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german
3 years ago
12

Mariah's earnings rate can be described in dollars per hour or hours per dollar. Mariah earns $10 for each hour she works at a m

ovie theater. State this rate in two different ways, and describe the difference.
Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

<u>dollars per hour rate = $10</u>

<u>hours per dollar = 6 minutes 15 seconds</u>

Step-by-step explanation:

Take note that one is singular (dollar) without an 's', and the other is plural (dollars). Thus, since her dollars per hour rate tells us how much she will earn for each hour of work, we would expect her hours per dollar rate to tell us how much she has to work in minutes to earn a single dollar ($1).

If we divide \frac{10}{60 minutes} = $0.16 which indicates how much she earns for every minute she works at the theater. Further dividing this value into 1 minute we find the hour per dollar rate 1/0.16 = 6.25. minutes.

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A concert hall has seven sections. Each section has 23 rules. Please roll has 14 seats. If the theater sells out pretty particul
Mice21 [21]

Answer:

The number of people that attended the performance = 2,254

Amount collected at box office = $45,080

Step-by-step explanation:

For the theater to sell out a performance, it means it was filled to the brim( completely filled)

We have 7 sections, with 23 rows each

The total number of rows will be 23 * 7 = 161 rows

Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats

Secondly we want to know how much was collected at the box office given the average ticket price

The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080

7 0
3 years ago
-5y=-6x+15 How could i solve this im trying to learn all this so i dont keep looking it all up​
Nataliya [291]

Answer:

y= (6/5)x-3

if you want the slope it's 6/5 and the y intercept is -3

Step-by-step explanation:

sI'm not too sure what the question so i'll just assume that you want to write this in slope intercept form

or y=mx+b

to do this all we need to do is have y be positive and by itself

to do this you can just divide both sides by -5

which gives us

y= (6/5)x-3

7 0
3 years ago
Read 2 more answers
Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)
Rom4ik [11]

Answer:


Step-by-step explanation:

Given : p(x)=x^{3} +6x^{2} -7x-60

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, \text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}

Since constant term = -60

Leading coefficient = 1

\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}

\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}

Thus the possible roots are  \pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0.  All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is x^{2} +x-12

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

x^{2} +x-12=0

x^{2} +4x-3x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)





3 0
3 years ago
Read 2 more answers
What equation(s) represent joint variations? check all that apply c=2pi z=3x/y y=3x+2 w=abc/4 v=lwh
Alinara [238K]

Answer:

Step-by-step explanation:

Joint variations occurs when one variable depends on the value of two or more variables. The variable varies directly or indirectly with the other variables combined together. The other variables are held constant. From the given examples, the equation(s) that represent joint variations are

1) z = 3x/y

z varies directly with x and inversely with y.

2) w = abc/4

w varies inversely with a,b and c. 4 is the value of the constant of variation.

7 0
3 years ago
Darin has 5 coins that the total 62%. What are the coins?
Snowcat [4.5K]
Hi there!

There are several possible options.

A main one would be : 10 DIMES and 2 PENNIES

Other ones could be :

2 quarters
1 dime
2 pennies

62 pennies

12 nickels
2 pennies

and more !

Hope this helps !
5 0
3 years ago
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