A doctor sees between 7 and 12 patients each day.
On Mondays and Tuesdays, the appointment times are 15 minutes.
On Wednesdays and Thursdays, they are 30 minutes.
On Fridays, they are one hour long.
The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
Answers
Answer:
The complete question seems to be:
A doctor sees between 7 and 12 patients each day.
On Mondays and Tuesdays, the appointment times are 15 minutes.
On Wednesdays and Thursdays, they are 30 minutes.
On Fridays, they are one hour long.
The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
0.25 ≤ y ≤ 1
7 ≤ x ≤ 12
xy ≤ 8
What represents each variable?
7 ≤ x ≤ 12
We know that the doctor sees between 7 and 12 patients each day, and the smallest value of x is 7, and the largest is 12, then x must represent the number of patients that the doctors see in a given day.
0.25 ≤ y ≤ 1
now,
On Mondays and Tuesdays, each appointment is 15 minutes long.
An hour has 60 minutes.
Then 15 minutes = 15/60 hours = 0.25 hours.
On Wednesdays and Thursdays, they are 30 minutes.
30 minutes = 30/60 hours = 0.5 hours.
Then the possible value of the time for each appointment are {0.25, 0.5, 1}
Then the variable y must represent the time that each appointment takes.
xy ≤ 8
We know that:
x = number of patients in a given day.
y = time that the appointment takes in a given day.
x*y = total number of hours that he works in that given day.
and we know that he works, at maximum, 8 hours.
then the inequality xy ≤ 8 has sense.
Related Questions
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answers
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
Using the income statement below, calculate the following profitability ratios for Western Bookkeeping and Tax Service. Assume that stockholder's equity equals $441,600 and total assets equal $640,000.
Profit margin ratio
Return on equity ratio
Asset turnover ratio
Write the profit margin and return on equity ratios as a percent, rounded to the nearest percent. Write the asset turnover ratio as a decimal, rounded to two decimal places.
Answers
The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:
Profit margin ratio = 8%Return on equity ratio = 8%Asset turnover ratio = 0.75.What are profitability ratios?Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.
Some of the common profitability ratios include:
Gross Profit MarginOperating Income RatioNet Income RatioReturn on Investment (ROI)Return on EquityReturn on Total AssetsAsset turnover RatioEarnings per share.Stockholders' equity = $442,600
Total assets = $640,000
Net sales = $480,000
Net income = $36,000
Profit margin ratio = Net income/Net Sales x 100
= $36,000/$480,000 x 100
= 7.5%
= 8%
Return on equity ratio = Net income/Shareholders' Equity x 100
= $36,000/$442,600 x 100
= 8.13%
= 8%
Asset turnover ratio = Net Sales/Total Assets
= $480,000/$640,000
= 0.75
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4. A department store offers a rewards card for frequent customers. Every time a customer earns 100
or more points, the customer receives a gift certificate. Each purchase is worth 12 points, and customers
automatically earn 25 points when they sign up. Which inequalities could be solved to find the number of
purchases, p, that a customer needs to make in order to earn the first gift certificate? Select all the correct
answers.
A) 12p+ 25 <100
B) 12p+ 25 100
C) 12p+ 25 > 100
D) 12p-25 ≥100
E) 25 ≥100-12p
F) 12p≥ 100-25
Answers
The inequality could be solved in order to get first gift certificate by customer is 12p≥100-25, So Option (F) is correct.
What is inequalities?Inequalities is a mathematical term, Which we use for comparison of two unequal expressions, It simply means that both the expressions are not equal. we express inequalities by following symbols ">", "<"," ≤", "≥".
Suppose total purchase is, p
Each purchase is worth 12 points,
when customer sign up automatically earns 25 points,
And, when total sum of points will be more than 100 customer will receive a gift,
So sum of points for total purchase and points earned for sign up should be more than 100,
12p+25≥100.
Hence, 12p≥100-25
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53/6 + something = 8
Answers
Answer: -5/6
Step-by-step explanation: 53/6= 8 5/6 -5/6=8
which of the following numbers is less than -8
-9
-1
0
6
-11
-20
Answers
Answer:
the answer is 6
Step-by-step explanation:
1,2,3,4,5,6,7,8
Please help what is 399/20 simplified
Answers
Answer:
19 19/20 in fraction
19.95 as a decimal
Step-by-step explanation:
Answer:
19 and 19/20
Step-by-step explanation:
The bar in a fraction stands for dividing
so you divide 399 by 20 which is 19 and 19 remainder
you turn the remainder into a fraction and the number into a whole number
Triangle RST with (2,0), s(-2,-3), and t(-2,3) reflected over the y axis. Find the coordinates and vertices
I
Answers
Step-by-step explanation:
The coordinates and vertices
which reflected over the y- axis are
r(-2,0) , s(2,-3) , and t(2,3).
6x¹⁸ divided by 9x⁶
please answer fast thanks!
Answers
Answer:
\(\frac{2}{3}x^{12}\)
Step-by-step explanation:
\(\displaystyle \frac{6x^{18}}{9x^6}=\frac{6}{9}*\frac{x^{18}}{x^6}=\frac{2}{3}*x^{18-6}=\frac{2}{3}x^{12}\)
\(\\ \rm\Rrightarrow \dfrac{6x^{18}}{9x^6}\)
\(\\ \rm\Rrightarrow \dfrac{2}{3}x^{18-6}\)
\(\\ \rm\Rrightarrow \dfrac{2}{3}x^{12}\)
\(\\ \rm\Rrightarrow \dfrac{2x^{12}}{3}\)
De los 12 jugadores del equipo 2/8 son delanteros
Answers
There are a total of 3 forwards on the team.
How many forwards are there on the team?A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar
Given:
2/8 of the players are forwards.
Total number of players on the team = 12
We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.
Fraction representing the forwards:
= 2/8
= 1/4
Total forwards on the team:
= 12 * (1/4)
= 3.
Translated question:
Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?
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PLEASE HELP
Which function, g or h, is the inverse function for function f?
Answers
Answer: The function h because the graphs of f and h are symmetrical about the line y=x.
What is 0.007 divided by 0.498 to nearest tenth
Answers
Answer:
0.0
Step-by-step explanation:
To find 0.007 divided by 0.498, we can perform the following calculation:
0.007 / 0.498 ≈ 0.0141
Rounding this to the nearest tenth gives:
0.0141 ≈ 0.0
Therefore, the result, rounded to the nearest tenth, is 0.0.
Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over both axes to create point C. What is the area of the triangle that results from connecting the three points?
Answers
The area of the triangle which is formed as described is; 60.
What is the area of the triangle formed?According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).
It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.
Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.
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please help its multiplying rational numbers
Answers
-3.2(-5.6)(4)
= -3.2 - 5.6 x 4
= -3.2 - 22.4
= -25.6
Katerina runs 15 miles in 2 1/2 hours what is the average number of minutes it takes her to run 1 mile?
Answers
We have that The average number of minutes it takes her to run 1 mile
\(X=42min\)
From the Question we are told that
Katerina runs 15 miles in 2 1/2 hours
Average number of minutes it takes her to run 1 mile
Generally
\(2 1/2 hour=10.5h\)
\(10.5hours=630minutes\)
Therefore
The average number of minutes it takes her to run 1 mile
\(X=\frac{630}{15}\)
\(X=42min\)
In conclusion
The average number of minutes it takes her to run 1 mile
\(X=42min\)
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What is the length of side CB to one decimal place?
B
A
10
53°
C
▸
Answers
The length of side CB to one decimal place is 89.3.
To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.
According to the sine rule:
sin(C) / x = sin(A) / AB
We know that angle A is 37° and AB is 120 units. Plugging in the values:
sin(53°) / x = sin(37°) / 120
To find x, we can rearrange the equation:
x = (120 * sin(53°)) / sin(37°)
Calculating this expression gives us:
x ≈ 89.32
Rounding this value to one decimal place, the length of side CB is approximately 89.3.
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A florist sold 45 flowers in a day and 60 flowers on the next day. If p is the percent increase in the number of flowers sold, which proportion can be used to calculate p?
Answers
Answer:
c
Step-by-step explanation:
i took the test
Answer: C
Step-by-step explanation:
Only one that makes sense and I just took that test
A rectangular pyramid is shown in the figure.
A rectangular pyramid with a base of dimensions 7 centimeters by 5 centimeters. The two large triangular faces have a height of 7.6 centimeters. The two small triangular faces have a height of 8 centimeters.
What is the surface area of the pyramid?
Answers
The surface area of the pyramid is 113 cm².
What is rectangular pyramid?A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.
The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.
To find the surface area of the pyramid, we need to find the area of each face and then add them up.
Area of the base:
The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:
Area of base = length × width = 7 cm × 5 cm = 35 cm²
Area of the four triangular faces:
Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:
Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²
Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²
There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:
Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face
= 2 × 19 cm² + 2 × 20 cm²
= 78 cm²
Total surface area:
Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:
Total surface area = area of base + total area of four triangular faces
= 35 cm² + 78 cm²
= 113 cm²
Therefore, the surface area of the pyramid is 113 cm²
.
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W is less than or equal to 9 and greater than or equal to 1
Answers
Answer:
w ≤9 and w≥1
Step-by-step explanation:
1≤w≤9 so w∈[1:9]
A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter. Lines u and v also show the positions of the two bugs. Which line shows the ladybug’s movement?
Answers
Answer:
Line u shows the movement of the ladybug. Because line v goes farther than line u
Step-by-step explanation:
Because line v goes farther than line u
The ladybug's motion is depicted in line u. Because line v is moving farther than line u.
What is Speed?The amount of the shift in approach per unit of time or the size of the displacement over time for an object can be used to describe speed, which would be a scalar quantity in everyday language and kinematics.
The maximum speed that can be maintained when a period grows closer to zero is the starting speed.
By dividing the object's distance traveled by the duration of the interval, the mean pace of the object for the given period is calculated. Speed and velocity are not always the same thing.
The line u and v show the position of the two bugs, but the line that shows the ladybug's movement is line u because line v is moving farther than line u.
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1. Mr. Jaime Go is building an additional cylindrical aquarium to add more
attraction to his Fish Park business. How much water is needed if it has a radius
of 3 m and a height of 4 m?
Answers
Answer:
v=pi * rayon² * h
v= 3.14 * 3² *4
v= 3.14 * 9 * 4
v= 113.04
Which of the following expressions represents the solution to -2 x ≤ -10?
x ≥ -5
x ≤ 5
x ≥ 5
x ≤ -5
WILL GIVE BRAINLIEST.
Answers
Answer:
The answer is C
Step-by-step explanation:
Nimer was driving to a hotel he looked at his sat nav at 13:30 and saw the following, distance to destination =65 miles miner arrived at the hotel at 14:48
Answers
Step-by-step explanation:
The total is 37000.
Hope it helps for your education
Simplify answer
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answers
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
Find the value of the variables in the figure to the right.
Answers
Answer:
x = 9
y = 56
Step-by-step explanation:
(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)
Find the value of x using this equation
\( 3x + 7 + 6x + 2 = 90 \)
Collect like terms
\( 3x + 6x + 7 + 2 = 90 \)
\( 9x + 9 = 90 \)
Subtract 9 from each side
\( 9x + 9 - 9 = 90 - 9 \)
\( 9x = 81 \)
Divide both sides by 9
\( \frac{9x}{9} = \frac{81}{9} \)
\( x = 9 \)
y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)
Plug in the value of x to find y
y = 6(9) + 2
y = 54 + 2
y = 56
I need help solving please do not report this question I need the answer I will give 30 points a heart 5.0 stars and brainlest
Answers
Answer:
280 m³
Step-by-step explanation:
Volume of a Triangular Prism
V = 1/2BHLSolving
V = 1/2 x 7 x 8 x 10V = 7 x 10 x 4V = 280 m³Answer:
280
Step-by-step explanation:
So first lets establish the formula for a Triangular Prism :
1/2 * b * h * l
now lets use the mesurements given to substitute into the formula :
1/2 * 7 * 8 * 10
now lets solve it by first multiplying all the whole numbers together!
7 * 8 = 56
56 * 10 = 560
Finally lets multiply 560 by 1/2 or in other words, divide 560 by 2 :
560/2 = 280
Over a 4 week period, randy clocks in the following work hours: 68, 71, 66, and 67. How many hours were in Randy’s average work?
Answers
How to answer:
Step 1 - add all the hours up
68 + 71 + 66 + 67 = 272
Step 2 - Divide the total from step one with the number of weeks which is 4
272/4 = 68
-2/5(x+3)=8 solve for x
Answers
Answer:
x = -23
Step-by-step explanation:
-2/5(x+3)=8
-2/5 * (x+3) = 8
-2(x+3)/5 = 8
5 * (-2(x+3)/5) = 5 * 8 ==> multiply by 5 to remove denominator
-2(x+3) = 40 ==> simplify
-2(x+3)/(-2) = 40/(-2) ==> divide by -2 to isolate x
x+3 = -20 ==> simplify
x+3-3 = -20-3 ==> subtract by 3 on both sides to isolate x
x = -23
19+0.12x=0.16x
This whole entire unit is pretty simple, but apparently my brain won't think.
Could you please help?
Answers
Answer:
0.04x = 19
x = 475
Step-by-step explanation:
19 + 0.12x = 0.16x
Take away 0.12x from both sides
19 = 0.04x
Divide 19 by 0.04 to find x
x = 475
Answer:
475
Step-by-step explanation:
First, you have to simplify the equation by moving all the like terms to one side of the equal sign.
This entails the taking of 0.12x to the right side of the equal sign.
Remember, when we take anything over the equal sign if it was a positive sign like in this case, it becomes a negative one and the opposite is true if the sign was negative.
So we have
19=0.16x - 0.12x
We then simplify further and get the equation
19=0.04x
To obtain the true value of x, we divide both sides of the equation by 0.04x as follows:
19/0.04=0.04x/0.04
We then find that
x= 475
The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answers
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.
Expand and simplify 3(x+2) + 4(2x+1)
Answers
Answer:
11x+10
Step-by-step explanation:
Distribute the GCF:
3(x+2) = 3x+6
4(2x+1) = 8x+4
(3x+6)+(8x+4)
Add the expressions:
(3x+6)+(8x+4) = 11x+10
Hope that helps