Answer: m/4
Step-by-step explanation:
M represents the number of children so you would divide them into 4 groups
Answer:
Step-by-step explanation:
8 and 47
The question involves finding unknowns from a system of linear equations. By assigning 'x' as the smaller number and 'y' as the larger number, we establish two equations based on the provided information. Solving these equations, we find the smaller number to be 8 and the larger number to be 47.
This question involves the system of linear equations in Mathematics. To find the two numbers, establish two equations based on the information given. Let's denote the smaller number as 'x' and the larger one as 'y'.
1. The larger of two numbers is 7 more than 5 times the other, which translates into the equation:
2. Their sum is 55, which gives us the second equation: x + y = 55.
Substitute the first equation into the second, we get: Simplifying it gives us , further simplifying leads to 6x = 48, thus x = 8. Substituting x = 8 into we get y = 47. So, the smaller number is 8 and the larger number is 47.
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Answer:
Step-by-step explanation:
Part A
The common difference is -2 as the sequence decreases down to 2 each. Thus, the sequence is an arithmetic sequence. To find the nth term of an arithmetic sequence, we can follow the formula:
Where is the nth term, is the first term, and is the common difference which we know that it is -2. By substitution of values we know, we will have:
Hence, the nth term of the sequence is
Part B
The common difference is -5 as the sequence decreases by 5 each. This also makes the sequence an arithmetic sequence. Thus, we can apply the same formula as we did previously. By substitution of known values, we will have:
Hence, the nth term of the sequence is
Answer:
60 miles per hour
Step-by-step explanation:
There are 60 minutes in one hour. Understanding this will allow us to solve the problem.
If a car travels 15 miles in 15 minutes, then we need to calculate how many miles they traveled in one hour or 60 minutes. 15 goes into 60, 4 times (60/15 = 4).
We can set up the proportion like this:
15 miles x miles
________ = __________
15 minutes 60 minutes
To find x, we just multiply 15 miles by the same amount as we did for 15 minutes, 4. 15 * 4 = 60, so the car is traveling 60 miles per hour.
The question is about calculating speed in Mathematics. Given that a car travels 15 miles in 15 minutes, converting 15 minutes to 0.25 hours, we can determine the speed by dividing distance by time. Thus, the car travels at a speed of 60 miles per hour.
The subject of this question is Mathematics, specifically focused on the concept of speed calculations. We are asked to calculate the speed of a car in miles per hour (mph), given that it traveled 15 miles in 15 minutes.
The formula to calculate speed is distance divided by time. However, we need to ensure that both measurements are in the same units. In this case, time is given in minutes but we need the speed in miles per hour (mph), so we'll need to convert minutes to hours.
As there are 60 minutes in an hour, the time of 15 minutes becomes 15 / 60 = 0.25 hours. Thus, the speed of the car is calculated as 15 miles / 0.25 hours = 60 mph.
So, a car that travels 15 miles in 15 minutes is traveling at a speed of 60 miles per hour.
Learn more about Calculating Speed
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f(x) = 3x2 + 6x + 7 Function 2:
x g(x)
−2 13
−1 7
0 3
1 7
Which function has the least minimum value and what are its coordinates?
Function 1 has the least minimum value and its coordinates are (−1, 4).
Function 1 has the least minimum value and its coordinates are (0, 7).
Function 2 has the least minimum value and its coordinates are (−1, 7).
Function 2 has the least minimum value and its coordinates are (0, 3).
Answer:
function b has the least minumum and it is (0,3) I just took the test
Step-by-step explanation: