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3 years ago

If 1/4 of x is 16, what is 3/4 of x! Justify your answer in more than one way

Mathematics

2 answers:

sp2606 [1]3 years ago

5 0

Hi,
1/4of X means 1/4*x=16
then 3/4 of x means 3/4*x=?
we can write 3(1/4)x
put 1/4*x=16
3(16)=48

Dimas [21]3 years ago

4 0

You might find it easiest to do this: 1) find the value of x, and then 2) find 3/4 of x.

If 1/4 of x is 16, multiply both sides of this equation by 4, to clear out the fraction. What do you get? This is the value of x you wanted. Now multiply this value of x by 3/4. The result is your answer.

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your grade in Class varies directly with how many hours you study. you study for 3 hours and get a 60. What grade would you get

wel

To do this question you can use proportions.

3/60 is simplified to 1/20.

This shows that if you study 1 hour you get a 20. So to find the answer you multiply each side by 4.5, this means that if you study 4.5 hours you get a 90.

8 0

3 years ago

You and your friend each collect rocks and fessis your friend collects three times as many roots and half as many fossils as you

n200080 [17]

Answer:

Number of rocks and fossils collected by you is 1 and 24 respectively

Number of rocks and fossils collected by your friend is 3 and 12 respectively

Step-by-step explanation:

Let the number of Rocks you collect be x

Let the number of Fossils you collect be y

Then the total number pf objects you collected will be

x + y = 25

x = 25 - y------------------------------(1)

Your friend collects three times as many rocks and half as many fossils as you.

This can be written as

3x + y (1/2) = 15

3x + (y/2) = 15-------------------(2)

Substituting (1) in (2)

3(25 - y) + (y/2) = 15

75 - 3y + (y/2) = 15

Grouping the like terms we get,

75 - 15 = 3y = (y/2)

60 = ( 6y - y /2)

60 x 2 = 6y -y

120 = 5y

y = 120/5

y = 24

Substituting y value in equation(1) we get

x = 25 - 24

x= 1

y= 24

Friends collects 3 times rock

so collects 3x =3(1) = 3rocks

Also he collects half as many fossils

That is

y/2 = 24/2 = 12 fossils

Hope this help you! :)

5 0

2 years ago

Please help me i have limited time and im confused

luda_lava [24]

The expected value is $8,000.

4 0

2 years ago

Here’s my dilemma, I can accept a $1000 bill or play a game ten times. For each roll of the single die, I win $500 for rolling 1

Aloiza [94]

Answer:

you should accept the $1,000 bill

Step-by-step explanation:

Given the information:

$500 for rolling 1 or 2
$400 for rolling 3
lose $300 for rolling 4,5,6

P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3

P (rolling a 3) = 1/6

P (rolling 4 or 5 or 6) = 3/6 = 1/2

Hence, the expected value for 1 time is:

E = (1/3)*500 + (1/6)*400 - (1/2)*300

E = $166 + $66 - $150

E = $82

Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820

The expected value is $82, meaning you should accept the $1,000 bill

5 0

2 years ago

What value for n makes this equation true? 6 • 25 = (6 • 20) + (6 • n)

kogti [31]

6* 25 = 150 = (6*20= 120) + (6*5=30) Then Add 120+30= 150 so your answer is 5

7 0

3 years ago

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