The hotel charge in city one is $767 and the hotel charge in city two is $2276.
Let x = the charge in 1st city before taxes and
Let y = the charge in 2nd city before taxes
The equation before taxes:
y = x ₊ 1500 ..eq(1)
The equation for total tax paid:
0.075x ₊ 0.055y = 700 ..eq(2)
Substitute equation 1 that is y value in equation 2.
0.075x ₊ 0.055(x₊1500) = 700
0.075x ₊ 0.055x ₊ 82.5 = 700
add the variables and subtract the constants.
0.805x = 700 ₋ 82.5
0.805x = 617.5
x = 617.5/0.805
x = 767
now substitute x value in equation 1.
y = 767 ₊ 1500
y = 2267
Hence the hotel charge before the tax in the first city was $767 and in the second city was $2267.
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Let f(x)=12x+7. Use algebra to find the inverse function f^-1(x).
Step-by-step explanation:
Replace x with y and y with x.
Then, try to isolate the y.
x=12y+7
x-7=12y
(x-7)/12=y
f^-1(x)=(x-7)/12
Chef Smith will be serving a breakfast banquet for 300 guests. Each guest will be served a two-egg
omelet. How many dozen eggs should Chef Smith order?
Answer: 50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
300(2) bcuz 300 guests and each person gets 2
600(12) bcuz 300(2) is 600 and a dozen is 12
=50
12y + 48 - 4y= 8(y - 6)
Prove that for all integers a, b, n, if n = a + b, then a ≤ n/2 or b ≤ n/2 using proof by contradiction.
From the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that all integers a, b, and n, if n = a + b, then a ≤ n/2 or b ≤ n/2. Let the value of a = 3 and b = 3 now the value of n will be:-
n = a + b
n = 3 + 3 = 6
a = 3, n = 6 then a ≤ n/2.
b = 3, n = 6 then b ≤ n/2.
Therefore, the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.
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Write an equation of the form y=a sin b x or y=a cos b x to describe the graph below.
Greetings from Brasil...
In a trigonometric function of Cosine, we have:
F(X) = ±A ± B.COS(MX + N)where
A = move the graph up or down
B = change the amplitude
M = change period
N = move the graph left or right without distorting it
According to the statement, we don't have A and N, so
F(X) = ± B.COS(MX)
According to the graph presented, we have:
B = amplitude = 2.5 = 5/2
period = π
detail that
Period = 2π/M
π = 2π/M ⇒ M = 2
As B = 5/2 and M = 2, then
F(X) = (5/2)COS(2X)(I used the cosine function, because in X = 0 Y will have a non-zero value, as we can see in the graph)
What are the solutions of this quadratic equation?
x² - 6x+2=0
OA.
O B.
OC.
2-3 ± √7
CD. 2-3 ± √11
-6 ± √7
x=3+√7
At the visitor center gift shop Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers both options leave him no change if Peter wanted to buy only postcards how many could he buy
Answer:
20
Step-by-step explanation:
Hope the picture helps
You keep subtracting until you get zero and you keep adding the same amount
If Peter wanted to buy only postcards, he could buy 2 postcards.
Given that,
Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers.
Both options leave him with no change.
Peter wants to buy only postcards.
Assume that the cost of a postcard is the same as the cost of a sticker.
In the first scenario,
Peter spends the same amount on postcards and stickers.
So, if he wanted to buy only postcards,
He could buy half the number of postcards he could buy in the first scenario.
Therefore, Peter would be able to buy 2 postcards if he wanted to buy only postcards.
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Kelsey made cupcakes to sell as a fundraiser for her trip to Washington DC.
She purchased one cupcake pan for $12. She calculated that the ingredients
cost her $0.25 per cupcake. She plans to sell the cupcakes for $0.75 each.
a. Write an equation that could be used to find the number of cupcakes
(x) she will need to sell to break even.
b. Solve the equation from part a. Explain how you know
is correct.
c. If she sold 184 cupcakes, what was her profit?
your answer
Answer:
a. 12= 0.50x
b. x=24 because if 0.5 times x is 12 then 12 *2 is x
c. 80$
Step-by-step explanation:
Its above.
Centre of rotation square
Answer:
Point of intersection of its diagonals
Step-by-step explanation:
Does 10x = 2.5x have one solution, no solutions, or infinite solutions, and why?
The values are different on both sides, this shows that the equation has no solution.
Equation and expressionLinear equations are equation that has a linear degree of 1. Given the expression below;
10x = 2.5x
You can see that the variable of "x" are on on both sides, hence we can cancel them out to have:
10x/x = 2.5x/x
10 = 2.5
From the result, you can see that the values are different on both sides, this shows that the equation has no solution.
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The linear equation has only one solution, which is x = 0.
How many solutions has the linear equation?
Here we have the linear equation:
10x = 2.5*x
Let's solve this to see how many solutions we have, if we subtract 2.5x in both sides we get:
10x - 2.5x = 0
7.5x = 0
The only solution of this linear equation is x = 0.
7.5*0 = 0
Then we can conclude that the equation has only one solution, which is x = 0.
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Which of the following is correct?
Group of answer choices
10 mg = 0.001 gm
1L = 1000 mL
1 mcg = 0.1 mg
1000L = 1 mL
Answer: 1L = 1000 mL
Step-by-step explanation:
1. 1 milligram (mg) is equal to 0.001 gram (gm), so 10mg = 0.01. The first choice is incorrect
2. 1 liter (L) = 1000 milliliter (mL) so the second choice is correct
3. 1 microgram (mcg) is equal to 0.001 milligram (mg), so the third choice is incorrect.
4. 1 liter (L) = 1000 milliliter (mL), so the fourth choice is evidently incorrect. (1000 L would be 1,000,000 mL)
If Thomas has 92 donuts and the box requires 3 donuts each box, once each donut is put in the boxes how many donuts would be left over?
Answer:
2
Step-by-step explanation:
Take 92 and divide by 3
3*30 = 90
92-90 = 2
There are 2 donuts left over
QUESTION 4
Which of these is not a very good example of a command economy?
a.)China
b.)Soviet Union
c.)United States during WWII
d.)United States today
(d) the Present United States is not a good example of a command economy.
A command economy is a crucial component of a political system in the economy in which the degree of output that is permitted and the prices that may be paid for goods and services are set by a central governing body. Most industries are owned by the public.
The principal alternative to a command economy is a free market b where supply and demand determine prices and output.
A communist political system includes a command economy, whereas capitalist countries have a free market.
Cuba, North Korea, and the former Soviet Union all have command economies. Up until 1978, when it started to shift to a mixed economy that combines communist and capitalist features, China maintained a command economy. A socialist market economy has been used to characterize its existing setup.
The central government of a country must possess and manage the means of production in a command economy, commonly referred to as a planned economy.
There is no private ownership of land or capital, or it is very restricted. Prices are determined by central planners, who also manage production levels and restrict or forbid competition in the private sector. There is no private sector in a command economy because all companies are owned by or under the supervision of the central government.
Government officials establish national economic priorities in a command economy, such as when and how to promote economic growth, how to share resources, and how to disperse the produce. This frequently takes the shape of a long-term plan.
Hence, the United States today is not a very good example of a command economy.
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Whats (500 x 2) divided by 2?
Answer:
500
Step-by-step explanation:
500*2=1000
1000/2=500
7
Yuki works at an aquarium. To clean a tank, she calculates of the tank's total volume, and
900
she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 L
of cleaning solution.
02/1
3
What is the total volume of the tank?
The total volume of the tank is 300L.
The volume of a 3D figure is the space that it occupies.
Here, we are given that Yuki adds cleaning solution that is 7/900 of the tank's total volume.
Let the total volume of the tank be V
We know that the cleaning solution required to clean this tank is 2 1/3 L
Firstly, we need to convert this mixed fraction into an improper fraction, Thus, 2 1/3 = (2*3 + 1)/ 3
= 7/3 L
Thus, we can make the following equation,
(7/900)* V = 7/3
V = 7/3 (900/7)
V = 900/ 3
V = 300
Thus, the volume of the tank is 300L.
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Your question was incomplete. Check for full content here-
Yuki works at an aquarium. To clean a tank, she calculates 7/ 900 of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 1/3 L of cleaning solution. What is the total volume of the tank?
Answer:
300L
Step-by-step explanation:
Just did it on Khan academy.
If a ball is thrown upward at 96 feet per second from a height of 12 feet, the height of the ball can be modeled by S=12+96t- 16t² feet,
where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 152 feet?
It takes seconds for the ball to reach the height 152 feet.
Answer:
2.5 & 3.5
Step-by-step explanation:
152 = 12+96t- 16t²
140+96t- 16t²=0
152 = 12+96t- 16t²
4t²-24t+35=0
(2t-7)(2t-5)=0
t = 2.5 & 3.5
given f(x) = 4x+1
evaluate f(2)
f(2) = ?
evaluate f(-3)
f(-3)= ?
The value of the functions are:
f(2) = 9
f(2) = -11
Use the concept of fucntion defined as:
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
The given function is,
f(x) = 4x+1
Put x = 2 in the given fucntion,
f(2) = 4(2) + 1
f(2) = 9
Put x = -3 in the given fucntion,
f(2) = 4(-3) + 1
f(2) = -11
Hence, The functions,
f(2) = 9
f(2) = -11
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f is the function (x)-2x+5.
(a) Find (3)
(6) Express the inverse function f' in the form f'(x)-
g is the function g(x)-²-25.
(c) Find g(-3).
(d) (1) Find gfx)
r'(x)-
Give your answer as simply as possible.
(ii) Solve g(x)-0.
gf(x) -
(1)
8
e
(5)
The given functions can be solved using composition functions.
What is a composition function?Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = g f, is produced such that h(x) = g(f(x)). The function g is applied in this operation on the outcome of applying the function f to x.
function (x)-2x+5.
(a) f(3) = 2(3) + 5
= 11
(b) f'(x)
y = 2x + 5
y - 5 = 2x
x = y - 5 / 2
f'(x) = x - 5 / 2
g is the function g(x)-²-25.
(c) g(x)-²-25
g(-3) = (-3)² - 25
g(-3) = -16
(d) g(f(x)) = g(2x + 5)² - 25
= 4x² + 25 + 20x - 25
⇒ 4x² + 20x
r'(x) = 2x + 5
(ii) g(x) - 0
⇒ g(x)
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Drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number line graph. Two less than of a number (x) is no more than . The sum of two times a number (x) and -2 is at least 8. Seven subtracted from 4 times a number (x) is more than 13. Four added to 3 times a number (x) is less than 19.
in the figure, the first number line goes with x [tex]\leq[/tex]5
the second number line goes with x [tex]\geq[/tex] 5
the third number line goes with x > 5
the fourth number line goes with x < 5
Two less than 3/2 of a number x is no more than 5/2 is shown as:
3/2 x- 2 [tex]\leq[/tex] 5 1/2
3/2 x [tex]\leq[/tex] 11/2 + 2
3/2 x [tex]\leq[/tex] 15/2
3x [tex]\leq[/tex] 15
x [tex]\leq[/tex] 5
The sum of two times a number (x) and -2 is at least 8 is shown as :
2x+(-2) [tex]\geq[/tex] 8
2x - 2 [tex]\geq[/tex] 8
2x [tex]\geq[/tex] 8+2
2x [tex]\geq[/tex] 10
x [tex]\geq[/tex] 5
Seven subtracted from 4 times a number (x) is more than 13 is shown as
4x -7 > 13
4x > 13+7
4x > 20
x > 20 ÷ 4
x > 5
Four added to 3 times a number (x) is less than 19 is shown as
3x + 4 < 19
3x < 19-4
3x < 15
x < 15 ÷ 3
x< 5
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(a)A tram moved downward 21meters in 7 seconds at a constant rate. What was the change in the tram's elevation each second?
(b)In a lab, a substance was heated by 4 Celisse each hour for 40hours. What was the total change in temperature?
(a) The change in the tram's elevation (speed) each second is 3 meters/Sec
(b) The total change in temperature of the substance was 160 Celsius.
(a) The tram moves downward 21 meters in 7 second. So, the speed of the tram is 21/7 = 3 meters/Sec, which is the tram’s elevation each second.
We know that, speed = (total distance travel)/(Total travelling time)
(b) The substance was heated by 4 Celsius each hour for 40hours.
Therefore, the total change in temperature is = (4x40) = 160 celcius.
The degree Celsius is the unit of temperature on the Celsius scale, originally known as centigrade scale
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Answer:
(a) The change in the tram's elevation (speed) each second is 3 meters/Sec
(b) The total change in temperature of the substance was 160 Celsius.
Step-by-step explanation:
AP Calculus ab question: what is the derivative function, f'(x), using the definition of derivative for : f(x) = 3/(x+1)
Answer:
Solved using 2 different methods, used the definition of derivative aswell.
Select the expression that has a quotient greater than 1. Explain your reasoning PLEASE ANSWER THIS
1. 4 2/3 ÷ 5 1/4
2. 3 1/8 ÷ 2 2/5
3. 1 6/7 ÷ 2 1/3
4. 5 3/4 ÷ 7 3/8
The expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖
How to Solve Fractions?To solve each of the expressions involving fractions, convert mixed fractions into improper fractions before finding the quotient of each.
1. 4 ⅔ ÷ 5 ¼
Convert to improper fractions
14/3 ÷ 21/4
14/3 × 4/21
= 56/63 (less than 1)
2. 3 ⅛ ÷ 2 ⅖
Convert to improper fractions
25/8 ÷ 12/5
25/8 × 5/12
125/96 (greater than 1)
3. 1 6/7 ÷ 2 1/3
13/7 ÷ 7/3
13/7 × 3/7
= 39/49 (less than 1)
4. 5 3/4 ÷ 7 ⅜
23/4 ÷ 59/8
23/4 × 8/59
= 184/236 (less than 1)
Therefore, the expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖
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Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
Show less
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives? (Round per unit value to 2 decimal places.)
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
3a. Sales commissions per unit
3a. Number of units sold
3a. Total sales commission $0
3a. Fixed portion of sales representatives’ compensation
3a. Total direct selling expense $0
3b. The total indirect selling expense
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.
3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
3a. Sales commissions per unit is $1.30.
3a. The number of units sold is 14,000 units.
3a. Total sales commission is $18,200.
3a. Fixed portion of sales representatives’ compensation is $14,000.
3a. Total direct selling expense is $18,200.
3b. The total indirect selling expense is $14,000.
Data and Calculations:Relevant production range = 12,000 to 16,000 units
Production and sales units = 14,000 units
Average Cost
per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Direct cost per unit $13.40
Fixed manufacturing overhead $ 5.30
Total manufacturing cost per unit $18.70
Fixed selling expense $ 3.80 $53,200 ($3.80 x 14,000)
Fixed administrative expense $ 2.80 $39,200 ($2.80 x 14,000)
Total fixed costs per unit $6.60 $92,400 ($6.60 x 14,000)
Variable selling and admin:
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Total variable selling and admin per unit = $2.10
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).
3) Fixed selling expenses = $53,200 ($3.80 x 14,000)
Advertising expenses = $39,200
Sales Compensation = $14,000 ($53,200 - $39,200)
Sales Commission = $18,200 ($1.30 x 14,000)
Total Salespersons' compensation = $32,200
a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
3a. Sales commissions per unit is $1.30.
3a. The number of units sold is 14,000 units.
3a. Total sales commission is $18,200 (14,000 x $1.30)
3a. Fixed portion of sales representatives’ compensation is $14,000.
3a. Total direct selling expense is $18,200.
3b. The total indirect selling expense is $14,000.
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A small pizza has an area of
730
730730 square centimeters.
Write an inequality that describes
p
pp, the area of a pizza that is larger than a small pizza.
The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
What is inequality?
Inequality refers to the miracle of unstable and/ or unjust distribution of coffers and openings among members of a given society. The term inequality may mean different effects on different people and in different surroundings. The major exemplifications of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals admit better and further professional care compared to others.
From the information given, we have that;
Area of the small pizza = 730(seven hundred thirty) square centimeters
p = area of the larger pizza
In writing inequality, we have to use the signs
< less than
> greater than
Since p has a greater area, we have
730(seven hundred thirty) < p
Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
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Suppose you start at the origin, move along the x-axis a distance of 2 units in the positive direction, and then move downward a distance of 9 units. What are the coordinates of your position?
The coordinates of our position after moving up and down will be (0, -7)
We are given a coordinate plane and we are standing at the origin of the plane.
That is, our position is (0, 0).
Now, we move 2 units in the positive direction.
So, now our position will be:
(0, 2)
Then, we move downward a distance of 9 units.
So, our position will now become:
(0, 2 - 9)
(0, -7)
Therefore, the coordinates of our position after moving up and down will be (0, -7)
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Help me plsss this is my last oneeeree
Answer:
For the first question:
The fraction that comes after 0/3 is 1/3The fraction that comes after 1/3 is 2/3For the second question:
The fraction that comes after 0/6 is 1/6The fraction that comes after 1/6 is 2/6The fraction that comes after 2/6 is 3/6The fraction that comes after 3/6 is 4/6The fraction that comes after 4/6 is 5/6Step-by-step explanation:
Hope it helps! =D
Solve for m
m + k ÷ h = w
Literal Equations
Answer:
m+k=hw
m=hw-m
always conside BODMAS rule and subject
Please answer quick!!! TYSM!
Answer:
10
Step-by-step explanation:
[tex]x=0 \implies x\in \{-15, -12, 0, 10\} \\ \\ \therefore f(0)=11-|0-1|=10[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer: Why is the question blank
Also the answer is 5.2
Step-by-step explanation:
i need help asap please
Answer:Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)
Step-by-step explanation:
we know that
The rule of the translation is
(x,y) -----> (x-4,y+4)
That means ----> The translation is 4 units at left and 4 units up
Find out the coordinates of the pre-image
Observing the figure
J(1,0),N(5,0),M(5,-3),P(2,-5)
Find out the coordinates of the image
Applying the rule of the translation at the coordinates of pre-image
J(1,0) -----> J'(1-4,0+4)
J(1,0) -----> J'(-3,4)
N(5,0) ---> N'(5-4,0+4)
N(5,0) ---> N'(1,4)
M(5,-3)----> M'(5-4,-3+4)
M(5,-3)----> M'(1,1)
P(2,-5) ----> P'(2-4,-5+4)
P(2,-5) ----> P'(-2,-1)
therefore
The coordinates of the image (after the transformation) are
J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)
Answer:
:Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)
Step-by-step explanation:
My pleasure to help people