After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
rotate 270 clockwise around the origin (8,0)(11,-5)(14,-2)
Drag and drop a phrase to make the statement true.
Triangles ABC and DEF are..
A. Similar triangles.
B. Not similar triangles.
The triangles ABC and DEF are similar
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔDEF
Now , the measure of ∠ABC = 35°
So , the measure of ∠ACB = 55° ( given ∠BAC = 90° )
And , the measure of ∠EFD = 55°
So , the measure of ∠DEF = 35°
And , the corresponding sides of similar triangles are in the same ratio
Hence , they are similar triangles
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sela's piano lesson starts at 4:45 pm the lesson is 30 minutes long when does her lesson ends
Answer:
Sela's piano class will end at 5 : 15 pm
Step-by-step explanation:
Sela's piano lesson starts at 4 : 45 pm.
If we have to calculate the time when her lesson ends we will add the duration of the class in minutes.
After 30 minutes time will be
4 : 45 + 00 : 30 = 4 : 75
Now we know 00 : 75 or 75 minutes means 1 hour 15 minutes
therefore, 4 : 75 will become 5 : 15 pm
Sela's piano class will start at 4 : 45 pm and end at 5 : 15 pm
Please help!! I really don’t know what this is
An invoice dated March 28 with terms 1/10, E.O.M. results in the end of the credit period on:
Answer:
April 10
Step-by-step explanation:
EOM (End Of Month) to receive a discount attached to the invoice when paying before the payment is due.
In this case, 1/10 means that there will be a 1% discount if the invoice is paid within 10 days of receipt.
But since the terms of credit are EOM, the 10 days are counted from the end of March, that brings us to April 10.
Therefore, an invoice dated March 28 with terms 1/10, E.O.M. results at the end of the credit period on April 10.
Hope this helps!
solve using the standard algorithm 649 x 53
To solve 649 x 53, use the standard algorithm by multiplying each digit and adding the results.
Explanation:To solve the multiplication problem 649 x 53 using the standard algorithm, follow these steps:
Multiply 3 (the ones digit of 53) by each digit of 649, starting from the right:3 x 9 = 273 x 4 = 123 x 6 = 18Write down each product with a placeholder 0 to the right:2712 018 0 0Add up the numbers:27+ 12 0+ 18 0 0---------= 34 3 9Therefore, 649 x 53 = 34, 3 9.
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a person who is at least 65 years old is often considered a senior citizen. Write an inequality that represents this situation
Use the Change of Base Formula to solve: 2^2x = 90. Round to the nearest tenth.
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?
A- 9(1 + 21)
B- 3(3 + 7)
C- 3(3 + 21)
D- 9(1 + 3)
Which pile has more pennies
it costs $150 to be a member of a music club. A member of the club pays $5 per music lesson. A nonmember pays $15 per music lesson. How many music lessons must a member and a non member take so the cost for each is the same?
The number of music lessons must a member and a non-member take so the cost for each is the same will be 15.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
It costs $150 to be a member of a music club. A member of the club pays $5 per music lesson. A nonmember pays $15 per music lesson.
Let x be the number of music. Then the equation is given as,
15x = 5x + 150
Simplify the equation, then we have
15x - 5x = 150
10x = 150
x = 15
The number of music lessons must a member and a non-member take so the cost for each is the same will be 15.
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what is the biggest number
7.1
7.1
7.11
7.101
The expression 3.14 x 10^3 is scientific notation for which of the following values?
A. 314
B. 3,140
C. 31,400
D. 314,000
The expression 3.14 x 10³ is scientific notation for B. 3,140.
What is meant by Scientific Notation?Scientific notation is a way of writing a large number or small number with many digits in a simpler form using the power of 10.
For example, 30,000 can be written as 3 × 10⁴.
So the given number is 3.14 x 10³.
The power of 10 has the number 3.
Hence the decimal point has to moved 3 decimal places to the right.
When it is moved to 1 place, it becomes 31.4.
When it is moved to 2 decimal places, it becomes 314.
When it is moved to 3 decimal places, it becomes 3140.
Hence the given expression is equivalent to 3140.
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which fraction is greater 17/30 or 27/35
To determine which fraction is greater, convert each to its decimal form. The comparison shows 27/35, which is approximately 0.7714, is greater than 17/30, which is approximately 0.5667.
Explanation:When comparing the fractions 17/30 and 27/35, it's helpful to find a common denominator or convert each to its decimal equivalent. To compare without finding a common denominator, you can convert each fraction to a decimal:
17/30 is approximately 0.5667,
27/35 is approximately 0.7714.
By comparing the decimal values, it's clear that 27/35 is greater than 17/30. Therefore, 27/35 is the greater fraction.
Michelle bought 76 pounds of cocoa powder for her bakery. Every day she used the same amount of cocoa powder to make bakery items. After 10 days, Michelle was left with 20.2 pounds of cocoa powder. On average, how many pounds of cocoa powder did Michelle use each day?
5.58 pounds
7.45 pounds
9.62 pounds
12.6 pounds
If it takes 6 hr. for a 2,400 mi. flight from Philadelphia to Los Angeles, what is the average speed of the plane?
Which values are solutions to the inequality –3x – 4 < 2? Check all of the boxes that apply.
-4
-2
0
3
it is c and d (edge)
To solve the inequality –3x – 4 < 2, subtract 4 from both sides and then divide by -3, we get x > -2. The values that satisfy this inequality are -4, 0, and 3.
Explanation:To solve the inequality –3x – 4 < 2, we need to isolate the variable x. First, we subtract 4 from both sides of the inequality: –3x < 6. Next, we divide both sides of the inequality by –3, but since we are dividing by a negative number, we need to flip the inequality sign: x > -2. Therefore, the values that are solutions to the inequality are greater than -2. Among the options provided, the values that are greater than -2 are -4, 0, and 3. Therefore, you should check the boxes next to -4, 0, and 3.
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Paloma used these steps to solve the equation 6x+5=3(2x+1)6x+5=3(2x+1). Which choice describes the meaning of her result, 2=02=0?
The given equation 6x + 5 = 3(2x + 1) has no possible solution.
What is a mathematical function, equation and expression?function : A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
6x + 5 = 3(2x + 1)
The given equation is -
6x + 5 = 3(2x + 1)
6x + 5 = 6x + 3
5 = 3
Therefore, the given equation 6x + 5 = 3(2x + 1) has no possible solution.
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A house painting company charges $376 plus $12 per hour. Another company $280 plus $15 per hour. A. how long is a job for which both companies will charge the same amount? B.What will the cost be?
Both companies will charge the same amount in 32 hours
From the information given, the equation to solve the question will be:
376 + (12 × h) = 280 + 15(h)
376 + 12h = 280 + 15h
Collect like terms
15h - 12h = 376 - 280
3h = 96
Divide both side by 3.
3h/3 = 96/3
h = 32
The amount charged will be:
376 + 12h = 376+12(32)
= 376 + 384
= 760
The amount charged will be $760
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what does this equal -12 = -3x -9
The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
(8.166×10^8)×(1.515×10^9)
Write a 3-digit number using the digits 5,9, and 2. Then write your number using words.
Need to show work for problem x+9.72=21
the line plot below shows how many points fewer trevor scored in 20 games. In how many games did trevor score 18 points fewer?
A vat contains 21.12 L of cleaning solution. Kenyon pours the solution into 0.44-L containers.
How many containers of solution does he create?
Answer:
48
Step-by-step explanation:
The amount of money that is left in a medical savings account is expressed by the equation y = -24x+ 379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?
y = amount left so y = 67
rewrite the equation as:
67 = -24x+379
subtract 379 from both sides
-312 = -24x
divide both sides by -24
x = -312 / -24
x = 13
the answer is 13 weeks
If you work for an hourly wage, your gross pay is a function of the number of hours that you work. Your hourly wage is $8 per hour. Assuming you work 40 hours per week, what is the practical domain and the practical range of the function? a. The practical domain is 0 through 8. The practical range is 0 through 32. b. The practical domain is 0 through 320. The practical range is 0 through 40. c. The practical domain is 0 through 40. The practical range is 0 through 320. d. The practical domain is 0 through 32. The practical range is 0 through 8.
Answer:
The correct option is C.
Step-by-step explanation:
It is given that gross pay is a function of the number of hours that you work.
Let y represents the gross pay and x represents the number of hours. So, the value of x and y can be negative.
Hourly wage = $8 per hour.
The weekly gross pay function is
[tex]y=8x[/tex] .... (1)
Domain is the set of inputs and ranges is the set of outputs.
It is given that you work 40 hours per week. It means the value of x lies between 0 to 40.
Domain = [0,8]
Substitute x=40 in equation (1), to find the gross pay when number of hours is 40.
[tex]y=8(40)=320[/tex]
Range = [0,320]
The practical domain is 0 through 40. The practical range is 0 through 320.
Therefore the correct option is C.
The practical domain for the function representing gross pay is the range of hours worked, 0 to 40 hours. The practical range is the corresponding gross pay, from $0 to $320, based on an $8 per hour wage for up to 40 hours of work. So correct answer is option C.
To determine the practical domain and range of the function that represents your gross pay based on an hourly wage of $8 per hour, we must consider the possible number of hours you can work in a week and the corresponding earnings. Given that you work 40 hours per week, the practical domain (which represents the number of hours worked) would be any value from 0 to 40 hours, since you cannot work negative hours and we're assuming a standard full-time workweek.
The practical range (which represents the gross pay) is calculated by multiplying the number of hours worked by the hourly wage. Therefore, the range would be 0 (if you work 0 hours) to $320 (if you work 40 hours), because 40 hours times $8 per hour equals $320.
So, the correct answer from the given options is Option C.
Practical domain: 0 through 40.
Practical range: 0 through 320.
Adam had a 5/7 liter of water he used water to fill a few glasses of water he used the water to fill a few glasses completely the capacity of each glass was 2/7 liter how many glasses of water did Adam fill ❓
Adam can fill 2 glasses of water completely with the 5/7 liter of water he has, as each glass holds 2/7 liter.
Explanation:The student asked how many glasses of water Adam could fill if he had 5/7 liter of water and each glass has a capacity of 2/7 liter.
To find out the number of glasses Adam can fill, we need to divide the total amount of water he has by the amount that each glass can hold. The calculation is as follows:
Total water (5/7 L) ÷ Capacity of one glass (2/7 L) = Number of glasses
5/7 L ÷ 2/7 L = 5/2 or 2.5. This means Adam can completely fill 2 glasses with a little water leftover, as we cannot have a half glass in a practical scenario.
Adam filled 2.5 glasses of water.
Explanation:To find the number of glasses Adam filled, we need to divide the total amount of water he had (5/7 liter) by the capacity of each glass (2/7 liter). So, we divide 5/7 by 2/7 to get the answer. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Therefore, (5/7) ÷ (2/7) = (5/7) x (7/2) = 35/14 = 2.5 glasses. So, Adam filled 2.5 glasses of water.