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garri49 [273]
2 years ago
14

Tom went on a bike ride to the store 3 miles away. If it took Tom 12 of an hour to get there and 23 of an hour to get back, what

was his average rate of speed (miles per hour) for the entire trip? (Hint: To find the average, divide the total distance by the total duration.)
Mathematics
1 answer:
RSB [31]2 years ago
5 0

Answer:

5.14mph

Step-by-step explanation:

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I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t
belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

4 0
1 year ago
Which of the following represents a geometric sequence? I 1/4, 1/4, 1/4, 1/4 II 1/4, 1/5, 1/6 III 1/4, 1, -4, 1/6 IV 1/4, -4, 1/
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I'm pretty sure it would be none of these because1/4*5=1 and 1/4 then it would be 6 and 1/4 then it would be 31 and 1/4
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3 years ago
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Answer:

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Liner means there is a straight line of the function.

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Answer:

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Softa [21]

Answer:

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The temperature is predicted to be ...

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__

To find the change, multiply the rate of change by the time period. To find the new temperature, add the change to the starting temperature.

8 0
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