Mario has a unit rate of 900 miles/hour.
Explanation:
It is given that Mario travels at a rate of 2/3 miles every 10 minutes.
We use the relation between speed, time, and distance, described by
We have,
Distance = 
Time = 10 minutes
By substituting these values into the preceding formula, we get
![\text{Speed} = \frac{2/3}{10}\\\\ \text{Speed} =\frac{2}{10\cdot 3}\\\\ \text{Speed} =[tex]\frac{1}{15}](https://tex.z-dn.net/?f=%5Ctext%7BSpeed%7D%20%3D%20%5Cfrac%7B2%2F3%7D%7B10%7D%5C%5C%5C%5C%20%5Ctext%7BSpeed%7D%20%3D%5Cfrac%7B2%7D%7B10%5Ccdot%203%7D%5C%5C%5C%5C%20%5Ctext%7BSpeed%7D%20%3D%5Btex%5D%5Cfrac%7B1%7D%7B15%7D)
\text{ miles/min}[/tex]
To express the unit rate in miles per hour, we must multiply by 60.
Thus, the resulting unit rate is
To solve this problem, you'll want to substitute the first equation into the second or the other way around. The equations given are: 1. 3 paperback books + 5 hardcover books = $80.10; 2. 7 paperback books + 4 hardcover books = $100.65. It is helpful to rearrange the first equation to find 5 hardcover books = $80.10 - 3 paperback books, leading to hardcover book = $16.02 - 0.6 paperback books. Now, substitute this into the second equation: 7 paperback books + 4 ($16.02 - 0.6 paperback books) = $100.65, which simplifies to 7 paperback books + $64.08 - 2.4 paperback books = $100.65. This results in 4.6 paperback books = $100.65 - $64.08 = $36.57, thus paperback book = $7.95. You can then use this price in the first equation to determine the hardcover book price: 3 paperback books + 5 hardcover books = $80.10, substituting gives 3($7.95) + 5 hardcover books = $80.10, which leads to 5 hardcover books = $80.10 - $23.85 = $56.25, therefore hardcover book = $11.25. Hence, the total cost for one paperback and one hardcover book is $7.95 + $11.25 = $19.20.
To tackle this problem, we first need to ascertain the commission taken by the pizza shop and how much money belongs to Mindy. We know that Mindy sells her artwork for $15, and the pizza shop retains a 15% commission. Therefore, the commission is calculated as (15/100) * 15, which equals 2.25 dollars. This means the pizza shop deducts $2.25 from each art sale made by Mindy. Consequently, the amount Mindy receives is (15 - 2.25), resulting in $12.75. Since Mindy opts not for cash but instead chooses a pizza valued at $12, including a 5% sales tax, it seems she benefits by $0.75 plus the pizza worth $12. Therefore, this arrangement appears fair for Mindy. Meanwhile, the pizza shop also makes an additional $2.25 from this transaction, making it equitable for both Mindy and the shop owner.
Let x = 6.2
Define y as half of x: y = 0.5x
Calculate y: y = 0.5 × 6.2 = 3.1
Calculate z by subtracting x and y from 14.5: z = 14.5 - 6.2 - 3.1 = 5.2
Each variable corresponds to a triangle side
To solve the equation 3x^2-4x=0 graphically, Amber will begin by plotting the graph of y=4x, and the x-coordinate points where the graphs intersect will provide the solutions.
