In this question, we are required to find the total amount he paid to buy the shirt.
It is given that sales tax is 5.5 % over the amount paid.
The cost price of the shirt = $ 24.
The total amount will be = Cost price + 5.5 % of Cost price
Or
Total amount paid = $ 24 × 1.055 (i.e. 100 % + 5.5 %)
Total amount = $ 24 + (5.5 % × $ 24)
Total amount paid = $ 24 + $ 1.32 = $ 25.32
You are right: the graph does not represent a proportion, because it does not go thru the origin.
The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
Answer:
Incorrect.
Step-by-step explanation:
Let, the first number is x, and the second number is y. Given, the second number is 125% of the first number. So, the equation will be
y = 1.25 x
Or, y= 5/4x
Now, multiplying it with 4/5, we get, x= 4/5y
Or, x= 0.80 y
But, Brad is saying the first number must be 75% of the second number. But here we see that the first number is 80% of the second number. That's why Brad is incorrect.
Answer:
a) 6 ways
b) 6 ways
Step-by-step explanation:
a) for all of the letters
for the first letter, we have 3 options
for the second, we have 2 options
for the third, we have 1 option
So the number of options will be;
3 * 2 * 1 = 6
b) for the first, we have 3 options, for the second, we have 2 options
so the number of options will be 3 * 2 = 6 options
