If 8 people can be seated at a dinner table, how many tables are required to seat 72 people?
Answer:
9
Step-by-step explanation:
Given that ,
8 people can be seated at a dinner table.This is the case of direct proportion where , when quantity increases , the other also increases. Here we can use unitary method.
=> 8 people can sit on 1 table
=> 1 person can sit of 1/8
=> 72 people can sit on 1/8 * 72 = 9 tables
Hence 9 tables is the required answer.A bottle of mayonnaise holds 500ml. How many litres is this?
Suppose we have a set of three buyers who are trying to buy homes from three sellers. Suppose that seller A charges 3 for their house, seller B charges 2 for their house, and seller C charges 1 for their house The valuations for the three buyers are as follows ordered by house number (so house a, then house b, then house c):
Buyer 1: A: 1 B: 3 C: 2
Buyer 2: A: 5 B:5 C: 5
Buyer 3: A: 5 B: 3 C: 2
Assuming that this set of prices is market clearing, provide the utility for each player in the transaction.
Solution :
As we can see from the following question that :
[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]
[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]
[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]
Now depending on the valuation that each buyer have on these three houses, they derive utility from it :
Buyer I
Valuation for house A, [tex]$V'_A=1$[/tex]
Valuation for house B, [tex]$V'_B=3$[/tex]
Valuation for house C, [tex]$V'_C=2$[/tex]
Utility that buyer I derives from :
House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]
House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]
As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.
Buyer II
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=5$[/tex]
Valuation for house C, [tex]$V^2_C=5$[/tex]
Utility that buyer II derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]
Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.
Buyer III
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=3$[/tex]
Valuation for house C, [tex]$V^2_C=2$[/tex]
Utility that buyer III derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]
The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.
Which measurement is closest to the area of the sign in square inches
Option C. The area ≈ 706.86
2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.
Answer:
No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.
Step-by-step explanation:
So we already know that 1 surving of soup is 275 milliliters.
We have 6 survings of this soup.
We need to see if these 6 servings will fit in a 1.5 liter jar.
To find the total amount of mililers, we must multipy this by 6:
275*6
=
1650
Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:
1650/1000
=
1.65
This number is greater than 1.5 liters, which is how much soup the jar can store.
So the answer is no, the 6 servings of soup cannot fit in the jar.
Hey all! Adobe here. I think that we should talk about After Effects 2021 and After Effects CC 2021. With BRAND NEW FEATURES, (And updates too). Don't miss out on the Spring Fling 2021 event with savings as $300. So why not get over to Adobe . Com today and get After Effects 2021 or After Effects CC 2021!
When factored completely, the expression p4 - 81 is equivalent to ....
1. (p2+9)(p2-9)
2. (p2-9)(p2-9)
3. (p2+9)(p+3)(p-3)
4. (p+3)(p-3)(p+3)(p-3)
Round to the nearest whole dollar: 2.89
Answer:
I believe it would be $3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Because 0.89 is greater than 0.5, we have to round up. Therefore, the answer is 3.
If this helps please mark as brainliest
Isaiah’s vegetable garden is `15` feet long by `5` feet wide.
He plans to increase the width and length of his garden and put a fence around it.
He writes this expression for the total amount of fencing:
(x+15) + (x+5) + (x+15) + (x+5)
Describe what `x` represents in this situation.
Answer:
Step-by-step explanation:
x is the quantity by which the original measurements of the garden is increased. For example: the original width is 5 ft and x is the amount by which this is increased.
x here is the added value in the width and length of his garden to increase the fencing.
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.
He wants to increase the width and length of his garden and put a fence around it.
He writes an expression for the same, we need to find what is x here,
(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,
So, simply we can say that, x here is the extra length and width.
The farmer added x to each width and the length to increase his fencing,
So, his new dimension will be = x+15 and x+5
So, the perimeter = 2(x+15+x+5)
Here, the perimeter is fencing =
= 2(x+15+x+5)
= x+15+x+5+x+15+x+5
Hence, x here is the added value in the width and length of his garden to increase the fencing.
Learn more about perimeter, click;
https://brainly.com/question/6465134
#SPJ3
Which events are mutually exclusive?
Answer:
2.option is the correct answer
There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against every other player exactly once.
If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.
Answer: 5
Step-by-step explanation:
Use the graphs below to help you answer the question.
Which is the best approximation to a solution of the equation ln x = x - 2
- 2
1
2
3
Answer:
Here we can not see the graph, so I will upload a new graph for this case.
To solve the equation:
Ln(x) = x - 2
We can first graph the equations:
y = Ln(x)
y = x - 2
And find the point where these graphs intersect.
In the graph we can see two intersects.
One (the first one) is near the point ( 0.15, -1.85)
And the other intersection is near the point (3.14, 1.14)
Then two possible values of x that are solutions of:
ln(x) = x - 2
are:
x = 0.15
x = 3.14
Two squares were used to form a figure. The side length of each square is shown.
8 m
What is the area of the part of the figure that is NOT shaded?
F 80 m2
G 16 m
H8 m2
J 48 m²
Answer:
i think the area if shadded region is 16m
Help I need HELP FAST I give brainliest.
IGNORE THIS TEXT: Which graph shows this solution set? y is greater than negative 2 and y is less than or equal to 2Answer options with 5 optionsA.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are filled in circles. Between negative 2 and positive 2, the number line is shaded. B.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are open circles. Between negative 2 and positive 2, the number line is shaded. C.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. Between negative 2 and positive 2, the number line is shaded. D.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. The number line is shaded to the left of negative 2 and to the right of positive 2. E.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is filled in circle. At positive 2, there is an open circle. The number line is shaded to the left of negative 2 and to the right of positive 2.
Answer:
The answer choice would be C
What is the slope of y<-3/4x-1
Answer:
-3/4
Step-by-step explanation:
In slope-intercept form, the slope is the coefficient of x.
What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...
Answer:
5029
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14
This indicates the sequence is arithmetic with sum to n term
= [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 215 and d = 14 , then
= [ (2 × - 215) + (46 × 14) ]
= 23.5 (- 430 + 644)
= 23.5 × 214
= 5029
helppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
perimeter is add up all the values on the sides
5+3+4=12
hope it helps :)
I need help i ant seem to find this out it is due tommorow.
Answer: the answer is 31.5
Step-by-step explanation:
u will need to 9.0 X 3.5 to get the naswer so its 31.5
why is solar power a renewable energy source
Answer:
Solar energy is a renewable resource, meaning it won't ever run out or be in short supply. ... Solar energy reaches us via the sun's rays, while fossil fuels come from ancient carbon-rich remains on earth. So, as long as the sun is shining, solar energy will be around.
Step-by-step explanation:
Consider the salt shaker shown.
5 cm
cm
What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.
Volume of Salt Shaker =
Answer:
Volume of salt shaker = 42.4 cm³ (Approx.)
Step-by-step explanation:
Given:
Height of salt shaker = 5 cm
Diameter of salt shaker = 3 cm
Find:
Volume of salt shaker
Computation:
Radius of salt shaker = Diameter of salt shaker / 2
Radius of salt shaker = 3 / 2
Radius of salt shaker = 1.5 cm
Volume of salt shaker = Volume of cylinder + Volume of Hemisphere
Volume of salt shaker = πr²h + (2/3)πr³
Volume of salt shaker = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³
Volume of salt shaker = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)
Volume of salt shaker = 35.325 + 7.068
Volume of salt shaker = 42.4 cm³ (Approx.)
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
A
Step-by-step explanation:
If you flip the picture over and look at it while it is upside-down, you can see that image A is the same shape.
Round off to two decimal places
27.305
Answer:
20 in place value of 2
hope it helped
Use the distributive property to find the equivalent expression. 9(2 + 3x) =
Answer:
9(2+3x)
9*2+9*3x
18+27x
Step-by-step explanation:
Which of the following gives the number of petals of the rose curve r=6cos 20 ?
(A) 1 (B)2 (C) 4 (D) 6
(E) 12
please include work
assalam o aalaikum
Step-by-step explanation:
1. At the Blue Jays game, Steven Matz (height = 1.2m) throws a baseball(140g) straight in
the air with 95N of force for 30cm.
1. What is the speed of the ball 2.4 m above the ground?
2. What is the maximum height of the ball (assuming no air resistance)?
find the degree measure of angle HRP?
Cooper Bank Ballpark charges 87 per ticket (t) and $3 to park. Good Foods
Ballpark charges $6 per ticket, and $10 to park. At how many tickets will the
total cost (c) be the same?
Answer:
13.33
Step-by-step explanation:
let p be park.
[tex]t+p = c\\\\t_{2}(x) + p_{2} = c[/tex]
[tex]\\(87)+(3) = 90\\\\(6)x+(10) = 90[/tex]
(6)x needs to make up 80 to get the total cost(c)
80/6 = 13.33
so x should be 13.33
Tristan spent 35% of his allowance on candy each week. If his weekly allowance is $10, How much is he spending on candy? Tristan spends on candy each week.
Answer:
he is spending 3.50 each week
Select the correct answer what are the x-intercepts of these quadric function g(x)=-2(x-4)(x+1)
SOMEONE PLEASE HELP ASAP!!
-missing angle-
What do I do?!
Answer:
156°
Step-by-step explanation:
2x + 4 + 24 = 180
2x + 28 = 180
2x = 180 - 28
2x = 152
x = 152 / 2
x = 76
The missing angle
= 2x + 4
= 2 ( 76 ) + 4
= 152 + 4
= 156°
I have a math problem.
Oranges cost 2.50 cents
How much did James pay for 8296 oranges
•ω• Hewo fren!
☆☆●◉✿Answer:✿◉●☆☆
20740
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
Since the oranges cost 2.50 cents each then the ratio would be 2.50 cents to 1 orange, 2.5:1. James is buying 8296 oranges so we would have to multiply the ratio by 8296 since the oranges increased. 1 × 8296 = 8296.
2.5 × 8296 = 20740. James paid 20740 dollars for 8296 oranges. (20740:8296 would be the ratio.)
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
{WHY SO MANY ORANGES ono}