Answer:
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
Step-by-step explanation:
Given that:
Alexis charges $25 for each news story and $5 per picture.
Let,
n represent the number of news stories and p represent the number of pictures.
Alexis' total charges = [tex]25n+5p[/tex]
Paige charges $15 for each news story and $10 per picture.
The variables will be same.
Paige's total charges = [tex]15n+10p \\[/tex]
Alexis and Paige's charges will be added if newspaper hire them together.
Total charges paid by newspaper = [tex]25n+5p+15n+10p=40n+15p[/tex]
Hence,
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
A department store buys 100 shirts at a cost of $2,400 and sells them at a selling price of $30 each.
Find the percent markup.
Answer:
There is a 25% markup
Step-by-step explanation:
First find the original cost of each shirt
$2400/ 100 shirts
$24/ shirt
Mark up = ( new price - original price) / original price
= ( 30-24) / 24
= 6/24
= 1/4
= .25
25%
There is a 25% markup
Answer:
percent markup = 25%
Step-by-step explanation:
buys 100 shirts = $2400
buys 1 shirt = $2400/ 100
= $24
sells 1 shirt = $30
percent markup:
=[ ( selling price - bought price) ÷ bought price ] × 100
= [ (30-24) ÷ 24 ] × 100
= [ 6 ÷ 24 ] × 100
= 0.25 × 100
= 25 %
Write the ratio of height of the building to the number of floors. Then, find the unit rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is nothing. The unit rate is nothing. This means that each floor of the building is nothing ft high.
Answer:
144:9
16
16 ft high
Step-by-step explanation:
Easy...could also be written as 144/9 or 144 to 9
Divide
Same thing
Hope this helps. Have a nice day
how do i write and solve for this inequality
9514 1404 393
Answer:
-7/4 < x < 8
Step-by-step explanation:
The value of y can be determined from the sum of the angles, so you know each of the angles exactly. That means you know the ratio of side lengths exactly, which lets you solve for x exactly.
__
Setting that aside, we observe that angle C is greater than angle A, so side AB will be longer than side BC.
3x +15 > 4x +7
8 > x . . . . . . . . . . subtract 3x+7
We also know that the lengths of these sides must be positive. Since BC is the shorter side, we require ...
4x +7 > 0
4x > -7
x > -7/4
So, the allowable values of x are ...
-7/4 < x < 8
_____
More complete solution
If we read the figure correctly, the sum of angles is ...
(2y +12) +(4y +12) +(y -18) = 180
7y +6 = 180
y = (180 -6)/7 = 24 6/7°
Then (in degrees) ...
∠A = 2(24 6/7) +12 = 61 5/7, and ∠C = 4(24 6/7) +12 = 111 3/7
The Law of Sines tells us ...
AB/sin(C) = BC/sin(A)
sin(A)(3x +15) = sin(C)(4x+7)
x(4sin(C) -3sin(A)) = 15sin(A) -7sin(C)
x = (15sin(A) -7sin(C))/(4sin(C) -3sin(A))
x ≈ 6.1872652
Yo is this correct? A group of students go out to lunch. If four have burritos and two have tacos, the bill will be $19.00. If three have burritos and three have tacos the bill will be 17.25. Find the price of each burrito and taco
Answer:
The price of the burrito is $3.5 and the price of the taco is $2.5.
Step-by-step explanation:
2x+5y=19.5
5x+2y=22.5
------------------
5(2x+5y)=5(19.5)
-2(5x+2y)=-2(22.5)
-----------------------------
10x+25y=97.5
-10x-4y=-45
-----------------------
21y=52.5
y=52.5/21=2.5
2x+5(2.5)=19.5
2x+12.5=19.5
2x=19.5-12.5
2x=7
x=7/2=3.5
x=3.5, y=2.5
The price of the burrito is $3.5 and the price of the taco is $2.5.
Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
A. R = {-7, -1, 9, 17}
B. R = {-17, -9, -1, 17}
C. R = {1, 7, 9, 17}
D. R = {-7, 1, 9, 17}
9514 1404 393
Answer:
D. R = {-7, 1, 9, 17}
Step-by-step explanation:
Substitute the given values for x to see what the y-values are.
f(x) = 4x +9
f({-4, -2, 0, 2}) = 4{-4, -2, 0, 2} +9 = {-16, -8, 0, 8} +9
= {-7, 1, 9, 17} . . . . . matches choice D
Answer:
D. R = {-7, 1, 9, 17}
Step-by-step explanation:
D. R = {-7, 1, 9, 17}
Help me with these maths, thanks.
-Tornado
The required answer is -2.85.
Hope it helps!
Answer:
-2.85
Step-by-step explanation:
first take l. c. m
(-35-22)/20
and -57/20= -2.85
f(x)=3x+3, then f^-1(x)=
Answer:
f^ - 1 (x) = x/3 + 1/3 is not the inverse function of f(x) = 3x + 1
Step-by-step explanation:
F(x) = 3x + 1
Inverse:
x = 3y + 1
3y = x - 1
y = x/3 - 1/3 or f^ - 1 (x) = x/3 - 1/3
so
f^ - 1 (x) = x/3 + 1/3 is not the inverse function of f(x) = 3x + 1
A recipe for pie dough calls for a ratio of butter to flour of 1/4 : 5/6. If you plan to use 5 cups of flour, how much butter should you use to keep the same ratio?
Answer:1 2/4
Step-by-step explanation:
I don't have many points but I will give all my points can someone tell me the answer for both pls
Answer:
50. B51. -3x + y = 11Step-by-step explanation:
50......................................................................
Parallel lines have equal slopes.
Converting the given into slope-intercept form:
2x + 3y = 153y = -2x + 15y = -2/3x + 5Option B is the parallel line with different y-intercept
51.......................................................................
Perpendicular lines have negative reciprocal slopes.
Converting the given into slope-intercept form:
x + 3y = 153y = -x + 15y = -1/3x + 5Perpendicular line will have a slope of
m*(-1/3) = - 1 m = 3The equation will be:
y = 3x + bto find b using the given point (-2. 5)
5 = 3*(-2) + b5 = -6 + b5 + 6 = bb = 11So the line is:
y = 3x + 11or
-3x + y = 11 in standard formA self-service car wash has 3 individual car wash stalls. Customers wait in a single line before choosing the next available stall. 33 customers enter the car wash per hour and it take 5 minutes for each customer to wash their car. Customer arrivals and service times follow an exponential distribution. What type of queuing model is this process?
Answer:
single-channel, multi -phase
Step-by-step explanation:
The concept known as '' Queuing'' is not only important in the mathematical aspect alone but it is also useful in economic matters as signifies the abundance of resources that is when we have queues it means the reason for it is that the available resources is not enough.
From the question above we have that there are 3 individual car wash stalls, it is also given that the customers wait in a single line before choosing the next available stall. This means that there is only a single-channel.
Then, we have that from the single line initially, the queues then moves to multi -phase that is to 3 individual car wash stalls.
There’s 7 reds and 11 blues in the simplest form what is the ratio
Answer:
7 : 11 is the right answer
Sam is climbing 20 m every 20 minutes. How many meters will he climb in 1 hour?
sam will climb 60m
Step-by-step explanation:
What is the graph function f(x)= x^2-7x+12/x-3
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The function simplifies to ...
[tex]f(x)=\dfrac{x^2-7x+12}{x-3}=\dfrac{(x-4)(x-3)}{(x-3)}\\\\\boxed{f(x)=x-4 \quad x\ne3}[/tex]
The graph has the appearance of a graph of the straight line y = x-4, but there is a hole where the function is undefined at x=3.
jason has 24.00.He wants to buy raffle tickets that cost 3.00 each.How many tickets can jason buy.Write an equation
Answer:
8 tickets
Step-by-step explanation:
to find how many raffle tickets Jason can buy,
Divide the prices
24 divided by 3
He can buy 8 tickets
Hello, can someone help?
Answer:Its B.
Step-by-step explanation:
If you take awa the sales tax it should be B. Sorry if it’s wrong tho.
Itś my Brotherś Algebra work, Law of Exponents. Please help! Thanks.
Answer:
(x^2)*y
Step-by-step explanation:
Answer:
x^2y
Step-by-step explanation:
2x4y4
2x−2y3(−x2)2
=
2x6y4
2x4y3
=
2x2y
2
=x^2y
THIS IS A QUESTION FROM MY FINAL EXAM PLEASE HELP
Which calculation and answer show how to convert 11/25 to a decimal?
Answer:
0.44
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Simplify (x - 4)(3x^2- 6x + 2).
Answer:
3x³ - 18x² + 26x - 8
Step-by-step explanation:
(x - 4)(3x²- 6x + 2) =
= x*3x² + x*(- 6x) + x*2 + (-4)*3x² + (-4)*(-6x) + (-4)*2
= 3x³ - 6x² + 2x - 12x² + 24x - 8
= 3x³ - 18x² + 26x - 8
A Question 2 (2 points) Retake question
Which ratios are equivalent to 10:4
04:10
5 to 2
14/35
thing
40/16
Answer:
5 to 2
Step-by-step explanation:
you divide both numbers by 2
30 POINTS AND BRAINLIEST TO CORRECT
A cellphone company charges a monthly rate of $55 for unlimited text and data and $0.50 per minute for phone calls. The bill for last month was $66. Write and solve an equation to find out how many minutes for phone calls were charged on this bill.
Solve- 55+0.50m = 66
-55 -55
0.50m = 11
0.50 0.50 cross out the 5´s
m=22
HELP ME PLZ
Peaceful Travel Agency offers vacation packages. Each vacation package includes a city and an airline. The agency offers 2 cities and 5 airlines to choose
from. How many different vacation packages do they offer?
Step-by-step explanation:
divide,pluss well read
A (n) = -6 + (n-1)(6)
Answer: 84
Step-by-step explanation:
Question requires finding the 16th term in this sequence:
= -6 + ( n - 1 )(6)
= -6 + ( 16 - 1) (6)
= -6 + (15 * 6)
= 84
A password hash function is applied 12 times to secure a password. If it takes 21 minutes to brute force one application of the hash with the available resources, how long will it take to brute force the password if the available resources are quadrupled.?
a. 21 minutes
b. 63 minutes
c. 210 minutes
d. none of the above.
Answer:
b. 63 minutes
Step-by-step explanation:
Given;
number of times the hash function is applied = 12
time taken to brute force one application, = 21 minutes
Apply proportion, bearing in mind that 4 available resources should take less time;
1 available resource ------- 21 minutes
4 available resources ------ x
Thus, x = 21 minutes / 4
When applied 12 times, the time should be [tex]\frac{21 \ minutes}{4} \ \times \ 12 \ = 63 \ minutes \\\\[/tex]
Therefore, the correct option is B, 63 minutes
Evaluate the question
Answer:
we conclude that:
[tex]\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=81[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}\:=\:x^{a-b}[/tex]
[tex]\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=\left(\frac{2}{54}\right)^{-\frac{4}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{\left(\frac{2}{54}\right)^{\frac{4}{3}}}[/tex]
[tex]=\left(\frac{1}{27}\right)^{-\frac{4}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]=\frac{1}{\frac{1^{\frac{4}{3}}}{27^{\frac{4}{3}}}}[/tex]
[tex]=\frac{1}{\frac{1^{\frac{4}{3}}}{81}}[/tex] ∵ [tex]27^{\frac{4}{3}}=81[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
[tex]=\frac{81}{1^{\frac{1}{3}}}[/tex]
[tex]\mathrm{Apply\:rule}\:1^a=1[/tex]
[tex]=\frac{81}{1}[/tex]
[tex]=81[/tex]
Therefore, we conclude that:
[tex]\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=81[/tex]
Johanna took $125 to the mall. She bought 5 shirts (s) that cost the same price. Which expression represents the amount of money, in dollars, that Johanna had after she bought the shirts?
Answer:
I think its something like: Money Leftover = 125 - (price of one shirt * 5)
Step-by-step explanation:
just use variables in the place of "price of one shirt" and "Money Leftover".
multiplying the price of one shirt by five since she buys 5 of the same shirt and subtracting that value from her budget will leave you with the amount of money she had left after the purchase.
Answer:
125-5s=money left over (s is the price of one shirt)
Step-by-step explanation: I hope this helps!
to make lemonade you need 6 lemons and 8 cups of water how many lemons do u need id u have 24 cups of water
Answer:
18
Step-by-step explanation:
3/4 of 8 is 6
so
3/4 of 24 is 18
or
8/4= 2
2x3= 6
so
24/4= 6
6x3= 18
Hope that helps!
Create an equivalant expression by combinning like terms
7+8a+5h-3-7a-5h-3-7a-5h-b
solve the equation by substitution y= 3x +4 y=3x-2
Given 1 in=2.54 cm, How many centimetres are in a foot? ( Write you answer in 3 significant figures.e.g..:2.54
Answer:
30.48 centimeters
Step-by-step explanation:
which of the following parent functions has a graph that could be described using these key attributes? NEED HELP ASAP
Answer:
im not sure but but try D
Step-by-step explanation:
:|