Answer: 2 hr.
Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The value of a₅ is -729.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
Given the value of a₁=9 and the value of 
. Therefore, the value of a₅ can be written as,
a₂ = -3(a₁) = -3(9) = -27
a₃ = -3(a₂) = -3(-27) = 81
a₄ = -3(a₃) = -3(81) = -243
a₅ = -3(a₄) = -3(-243) = -729
Hence, the value of a₅ is -729.
Learn more about Geometrical Series:
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The distributive property works like this:
a(b+c) = ab + ac
To split apart bigger numbers, you can change 45 into 40+5. Writing this using the distributive property looks like this:
6(40+5)
Now, like we did above with a, b, and c, you can rewrite it to this:
(6 x 40) + (6 x 5)
So, your answer is B.
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<h3>$22 </h3>
Step-by-step explanation:
<u>You</u> and <u>four</u> friends = 5 people
To see how much one ticket costs we have to divide the total amount spent by the number of people who bought tickets.
Total amount spent: $110
People who bought tickets:5
110÷5=22
Each ticket cost $22
