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stira [4]
2 years ago
14

To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?

Mathematics
1 answer:
ollegr [7]2 years ago
3 0

Answer:

D. 5/3

Step-by-step explanation:

\frac{1/6+1/2+1/3+x}{4} =2/3

1/6+1/2+1/3+x=8/3

x=8/3-1/6-1/2-1/3

x=8/3-1/6-3/6-2/6

x=8/3-6/6

x=16/6-6/6=10/6

simplified

x=5/3

Hope this helps

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Please help me solve this! I’ve been stuck for ages! Thankyou
polet [3.4K]

Answer:

y = sin(x- pi/2)

Step-by-step explanation:

Please see the attached image to see your graphs.

By simple inspection we can see that the sine is shifted pi/2 to the right.

We know this because sines are periodic functions with a period T = 2*pi

We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.

And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.

7 0
3 years ago
Norma Jean makes $25 per hour. She works 35 hours per week. She gets a commission of 15% on her total sales. How much should Nor
TEA [102]

Answer:

$24166.67

Step-by-step explanation:

$25 per hour and works 35 hours per week

Norma Jean makes 35 * 25  (<em>without sales) = </em>$875

<em> </em>Total commission made by Norma<em> </em>= 4500-875 = $3625

<em>let total number of sales by Norma be x</em>

15% is the same as 15/100

<em>so </em>(15/100) * x =3625 <em> multiplying both sides by 100</em>

15x = 362500<em> making x subject of formula</em>

x = 362500/15

x = 24 166.67

Norma should sell total items worth $24166.67

 

6 0
3 years ago
Read 2 more answers
1 3/4 − 4/5 = 35 twentieths − what fraction???<br><br>Plss help will give brainliest :)
7nadin3 [17]

let's firstly convert the mixed fractions to improper fractions and then to do away with the denominators, let's multiply both sides by the LCD of all denominators.

\stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{4}-\cfrac{4}{5}=\cfrac{35}{20}-\boxed{?}\implies \stackrel{\textit{multipling both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{7}{4}-\cfrac{4}{5} \right)=20\left( \cfrac{35}{20}-\boxed{?} \right)} \\\\\\ 35-16=35-20\boxed{?}\implies 19=35-20\boxed{?}\implies -16=-20\boxed{?} \\\\\\ \cfrac{-16}{-20}=\boxed{?}\implies \cfrac{4}{5}=\boxed{?}

8 0
2 years ago
Read 2 more answers
7/9 - 1/2 in simplest fraction form
likoan [24]
14/18-9/18=5/18 it can't be simplified anymore
8 0
3 years ago
Read 2 more answers
What are the answers plz help me
Serga [27]

For number 3 it would be |-10| and |10|.

Number 5a is supposed to <, because -1 is greater than -7 when you look at the line graph. The same goes for 5b. 5d is >, because 0 is always greater than -1 and it shows that on the line graph that you have there. 5e is =.

I don't see anything else wrong though. Just the ones I listed.

Hope that helps!

8 0
3 years ago
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