Answer:
The domain of the function is {0,1,2,3,4} and the range of the function is {$33, $44, $55, $66, $77}
Step-by-step explanation:
Consider the provided information.
Sarah has sold $33 worth of tickets sales to the comedy show. She has 4 tickets left to sell at $11 per hour.
First write the function as shown.
Let the number of tickets are x and she already sold $33 worth of tickets.
Therefore the function is: [tex]f(x)=11t+33[/tex]
For t=0
[tex]f(0)=11(0)+33=33[/tex]
For t=1
[tex]f(1)=11(1)+33=44[/tex]
For t=2
[tex]f(2)=11(2)+33=55[/tex]
For t=3
[tex]f(3)=11(3)+33=66[/tex]
For t=4
[tex]f(4)=11(4)+33=77[/tex]
Hence, the domain of the function is {0,1,2,3,4} and the range of the function is {$33, $44, $55, $66, $77}
Suppose you had to find 4 x 57. How are the expanded algorithm and the standard algorithm alike? And how are they different?
The expanded algorithm and the standard algorithm are both methods used to multiply two numbers, but they differ in how the calculations are organized and performed.
Explanation:The expanded algorithm and the standard algorithm are both methods used to multiply two numbers. They are alike in that they both involve multiplying the digits of the numbers together and then adding the products. For example, in the problem 4 x 57, both algorithms would multiply 4 by 7, then by 5, and then add the products together.
The difference between the two algorithms lies in the way they organize the calculations. The expanded algorithm separates the numbers into place values (ones, tens, etc.) and performs the multiplication and addition step by step. The standard algorithm, on the other hand, stacks the numbers vertically and performs the multiplication and addition in a more condensed and efficient way.
Overall, the expanded algorithm is often used as a stepping stone to understanding the concept of multiplication, while the standard algorithm is the more efficient method commonly used in practice.
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A number n is multiplied by 3. The result is the same as when n is divided by 3. What is the value of n
When 2246 is subtracted from twice a certain number, the result is 10,000. What is the number?
The number is 6123.
Given,
When 2246 is subtracted from twice a certain number, the result is 10,000.
We are to find the number.
Let the number be M.
Now,
"When 2246 is subtracted from twice a certain number"
It can be written as:
2M - 2246
"the result is 10,000".
It can be written as,
2M - 2246 = 10,000
Now,
We have.
2M - 2246 = 10000
Solve for M.
2M - 2246 = 10000
2M = 10000 + 2246
2M = 12246
M = 12246 / 2
M = 6123
Thus the number is 6123.
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Last year there were 225 employees and 25 supervisors at Corpcon Company. If 27 more employees are hired, how many supervisors need to be hired in order to keep the same ratio?
Sarah and Rico both collect rocks. If Sarah has three times as many rocks as Rico, and she has 84 rocks, how many rocks does Rico have?
What Is 1/2 Divided By 2.29
A tailoring shop determines that for certain dress sizes it must use 4 3/8yd of fabric that is 45 in wide. To make the same dress with fabric that is 60 in wide, it needs 3 1/4 yd. convert 4 3/8 and 3 1/4 to fraction notion.
A running club has 270 members. There are 25% more men than women in the running club.
a) How many men are in the running club?
b) 40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
Three friends spent 42 hours painting a neighbor’s house. John painted 1/3 of the time, Lenny worked 3/7 of the time, and Abby painted the rest of the time. how many hours did each friend paint? What would happen If another friend joined them, and they divided the work up evenly among them, how much more, or less, would John, Lenny and Abby each have painted?
An investment is currently worth 1.035×108 dollars . Thirty years ago, the investment was worth 2.3×105 dollars. How many times greater is the value of the investment today than the value of the investment thirty years ago
What did the athlete order when he needed a huge helping of mashed potatoes? Unscramble the following letters: p, p, r, o, m, n, t, o, i. The answer would be a
_ ___ _______!?
Jefferson High School has a student body of 6⁴ students. Each class has approximately 6² students. How many classes does the school have? Write the answer as one power.
Aurelia is buying a new computer. The shipping cost is 8% of the purchase price. If Aurelia's as computer cost $585, how much will it cost to have it shipped?
The solution is $ 46.80
The cost of the shipping of Aurelia's computer is $ 46.80
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given as
Let the cost of Aurelia's computer be = $ 585
And , the percentage of cost of shipping Aurelia's computer = 8 % of cost of computer
So , the cost of shipping is given by the equation ,
Cost of shipping the computer = percentage of cost of shipping Aurelia's computer x cost of Aurelia's computer
Substituting the values in the equation , we get
Cost of shipping the computer = 585 x ( 8/100 )
Cost of shipping the computer = 585 x 0.08
Cost of shipping the computer = $ 46.80
Therefore , the value of A is $ 46.80
Hence , The cost of the shipping of Aurelia's computer is $ 46.80
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Suzanne bought 50 apples at the orchard. She bought 4 times as many red then green apples. How many more red then green apples did she buy.
Suzanne bought 30 more red apples than green apples.
Given that Suzanne bought 50 apples, which are 4 times as many red then green apples.
We need to find how many more red apples then green apples did she buy.
To find the number of red and green apples Suzanne bought, we can set up an equation based on the information given.
Let's assume that Suzanne bought x green apples. Since she bought 4 times as many red apples as green apples, she must have bought 4x red apples.
According to the problem, Suzanne bought a total of 50 apples. So we can write the equation:
x (green apples) + 4x (red apples) = 50
Combining like terms, we have:
5x = 50
To solve for x, we divide both sides of the equation by 5:
x = 10
Now we know that Suzanne bought 10 green apples. To find the number of red apples, we can substitute this value back into our equation:
4x = 4 × 10 = 40
Suzanne bought 40 red apples.
To find the difference between the number of red and green apples, we subtract the number of green apples from the number of red apples:
40 (red apples) - 10 (green apples) = 30
Hence Suzanne bought 30 more red apples than green apples.
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My numbers has two hundreds the tens digits is 9 more than the ones what is my number
Kip is using a recipe that calls for 1/4 cup of lemon juice. He has a 6-fluid-ounce bottle of lemon juice. There are 8 fluid ounces of lemon juice in 1 cup. How many batches of the recipe can kip make?
1 1/2 Batches
2 Batches
3 Batches
5 Batches
5 1/3 Batches
Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.
A cup is equal to 8 fluid ounces. If Kip has a 6-fluid-ounce bottle of lemon juice and the recipe calls for 1/4 cup, we need to convert 1/4 cup to fluid ounces. Multiplying 1/4 by 8 gives us 2 fluid ounces. So, Kip has 2 fluid ounces of lemon juice in the bottle. Now we can divide the total amount of lemon juice in the bottle by the amount required for each batch of the recipe, which is 2 fluid ounces. Therefore, Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.
Kali had some candy to give to her five children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many pieces did she start with?
Susan is buying supplies for a party. If spoons only come in bags of 8 and forks only come in bags of 6, what is the least number of spoons and the least number of forks she can buy so that she has the same number of each? asap and tell my how you got the answer please
Math help please!?!?!?!??!
find the middle integer if the sum of the greatest and the least of the three consecutive integers is 82
A real estate agent recieved a $17,500 commision on the sale of a $350,000 house on Walnut Street. The same agent recieved a $20,000 commission on the sale of a house on Center Ave. What was the sale price of the house on Center Ave? A: $100,000 B:$370,000 C: $400,000 D: $450,000
Answer:
Opton C: $400,000
Step-by-step explanation:
A real estate agent received a $17,500 commission on the sale of a $350,000 house.
We will calculate the percentage of the commission.
[tex]\frac{17,500}{350,000}\times 100[/tex]
= 0.05 × 100
= 5%
Let the value of the house on Center Ave be x
Therefore, 5% of x = $20,000
= 0.05x = 20,000
x = [tex]\frac{20,000}{0.05}[/tex]
x = $400,000
The sale price of the house on Center Ave is $400,000
Gary’s is a small publishing company that publishes math books. The production costs include a one-time cost for editing the book, which is $1,050 for the book the company is currently working on (The Universe of Math). Once the book is in production, the only cost will be the variable cost of printing, which is $15 per book. The company will market the book at a price of $35. If you were to plot a graph of the profit generated by this book, what would the slope and the y-intercept represent?
Answer:
The y- intercept is -1,050 and the slope of the graph is 20.
Step-by-step explanation:
Consider the provided information.
The slope intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y intercept.
The production costs include a one-time cost for editing the book, which is $1,050.
We need to find the y-intercept, here the y-intercept is the one-time cost of editing the book.
As we want to plot a graph of the profit so the cost will represented as negative.
Therefore, b = -1,050
Hence, the y- intercept is -1,050.
Now again consider the provided information.
The company will market the book at a price of $35 but it is given that the cost of printing, is $15 per book.
Thus, the slope is the difference of the selling price and production cost.
Or we can say that the slope is the profit per book sold.
Slope = m = 35 - 15 = 20
Hence, the slope of the graph will be 20.
The required equation of the graph is y=20x-1050
A batch of cookies requires 1 1/2 of sugar. How many batches can Ty make with 7 and 1/2 cups of sugar
an airplane that can hold 63 passengers is separated into 3 sections .each section holds the same number of passsengers write a division sentence to corectly describe the situation
the sum of the page numbers on the facing pages of a book is 69. what are the page numbers.
Any help on this one?
A tile pattern has 5 tiles in figure 0 and adds 7 tiles in each new figure. write the equation of the line that represents the growth of this pattern.
what is 46841 rounded to the nearest hundred
which property is shown by 6+9=9+6?
distributive property
commutative property of addition
identity property of addition
Associative property of addition
Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?