A waitress sold 20 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$559.11 on a particular day. Another day she sold 29 ribeye steak dinners and 6 grilled salmon​ dinners, totaling ​$583.72 How much did each type of dinner​ cost?

Answer:

Explanation:

Create two equations showing the amount sold and earned each day:

[tex]\left \{ {{20x+12y=559.11} \atop {29x+6y=583.72}} \right.[/tex]

Solve the system of equations:

[tex]\left \{ {{20x+12y=559.11} \atop {29x+6y=583.72}} \right.\\\\=\left \{ {{20x+12y=559.11} \atop {29(2)x+6(2)y=583.72(2)}} \right.\\\\=\left \{ {{20x+12y=559.11} \atop {58x+12y=1167.44}} \right.\\\\(20-58)x+(12-12)y=559.11-1167.44\\\\-38x=-608.33\\\\x=\frac{-608.33}{-38} =16.01\\\\20x+12y=559.11\\20(16.01)+12y=559.11\\12y=559.11-20(16.01)\\12y=238.91\\y=19.91[/tex]

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True or False
A market system sees its primary economic goal the goal of equity.

Randwick Medical Centre provides wide range of hospital services. The hospital’s board of directors has recently authorized the following capital expenditure:
Tshs
Neonatal care equipment 900,000
CT scanner 800,000
X-ray equipment 650,000
Laboratory equipment 1,450,000
Total 3,800,000
The expenditures are planned for 1st October 2018, and board wishes to know the amount of borrowing, if any on that date. Jesus’son the management accountant has gathered the following information to be used in preparing an analysis of future cash flows:
Billings for the first six months of 2018 made in the month of service are as follows;

Month Actual Amount (Tshs)
January 4,400,000
February 4,400,000
March 4,500,000
April 4,500,000
May 5,000,000
June 5,000,000
July 4,500,000
August 5,000,000
September 5,500,000
October 5,700,000
November 5,800,000
December 5,500,000

80% of the hospital’s billing are made to health insurance fund (NHIF) the remaining 20% of billing are made directly to patients. Historical patterns of billing receipts are presented below:
NHIF billing (%) Direct patient billing (%)
During month of service 50 20
During month following service 20 40
During second month following service 20 30
Uncollectable 10 10

The planned purchases for 2018 are presented in the following schedule:
Month Amount (Tshs)
April 1,100,000
May 1,200,000
June 1,200,000
July 1,250,000
August 1,500,000
September 1,850,000
October 1,950,000
November 2,250,000
December 1,750,000

Additional information:
All purchases are on credit, and account payable are paid in the month following the purchase
Salaries expected to be Tshs 1,500,000 each month and are paid in the month of service.
The hospital’s monthly depreciation charges are Tshs 125,000
Interest expenses of Tshs 150,000 are incurred on the last day of each quarter ( 31 March, 30 June, 30 September and 31 December.
Investment income is expected to continue at the rate of Tshs 175,000 per month.
The hospital has a cash balance of Tshs 300,000 on 1st July 2018 and has a policy to maintaining a minimum end of month cash balance of 10% of current month purchases.
The hospital uses a calendar year reporting period.
Required
Prepare a cash budget for the last two quarter of 2018 (July to December).
​

Which expression is equivalent to x2 - 12x + 11?
O (x+11)(x + 1)
O (x - 11)(x+1)
O (x + 11)(x - 1)
o (x - 11)(x - 1)

fil5 not steam 72
remake​

Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1415 referee​ calls, with the result that 425 of the calls were overturned. Women challenged 755 referee​ calls, and 210 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts​ (a) through​ (c) below.
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis​ test?
A.
H0​: p1=p2
H1​: p1≠p2
B.
H0​: p1≠p2
H1​: p1=p2
C.
H0​: p1=p2
H1​: p1 p2
F.
H0​: p1≤p2
H1​: p1≠p2
Identify the test statistic.
z=nothing
​(Round to two decimal places as​ needed.)
Identify the​ P-value.
​P-value=nothing
​(Round to three decimal places as​ needed.)
What is the conclusion based on the hypothesis​ test?
The​ P-value is
▼
less than
greater than
the significance level of α=0.05​, so
▼
reject
fail to reject
the null hypothesis. There
▼
is not sufficient
is sufficient
evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
b. Test the claim by constructing an appropriate confidence interval.
The 95​% confidence interval is nothing ​(Round to three decimal places as​ needed.)
What is the conclusion based on the confidence​ interval?
Because the confidence interval limits
▼
include
do not include
​0, there
▼
does
does not
appear to be a significant difference between the two proportions. There
▼
is sufficient
is not sufficient
evidence to warrant rejection of the claim that men and women have equal success in challenging calls.
c. Based on the​ results, does it appear that men and women may have equal success in challenging​ calls?
A.
The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that women have more success.
B.
The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that men have more success.
C.
The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
D.
There is not enough information to reach a conclusion.

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Dialogue between Michael and an educator about his lifestyle and his Choice of studying at an FET College and eating habits
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briefly explain why the primary, secondary, tertiary and quanternery sectors are important in society​

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