A company that makes barber scissors has found that the sales volume for barber scissors is directly proportional to the size of the sales force and inversely proportional to the price of the scissors. If 19440 pairs were sold in 2003, when there were 54 salespeople and the price was $20 a pair, what is the sales forecast for the upcoming year with 50 salespeople and a price of $18 a pair?
Answer:
20,000 pairs of barber scissors.
Step-by-step explanation:
The sales volume V for barber scissors is directly proportional to the size S of the sales force and inversely proportional to the price P of the scissors.
In other words, we can write that:
[tex]\displaystyle V = \frac{kS}{P}[/tex]
Where k is the constant of proportionality.
19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, V = 19440 when S = 54 and P = 20. Substitute and determine the value of k:
[tex]\displaystyle \begin{aligned} (19440) &= \frac{k(54)}{(20)} \\ \\ 19440 &= \frac{27}{10}k \\ \\ k &=\frac{10}{27}(19440) = 7200 \end{aligned}[/tex]
Hence, our equation is:
[tex]\displaystyle V = \frac{7200S}{P}[/tex]
We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, S = 50 and P = 18:
[tex]\displaystyle \begin{aligned} V&= \frac{7200(50)}{(18)} \\ \\ &= 20000\end{aligned}[/tex]
In conclusion, 20,000 pairs of barber scissors can be expected to be sold.
Pls help on the top question
Answer:
-13=5×1+5×4m-2m
-13=5+20m-2m
-13-5=18m
-18=18m
18m=-18
m=18÷18
m=1
Answer:
[tex]\frac{55}{4}[/tex]
Step-by-step explanation:
let the number be n the multiply by - 4 is - 4n and add 5 gives
- 4n + 5 = - 50 ( subtract 5 from both sides )
- 4n = - 55 ( divide both sides by - 4 )
n = [tex]\frac{-55}{-4}[/tex] = [tex]\frac{55}{4}[/tex]
The number is [tex]\frac{55}{4}[/tex] or 13.75 if you prefer
the degree of the polynomial -5 + 3x^6 + 2x^5 + 6x^3 is
Answer:
6
Step-by-step explanation:
As the highest power of x in the expression is 6, the degree is 6
Answer:
3x6+2x5+6x3−5
Standard Form
Step-by-step explanation:
HAVE A BLESS DAY :D
Which expression has a value of 13?
(12+6)÷3+3
12+6÷(3+3)
12+(6÷3+3)
(12+6)÷(3+3)
Answer:
Option b 12+6÷(3+3)
Step-by-step explanation:
12+6÷(3+3)
= 12+6÷6
= 12+1
= 13
Write a function C(t) to represent the cost of
renting a canoe for t hours. The rental charge
is $25 plus $2 for every 20 minutes of rental.
Find C(1.5) and describe its meaning.
Answer:
C(t)=25+2t
C(1.5)=25+2(1.5)=28
$28 for 1.5 minutes rent
A function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t and the cost for 1.5 minutes will be $28.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given that the rental charge is $25 plus $2 for every 20 minutes of rental.
The function formed for the given data will be:-
C(t)=25+2t
At 1.5 minutes the rent will be calculated as below:-
C(1.5)=25+2(1.5)=28
Therefore, the function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t, and the cost for 1.5 minutes will be $28.
To know more about the function follow
https://brainly.com/question/1942755
#SPJ2
The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is
Answer:
16
Step-by-step explanation:
50÷3=16R2
Second largest multiple of 3 that is smaller than 50=45
45÷3=15 groups of 3 people each
50-45=5
=1 group of 5 people
Greatest possible number of groups=15+1
=16
Tìm x để có 1 mệnh đề đúng và 1 mệnh đề sai : x<1/x
Answer:
x < 0 : 1/2 < 1 ÷ 1/2 ↔ 1/2 < 2 (đúng)
x > 0: 2 < 1/2 (sai)
Step-by-step explanation:
Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7
Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
f(x) = (x^2 - 7x + 10)*x * (x + 7)
f(x) = x(x^3 - 39x + 70)
f(x) = x^4 - 39x^2 + 70x
To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.
m−4=2m what does m= Please help
Answer:
-4
Step-by-step explanation:
you would subtract m from both sides to get -4=m
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
Answer:
450
Step-by-step explanation:
The total is 100 %
20% + 35% +15% = 70%
100-70 = 30
He saves 30%
1500 * 30%
1500 *.30
450
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
S O L U T I O N :Total Income = $ 1500
According to the question,
He spends 20% to his kids education
He spends 35% for food
He spends 15% for miscellaneous
Out of total income he spends 20% on kids education
So, amount spent on kids education = 20% of $1500
Amount = 20/100 × $1500
Amount = $300
Hence, money spent on his kids education is $300
35% is spent on food
Money spent on food = 35% of $1500
Money spent = 35/100 × $1500
Money spent = $525
Hence, money spent on food is $525
15% is spent on miscellaneous
Money spent on miscellaneous = 15% of $1500
Money spent = 15/100 × $1500
Money spent = $225
Hence, money spent on miscellaneous is $225
Now, adding all the three we get
$300 + $525 + $225
$825 + $225
$1050
Total money spent = $1050
Remaining money = $1500 - $1050 = $450
Remaining amount left with him is $450The algebraic expression for The quotient of 86 and x
Answer: 86 ÷ x or 86 / x
Step-by-step explanation:
A quotient is a number that results when one number is divided by another.
Therefore, in order to get the quotient, numbers or terms should process division which the final answer would be quotient.
In the process, [÷ ] or [/] the division signs shall be applied.
The quotient of 86 and x represents 86 divided by x, which the final result would be [tex]\boxed {86/x}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I believe the answer you are looking for is simply just 86÷x or 86/x.
help!! this is math.
Answer:
2,78,31,64,4-2,10-6,54,-97,-38,-8-7,-4-5,-11-1,-16(b) Eric removed 72 fish from his pond over a period of 9 days. He removed the same number of
fish each day, What was the change in the number of fish in the pond each day?
fish
FASTEST WIL BE THE BRAINLIEST
Answer:
-8
Step-by-step explanation:
72 ÷ 9 = 8
The fish are being taken out, so negative.
I hope this helps!
pls ❤ and mark brainliest pls!
What does x equal?
2x + 5x – 4= 17
Answer:
x = 3
Step-by-step explanation:
2x + 5x - 4 = 17 (Given)
7x - 4 = 17 (Simplify)
7x - 4 + 4 = 17 + 4 (Add 4 on both sides)
7x = 21 (Simplify)
7x/7 = 21/7 (Divide 7 on both sides)
x = 3 (Simplify)
work out the value of v°
Answer:
v+91=180(being co-interior angle)
v=180-91
v=89,
Answer:
Step-by-step explanation:
v°+120°+91°+(180°-155°)=360°
v°+236°=360°
v°=360°-236°
v°=124°
simplify each expression
Answer:
[tex] {x}^{ \frac{1}{2} } \times {x}^{ \frac{2}{3} } [/tex]
[tex] {x}^{ \frac{3 + 4}{6} } [/tex]
[tex] {x}^{ \frac{7}{6} } [/tex]
WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:
True or False-in scientific notation when you move the decimal point left is it positive.
Answer:
false.
Step-by-step explanation:
just cause you move a decimal point to the left dosent mean its positive.
Emma jogs 2 miles along the beach in 1/3 of an hour. If she travels at a constant rate, how far will she jog in an hour?
Answer:
6
Step-by-step explanation:
you do 2 times 3 because you 2 miles is only 1/3 and you want do get the answer for an hour so 2/3 is 6
Answer:
6 miles
Step-by-step explanation:
If emma jogs at a constant rate she will travel 6 miles in 1 hour.
1/3 of an hour times 3 equals 1 hour and the 2 miles every 1/3 times 3 will be 6
hope it helps
cos a/4= -1/4
cos a= ??
Answer:
cos a / 4 = -1/4
--->cos a =- 1
what is the sum for the 20th row and the 50th row
Answer:
Step-by-step explanation:
lkj
help me senpai...ahhhhh...plz.... someone
Answer:
The answer is 3/3 or 1
Step-by-step explanation:
I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1
When [tex]1^{-1}[/tex] = 1
[tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex]
= [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]
= [tex]\frac{3}{3}[/tex]
= 1
Hope that help :D
Preparing a glucose solution In a certain medical test
designed to measure carbohydrate tolerance, an adult
drinks 7 ounces of a 30% glucose solution. When the test is
administered to a child, the glucose concentration must be
decreased to 20%. How much 30% glucose solution and
how much water should be used to prepare 7 ounces of
20% glucose solution?
3.5 ounces hope this helps
The quotient of 31 and the product of a number and - 8?
Answer:
[tex]\frac{31}{-8n}[/tex]
Step-by-step explanation:
Overall, the expression is a quotient, and you're dividing 31 by whatever the product is of -8 and an unknown number (a variable). The product of -8 and a number means you multiply them together
In 2004 a certain oil company spent sh 1740000 on crude oil import .This was a 20%increase 0ver the money on crude oil import in 2003.
a) How much did the company spend on crude oil import in 2003.
b)What was the difference in the money spent on crude oil import in the two years?
Answer:
a = 1,450,000
b = 290,000
Step-by-step explanation:
A: 1,740,000 = x*1.20
1,740,000/1.2 = x1.20/1.20
1,450,000 = x
B: 1,740,000 - 1,450,000 = 290,000
8w-2=12w+6 both answers
Answer:
your answer is -2
I hope it's helps you
Answer:
[tex]8w - 2 = 12w + 6 \\ 8w - 12w = 6 + 2 \\ - 4w = 8 \\ w = \frac{8}{ - 4} \\ w = - 2[/tex]
I hope it helped U
stay safe stay happy
Which property is 5+ a = a + 5 ?
Select one:
O a. Commutative Property of Addition
O b. Identity Property of Addition
O c. Commutative Property of Multiplication
O d. Inverse Property of Addition
Answer:
[tex]commutative \: property \: of \: addition \\ thank \: you[/tex]
What was Veronica's speed if she drove 475 miles in 6 1/4 hours?
Answer: 76 mph
Step-by-step explanation: speed is distance divided by time so 475 : 6.25 = 76 (mph)
Answer:
76 mph
Step-by-step explanation:
To find the answer, you would divide the miles she drove: 475 by the amount of time it took to get there: 6 1/4 hours. Convert the fraction to a decimal: 1/4= .25 so your problem would look like this...
475 / 6.25 = 76
HELP ASAP!! THIS IS SLOPE INTERCEPT FORM AND I HAVE NO IDEA HOW TO TO DO PLEASE EXPLAIN
why are there three zeros in the product of 6 times 103
Answer:
There’s not
Step-by-step explanation:
It’s 618
Solve the following complex equation
18+22i=3x-2yi
Answer:
[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]
