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Rus_ich [418]
2 years ago
5

Duncan shares 20 percent of all of his sales commissions with his personal assistant. If Duncan earns x dollars in commissions a

nd gives his assistant y dollars, which equation correctly models this situation?
x = 0.20 y
y = 0.20 x
x = StartFraction y over 20 EndFraction
y = StartFraction x over 20 EndFraction
Mathematics
1 answer:
grandymaker [24]2 years ago
3 0

Answer:

it b

Step-by-step explanation:

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Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat
Taya2010 [7]

Answer:

\displaystyle \left(1,\frac{5}{12}\right)

Step-by-step explanation:

<u>Graphs</u>

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

w=mt+b

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

0=m(0)+b

It follows that b=0

The equation now takes the form:

w=mt

Using the point (12,5):

5=m(12)

We find m:

\displaystyle m=\frac{5}{12}

The final equation is:

\displaystyle w=\frac{5}{12}\cdot t

Substituting t=1:

\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

\boxed{\displaystyle \left(1,\frac{5}{12}\right)}

6 0
3 years ago
A population has groups that have a small amount of variation within them, but large variation among or between the groups thems
Sauron [17]

Answer:

B. stratified.

Step-by-step explanation:

If a population is composed by identifiable groups or strata, with large variations between groups, the stratified sampling should be applied in order to comprehend and represent all of the different groups in the sampling process.

Therefore, the answer is  alternative B. stratified.

6 0
2 years ago
In a circle of radius 60 inches, a central angle of 35 will intersect the circle forming an arc of length _____.
11111nata11111 [884]

Answer: 36.65 inches

Step-by-step explanation:

The length of arc with a central angle x and radius r in a circle is given by :-

l=\frac{x}{360^{\circ}}\times2\pi r

Given : Radius of a circle = 60 inches

Central angle =35^{\circ}

Now, the of length of arc is given by :-

l=\frac{35^{\circ}}{360^{\circ}}\times2\pi(60)\\\\\Rightarrow\ l=(0.097222222222)2(3.14159265359)(60)=36.6519142918\approx36.65

Hence, the length of arc = 36.65 inches.

6 0
3 years ago
Help with this please!
Katen [24]
12x is equal to (13-9)3x, so put a tick there.

15x is equal to 6x/2 * 5 

24 x is equal to the middle row, which simplifies to (12)2x  = 24x.
4 0
2 years ago
Read 2 more answers
9x - y power two - 20 ≥ 0 i need every passage​
andre [41]

Answer: photo

Step-by-step explanation:

I am not sure but hope it helps

7 0
3 years ago
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