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Airida [17]
3 years ago
15

Rich took a train to visit his aunt. The train traveled at an average speed of 60 mph. The trip took 45 minutes. How far was the

distance traveled?
Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0
The answers is 45 miles. Because there are 60 minutes in an hour and it’s going 60 mph so they’re going a mile per minuteAnd they traveled for 45 minutes so it would be 45 miles
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Tito bought a baseball card for $24.00 and sold it for $37.00. what is the percent of increase rounded to the nearest tenth?
ladessa [460]

Answer: Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Cost price of a baseball card = $24

Selling price of a baseball card = $37

So, Profit would be

37-24=\$13

So, Profit % would be

\dfrac{13}{24}\times 100\\\\=54.16\%\\\\\approx 54.2\%

Hence, Option 'b' is correct.

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3 years ago
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Hello, help me please)
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Answer:

Given equation:

10^{5x-2}=2^{8x-3}

Take natural logs of both sides:

\implies \ln 10^{5x-2}= \ln 2^{8x-3}

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Expand brackets:

\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2

Collect like terms:

\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2

Factor left sides:

\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2

\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax

\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3

\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay

\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)

Simplify:

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\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}

\implies x=0.4232297737...

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The closest answer I got was D. Add 4,585.92+3,278, because he initial deposited the money into the bank.

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Which graph does NOT represent a function?
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