Answer:
A minimum of 16 rows are needed
Step-by-step explanation:
Here, we want to calculate the number of rows minimum that could seat 382 people in rows of 24 seats.
Mathematically, what we need to do here is to make a division.
We shall divide the number of people by the number of seats in a row so that we can get the number of rows needed.
Mathematically, that would be; 382/24 = 15 22/24
We are looking at a minimum number.
So we can see that 15 rows will be filled, with an extra 22 seats in the next row leaving only 2 seats in the next row unoccupied.
So we can see that the minimum number of rows required is 16 rows
Answer:
(15, 12)
Step-by-step explanation:
Let's generate two systems of equations that fit this scenario.
Number of trips to the airport = x
Number of trips from the airport = y
Total number of trips to and from the airport = 27
Thus:
=> equation 1.
Total price for trips to the Airport = 14*x = 14x
Total price of trips from the airport = 7*y = 7y
Total collected for the day = $294
Thus:
=> equation 2.
Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.
7 ×
1 ×
Thus:
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
-7x = -105
Divide both sides by -7
x = 15
Substitute x = 15 in equation 1
Subtract both sides by 15
The ordered pair would be (15, 12)
First, find the GCF. For these two numbers, it is 36. (Because 36 times 1 is 36 and 36 times 2 is 72)
Divide both sides by this, which gives you a
2:1 ratio
They are algebraic symbols or known as unknown number. There is no true value for them. The value of algebraic symbols are based on equations
ie. 1+x = 2
First, we isolate the x by canceling the +1 FROM BOTH SIDES(Balance method) by -1 ON BOTH SIDES.
1+x-1 = 2-1
So we are left with the x on the left side, and a single number on the right side. Therefore, our calculation is complete.
x = 1
More complex cases would be
2y-3 = 45
First, we need to isolate the algebraic symbol, which is 2y (yx2) by +3 ON BOTH SIDES
2y-3+3 = 45+3
2y = 48
WE ARE NOT DONE! 2y=48 is still an equation. Therefore, to isolate the y, we need to divide BOTH SIDES by 2
2y/2 = 48/2
y = 24
There is no true or absolute or definite value for algebraic symbols like x,y,z,a,c,t,h,d etc. They are used to represent unknown numbers.
Hope this helped!
Answer:
x = 42.9 m
Step-by-step explanation:
Corresponding sides of similar triangles MAB and MNP are proportional. This means ...
x/MP = MA/MN
However, we don't have a number for MA yet, so we need to find it.
MA +AN = MN
MA = MN - AN subtract AN
MA = 67.2 m - 32 m = 35.2 m
Now, we can use this to find x.
x = MP · (MA/MN) = (81.9 m) · 35.2/67.2
x = 42.9 m
