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Sever21 [200]
3 years ago
7

A person walks 2 3 of a mile in 2 9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per ho

ur?
Mathematics
2 answers:
hodyreva [135]3 years ago
5 0

Answer:

3 mi/hr

Step-by-step explanation:

The rate of miles per hour refers to the speed, which is calculated with:

s=\frac{d}{t}

Where:

d=\frac{2}{3}mi

t=\frac{2}{9}hour

Replacing all values, we have:

s=\frac{\frac{2}{3}mi}{\frac{2}{9}hour}=\frac{18}{6} mi/hour\\s=3 mi/hr

<h3>Therefore, the ratio is</h3>

3 mi/hr

GaryK [48]3 years ago
3 0
2/3  /  2/9
= 2/3 * 9/2
=18/6
=3

rate = 3 miles per hour
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Log(x-2)+log2=2logy<br>log(x-3y+3)=0​
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Answer:

<h2>x = 4 and y = 2 or x = 10 and y = 4</h2>

Step-by-step explanation:

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\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac

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\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D

4 0
3 years ago
Which graph best represents the function f(x)=2x ?
yan [13]

Answer:

B

Step-by-step explanation:

The best - well, only way- is to check a few points.

Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

f(x) = 2^x\\f(-1) = 2^-^1 = \frac12\\f(0) =2^0 =1\\f(1)= 2^1=2\\f(2)=2^2=4\\f(3)=2^3= 8

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.

A represents 2(2^x) = 2^{x+1}, B is the one you want, C is \frac{2^x}2 = 2^{x-1} and D looks like 4^x = 2^2^x

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2 years ago
A triangle with three acute angles
kotegsom [21]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance it covers? i'll give brainliest to w
luda_lava [24]

we know that

1 ft--------> is equals to 12 in

the ramp is 12 inches tall----------> 1 ft tall

A ramp measures------------------>  6 ft long

applying the Pythagorean theorem

c²=a²+b²

where

c-----> 6 ft long

a----> horizontal distance

b-----> 1 ft tall

a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft

the answer is

5.92 ft

6 0
2 years ago
Read 2 more answers
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