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Oksana_A [137]
3 years ago
14

Correct answers only please!

Mathematics
2 answers:
irina1246 [14]3 years ago
8 0

Answer:

  C. 67 mph

Step-by-step explanation:

The speedometer reports speed based on the number of revolutions the tire makes in a given time period. If the motorcycle travels 28/25 times as far on each revolution, its speed is 28/25 times as great.

  (28/25)(60 mph) = 67.2 mph ≈ 67 mph

_____

The distance traveled is proportional to the circumference of the tire, which is proportional to the diameter. Hence, actual speed for a given speedometer reading is proportional to the diameter of the tire.

skad [1K]3 years ago
8 0

Answer:

C. 67 mph

Step-by-step explanation:

∵ The ratio of speed of motorcycle and the circumference of the tyre is constant for a motorcycle,

If x be the speed ( in mph ) of a motorcycle having the tyre of diameter 28 inches,

⇒ The ratio of speed and circumference = \frac{x}{2\pi (14)}

( Because radius = Diameter / 2 ),

While, the speed of the same motorcycle having the tyre of diameter 25 inches is 60 mph,

⇒ The ratio of speed and circumference = \frac{60}{2\pi (12.5)}

By the above statement,

\frac{x}{2\pi (14)}=\frac{60}{2\pi (12.5)}

\implies x=\frac{60\times 14}{12.5}=\frac{336}{5}=67.2\approx 67

So, the actual speed of the motorcycle after changing the tyre is 67 mph ( approx )

Hence, option 'C' is correct.

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Blababa [14]
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3 years ago
Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how
svet-max [94.6K]
4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
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I don't see any rounding necessary in this case. 

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2    -5

2      7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right. 

I hope this makes sense to you.
8 0
3 years ago
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Alex17521 [72]

Answer:

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3 years ago
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klasskru [66]

9514 1404 393

Answer:

  $503.85

Step-by-step explanation:

The amortization formula can help with this.

  A = P(r/12)/(1 -(1 +r/12)^(-n))

where P is the loan value, A is the monthly payment, r is the annual interest rate, and n is the number of monthly payments.

We want to find P. All of the other values are given.

  P = A(1 -(1 +r/12)^-n)/(r/12)

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  P ≈ 503.85

The equivalent cash price is about $503.85.

7 0
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Which is a simplified form of the expression -(z + 1) + 2(z – 2)?
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