Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
20% also equals 1/5, right?
So in order to find the total number of turtle nests, just find 5/5, or multiply 15 by 5.
15 x 5 = 75
There were 75 total nests
Answer:
Terrance is incorect.
Correct output coordinates (-y,-x)
Step-by-step explanation:
Let 
be the input coordinates.
First translation is a rotation of 180° clockwise about the origin. This translation has a rule
Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule
When a sequence of two translations are applied to the initial input coordinates, then
As you can see Terrance made a mistake and these two transformations do not cancel themselves out.
We already know that Emma is 12, and if Luke is twice her age, then that means we need to multiply 12 by 2, which equals 24. If Kendra is one half of Luke's age, which is 24, then we must divide 24 by 2, which equals 12.
In conclusion, Kendra is 12 years old.
