Hey there!
To start, first subtract 45 from 60 to find the amount of money taken off from the discount:
60-45
=15
Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:
15/60=x/100
Now, cross multiply and solve for x:
1500=60x
x=25
Therefore, your discount would be 25%.
Hope this helps and have a marvelous day! :)
<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5
1/5x+3y/2=2 => (1/5)x + (3/2)y = 2
Eliminate the fractional coefficients: Mult. the first equation by 4 and mult. the second equation by 10:
2x + 15y = 20
</span><span>Multiply the 1st equation by -1:
-</span>2x - 3y = -20
2x + 15y = 20
-------------------
12y = 0, so y = 0. Then the first equation becomes 2x + 3(0) = 20, or
x=10.
Solution is (10,0).
Answer:
Event A = white marble is selected
Event B = blue marble is selected
P(A) = 5/10 = 1/2
p(B) = 5/10 = 1/2
Probability that A and B are independent events is:
P(A∩B) = 1/2 × 1/2
Answer: 1/4
Answer:
The composite figure is made up of a rectangular prism and square pyramid
Step-by-step explanation:
The figure on top is square pyramid since the base is a square and the 4 sides are triangles. The bottom is a rectangular prism since the figure is made up of side rectangular faces