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denis23 [38]
3 years ago
10

10) Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell

Mathematics
1 answer:
jonny [76]3 years ago
4 0

Answer:

Tisha is faster than Latrell by 3 miles/hour

Step-by-step explanation:

Given

Latrell= 122\ miles for\ 2\ hours

Tisha = 96\ miles\ for\ 1.5\ hours

Required

Determine how much faster is Tisha than Latrell

First, we need to determine the average speed of both individuals

Speed = \frac{Distance}{Time}

For Latrell:

Speed = \frac{122\ miles}{2\ hours}

Speed = 61\ miles/hour

For Tisha

Speed = \frac{96\ miles}{1.5\ hours}

Speed = 64\ miles/hour

Calculate the difference

Difference = 64\ miles/hour - 61\ miles/hour

Difference = 3\ miles/hour

Hence:

<em>Tisha is faster than Latrell by 3 miles/hour</em>

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Step-by-step explanation:

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The perimeter of a rectangle is 300 feet. The width of the rectangle is 10 feet more than the length. What is the width of the r
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mars1129 [50]

Answer:

1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},

Step-by-step explanation:

1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}

2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}

3. This problem incorporates an exponent property.

Exponent property used: a^b\cdot a^c=a^{(b+c)}, yielding an answer of \boxed{5}

4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}

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3 years ago
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