Answer:
x = 911.25
Step-by-step explanation:
let the number be x
by putting the word problem in equation, we get :
- 80/100 × x = 135/100 ×540
- 4/5 × x = 135/10 × 54
- x = 135/10 × 54 × 5/4
- x = 911.25
Answer:
1/5 or 20%
Step-by-step explanation:
The total number of paintings is 60.
60 = x (x − 2) + x + 2x + 8 + 10
60 = x² − 2x + x + 2x + 18
0 = x² + x − 42
0 = (x + 7) (x − 6)
x = -7 or 6
Since x can't be negative, x = 6. So the number of paintings from the 20th century is 6 (6 − 2) + 6 = 30.
The number of paintings that are both British and from the 20th century is 6.
So the probability that a painting from the 20th century is also British is 6/30 = 1/5, or 20%.
Answer:
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Answer:
(3, 5)
Step-by-step explanation:
y = 2x - 1
3x + 2y = 19
In the second equation, substitute 2x - 1 in for y, since y equals 2x - 1 in the first equation. Solve for x.
3x + 2(2x - 1) = 19
3x + 4x - 2 = 19
7x - 2 = 19
7x - 2 + 2 = 19 + 2
7x = 21
7x/7 = 21/7
x = 3
Pick the first equation to solve for y since it says y =. Substitute 3 in for x.
y = 2x - 1
y = 2(3) - 1
y = 6 - 1
y = 5
Answer:
390625
Step-by-step explanation:
The questions are all independent -- the answer on one question does not limit the number of possible answers on another question.
The quiz has 5 choices for each question, so there are
ways to answer the quiz questions.
Notice that this could be written
. You could say that the number of ways to answer the questions is
![number \, of \, choices^{number \, of \, questions}](https://tex.z-dn.net/?f=number%20%5C%2C%20of%20%5C%2C%20choices%5E%7Bnumber%20%5C%2C%20of%20%5C%2C%20questions%7D)
Use a calculator to find ![5^8](https://tex.z-dn.net/?f=5%5E8)