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user100
2 months ago
14

Ellen said she spent half her money for lunch and half of what was left for a movie. She now has $1.20. How much did she spend f

or lunch?
Devise a plan

Carry out the plan

Look back (is it reasonable? Did we answer the question?)
Mathematics
1 answer:
lawyer [12.5K]2 months ago
8 0
She spent $1.20 on lunch. Step-by-step explanation: Let the total money be 'x'. Half the amount she utilized for lunch equals Half the remaining amount for a movie equals The current amount she possesses is $1.20. Therefore, from the question we derive: Thus, the amount she used for lunch amounts to $1.20.
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Michelle receives 32K per year as an assistant fast food manager. Her benefits include health insurance, paid holidays, retireme
tester [12383]

Response:

The annual income of Michelle along with benefits = $48, 440

Step-by-step clarification:

Since you have not provided details regarding the table of benefits hence, I will treat this table as the reference for showing benefit values.

Table of Benefits Value:

       Benefit                          Value

            Health Insurance                                 $7,550

            Paid Holidays                                       $660

            Retirement Contributions                    $4,500

            Paid Vacation                                        $1,230

            Uniform Supplied                                  $2,500

Here’s a breakdown of Michelle's benefits as per the table:

Annual income for Michelle without benefits =  $32,000

Health Insurance benefit = $7,550

Paid Holidays benefit = $660

Retirement Contributions benefit = $4,500

Paid Vacation benefit = $1,230

Uniform Supplied benefit = $2,500

Thus, the total benefit amount received = $7,550 + $660 + $4,500 + $1,230 + $2,500 = $16,440

Thus, the comprehensive annual salary including benefits can be calculated as:

Michelle's annual income before benefits =  $32,000

Total benefits received by Michelle = $16,440

Therefore, Michelle's full annual salary including benefits = $32,000 + $16,440

                                                                       = $48, 440

Thus, the overall annual income of Michelle including her benefits = $48, 440

Keywords: computation, salary, benefits, savings

Learn more about salary calculation from

                       

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8 0
2 months ago
Describe how to find the number of seats in the middle and lower levels of the stadium when solving for the variable only gives
babunello [11817]

Response:

Detailed explanation:

To determine the upper level value, you must resolve the equation "x + (2x + 40) + (3x – 50) = 15,002," yielding an answer of 2,502. To discover the values for the lower and middle floors, you need to apply the variable to different equations. The lower level has 50 fewer than three times the number of seats equal to x. To find the count of seats at the lower level, multiply 2,502 by 3 (7,506) and then subtract 50 (7,506 - 50 = 7456). The middle level consists of 40 more than twice the upper level's seats. To get the middle level's count, multiply 2,506 by 2 (5004), then add 40 ( 5004 + 40 = 5044).

3 0
2 months ago
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
Svet_ta [12734]

Answer:

Her weekly expenses amount to $25.

Detailed reasoning:

Given: Jessica earns commissions for every sale but must cover her own spending costs.

She expresses her income function as E(x) = 7x - 25, where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.

To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?

Working it out:

E(x) = 7x - 25

x symbolizes the doors knocked per week

E(x) reflects her weekly total earnings in dollars.

Calculating the y-intercept:

Set x = 0

y= - 25

Given that E(x) is the net earning after expenses,

the value 25 corresponds to her weekly expenses.

Since she is responsible for covering costs,

if she makes zero sales, these expenses still apply.

Therefore, the y-intercept realistically represents her $25 weekly expenses.

4 0
3 months ago
Read 2 more answers
Seymour is twice as old as Cassandra. If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages beco
PIT_PIT [12445]

Answer:

\text{The present age of Cassandra=x=32 yrs}

\text}{The present age of Seymour=2x=2\times 32=64 yrs}

Step-by-step explanation:

Based on the fact that Seymour’s age is double that of Cassandra. If 16 is added to Cassandra’s age and 16 is deducted from Seymour’s age, both will be of the same age.

We need to determine their current ages.

Let Cassandra's current age be x years

Given that Seymour is twice as old as Cassandra

Thus, Seymour's current age=2x years

According to the problem, if 16 is added to Cassandra's age and 16 is subtracted from Seymour's age, their ages will equal each other.

⇒ x+16=2x-16

2x-x=16+16

x=32 yrs

\text{The present age of Cassandra=x=32 yrs}

\text}{The present age of Seymour=2x=2\times 32=64 yrs}

8 0
1 month ago
A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below:69.40
Zina [12379]

Answer:

The most likely length of the line is 69.4012 meters.

The calculated standard deviation amounts to 0.0032 meters.

Step-by-step explanation:

In the problem, the following values are provided:

69.401, 69.400, 69.402, 69.396, 69.406, 69.401, 69.396, 69.401, 69.405, 69.404      

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}  

where x_i represent data points, \bar{x} is the average, and n indicates the count of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{694.012}{10} = 69.4012

The most likely length of the line is 69.4012 meters.

Sum of squares of differences = 0.0001016

\sigma = \sqrt{\dfrac{0.0001016}{10}} = 0.0032

The calculated standard deviation amounts to 0.0032 meters.

3 0
2 months ago
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