Let's say x = 16. In the equation 4 + x(3/x) then you use 16 instead of x. So it would look like 4 + 16(16/3). 4 plus 16 times 16 divided by 3.
Let Q= the number of quarters and D= the number of dimes.
Q+D= 40 coins
0.25Q+0.1D= $7.75
Rewrite equation 1 as: D = 40-Q and substitute into equation 2
0.25Q+0.1(40-Q)= 7.75 Simplify the left side
0.25Q+4-0.1Q= 7.75 Subtract 4 from both sides
0.25Q-0.1Q= 3.75 Convime like terms on left side
0.15Q= 7.75 Divide both sides by 0.15
Q=25 and D= 40-Q
D= 40-25 which is 15
So Jenna had 25 quarters and 15 dimes.
<span>To check multiply 25 x 25 and 15x10 which equals 625 and 150 this equals 775 so this is 7.75</span>
1. 13/15
2. 1595.25
3. 462
I hope it helps.
This is your answer x=4, y=2
Answer:
1/5
Step-by-step explanation:
That little weird backwards E covers all the elements within the box in the diagram. There are x(x - 2) paintings from the 20th century, 2x + 8 British paintings, x paintings that are both British and come from the 29th century, and 10 that are neither of these. These should all add up to 60:
x(x - 2) + (2x + 8) + x + 10 = 60
x² - 2x + 3x + 18 = 60
x² + x - 42 = 0
(x + 7)(x - 6) = 0
x = -7 or x = 6
Obviously, we can’t have a negative number of paintings, so x = 6.
Out of the paintings, we choose one that is from the 20th century, and there are:
x + x(x - 2) = 6 + 6 * (6 - 2) = 6 + 24 = 30 paintings from the 20th century
x of these are also British, so since x = 6, the probability we’re looking for is:
6/30 = 1/5
The answer is 1/5.
