Answer:
Lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.
Step-by-step explanation:
A lady buys total number of trinkets = 20
Cost of each trinket is either $0.30 or $0.65.
Let the number of trinkets is x she purchased for $0.30 and y for $0.65
Then x + y = 20 --------(1)
Since she spends total amount = $8.80
Then the equation will be
0.30x + 0.65y = 8.80 ---------(2)
We replace x = (20 - y) from equation (1) to equation (2)
0.30(20 - y) + 0.65y = 8.80
6 - 0.30y + 0.65y = 8.80
0.35y + 6 = 8.80
0.35y = 8.80 - 6
0.35y = 2.80
y = 
y = 8
Now we put y = 8 in equation (1)
x + 8 = 20
x = 20 - 8
x = 12
Therefore, lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.
Answer:
10%
Step-by-step explanation:
Answer:
20 meters
Step-by-step explanation:
The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.
So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.
The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be
meters from the starting point.
Answer:
{36, 38, 40, 42, 44}
Step-by-step explanation:
You are implying that you are adding up 5 consecutive numbers, and should use the word "add" or the word "sum."
"The sum of 5 consecutive odd numbers is 200" leads to:
x + (x+2) + (x+4) + (x+6) + (x+8) = 200. Note how each number is 2 more than the number preceding it. In this way you can guarantee that all of the 5 numbers are odd.
Summing up, we get 5x + 20 = 200, or 5x = 180.
Dividing both sides by 5, we get x = 36.
Then the 5 consecutive integers are
{36, 38, 40, 42, 44}. These add up to 200.
Unfortunately, these are consecutive EVEN numbers, not odd numbers.
Please ensure that you have copied down this problem correctly.
Answer:
18 red marbles
Step-by-step explanation:
Because the ratio of yellow marbles to red marbles is 1:6 in the population, the expected number of red marbles is 6 times the number of yellow marbles in the representative sample. there should be 18 red marbles.