Answer:
[tex]s(p) =\frac{77p}{1075}[/tex]
Step-by-step explanation:
Given
s = sales tax
p = retail price
The variation is represented as:
[tex]s\ \alpha\ p[/tex]
s = 12.32 when p = 172.
Required: Determine function s(p)
[tex]s\ \alpha\ p[/tex]
Convert to equation
[tex]s = kp[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k =\frac{s}{p}[/tex]
Substitute values for s and p
[tex]k =\frac{12.32}{172}[/tex]
Multiply by 100/200
[tex]k = \frac{1232}{17200}[/tex]
Simplify:
[tex]k =\frac{77}{1075}[/tex]
To get the function, we substitute 77/1075 for k in:[tex]s = kp[/tex]
[tex]s =\frac{77}{1075}p[/tex]
[tex]s =\frac{77p}{1075}[/tex]
Express as a function
[tex]s(p) =\frac{77p}{1075}[/tex]
help help help help help help
Answer:
y=7x²−42x+67
There is a graph below to help you out
Consider the NASCAR race, the Indianapolis 500. Its name refers to the total race distance of 500 miles. There are 44 cars are racing (all of them also finish), and they all have an average mileage of 6.78 miles per gallon. If the fuel cost is $1.63 per gallon, what is the total fuel cost, in dollars, for all cars finishing the entire race?
Answer: $5289.35
Step-by-step explanation:
Since the cars have an average mileage of 6.78 miles per gallon and the race is 500 miles, the number of gallons each car will take will be:
= 500/6.78
= 73.75 gallons
Since they're 44 cars, the total gallons of fuel will be:
= 44 × 73.75
= 3245 gallons
Since the fuel cost is $1.63 per gallon, the total fuel cost, will be:
= $1.63 × 3245
= $5289.35
Kathy bought 2 4/9 pounds of cheese. She used 1 1/3 pounds of the cheese to make lunch for her family. How many pounds of cheese are left?
Answer:
1 1/9
Step-by-step explanation:
Hope it is correct Have a nicee dayy
va rog ajutati ma am test plssssssssssss
Answer:
ok despre ce ai o întrebare?
Step-by-step explanation:
I WILL MARK BRAINLIEST
The_______ allowed farmers to plow fields using horses.
(heavy plow/horse collar)
Answer:
the answer will be hores collar
Step-by-step explanation:
thank you
Answer:
Horse Collar
Step-by-step explanation: I got it correct :D sorry im a bit late, that being said, this is for people who want an answer
The figure shows a quadrilateral. The length of each side is given as shown
Find the perimeter of the quadrilateral in terms of z.
Answer:
3z + 15
Step-by-step explanation:
perimeter = sum of lengths of sides
P =
P = 3z + 15
IS THE ANSWER B JUST TRYING TO CHECK
Answer:
No my dude its c
Step-by-step explanation:
Lauren has already knit 24 centimeters of scarf, and can knit 1 centimeter each night. How
many nights will Lauren have to spend knitting in order to knit a total of 44 centimeters of
scarf?
Answer:
20
Step-by-step explanation:
44-24=20
Can someone help please?
Answer:
25 is the correct answer
Evaluate the function at the given value of x. Round your result to three decimal places.
Function f(x) = 0.2%
Value x = 1.5
Your function is a constant and given the instructions of rounding it seems likely that you have a typo in your question. Anyway here goes the answer.
Since the function is constant no matter the input x the output is always equal to 0.2% because 0.2% is the only value defined in the range of the function.
[tex]f(1.5)=0.2\%=0.002[/tex]
Hope this helps.
whoever answers, i will give brainliest :)
This is due soon, pls help!
Answer:
69
98
Step-by-step explanation:
area= lenght*width
area= 5451
length= 79
which means that
5451=79*width
width=69
Preimieter= 2L+2W
302=2L+2(53)
302=2L+106
196=2L
L=98
Item is $449.00 I Have $27.00 saved how much do I need to save for 8 months to equal the $449.00?
Answer:
$56.25
Step-by-step explanation:
.
In Part C, you determined that the proper ratio of packages of buns, packages of patties, and jars of pickles is 3:2:4. If you want to feed at least 420 people, but also maintain the proper ratio, what minimum number of packages of buns, packages of patties, and jars of pickles do you need, respectively
Answer:
packages of buns = 1,260
packages of patties = 840
Jars of pickles = 1,680
Step-by-step explanation:
packages of buns = 3
packages of patties = 2
Jars of pickles = 4
Number of people = 420
Each person of the 420 people gets packages of buns, packages of patties, and jars of pickles in the ratio 3:2:4
packages of buns needed for 420 people = 3 × 420
= 1,260
packages of patties needed for 420 people = 2 × 420
= 840
Jars of pickles needed for 420 people = 4 × 420
= 1,680
packages of buns = 1,260
packages of patties = 840
Jars of pickles = 1,680
To feed at least 420 people minimum number of packages of buns, packages of patties, and jars of pickles needed is 1,260, 840, 1,680 respectively.
2. Select each correct answer. More than one answer may be correct.
Which of the following natural systems could be affected by agricultural runoff from a large, heavily tilled farm?
a river ecosystem 5 miles from the farm
a wetland ecosystem 500 meters the farm
a marine ecosystem 200 miles from the farm
a freshwater lake ecosystem 50 miles from the farm
Answer:
a wetland ecosystem 500 meters the farm
Step-by-step explanation:
This is because it is 500 meters near that farm which quiet close so it may get affected.
Answer: ALL OF THEM
Step-by-step explanation: It was on Study Island
A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the second course is 0.7. The probability she passes at least one of the courses is 0.79. Give your answer to four decimal places. a. What is the probability she passes both courses
Answer:
0.58 = 58% probability she passes both courses
Step-by-step explanation:
We can solve this question treating the probabilities as a Venn set.
I am going to say that:
Event A: She passes the first course.
Event B: She passes the second course.
The probability she passes the first course is 0.67.
This means that [tex]P(A) = 0.67[/tex]
The probability she passes the second course is 0.7.
This means that [tex]P(B) = 0.7[/tex]
The probability she passes at least one of the courses is 0.79.
This means that [tex]P(A \cup B) = 0.79[/tex]
a. What is the probability she passes both courses
This is [tex]P(A \cap B)[/tex].
We use the following relation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]
0.58 = 58% probability she passes both courses
Add the difference of 16 and 9 to the quotient of 12 and 3
Answer: 11
Explanation:
*difference* is the answer you get when subtracting,
so, 16-9
you get 7,
*quotient* is the answer you get when dividing,
so, 12/3
you get 4,
finally, you add 4+7
which is 11
Hope this helps! :D
Two small pitchers and one large pitcher can hold 14 cups of water. One
large pitcher minus one small pitcher constitutes 5 cups of water. How many
cups of water can each pitcher hold?
Answer:
ummmm im not sure but i think 7
Step-by-step explanation:
Can someone help me, please???
A moving company
travels 180 miles in 4
hours on Monday. At
this rate, how long
will it take them to
drive 270 miles?
Answer:
6 hours
Step-by-step explanation:
180/4 is 45 so we do 270/45 which is 6 hours
pls give brainliest haven't got one yet
QUICK HELP!
Add.
204.2 + 68.37
Plzzzzz help PLZZ asap!!!
Answer:
equation:- 180-42= x or 180-x= 42
x= 138°
Step-by-step explanation:
180-42= x
180-42= 138°
Find the rate of change in a table
Answer:
excuss me where the picture
Step-by-step explanation:
Integrate sin4xcos4xdx
Answer:
let t=sin4x
dt/dx= 4cos4x
t.cos4x*dt/4cos4x
t/4dx
t2/8
sin4x)2/8
what is 5.343/34.53*253
7003 divided by 5 show work :)
Answer:
1400.6
Step-by-step explanation:
7003 divided into 5 groups puts 1400.6 in each group
Answer:
1400.8
Step-by-step explanation:
5/7003
1. 7-5 (5 goes in once)
2. you can't do 2-5 so drop down the 0. (20)
3. 5 goes into 20 4 times. add the 4 to the top
4. put the zero in since it doesn't go with anything (it should look like 1400)
5. drop the 3 down but since 5 can't go in add a zero (and a decimal to your answer on top) - 1400.
6. 5 goes into 30, 8 times.
7. final answer: 1400.8
Multiply: (x+3)(x - 4)
What is the middle term in the simplified product?
O х
O -x
O 3x
O -4x
Answer:
-x
Step-by-step explanation:
(x+3)(x-4)
x^2-4x+3x-12
x^2-x-12
-x
Freee easy PIONT just ps there are 2 ez questions
Answer: ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Step-by-step explanation:
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill equally. Amy wants to leave a 20% tip for her portion. What is the total amount Amy should pay, including tip? Round to the nearest cent.
Determine the domain of the following graph:
Answer:
the domain is
-1 less than or equal to X greater than or equal to 7
I don't have the signs so I just underlined where you would put the sign.
I hope this helps.
Deandre is driving to Denver. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Deandre has miles to his destination after minutes of driving, and he has miles to his destination after minutes of driving. How many miles will he have to his destination after minutes of driving
Answer and explanation:
If distance to his destination(in miles) is a function of his minutes of driving(time) then the formula can suffice:
Distance = Speed × Time
if distance is 5 miles to his destination
Speed is 1 mile/hr
Time taken is 4 hrs or 240 minutes
Then Deandre would have 1 mile left to reach his destination after 240 minutes