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Ksju [112]
3 years ago
5

A waitress sold 11 ribeye steak dinners and 18 grilled salmon dinners, totaling 592.29 on a particular day. Another day she sold

16 rib eye steak dinners and 6 grilled salmon dinners, totaling 580.56. How much did each type of dinner cost?
Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0

Let the cost of 1 ribeye steak dinner = x

The cost of 1 salmon dinner = y

Then,

11x + 18y = 592.29   (1)

16x + 6y = 580.56   (2)

Multiplying the second equation by 3, we get,

48x + 18y = 1741.68   (3)

(3) - (1) gives

37x = 1149.39

x = 31.06

Substituting the value for x in (1), we get,

11(31.06) + 18y = 592.29

341.66 + 18y = 592.29

18y = 250.63

y = 13.92

Hence, the cost of ribeye steak dinner = 31.06 and the cost of grilled salmon dinner = 13.92.

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4 times a number is decreased by 9, the result is the same as when 15 is added to twice the number. find the number
igor_vitrenko [27]

Answer:

12

Step-by-step explanation:

4*x-9=2x+15

4x-9=2x+15

-2x    -2x

2x-9=15

2x=24

x=12

5 0
2 years ago
Write the slope-intercept form of the equation of the line described.
Ad libitum [116K]

                                                  7)

Given the line

y=-x+2

We know that the slope-intercept form of the line equation is

y=mx+b

here

m is the slope and b is the intercept

Thus, the slope = -1

We know that the parallel lines have the same. Thus, the slope of the parallel line is: -1

Using point-slope of the line equation

y-y_1=m\left(x-x_1\right)

substituting the values m = -1 and the point (4, 0)

y-0 = -1 (x-4)

Writing in the slope-intercept form

y = -x+4

Thus, the slope-intercept form of the equation of the line equation parallel to y=-x+ 2 will be:

  • y = -x+4

                                                      8)

<em>Note: </em><em>Your line is a little bit unclear. But, I am assuming the</em>

<em>ine is: </em>y = -x-1

<em />

Given the assumed line

y = -x-1

We know that the slope-intercept form of the line equation is

y=mx+b

here

m is the slope and b is the intercept

Thus, the slope = m = -1

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Using point-slope of the line equation

y-y_1=m\left(x-x_1\right)

substituting the values m = 1 and the point (4, 3)

y - 3 = 1 (x-4)

Writing in the slope-intercept form

y-3 = x-4

y = x-4+3

y = x - 1

Thus, the slope-intercept form of the equation of the line equation perpendicular to y = -x-1 will be:

  • y = x - 1

5 0
2 years ago
A random sample of 145 students is chosen from a population of 4,250 students. The mean IQ in the sample is 130, with a standard
snow_tiger [21]

Answer:

Approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956

Step-by-step explanation:

The formula to use to solve this question is called the Confidence Interval formula.

Confidence interval =

x ± z × ( σ/ (√n) )

Where:

x = the sample mean = 130

z = the z-value for 90% confidence = 1.645

σ = standard deviation = 7

n = sample size = 145

130 ± 1.645 × (7/√145)

130 ± 0.9562687005

130 - 0.9562687005 = 129.0437313

130 + 0.9562687005 = 130.9562687005

Therefore, approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956

7 0
3 years ago
Two questions in 1 please help​
never [62]

Answer:

1 and idk the second

Step-by-step explanation:

8 0
3 years ago
17 plus what equals 79
Tasya [4]
The answer would be 62
4 0
3 years ago
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