lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees
Answers
Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.
Since the amount of chocolate decreases as the number of attendees increase;
We use inverse variation to model the scenario :
y = k/x ; k = constant of proportionalityTaking any pair of points :
3000 = k/8
k = 3000 × 8
k = 24000
Hence, the constant of variation is 24000The variation expression is y = 24000/x This means that the total cost of organising the gettogether is to be shared equally among the attendeesTherefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.
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Related Questions
find the total tax to the nearest cent $58 bill; 20% tip
Answers
Answer:
$ 68 $ 58
Step-by-step explanation:
I'm not sure answer is $ 68 $ 58
ASAP!! Use the slope formula to find the slope of the line passing through the points ( -66) and ( 3,3) . Use pencil and paper. Find two more points that the line passes through.
The slope of the line is
Answers
Answer: y = -66x + 201
Step-by-step explanation:
If 2/15 is 40 then 1/15 is?
(Sorry I know this is a easy question but my brain isn't processing the question right now so I need help)
Answers
Answer:
20
Step-by-step explanation:
[tex]\frac{2}{15}[/tex] = 40
[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]
40 ÷ [tex]\frac{2}{1}[/tex] = 20
What is the meaning of the statement ((30) =76?
Answers
Answer:
A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F
B) [tex]f(x)=-0.4x+88[/tex]
Step-by-step explanation:
A)
In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.
So we have:
x = minutes after the air conditioner started to cool the house
f(x) = temperature
Here we want to find what is the meaning of
[tex]f(30)=76[/tex]
Which implies that:
[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house
[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F
So, the interpretation of f(30) =76 is that:
"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"
B)
Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.
We know the following information:
- At time x = 0, the temperature inside the house is 88°F
- At time x = 30 min, the temperature inside the house is 76°F
We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:
[tex]f(x)=mx+q[/tex]
where
[tex]q[/tex] is the value of the temperature at x = 0, so q = 88
m is the rate of change of the temperature
The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:
[tex]m=\frac{76-88}{30-0} =-0.4[/tex]
which means that the temperature decreases by 0.4°F every minute. So, the function can be written as
[tex]f(x)=-0.4x+88[/tex]
Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:
Answers
A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.
In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.
Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.
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Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip
Answers
Answer:
$31.92
Step-by-step explanation:
28.50 x .12 = 3.42
3.42 + 28.50 = $31.92
The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.
Let’s set up a proportion. We can substitute the amounts we know into the proportion.
Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.
Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.
ITO
Jacky starts biking to meet up with her friend. She knows that if she bikes at a speed of
10 mph he will be 3 minutes late for the meeting. Jacky also knows that if she bikes at a
speed of 12 mph, she will be there 2 minutes before they agreed to meet. How much
time does she have left before the appointed time?
Answers
Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
Recall :
Distance = speed × time Let time = tAt 10mph :
Distance = 10 × (t + 3) = 10t + 30 - - - (1)At 12 mph :
Distance = 12 × (t - 2) = 12t - 24 - - - - (2)Equate (1) and (2) :
10t + 30 = 12t - 24
Collect like terms
10t - 12t = - 24 - 30
-2t = - 54
Divide both sides by - 2
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
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Answer:
7
Step-by-step explanation:
Find the monomial if the expression is a cube of that monomial (find the cube root)
-27/64a^9b^6
-0.0001a^3n+3
I can't figure this out and need helppppppppp
Answers
Answer:
first one is -3/4a^3b^2
Step-by-step explanation:
i dont know the second one and i need help on that one too im sorry
The monomial of the functions are;
1. - 3/4 a³b²
2. - 0.1 aⁿ⁺¹
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
the expression are;
1. - 27/64 a⁹b⁶
2. - 0.001 a³n³ⁿ⁺³
Now,
Solve the expression as;
1. - 27/64 a⁹b⁶
Take cube root, we get;
∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²
= - 3/4 a³b²
And, - 0.001 a³n³ⁿ⁺³
∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹
= - 0.1 aⁿ⁺¹
Thus, The monomial of the functions are;
1. - 3/4 a³b²
2. - 0.1 aⁿ⁺¹
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30233088 in index form
Answers
Answer:
3.0233088 x 10 raise to power 7
how can you solve this (3/4 - 1/5)
Answers
Answer:
11/20
Step-by-step explanation:
Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use the benchmark numbers -6 and 1, and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Answers to choose Please help me.
Answers
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Estimate -6.1(0.22)
Answer:
Use rounding to get -6(0.2), and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Step-by-step explanation:
Actual answer:
-6.1(0.22) = -1.342
Estimate answer:
-6 (.2) = 1.2
Answer:
A B D
Step-by-step explanation:
1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
1:
3:
6:
Answers
Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.
Step-by-step explanation:
Answer:
1: 18 3: 54 6: 108
Step-by-step explanation:
A triangle has 180 degrees.
You need to add up all the ratios 1+3+6
Then divide that by 180----> 180/10=18
Then multiply all the ratios by but answer(18)
1*18=18
3*18=54
6*18=108
Nicole was given a box of assorted chocolates for her birthday. Each night, Nicole
treated herself to some chocolates. There were originally 24 chocolates in the box and
Nicole ate 3 chocolates each night. Make a table of values and then write an equation
for C, in terms of t, representing the number of chocolates remaining in the box t
days after Nicole's birthday.
Number of Days After Nicole's
Birthday
Number of Chocolates Remaining in the
Box
0
1
2
3
Answers
Step-by-step explanation:
T | 0 | 1 | 2 | 3 |
C | 24 | 21 | 18 | 15 |
Rule:
To find a rule, we need to find 2 things- what T is multiplied by and what is added.
To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.
To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.
We write a rule as: y = mx + c, or in this case, c = mt + a
So the rule is c = -3x + 24
order -9, -16, -13, 0 from least to greatest
Answers
Answer:
_16,-13,-9,0
Step-by-step explanation:
hope this helps u out!!
I need help with these two questions!! HELP
Answers
Answer:
AB and GF are skew
DH and BF are II
EF and HG are skew
ABCD and EFGH are II
Step-by-step explanation:
II is parralell or side by side.
Skew would be like intercepting with one another.
Have an awesome day! :D
A cubed shaped water tank has a volume of 729 m3 , one of the walls on the inside will need to be painted, a gallon of paint will cover an area of 15 square meters, the paint can only be bought by the gallon (you can’t buy part of a gallon), how many gallons of paint will be needed to paint one of the walls?
Answers
Answer: 33 gallons
Step-by-step explanation:
The water tank is a cube, with one dimension of x meters. Its volume will be x^3.
X^3 = 729m^3
x = 9 meters. The cube has 4 side walls and a top and bottom, for a total of 6 interior walls. Each wall has an area of x^2, or 81 m^2.
(6 walls)*(81 ft^2) = 486 m^2
One gallon of paint will cover 15 m^2. The conversion factor is (1 gallon/15 m^2)
(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons
(ASAP) i also need help with this plss
Answers
Answer:
The right answer is 32
Step-by-step explanation:
3/4 × 32 = 24
Answer:
18
Step-by-step explanation:
divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18
how can i solve this
Answers
Answer: Ill show you some not everything so u can try
Step-by-step explanation: for example 8+y=92
you can make a new problem...
move the 92...
92
subtract
92-
subtract the other number which isnt the variable
92-8
subtract and you get your answer!
Step-by-step explanation:
an equation means that whatever is on one side of the "=" sign is truly equal to whatever is on the other side.
it is like a balance.
you can change the content on one side of the balance, but then you have to make the same change on the other side of the balance. otherwise the balanced relation between both sides is destroyed. and it is no longer an equation.
for the same reason, you can perform any mathematical operation on an equation, as long as you do it simultaneously on both sides.
all these equations are equations with one variable.
so, if we find a way to bring all terms with the variable to one side, and everything else (typically constant numbers) to the other side, while still maintaining the equation relation, then we can solve this by saying "this is only an equation, if the variable has this is that value".
and that is the whole trick.
so, for e.g. t + 3 = 5, how can we get only the variable on one side ? well, the "+ 3" is disturbing, so we subtract 3.
and to keep the balance, we need to subtract 3 on both sides.
that gives us then
t + 3 - 3 = 5 - 3
t = 2
and boom ! the equation has solved itself right in front of our eyes.
and the same thing for all the other equations.
find what is the disturbing additional term on the side of the variable, then get rid of it (and repeat that exact action on the other side) and see what is left on the other side. and you have solved the equation.
that works in every direction like
n + 22 = 5
n + 22 - 22 = 5 - 22
n = -17
12.5 = 7.4 + z
12.5 - 7.4 = 7.4 - 7.4 + z
5.1 = z or
z = 5.1
remember, it is an equation like a balance. you can switch the balance bowls from left to right and right to left, and still they are in balance.
I WILL GIVE BRAINLIEST
Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)
Answers
Answer:
Step-by-step explanation:
(a) 2x + 4 (x - 1) = 2 + 4x
2x +4x - 4 = 2 + 4x
6x -4 = 2 + 4x
2x = 6
x = 3 One solution
(b) 25 - x = 15 - (3x + 10)
25 - x = 15 - 3x - 10
2x = 15 - 25 - 10
2x = -20
x = -10 One solution
(c) 4x = 2x + 2x + 5 (x - x)
4x = 4x + 5x - 5x
0 = 0
No solutions
types of vertical mirrors
Answers
Answer:
Rectangle.
Round.
Arched.
Novelty.
Square.
Oval.
Octagon.
Sunburst.
Hope this is what you're looking for :)
Brainliest please
How to multiply decimal numbers.
Answers
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation: Hope it helps!!!!
The sum of two numbers is x . If one of the numbers is 12, what is the other?
Answers
Answer:
x-12
Step-by-step explanation:
let us say that the other number is n. then we have n+12=x or n=12-x
HELP!!
Formula
Y=___x +___
Answers
Answer:
look at the slope rise of 2 run of -1 or other way around so slope is
[tex] y = - \frac{2}{1}x + 5[/tex]
Can y’all figure this out while I help my fam hang up a chrismus tree :)
Answers
sale 90%Luca buys a swing set during the sale. If the original price was $270, how much does Luca pay?
Answers
Answer:
$243
Step-by-step explanation:
Solve (x-1)(x+5)=0 using zero product property
Answers
Which general rule should you follow as you collect variable terms on one side of an equation?
Answers
Answer:
You should always Use addition or subtraction to separate the variable on one side of a equation.
Step-by-step explanation:
Explain why a step in solving the equation 4n= -36 is to divide both sides by 4. Then solve the equation
Answers
The correct value of ''n'' in this equation will be -9
Step-by-step explanation:In order to find the value of ''n'' in this equation of the first degree, just isolate ''n'', and divide the right side into the left side of the equation:
Resolution:[tex]\large \sf 4n= -36[/tex]
[tex]\large \sf n= -36\div4[/tex]
[tex]\large \sf n= \dfrac{-36}{4}[/tex]
[tex]\boxed{\boxed{{\large \sf n=-9}}}[/tex]
So we can conclude that the value of ''n'' in this equation will be -9
Which table is not a proportional relationship
Answers
Answer:
B and D
Step-by-step explanation
Answer:
D
Step-by-step explanation:
sequence in the earnings is unproportional difference between 27 and 54 is not 9Find the total surface area of this triangular prism.
Answers
Answer:
look at the photo.....................The surface area of the given triangular prism = 920 square cm.
In the given triangular prism
S1 = 25 cm
S2 = 25 cm
S3 = 14 cm = base
Height = 24 cm
length = 10 cm
Perimeter = S1 + S2+ S3
= 25+25+14
= 64 cm
Area of base = length x base
= 10x14
= 140 square cm
Since we know that,
Surface area of triangular prism = (Perimeter × Length) + (2 × Base Area)
= (64x10) + 2x140
= 640 + 280
= 920 square cm
Hence,
The required surface area = 920 square cm.
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