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Alisiya [41]
2 years 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]2 years 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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Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

(x_1,y_1) = (\frac{1}{2},4)

(x_2,y_2) = (\frac{2}{3},1)

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}

m =-\frac{ 3}{\frac{1}{6}}

m = -3/\frac{1}{6}

m = -3 * 6

m = -18

This is in contrast to m = -\frac{1}{2}, calculated by Cody

Solving further to determine the equation.

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (\frac{1}{2},4)

m = -18

y - 4 = -18(x - \frac{1}{2})

y - 4 = -18x + 9

Collect Like Terms

y + 18x = 9 + 4

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Simply the following expression: 8x + 5y - 4z + 9y - 3x + 13z
oksian1 [2.3K]

Answer:

5x+14y+9z

Step-by-step explanation:

combine 8x and -3x to get 5x

combine 5y and 9y to get 13y

combine -4z and 13z to get 9z

7 0
2 years ago
Regina, Phil, and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents th
Vladimir79 [104]

Answer:

Disagree

On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money

Step-by-step explanation:

The given expression for the hourly earnings of Regina, Phil and Joseph are as follows;

Regina: 6.50·h + 16

Phil: 3·(2.5·H + 5)

Joseph: 7.50·h + 10

The number of hours worked = h

The hourly earnings for Phil equated to the hourly earnings of Joseph gives;

3·(2.5·H + 5) = 7.50·h + 10

Simplifying we get;

3 × 2.5·h + 3 × 5 = 7.50·h + 10

7.5·h + 15 = 7.50·h + 10

Which gives

15 =  10 + 5 = 10 which is not correct.

Therefore, when both Phil and Joseph works the same number of hours, in the week, Phil will earn 5 units more Joseph

However, we have that, where Joseph works extra 5/7.5 or 2/3 hours more than Phil, every week, they will earn the same amount of money every week.

Therefore, it is possible for Phil and Joseph to earn the same amount of money when Joseph works extra 2/3 hours more than Phil which gives;

On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money.

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3 years ago
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Answer:

70 and 110

Step-by-step explanation:

The two angles add to 180 degrees since they form a straight line

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The right angle is 3x+20 = 3*30 +20 = 90+20 = 110

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