Answer:
$18.97
Step-by-step explanation:
Add $7.49, $8.29, and $1.79 together= $17.57.
Then, add the 8% tax. So $17.57+8% of tax= $18.97.
Answer:
$8.80
Step-by-step explanation:
In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:
1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.
2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.
If you don't understand how the second way works or your teacher taught you #1, just do it the first way.
Answer:
- The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.
Explanation:
By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.
You can check that analitically
Departing from the triangle: XYZ
- <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)
- Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
- Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
- Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)
- <u>Translation 1 unit down</u>: (x,y) → (x, y-1)
- (-11,2) → (-11, 2 - 1) = (-11, 1)
- (-9,7) → (-9, 7 - 1) = (-9, 6)
- (-7, 2) → (-7, 2 - 1) = (-7, 1)
- <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)
- (-11, 1) → (-11, -1), which are the coordinates of vertex X"
- (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
- (-7, 1) → (-7, -1), which are the coordinates of vertex Z"
Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
Answer:
y = 28x
Step-by-step explanation:
To find the answer, we need to divide the number of bushels by the number of acres. If the quotient is the same for all three divisions, then the quotient is how many times x is multiplied to get y.
140 / 5 = 28
224 / 8 = 28
420 / 15 = 28
Therefore, y = 28x is our answer.
Answer: Juan walks 3 miles in 1 hour.
Step-by-step explanation:
3 mi/ 1 hr is the unit rate because you are supposed to turn it into a fraction and simplify it.
