Which of the following statements is true about the equations 3m + 7n=8 and 8y+4z=7?

The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all en

pshichka [43]

Let the price of adult's ticket be $x$
the expression for the child's ticket is $x-6$

The price of adult's ticket during off-peak season is $\frac{1}{2}x$
The price of child's ticket during off-peak season is $\frac{1}{2}(x-6)$

The total cost paid by The Sandlers is $78
The equation is $78= \frac{1}{2}x- \frac{1}{2}(2(x-6))$ = $\frac{1}{2}x+(x-6)$

rearranging to solve the equation
$78= \frac{1}{2}x+x-6$
$78= \frac{3x}{2} -6$
$78+6= \frac{3x}{2}$
$(84)(2)=3x$
$\frac{168}{3} =x$
$x=56$

The price of one adult's ticket is $56 (normal price) and the price of one child's ticket is $50

8 0

4 years ago

Hunter-Best [27]

Answer:

Kindly check attached picture

Step-by-step explanation:

Data:

Prior experience :

5

12

0

2

5

9

6

11

12

0

5

9

1

0

5

3

12

3

11

10

8

1

0

6

7

0

8

13

7

0

Annual salary:

37500

50912

29356

27750

97844

48442

40207

42331

87489

26118

40025

88763

35829

17784

54199

36932

93279

22100

49987

85471

52220

36109

23105

39455

49861

30327

31008

90874

57966

16500

Using the data above, the scatter plot obyaoon using statistical software is attached below, from the line of best fit, the regression equation which models the relationship between the two variables is ŷ = 4003.257X + 25172.868.

The trend of the best fit line shows a positive correlation between prior experience and annual salary. The correlation Coefficient value which shows the strength of the association gives a value of 0.7225 ; hence, depicting a strong positive correlation.