Answer:
It is 73
Step-by-step explanation:
Hope this helped
Answer:
41. s = semiperimeter
s = (a + b + c) /2
s = (120+170+250) /2
s = 270m
d is the correct option.
42. b is the correct option.
43. P = a + b + c
P = 120+170+250
P = 540m
a is the correct option.
44. A = √s((s-a)(s-b)(s-c))
=√270((270-120)(270-170)(270-250))
=9000m²
d is the correct option.
45. length of wire=P - space for gate
= 540 - 3
=537m
b is the correct option.
given (2x/y)^9* (x/3)^2
Step 1: I first apply the exponent in the left term, which gives the quantity 8x^3/y^3
Step 2: I next apply the exponent in the right term, which gives the quantity x^2/9
Step 3: I combine the two terms from Step 1 and Step 2 and simplify to get a final answer of 8x^6/9y^3
A.
The student incorrectly applies the exponent in Step 1.
B.
The student incorrectly applies the exponent in Step 2.
C.
The student incorrectly combines the results from Steps 1 and 2 in Step 3.
D.
The mathematical work shown is correct.
Answer:
I took the test. the answer is not A it is C. The student incorrectly combines the results from Steps 1 and 2 in Step 3
of the remaining children get off, leaving the bus only half full.
How many children were on the bus at the start?
Answer:
12
Step-by-step explanation:
If there are x children on the bus at the start, after the first stop, there are (x-3) remaining. After two stops, the number on the bus is ...
x/2 = x -3 -(1/3)(x -3)
Multiplying by 6, we have ...
3x = 6x -18 -2(x -3)
3x = 4x -12 . . . . simplify
12 = x . . . . . . . . add 12-3x
There were 12 children on the bus at the start.
_____
Check
After 3 got off at the first stop, there were 12-3 = 9 remaining. 1/3 of those, or 9/3=3 got off at the second stop, so 9 -3 = 6 remained. This is half the original number, as required.
Let X represent the number of children on the bus originally. The equation formed is 2/3*(X - 3) = X/2, and when we solve it, we find that X equals 12 which indicates that there were 12 children on the bus at the start.
Let's denote the number of children on the bus at the start as X. After the first stop, the number of children on the bus became X - 3, because 3 children got off. After the second stop, a third of the remaining children got off, so the number of children on the bus became 2/3*(X - 3). According to the problem, after all the stops, the bus was half full. Therefore, we can set up an equation: 2/3*(X - 3) = X/2.
To solve the equation, we can multiply all terms by 6 to clear out the fractions and obtain the equation: 4*(X - 3) = 3X. This simplifies to 4X - 12 = 3X which simplifies further to X = 12, meaning there were initially 12 children on the bus.
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