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Tema
1 month ago
5

The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a

total of 24 slices. The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices. Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options. For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices. For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line. The Hernandez family’s slices are smaller than the Wilson family’s slices. If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices. The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.
Mathematics
2 answers:
Inessa [12.5K]1 month ago
7 0

In the case of the Hernandez family, three pizzas were divided into 24 slices, which means each pizza was sliced into 24 divided by 3 equals 8 slices. Thus, if we were to express the relationship between the total number of slices, y, and the count of pizzas, x, it would be represented by the equation y = 8x. Therefore, option #1 is incorrect.

Regarding the Wilson family, ordering three large pizzas would result in y = 10(3) = 30 slices. This indicates they would get more slices than the Hernandez family. Consequently, option #3 is accurate. Additionally, this equation indicates that each of their pizzas is cut into 10 slices, contrasting with the Hernandez family’s 8 slices. Thus, the slices from the Hernandez family are larger than those from the Wilson family. Option #2 is also incorrect. As for option #4, the constant of proportionality for the Hernandez family stands at 8, hence option #4 is also incorrect.

Response: Option #3

zzz [12.3K]1 month ago
4 0

Response:

number three

Step-by-step explanation:

I just completed it

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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

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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

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

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