emma is planning a surprise party. She is considering using one of two venues. The banquet of hall A will cost $862 fot a reservation, plus $76 per dinner. The banquet of hall B will cost $75 per dinner, in addition to $894 for the reservation. In order to make the best decision , Emma figures out-How many guests it will take to have the venues cost the same amount? What woyld the total cost be? How many guest would it be?
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.
На первых трёх уроках Вася получил по одной оценке: 3, 4 и 5. Дома он сказал: " Пятерку я получил не на третьем уроке. А четверку получил на втором ". Потом оказалось, что оба раза Вася сказал неправду. На каком уроке Вася получил тройку?
"Пятерку я получил не на третьем уроке" - ложь. Значит, пятерку Вася получил на третьем уроке.
"Четверку получил на втором" - тоже ложь. Значит, четверку Вася мог получить на перовом или на третьем уроке.
Выше мы выяснили, что на третьем уроке он получил пятерку, следовательно, четверку Вася получил на первом уроке.
Свободны остались только второй урок и тройка.
Ответ: Вася получил тройку на втором уроке.
Tara runs an amusement park ride and needs to count the people who get on the ride. At the beginning of her shift, 132 people had ridden the ride. The table shows the total number of riders for several times during Tara's shift. Hours into
Tara's shift
0 1 2 3
Total number of riders
132 165 198 231
What is the equation in slope-intercept form that represents the total number of riders over time? Choose the correct expressions from the drop-down menus to create the equation in slope-intercept form.
y = (33x/132x/32x/23x) + (231/33/132/165)
(The things in the () are the answers and the "/" separates the answers) Please answer. I really do need help. And if you can, please tell me HOW you got the answer.
1. A local pizzeria sold 65 pizzas yesterday.
(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
To find the answer, you first need to find 20% of 65. So you Add this number, 13, to 65. This will give you the number you need, which is 78.
(b) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
A pipe leaks 3.5 gallons of water per hour. How long will it take for the pipe to leak 28 gallon of water
Can someone graph these equations for me quickly?
g + s = 425
g = s + 25
Graph both of them on the same graph
Consider the division problem 1/2 ➗ 3. Describe a situation this division could represent. Then draw a diagram to represent the division. Then find the solution.
The formula for dividing fractions.
= a/b ÷ c/d
= a/b x d/c
= (axd) / (bxc)
The 1/2 ÷ 3 situation that represents can be:
Half of the cake is left and the leftover cake is divided among 3 people.
The solution of 1/2 ÷ 3 is 1/6
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1/2 ÷ 3
This expression situation can be represented as:
Half of the cake is left and the leftover cake is divided among 3 people.
The formula for dividing fractions.
= a/b ÷ c/d
= a/b x d/c
= (axd) / (bxc)
The solution for 1/2 ÷ 3.
= (1/2) / 3
= 1/(2x3)
= 1/6
Thus,
The 1/2 ÷ 3 situation that represents can be:
Half of the cake is left and the leftover cake is divided among 3 people.
The solution of 1/2 ÷ 3 is 1/6
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A man comes into a store and steals $100 from the register without the owner knowledge. Comes back and buys $70 worth of stuff and the owner gives him $30 in change. How much money did the owner lose
Answer
The owner lose is $100 .
Reason
As given
A man comes into a store and steals $100 from the register without the owner knowledge.
Comes back and buys $70 worth of stuff and the owner gives him $30 in change.
i.e First man steals $100 than give back to owner when he buys $70 worth of stuff and the owner gives him $30 in change.
Therefore the total owner lose is the sum of $70 worth of stuff and $30 in change.
Total owner lose = $70 + $30
= $100
Therefore the owner lose be $100 .
Hence proved
. 14 is 40% of ...?
. 45 is 60% of ...?
. 60 is 40% of ...?
EXPLAIN to me how you got the answer
Help pls hello pls hello hello
what is the place value of the diget 6 in the decomal number 4.769
Ron walk 0.5 mile on the track in 10 minutes Stevie walk 0.25 miles on the track in six minutes find the unit rate for each walker in miles per hour who is a fast walker
what is the greatest common factor of 24 and 72
a square room has a tile floor with a hundred square tiles how many tiles are along the edge of the room
The number of tiles along the edge of a square room with a hundred square tiles is 10.
First, we need to recognize that a square room means all sides are of equal length. Since the room is tiled with square tiles throughout, the number of tiles along one edge will be the same as the other.
If there are a hundred square tiles in total, this represents the area of the square which is the product of the lengths of its sides (since the area of a square is given by side x side).
To find the length of a side, we take the square root of the total number of tiles. In this case, the square root of 100 is 10.
Therefore, there are 10 tiles along the edge of the square room.
X+4y=6 y=-x+3 solve each system of linear equations by substitution
The greatest common factor of 32a and 48b
Angelo says that if you know one unit rate in a proportional relationship, the other unit rate is always the multiplicative inverse of the unit rate you know. Is Angelo correct? Explain.
What are two ways to find the total cost of a pair of shoes for $57 with a sales tax of 2%?
Answer:
The total cost is $58.14.
Step-by-step explanation:
Given : A pair of shoes for $57 with a sales tax of 2%.
To find : What are two ways to find the total cost ?
Solution :
Cost price CP=$57
Sales tax S=2%
One way :
The total cost is given by,
[tex]C=CP+2\%\text{ of } CP[/tex]
[tex]C=57+\frac{2}{100}\times 57[/tex]
[tex]C=57+1.14[/tex]
[tex]C=58.14[/tex]
The total cost is $58.14.
Another way :
Using selling price formula,
[tex]SP=\frac{100+S\%}{100}\times CP[/tex]
[tex]SP=\frac{100+2}{100}\times 57[/tex]
[tex]SP=1.02\times 57[/tex]
[tex]SP=58.14[/tex]
The total cost is $58.14.
EXPLAIN how to find the LCM of 6 and 4
Use the distributive property to solve each problem 5x13
To solve 5x13 using the distributive property, we can distribute 5 to both terms inside the parentheses and simplify the expression.
Explanation:Using the distributive property, we can solve 5x13 as:
5x13 = (5 x 10) + (5 x 3)
= 50 + 15 = 65.
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Determine if each function is linear or nonlinear.
Select each function and put it in the correct column its suppose to go in. Ex: A is linear or non.
Linear:
Non-Linear:
A) y = x/2 - 19
B) 2y = x to the 2nd power
C) 13y = 1/3x + 5
D) y = x + √25
E) √y = x
Five less than the product of a number n and -6 is at least 8.
A) 5-(-6n)≥8
B -n/6-5≥8
C) -6n-5≥8
The required inequality is -6n - 5 ≥ 8. Option (C) is correct.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Given that,
When 5 is subtracted from the product of number n and -6 is at least 8.
The product of number n and - 6 = -6n
Subtract 5 from product of number n and -6 = -6n - 5
To write the inequality that shows that 5 less than -6n is at least 8,
Implies that, -6n - 5 can be grater than or equal to 8.
The inequality can be expressed as,
-6n - 5 ≥ 8
Hence, option (C) is correct.
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75 = 3 (-6n- 5) what is the answer
Nathan brought a pair of boots for $80 and 1 shirt for $20. the sales tax is 5%. how much did Nathan pay for all the items including tax ?
whats 40a-8 factorize
P-2+qp;use p=7, and q=4
In the given equation P-2+qp, when you substitute p=7 and q=4, the final result calculated is 33.
Explanation:The given equation is P-2+qp. In this expression, we are to use p=7, and q=4. Substituting these values in our equation, it becomes: 7 - 2 + 7 * 4. Now, let's simplify it further step by step. First, calculate the multiplication: 7 * 4 = 28. So, the expression becomes 7 - 2 + 28. Now, perform the addition and subtraction: 7 + 28 = 35; and then 35 - 2 equates to 33. So, when you plug p = 7 and q = 4 into the equation P-2+qp, the result is 33.
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Rachel and her cousin, Lena, live in different cities that are about 100 miles apart. On a map, the two cities measure 5 inches apart. What is the scale factor used for the map?
A fair coin is flipped 100 times and the results are recorded in the table below.
Which statement is correct?
A) The theoretical probability of the coin landing on heads is 7/20.
B) The experimental probability of the coin landing on tails is 1/2.
C) The theoretical probability of the coin landing on tails is 1/2.
D) The experimental probability of the coin landing on heads is 13/20.
Option C) is the correct statement as the Theoretical Probability of the coin landing on tails is 1/2
What do we mean by theoretical probability?Theoretical probability is the ratio of favorable outcomes to the total number of outcomes.
What do we mean by experimental probability?Experimental probability or empirical probability is based on a particular experiment using the same formula.
How do we determine probabilities by the question?Experimental probability of getting heads
= Frequency of heads/Total observations
= 35/100 = 7/20
Experimental probability of getting tails
= Frequency of tails/Total observations
= 65/100 = 13/20
The theoretical probability of getting a heads
= Favorable outcomes of getting heads/Total possible outcomes
= 1/2
The theoretical probability of getting a tails
= Favorable outcomes of getting tails/Total possible outcomes
= 1/2
When we cross-check with the options,
A) Incorrect, as the Theoretical Probability of the coin landing on heads = 1/2
B) Incorrect, as the Experimental Probability of the coin landing on tails = 13/20
C) Correct, as the Theoretical Probability of the coin landing on tails = 1/2
D) Incorrect, as the Experimental Probability of the coin landing on heads = 7/20
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a clothing store in the mall is having a sale. Everything in the store is on sale for 15% off. Julie is buying a t shirt that has a regular price of $24.80. How much will she pay for the t shirt.
What is a number that has 2 more tens than 50