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allochka39001 [22]
3 years ago
10

Translate the following sentence into an algebraic equation: 3 times "r" less than

Mathematics
1 answer:
victus00 [196]3 years ago
5 0

Answer:

 

Step-by-step explanation:

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if three pipes are all opened, they can fill an empty swimming pool in 3 hours. THe largest pipe alone takes one third the time
iogann1982 [59]

Answer: It will take the largest pipe 5.5 hours to fill the swimming pool alone.

It will take the smallest pipe 16.5 hrs to fill the swimming pool alone.

It will take the other pipe 11 hours to fill the pool alone.

Step-by-step explanation: let time needed to fill the swimming pool by the largest pipe be x ... eq (1)

Let time needed to fill the swimming pool by the smallest pipe be 3x ... eq(2)

Let time needed to fill the swimming pool by the other pipe be 2x ...eq(3)

The job to be done (to fill a swimming pool) be 3/x +3/3x+3/2x=1 ... eq(4)

Multiply 6x on both sides you will get:

6(3)+2(3)+3(3)=6x

18+6+9=6x

33=6x

33/6=x

X=5.5hours

Substitute x=5.5 into EQ 2 and 3

3x=3×5.5=16.5hours

2x=2×5.5=11hours

Check: substitute the value of x into eq3/5.5+3/16.5+3/11

0.545+0.182+0.273=0.9997=1

5 0
3 years ago
In a high school band there are 11 students in the drumline section. The drumline for a football game consists of 6 students. In
Vanyuwa [196]
If the band consists of 11 students and you have to choose 6 students for<span> the drumline for a football game, then you have to calculate the number of combinations:
</span>
C_{11}^6= \frac{11!}{6!\cdot (11-6)!}= \frac{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\cdot10\cdot11}{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot1\cdot2\cdot3\cdot4\cdot5}  = \frac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5} =462.

Answer: 462 ways to complete the <span>drumline for a football game.</span>
7 0
3 years ago
the supplement of an angle is 100 degrees more than half the measure of the complement of the angle. find the measure of the ori
solong [7]
The measure would be 4.5
4 0
2 years ago
How do i do this packet dividend in this house
Tom [10]

Answer: I can't answer this

Step-by-step explanation:

8 0
3 years ago
Carol had 9/12 of a container of milk for the french toast she was cooking. She poured 2/3 of the container into the pan. How mu
Effectus [21]

Answer:

1/12 of the container of milk will be left in the container

Step-by-step explanation:

To solve the question, we first note the variables

Volume of milk available = 9/12 of a container

Volume of milk poured in a pan = 2/3 of a container

Quantity of milk left = Initial quantity of milk less the quantity poured out

That is 9/12-2/3 = 1/12 of the container of milk

This means that there will be only 1/12 of the container of milk left

4 0
3 years ago
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