A theater company charges $4.50 per ticket for people of all ages. If c represents the total number of children who bought tickets and represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Name the property shown by each statement.
1. 1 * (a+3) = a+3
2. (ab) c = c (ab)
3. m (nr) = (mn) r
4. 2p + (3q+2) = (2p +3q) + 2
5. 2t * 0 = 0
6. 0+ 2s = 2s
For 46 points...
1. Identity Property of Multiplication: [tex]\(1 \times (a+3) = a+3\)[/tex]
2. Associative Property of Multiplication: [tex]\((ab) c = c (ab)\)[/tex]
3. Associative Property of Multiplication: [tex]\(m (nr) = (mn) r\)[/tex]
4. Associative Property of Addition: [tex]\(2p + (3q+2) = (2p +3q) + 2\)[/tex]
5. Zero Property of Multiplication: [tex]\(2t \times 0 = 0\)[/tex]
6. Identity Property of Addition: [tex]\(0+ 2s = 2s\)[/tex]
1. Identity Property of Multiplication: [tex]\(1 \times (a+3) = a+3\)[/tex]
- The identity property of multiplication states that any number multiplied by 1 equals the number itself.
2. Associative Property of Multiplication: [tex]\((ab) c = c (ab)\)[/tex]
- The associative property of multiplication states that the grouping of factors does not affect the result of multiplication.
3. Associative Property of Multiplication: [tex]\(m (nr) = (mn) r\)[/tex]
- Similar to statement 2, this demonstrates the associative property of multiplication.
4. Associative Property of Addition: [tex]\(2p + (3q+2) = (2p +3q) + 2\)[/tex]
- The associative property of addition states that the grouping of terms does not affect the result of addition.
5. Zero Property of Multiplication: [tex]\(2t \times 0 = 0\)[/tex]
- The zero property of multiplication states that any number multiplied by 0 equals 0.
6. Identity Property of Addition: [tex]\(0+ 2s = 2s\)[/tex]
- The identity property of addition states that adding 0 to any number does not change the value of the number itself.
Complete question:
Name the property shown by each statement
1. 1 * (a+3) = a+3
2. (ab) c = c (ab)
3. m (nr) = (mn) r
4. 2p + (3q+2) = (2p +3q) + 2
5. 2t * 0 = 0
6. 0+ 2s = 2s
Jack has 5 craft sticks. He needs 4 times that number for a project.how many craft sticks does jack need altogether?
the charges for an international call made using the calling card for two phone companies are shown in the table. what is the length of a phone call that would cost the same no matter witch company is used?
Answer:
10 minutes.Step-by-step explanation:
We can express the charge made by the companies as equations.
The charge made by the Company A starts at 35 cents, and cost 3 additional cents per minute. We can write this as:
[tex]charge_A(t)= 35 \ c + 3 \ \frac{c}{min} * t[/tex]
where t is the length of the call in minutes. For the company B the charge starts at 45 cents, and cost 2 additional cents per minute. This is:
[tex]charge_B(t)= 45 \ c + 2 \ \frac{c}{min} * t[/tex].
Now. At what length t' the cost of the phone call is the same? We can write the condition as:
[tex]charge_A(t')= charge_B(t')[/tex]
this means:
[tex]35 \ c + 3 \ \frac{c}{min} * t'= 45 \ c + 2 \ \frac{c}{min} * t'[/tex]
doing a little work...
[tex]35 \ c + 3 \ \frac{c}{min} * t' - 35 \ c = 45 \ c + 2 \ \frac{c}{min} * t' - 35 \ c[/tex]
[tex]3 \ \frac{c}{min} * t'= 10 \ c + 2 \ \frac{c}{min} * t'[/tex]
[tex]3 \ \frac{c}{min} * t' - 2 \ \frac{c}{min} * t'= 10 \ c[/tex]
[tex] 1 \ \frac{c}{min} * t'= 10 \ c[/tex]
[tex] \frac{1 \ \frac{c}{min} * t'}{1 \ \frac{c}{min}}= \frac{10 \ c}{1 \ \frac{c}{min}}[/tex]
[tex] t'= 10 min [/tex]
And this is the length of time we are looking for.
A bowl contains 15 granola bars and 10 fruit bars.
What is the ratio of granola bars to fruit bars?
Enter your answer in simplest fractional form in the box
Answer
Find out the what is the ratio of granola bars to fruit bars .
To prove
As given
A bowl contains 15 granola bars and 10 fruit bars.
The ratio of the granola bars to fruit bars is written as .
[tex]\frac{Number\ of\ granola\ bars}{Number\ of\ fruits\ bars} = \frac{15}{10}[/tex]
Simplify the above
[tex]\frac{Number\ of\ granola\ bars}{Number\ of\ fruits\ bars} = \frac{3}{2}[/tex]
Therefore
[tex]the\ ratio\ of\ the\ granola\ bars\ to\ fruit\ bars\ be\ \frac{3}{2} .[/tex]
If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take
To roast a five-pound roast takes 187 minutes and 30 seconds at the same rate.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
A 4-pound roast takes 150 minutes
So,
4-pound ⇔ 150 minutes
Divide by 4 on each side,
1-pound ⇔ 150/4 minutes
Multiply by 5
5-pound ⇔ (150×5)/4 minutes
5-pound ⇔ 187.5 minutes
5-pound ⇔ 187 minutes and 30 seconds.
Hence "To roast a five-pound roast takes 187 minutes and 30 seconds at the same rate".
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A vase can hold 7 flowers. If a florist had 67 flowers she wanted to put equally into vases, how many flowers would be in the last vase that isn't full.
colton's recipe makes 2 dozen brownies. his recipe calls for 7/8 cup of vegetable oil. how much oil will colton need to make 6 dozen brownies?
Final answer:
Colton will need 2 5/8 cups of vegetable oil to make 6 dozen brownies. This is calculated by tripling the original required amount of 7/8 cup of oil needed for 2 dozen brownies.
Explanation:
Colton's recipe for brownies specifies that 7/8 cup of vegetable oil is needed to make 2 dozen brownies. To find out how much oil is required for 6 dozen brownies, we need to calculate the amount of oil for triple the original quantity since 6 dozen is three times 2 dozen. First, we set up a proportion where 2 dozen corresponds to 7/8 cup of oil.
Mathematically, we can find the amount of oil needed for 6 dozen by multiplying the amount of oil for 2 dozen by 3 (since 6 is three times larger than 2):
Multiply 7/8 cup by 3.
7/8 × 3 = 21/8 cups.
Convert 21/8 cups to a mixed number to get 2 5/8 cups.
Therefore, Colton will need 2 5/8 cups of vegetable oil to make 6 dozen brownies.
A bicycle cost $ 129.50. You pay $7.77 in sales tax. What is the tax rate?
If two sides of an isosceles triangle each measure 1/4 inch and the third side measures 3/8 inch what is the perimeter of the triangle
The result of subtracting 2 from its opposite is _____.
0
1
4
-4
Answer: it's four
Step-by-step explanation:
Answer:
its -4
Step-by-step explanation:
A paddle boat rents for $10 plus $8 per hour. How much does it cost to rent a paddle boat for h hours?
A bottle rocket experiences a 500 N force to the right and 300 N of air resistance to the left. Will it accelerate to the left, right, or not accelerate at all?
Write an expression for the calculation double 2 then add 5
2x + 5 is the expression for the calculation double 2 then add 5.
The given statement is double 2 then add 5.
We have to make an expression using this statement.
We will separate the statement into two parts.
- Double 2
- Add 5
We need to assume a number and let that number be x.
So first we need to double that number as 2x and add 5.
We have,
2x + 5
Thus 2x + 5 is our expression.
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mr. Scruggs got some money for his birthday he spent one fifth of it on dog treats that he divided the remainder equally among his three favorite charities
write the word sentence as an equation.
The quotient of two times a number k and -2.6 is 12\
The word sentence 'The quotient of two times a number k and -2.6 is 12' translates to the equation (2 × k) / -2.6 = 12. Solving for k gives k = -15.6.
The sentence describes 'the quotient of two times a number k and -2.6 is 12'. Quotient refers to the result of division. Therefore, the equation that represents this sentence is:
(2 × k) / -2.6 = 12
To find the value of k, you would multiply both sides by -2.6 and then divide by 2:
-2.6 × 12 = 2 × k => -31.2 = 2 × k
k = -31.2 / 2 => -15.6
Jan spent the day at the mall. She came home with $8.25. She spent $6.25 on earrings and 4 times that amountnon a shirt. How much money did she take to the mall originally?
If she spent $6.25 on earrings and 4 times that amount on a shirt. She take $39.50 to the mall originally.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that, Jan spent the entire day shopping. She brought $8.25 home. She spent $4 times that much on a blouse and $6.25 on earrings.\
We have to find the amount she take to the mall originally.
Suppose the total amount is x,
x=$8.25 + $6.25 + $6.25×4
x=25+14.5
x=39.50
Thus, if she spent $6.25 on earrings and 4 times that amount on a shirt. She take $39.50 to the mall originally.
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if a fish swims 7/8 of the depth of 32 foot deep lake, how many feet down did the fish swim?
The fish swam 28 feet down in the 32-foot deep lake.
To find out how many feet down the fish swam, we can multiply the depth of the lake by the fraction representing the proportion it swam.
The depth of the lake is given as 32 feet, and the fish swam 7/8 of this depth.
Multiplying 32 by 7/8:
32 * (7/8) = 224/8 = 28
Therefore, the fish swam 28 feet down in the 32-foot deep lake.
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Write 5 5/9 as a improper fraction
show one way to count from 82 to 512
To count from 82 to 512, you can do so by adding 10 to each preceding number starting from 82 until you reach 512.
Explanation:One way to count from 82 to 512 is to count by multiples of 10, which are also known as 'tens'. Begin by starting at the number 82 and adding 10 to get 92. Then, continue adding 10 to each resulting number. Continue this process until you reach the number 512. So, the sequence would look like this: 82, 92, 102, 112... until you eventually reach 512.
Note: This is just one simple method. Depending on the circumstances, you might want to count by other numbers. For instance, you could count by 20's or 50's. Each will yield a different number of steps, and some might be more efficient than others depending on the context.
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c − 3.5 ≤ 3.5 plz help me
what is the probability of drawing a penny without looking?
Use conversion factors to convert . Write the factor you used . 5 quarts to cups
To convert 5 quarts to cups, multiply 5 by the conversion factor of 4 cups per quart, resulting in 20 cups.
Explanation:To convert from quarts to cups, you need to use a conversion factor. The conversion factor for converting quarts to cups is 1 quart = 4 cups. Therefore, to convert 5 quarts to cups, you need to multiply the number of quarts by the conversion factor.
The calculation is as follows:
Start with the number of quarts you have, which is 5.Multiply 5 quarts by 4 cups/quart (since there are 4 cups in a quart).The calculation will be 5 × 4 = 20.Therefore, 5 quarts is equal to 20 cups.
the insect exhibit at the museum has 8 display cases with 417 insects in each case. write and solve an equation tov show how many insects are displayed at the museum.
What terms are also expressions (none some ore all)?
Answer:
Some
Step-by-step explanation:
Term and expression are two different concepts in mathematics. When numbers, symbols and operators are combined at one place to express or show some value, it is called expression. For example;
4y-3 or 3-1
It is an expression.
Where the term can be stated or defined as a single or smallest identity. Any number or variable or combination of them can be stated as term.
For example, if we take above expression 4y-3
4y-3, we can say that 4y is one term and 3 is second term.
Now the point to be noted here is, if you separately take 4y, it can be expressed as expression as well, because 4y is expressing value of something which is in accordance with the definition of expression.
the ratio of shoes sold to sandals was 8:5. If there were 72 sandals sold how many shoes were sold?
I WANT AM ASWER FAST NO TIME TO WAIT
Answer:
45
Step-by-step explanation:
cynthia's favorite clothing store is having a 30% off sale.what fraction represents 30%
PLEASE HELP FAST WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST
Estimate the quotient of 250.311 ÷ 4.65. Round the dividend and divisor to the nearest whole number.
simplify 7(2.3x10^11) and write in scientific
notation
Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale factor of 8/3. Elias says that will be a reduction because the scale factor is a fraction. Is he correct? Explain.
Answer:
Elias is not correct. The new rectangle will be an enlargement because the scale factor is greater than 1. To be a reduction, the scale factor must be between 0 and 1.
Scale factor less than 1 gives the expanded form of the figure so Elias is wrong.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
If the dimension of any figure is 2 units by using scale factor 2/1 it will become 2 × scale factor ⇒ 2 × 2/1 = 4
Similarly,
Scale factor 8/3 creates all dimensions by a factor of 8/3 = 2.67 so all dimensions will be going to expand.
Hence "Scale factor less than 1 gives the expanded form of the figure so Elias is wrong".
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