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Alisiya [41]
1 year ago
13

When darryl and his family moved to the city, there were 133 retail stores. use the equation to predict what year darryl’s famil

y moved to the city.
Mathematics
1 answer:
devlian [24]1 year ago
4 0

According to the information, the year Darryl and his family arrived in the city was 2001.

<h3>How to calculate the year that Darryl and her family moved to the city?</h3>

To calculate what year Darryl and her family moved to this city, we need to replace the value of x with the year they moved and the result should be 133.

  • y = 11x + 12
  • 133 = 11x + 12
  • 133 - 12 = 11x
  • 121 = 11x
  • 121 ÷ 11 = x
  • 11 = x

According to the above, 11 years passed from 1990 to the year in which Darryl and his family moved to the city, that is, the year 2001.

Note: This question is incomplete because the options and image are missing. Here is the complete information:

Learn more about equation in: brainly.com/question/10413253

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Jake bought 2 shirts and 1 pair of pants for $6. Mike bought 1 shirt and 1 pair of pants for $4. How much is each shirt and each
EastWind [94]

The cost of a shirt and a pair of pants is the same and is equal to $2. The correct option is B.

<h3>What is a solution to a system of equations?</h3>

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)

Let x represent the cost of a shirt, while y represent the cost of a pair of pants.

Given that Jake bought 2 shirts and 1 pair of pants for $6. Therefore, the equation that represents this situation is,

2x + y = 6 ..... equation 1

Also, Mike bought 1 shirt and 1 pair of pants for $4. Therefore, the equation that represents this situation is,

x + y = 4

Solve the equation for x,

x = 4 - y

Substitute the value of x in equation 1,

2x + y = 6

2(4 - y) + y = 6

8 - 2y + y = 6

-y = 6 - 8

-y = -2

y = 2

Substitute the value of y in equation 1,

2x + y = 6

2x + 2 = 6

2x + 2 = 6

2x = 6 - 2

2x = 4

x = 4/2

x = 2

Hence, the cost of a shirt and a pair of pants is the same and is equal to $2.

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