alja [10]
I think its C I am not sure hope it helps 

6 0
3 years ago
Read 2 more answers
Which of the following segments is a diameter of O? <br><br> A. UF <br> B. WM <br> C. WO <br> D. OF
pishuonlain [190]

Answer:

The answer to your question is letter A

Step-by-step explanation:

In the picture, we can observe that

UF is the diameter of the circle. Diameter is a line that reaches from one point on the edge of a circle, through its center, to a point on the opposite side.

WM is a secant or a chord

WO is the radius

OF is also a radius

4 0
3 years ago
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