Emma will need to invite 32 guests for both venues to cost the same amount, which will be $3,394 in total for either venue.
Emma is comparing the cost of two venues for her surprise party and wants to find out after how many guests the costs for both the venues will be the same, as well as the total cost at that point. To solve this, we can set up an equation where the total cost for both venues is equal, with x representing the number of guests.
Let's denote Hall A's cost with an initial reservation fee of $862 plus $76 per dinner as A(x), and Hall B's cost with an initial reservation fee of $894 plus $75 per dinner as B(x).
Therefore, we can write the following equation for the point where both costs are the same:
A(x) = B(x)
862 + 76x = 894 + 75x
After solving this equation for x, we find:
76x - 75x = 894 - 862
x = 32
So, Emma will have to invite 32 guests for the cost of both venues to be the same. At this number of guests, the total cost for either venue can be calculated:
Total cost for Hall A: 862 + 76(32) = $3,394
Total cost for Hall B: 894 + 75(32) = $3,394
Both venues will cost her $3,394 when hosting 32 guests.
A drama club earns $1040 from a production. A total of 64 adult tickets and and 132 student tickets are sold. An adult ticket costs twice as much as a student ticket. • write a system of linear equations that represents this situation. • what is the cost of each ticket?
The question is Model 24% on a 5x5 grid.
The attachment to the grids are below.
Answer:
Option 2 is correct .
Step-by-step explanation:
Given : A big cube 5*5 which contains small 25 cubes
Solution :
Let 25 small cubes denotes 100%
So , 1% is denoted by : [tex]\frac{25}{100}[/tex]
So, 24 % is denoted by :
⇒[tex]\frac{25*24}{100}[/tex]
⇒[tex]6[/tex]
Thus to show 24% on 5*5 , 6 small cubes must be shaded .
In Option 2 , 6 small cubes are shaded.
Hence , Option 2 is correct .
Answer:
Option 2 is correct .
Step-by-step explanation:
Given : A big cube 5*5 which contains small 25 cubes
Solution :
Let 25 small cubes denotes 100%
So , 1% is denoted by :
So, 24 % is denoted by :
⇒
⇒
Thus to show 24% on 5*5 , 6 small cubes must be shaded .
In Option 2 , 6 small cubes are shaded.
Hence , Option 2 is correct .
20 gallons is greater than or less than 75 quart
A 14-ounce box of cereal sells for $2.10. What is the unit rate?
Answer:
The unit rate is equal to [tex]0.15\frac{\$}{ounce}[/tex]
Step-by-step explanation:
we know that
The unit rate is the ratio of two measurements in which the second term is equal to one
In this problem to find the unit rate, divide the total cost of cereal by the total weight of cereal
so
[tex]\frac{2.10}{14}\frac{\$}{ounces} =0.15\frac{\$}{ounce}[/tex]
therefore
The unit rate is equal to [tex]0.15\frac{\$}{ounce}[/tex]
rearrange 2y-6x=10 into the form y=mx+c?
Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter, what is the total amount she earned?
Answer:
Here's what the equation would look like:
30(50) + 0.03(4596)
1500 + 137.88
Paige earned $1637.88
Step-by-step explanation:
The table shows the cost of renting movies online.
Number of Movies Cost
1 $3.99
2 $7.98
3 $11.97
4 $15.96
5 $19.95
What does the rate of change mean in this situation?
A) The cost increases $11.97 for every additional movie rented .
B) The cost increases $7.98 for every additional movie rented.
C) The cost increases $3.99 for every additional movie rented.
D) The cost increases $15.96 for every additional movie rented
The rate of change in the mean situation will be the cost increase of $3.99 for every additional movie rented. Hence, option C is correct.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Price of 1 movie = is $3.99
Price of 2 movies = $7.98 which is 2 times one movie
Price of 3 moves = $11.97 which is 3 times one movie and so on.
It means that the rate of increase in the price will be $3.99
To know more about arithmetic operations:
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11 less than three times a number is the same as 75 less than the product of -1 and the number
two 5th grader solve 400000 divided by 800 Carter said the answer is 500 while Kim said the answer is 5000:secont questions what if the problem is 4000000÷8000?what is the quotient
$105 skateboard; 7 1/2% tax
Aaron has a budget of $100 per month to spend on lunch. He made a table showing the total amount of lunch money he will have left after the given number of lunches.
Number of lunches 0 5 10 15
Total amount of lunch money left ($) 100 75 50 25
Which equation, in standard form, represents the relationship between the number of lunches, x, and the amount of lunch money Aaron will have left, y?
x + 5y = 100
100x + y = 5
x + 100y = 5
5x + y = 100
Answer:
its D
Step-by-step explanation:
how do you subtract fractions with whole numbers
Ester packed 9 boxes inside of a crate. Each box weighed the same amount. If the crate weighed a total of 92.16 kilograms, how much did each box weigh?
Bobbys collection of sports cards has 3/10 baseBall cards and 39/100 foo taller cards. THe rest are soccer cards. What fraction of bobby'se sports cards are baseballa or football cards?
Draw one row of two unit cubes stacked on top of another row of unit cubes
Answer:
umm can't draw on a phone...
what,are the first 5 multiples and all the factors of 48
Blueberries are on sale for $2.80 per pint. The regular price is $3.50 per pint.
What is the percent of decrease?
Select from the drop-down menu to correctly complete the statement.
Answer: The percent of decrease= 20 %.
Step-by-step explanation:
Regular price of blueberries= $3.50per pint
Current selling price=$2.80 per pint
Clearly, there is decrease in price as 'Current selling price' < 'Regular price'
Now, Decrease in price=Regular price-Current selling price
[tex]=\$3.50-\$2.80=\$0.70[/tex]
We know that Decrease percentage =[tex]\frac{\text{Decreased price}}{\text{Regular price}}\times100[/tex]
[tex]=\frac{0.70}{3.50}\times100\\=\frac{7}{35}\times100\\=\frac{1}{5}\times100\\=20\%[/tex]
Therefore, the percent of decrease= 20 %.
Each snack pack holds 20 crackers how many crackers in all are there in 4 snack packs
Fiona eats 75 grams of trail mix. How many calories does she eat? If 50 trail mix= 150
Final answer:
To find out how many calories are in 75 grams of trail mix when 50 grams contain 150 calories, set up a proportion and solve for x. The calculation shows that 75 grams of trail mix contains 225 calories.
Explanation:
If 50 grams of trail mix contains 150 calories, to find out how many calories are in 75 grams of trail mix, we need to set up a proportion since the relationship between the weight of the trail mix and the calories it contains is a direct one. This means that if the weight goes up, the calories will also go up by the same rate.
To calculate the calories in 75 grams of trail mix, we use the following steps:
Understand the given information: 50 grams = 150 calories.Set up a proportion to find out how many calories are in 75 grams:The model below can be used to find the quotient of 1/2 divided by 1/8 . What is the quotient?
A 1/16
B 2/5
C 2
D 4
17 - 2c for c = 7 what is the answer
The result of the expression 17 - 2c is 3, where c = 7.
What are Mathematical operators?
In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
An operator is a symbol used to represent a mathematical operation. Examples include division, multiplication, addition, and subtraction.
Given, an expression 17 - 2c and value of c = 7
The value os expression for c =7
=> 17 - 2*7
=> 17 - 14
=> 3
therefore, The value of the expression 17 - 2c for c = 7 is 3.
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how do you get the slope intercept of two points?
mitt ate 24 peanuts this represents 75% of the bag of peanuts how many peanuts were originally in the bag
A miniature horse weighs 268 fewer kilograms than a Shetland pony. How much do the Shetland pony weigh if the miniature horse is 56 kg
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(5)2 + (2)2 =
25 + 4 = C2
√100 = C
5.3 m. = C
Thus, the painter will need a ladder about 5 meters high.
hope this helps you
when you find less than 100% of a number how does your answer relate to the original number.... answers are the a) the numbers are equal b) it is less than the original number c) it is greater than the original number d) there is no relationship
b) it is less than the original number. Finding less than 100% of a number means the answer is b) less than the original number, since 100% represents the whole.
Explanation:When you find less than 100% of a number, the answer is b) it is less than the original number. This is because 100% of a number represents the number itself, so any percentage less than 100% means you're taking a part of the number which is smaller than the whole. For example, finding 50% of a number is the same as finding half of it - clearly, half of something is less than the whole.
at a zoo an asian elephants eats roughly 5% of its body weight each day.If an Asian elephant eats 300 pounds of food a day,How much does it way
A:1,500lb
B:6,000lb
C:18,000lb
D:120,00lb
Which expression demonstrates the distributive property applied to the expression 4(x + y)?
how do you turn a decimal into a fraction
janelle has 3.6 yards of wire, whice she wants to use to make bracelets. she needs 0.3 yard for each bracelet. altogether, how many bracelets can janelle make?