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MAXImum [283]
3 years ago
5

A researcher plans to investigate whether a cup of hot milk at night helps people relax so that they fall asleep quickly. in thi

s study, _____________.
a. the independent variable is the amount of time it takes the person to fall asleep
b. the independent variable is the lab in which the research is conducted.
c. the independent variable is the hot milk at bedtime
d. the independent variable is the hypothesis of the study.
Mathematics
1 answer:
padilas [110]3 years ago
8 0
C. the independent variable is the hot milk at bedtime
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LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.<br>​
Brilliant_brown [7]
<h3>Answer:  126</h3>

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

---------------------

Notice that

  • 162 = 18*9
  • 126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

  • A = multiples of 162
  • B = multiples of 126

So,

  • A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...
  • B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

7 0
2 years ago
EVALUATE F(X)=1/3X FOR X=4
ollegr [7]
Simply plug in x = 4 in to the function

f(4) = 1/3 * 4

f(4) = 4/3
5 0
3 years ago
12=x+3 please help me out
valentina_108 [34]

Answer: x=9

12=x+3

-3     -3

9=x

7 0
3 years ago
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HELP I will give brainliest to make the perfect shade of orange cake frosting, Mya needs 8 drops of yellow food coloring for eve
GalinKa [24]
She will need 48 drops of red food coloring
7 0
3 years ago
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One hundred divided by the quantity three times fives
AlladinOne [14]

For this case we have:

One hundred equals 100

three times fives equals3 (5) = 15

So, rewriting the expression we have:

\frac {100} {3 * 5} = \frac {20} {3}

Answer:

One hundred divided by the quantity three times fives is equivalent to \frac {20} {3}

5 0
3 years ago
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