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anastassius [24]
3 years ago
6

In an auditorium 1/6 of the students are 5th graders,1/3 are fourth graders, and 1/4 of the remaining students are second grader

s. If there are 96 students in the auditorium , how many second graders are there ?
Mathematics
2 answers:
andreev551 [17]3 years ago
8 0
Fraction of second graders: (1/4)(1-1/6-1/3) = 0.125
Number of second graders: 0.125 x 96 = 12
Svetradugi [14.3K]3 years ago
7 0
1/3=2/6 so 2/6 +1/6=3/6 which =1/2 so 1/4 of 1/2 is 1/8 so 96 divided by 8=12
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Answer: cost of 1 pot of ivy = $12

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Step-by-step explanation:

Step 1

Let rose bushes be represented as r

and pot of ivy be represented as p

such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as

7 r + p = 82----- eqn 1

Rob who spent 74 on 5 rose bushes and 2 pots of ivy can  be expressed as

5r +2 p = 74----- eqn 2

Step 2

Solving

7 r + p = 82----- eqn 1

5r +2 p = 74----- eqn 2

By elimination method Multiply eqn 1 by 5 and eqn 2 by 7

35r+ 5p= 410--- eqn 3

35r+ 14p =518--- eqn 4

Subtracting eqn 4 from eqn 3

9p = 108

p = 108/9

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p = pot of ivy = $12

therefore rose bush  wll be ( from equation 1)

7r+ p= 82

7r=82-12

7r= 70 r= 70/7

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5 0
3 years ago
A point, beginning at (0,0), undergoes the following composition of translation. Write an ordered pair for the points final posi
Fiesta28 [93]

Answer:

(-1,-5)

Step-by-step explanation:

Starting at (0,0), we perform the first translation:

T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.

From there we do the second translation: T<-6,2>

which means: 6 units to the left (in the horizontal direction) which takes us to  "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.

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8 0
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Anyone know how to do this?!!
iren2701 [21]

Answer:

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Step-by-step explanation:

\frac{-4}{12}=\frac{-1}{4}

\frac{-2}{8}= \frac{-1}{4}

and so on...

formula: \frac{x}{y}

hope this helps!!!

6 0
3 years ago
Florence works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 3 ki
Damm [24]

Answer:

50 kg

Step-by-step explanation:

Given that:

SMALL HELICOPTERS:

Weight of small helicopters = 3kg

Weight of shipping container = 20kg

LARGE HELICOPTERS:

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Shipping weight :

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Total shipping weight :

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4 0
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If a line is 10 feet long but needs to be reduced to 80% of its original, how long will the new line be?
motikmotik

Answer:

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Step-by-step explanation:

6 0
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