4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.
Step-by-step explanation:
Number of people hold by small cars = 4
Number of people hold by large cars = 6
Let,
Number of small cars = x
Number of large cars = y
The students rented 4 times as many large cars as small cars,
y = 4x Eqn 1
which altogether can hold 56 people.
4x+6y=56 Eqn 2
4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.
Keywords: linear equations, addition
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Answer:
1680 ways
Step-by-step explanation:
Total number of integers = 10
Number of integers to be selected = 6
Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.
<u>2 ways</u> <u>1 way</u> <u> </u> <u> </u> <u> </u> <u> </u>
Each of the line represent the digit in the integer.
After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840
Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways
Therefore, there are 1680 ways to pick six distinct integers.
Answer:
Step-by-step explanation:
∠A + ∠B = 90° {given they are complementary}
5x+ 15 + 30 = 90
5x + 45 = 90
5x = 90 - 45
5x = 45
x = 45/5
x = 9
Answer:
5050
Step-by-step explanation:
S=n*(n+1) / 2
S=100 * (100+1) /2 = 50 * 101 = 5050
Answer:
0.22
Step-by-step explanation:
The point estimate is simply the middle of the confidence interval.
p = (0.195 + 0.245) / 2
p = 0.22