So on solving the provided question, we can say that by unitary method saving = 25 - 7.3333333336 = $17.6666666664
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
by unitary method,
12 pack of can, costs = $2
cost of 3 12 pack can - $2 *3 = $6
12 pack can = 12 days
1 can = $2/12 = $0.1666666667
8 can = $0.1666666667*8 = $1.3333333336
original cost of 1 can = $1.25
ordinal cost of 20 cans = $1.25*20 = 25
sale cost of 20 cans = $1.3333333336 + $6 = 7.3333333336
saving = 25 - 7.3333333336 = $17.6666666664
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what is the measure that is complementary to an 20 degree angle
the product of two consecutive integers is 90. Find the two integers then check your answer
Answer:
9,10 or -10,-9
Step-by-step explanation:
Let call the first integer n and the second integer n+1 since they are consecutive.
Since the product of the integer is 90 set up this equation
[tex]n \times (n + 1)= 90[/tex]
[tex]n {}^{2} + n = 90[/tex]
Subtract 90 to get it on the left side
[tex] n {}^{2} + n - 90 [/tex]
Apply quadratic formula
[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]
[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]
The roots are n= -10 and 9. We can use either root but let use a positve root
We are taking the positve roots
Plug 9 as n into n+1
[tex]9 + 1 = 10[/tex]
or
[tex] - 10 + 1 = - 9[/tex]
Janet, an experienced shipping clerk, can fill a certain order in 2 hours. Tom, a new clerk, needs 3 hours to do the same job.
Working together, how long will it take them to fill the order?
Answer:
1 hour and 15 minutes.
Step-by-step explanation:
Since Janet, an experienced shipping clerk, can fill a certain order in 2 hours, while Tom, a new clerk, needs 3 hours to do the same job, to determine how long will it take them to fill the order by working together you must perform the following logical reasoning:
Each of them will do half the work, so in principle, Janet will do her work in 1 hour, while Tom will do it in 1 hour and a half. Now, the remaining half hour that Tom has more than Janet can in turn be divided in two, with which each one will do their work in 15 minutes. Thus, the order will be ready in 1 hour and 15 minutes.
help and please explain will give brainliest
Answer:
2.83
Step-by-step explanation:
36 pi = pi×r×r×h
36=r×r×h
h= 4
36= r×r×4
8=r×r
[tex] \sqrt{8} = x[/tex]
r= 2.83
HALP!! DUE IN 10 MINUTES!!
Find k if the line y = kx-5 passes through the point (-6,14)
Answer:
-3 1/6
Step-by-step explanation:
14 = -6k - 5
6k = -19
k = -19/6 = -3 1/6
Using your linear function, find the distance traveled in 7 hours.
Answer:
Looking at graphs we count the distance at the side for every change point, imagine a distance going 10miles and then staying at 10 miles on the second hour we keep 10 miles and pick the next new number as the linear graph moves up.
We do not count any horizontal lines twice as this shows stationary journeys meaning constant time, we know time is always at the bottom of graphs and just count the points by matching each point to the distance until you get from 0-7 hrs across the graph.
We show the numbers also as they descend as this counts as positive hours too. A descent in miles is not a descend in hours so the mileage gets bigger if we are reading it left to right and slopes descend.
Step-by-step explanation:
y = 350 miles
count to see if they are more than 350miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 455 miles
count to see if they are more than 455miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 140 miles
count to see if they are more than 140miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 280 miles
count to see if they are more than 280 miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
Evaluate the expression.
1/7 divided by 2/5 - 1/7
Answer:
3/14
Step-by-step explanation:
In order to divide fractions, you'll have to find the recriprocal of 2/5. That is 5/2. So do 1/7 x 5/2 = 5/14.
So now find 5/14 - 1/7.
1/7 converted to a denominator of 14 is 2/14.
So we have 5/14-2/14 = 3/14. That is your answer.
The first thing that we should do is turn this into a mathematical formula.
[tex]\frac{1}{7} / (\frac{2}{5} -\frac{1}{7} ) = \frac{1}{7} /(\frac{9}{35} )[/tex] .
This is more generally written as
[tex]7(\frac{9}{35}) = \frac{9}{5}[/tex]
So, our answer is 9/5 or 1.8
Jace invested $67,000 in an account paying an interest rate of 5 5/8% compounded monthly. Joseph invested $67,000 in an account paying an interest rate of 6 1/4% compounded continuously. After 18 years, how much more money would Joseph have in his account than Jace, to the nearest dollar?
Answer:
$22395
Step-by-step explanation:
please solve this 2 step equation, thank you!
p - 9 / 3 = 2
Answer:
the answers is =5
A fishing store gives customers 10 new lures for every 2 fishing poles they buy. How
many lures would the store give to a customer who bought 8 fishing poles?
Answer:
40 lures
Step-by-step explanation
First, 10 for every 2 means multiplication. 2 goes into 8 4 times. 4x2=8
10 lures multiplied by 4 is 40.
I hope this helps! ツ
Find an equation of a line parallel to the line y = 3x – 3 that contains the point (6,4).
Write the equation in slope-intercept form.
#First u find the gradient first, remember that the formula of equation of the line is y=mx + c
y = 3x - 3
so the gradient (m) is 3
#Now u find the equation of the line
y - y1 = m(x - x1)
y - 4 = 3(x - 6)
y - 4 = 3x - 18
y = 3x - 18 + 4
y = 3x - 14
Answer : y = 3x - 142. Evaluate the expression when a = 3
2a + 8
Help PlEaSeEeE!!! This us late and as if right now summer school fir me
Step-by-step explanation:
When a = 3
2a + 8
= 2* 3 + 8
= 6 + 8
= 14
volume of a cylyinder witha heght of 2.3 and a base diameter of 15.2
WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!
Answer:
x<-2 or x>6
written as x<-2;x>6
Step-by-step explanation:
I need help this is a assignment question.
The length of a rectangular placemat
is 2/3 foot. If the area of the placemat
is 1/2 square foot, what is the width of
the placemat?
A. 1/3 foot
B. 1/4 foot
C. 3/4 foot
D. 4/3 foot
Answer:
c because its c its c and nothing but c
A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.
Enter your answer in the form: C = ahb + chw, where a, b, c are integers.
Answer:
3h² + 35hw ;
a = 3 ; b = 2 ; c = 35
Step-by-step explanation:
Given that :
Dimension of bookcase :
Height = h ; Length = 2h ; width = w
Area of backside :
Height * length
h * 2h = 2h²
Cos of back material = $1.5 per ft²
Cost = 1.5 * 2h²
Cost = 3h²
Top and bottom :
Length * width
2h * w
Side area = 3 * h * w
Total area : Top + bottom +. Side
Total area : 2hw + 2hw + 3hw = 7hw
Pine = $5 per sq foot
Total cost = $5 * 7hw
= $35hw
Entire cost, C
3h² + 35hw
From the format :
ah^b + chw,
a = 3 ; b = 2 ; c = 35
Please help it’s urgent
Answer:
1750 sq m
Step-by-step explanation:
100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m
how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5%
Answer:
1100 brainliest please
Step-by-step explanation:
1000×2×0.05=100
1000+100=110
pls help will give brainlest
Clara is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area? 8 in 5 in 60 in 4 in O A. 324 square inches B. 344 square inches O C. 276 square inches O D. 240 square inches
Answer:
A. 324
Step-by-step explanation:
60 x 4 = 240
8 x 8 = 64
1/2 x (5 x 8)= 20
Add them then you get 324
What’s the answer please help !!!!
at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
Which table represents a linear function?
Answer:
no lo se xd sorry
no la se jjgtubxdtjk
Eight hundred fifty two thousand, six hundred seventy four and thirty five hundredths in numbers
Answer:
Number = 857674.35
Step-by-step explanation:
Translating the word problem into a numerical format;
Eight hundred and fifty two thousand = 852,000
Six hundred and seventy four = 674
Thirty five hundredths = 35/100 = 0.35
Now, we would add all of the values together.
Number = 852,000 + 674 + 0.35
Number = 857674.35
What is equivalent to 1/3(x9x + 12) + 4x + 6
Answer:
1/3(9x+12)+4x+6=x
We move all terms to the left:
1/3(9x+12)+4x+6-(x)=0
Domain of the equation: 3(9x+12)!=0
x∈R
We add all the numbers together, and all the variables
3x+1/3(9x+12)+6=0
We multiply all the terms by the denominator
3x*3(9x+12)+6*3(9x+12)+1=0
Wy multiply elements
9x^2(9+18x(9+1=0
Step-by-step explanation:
Fill in the measures of the following angles and side lengths. All answers will be numbers.
Answer:
Step-by-step explanation:
BED=52
BAC=43
B=180-43-52=85
DE/8=15/12, DE=10
BC/15=9/10, BC=13.5
(9+EC)/15=9/10, 9+EC=13.5, EC=4.5
BD/10=12/15, BD=8
f(x)=−x 2 −4x−19 find f(-9)
Answer= Let f" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">ff be the function defined by
f(x)=x2−4x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">f(x)=x2−4xf(x)=x2−4x
for x≥2" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x≥2x≥2. Find the inverse function indicating its domain and the range.
When I try to make x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xx the subject I get +" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">++and −" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">−− two answers for the inverse function. Is it the proper answer? The answer I got is
x=2±y+4." role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x=2±y+4−−−−√.x=2±y+4.
Is it correct and how do I determine the domain and range of the function? Thanks
In the first quadrant, you start at (10,7)
and move 8 units left and 5 units up
What point will you end up on?
Answer: ( 2,12 )
Step-by-step explanation:
evaluate lim x=π/4(3x - tanx)
Answer:
[tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex] = [tex]3(\frac{\pi }{4} )[/tex]
Step-by-step explanation:
Explanation:-
Given that
[tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex]
= [tex]\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)[/tex]
= [tex]3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )[/tex]
= [tex]3(\frac{\pi }{4} )+ 1 )[/tex]
= [tex]3(\frac{\pi }{4} )[/tex]
Alice has 60 marbles. Forty five are red and the rest are black. what is the ratio of the number of black marbles to the number is f red marbles?
Answer:
15:45 (or 15 to 45)
Step-by-step explanation:
There once was a fantastic football player named Leyton Channing. People often criticized him for not being
tough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.
After analyzing data, however, statisticians determined that there was no association between Leyton winning
and Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.
Fill in the missing values from the frequency table.
Answer:
Find the missing values by using the formula:
= Row total * Column total/Grand total
Win Loss Row total
Normal Conditions 154 66 220
Harsh Conditions 14 6 20
Column Total 168 72 240
Win - Normal conditions: Loss - Normal conditions
= 220 * 168/240 = 220 * 72/240
= 154 = 66
Win - Harsh conditions Loss - Harsh conditions
= 20 * 168 / 240 = 20 * 72/240
= 14 = 6