A local elementary school is having a bake sale fundraiser. The students are selling 30 cupcakes, 10 pies, and 60 cookies. What is the ratio of the number of cupcakes to the total number of baked goods?
10:3
7:3
3:7
3:10
Answers
Answer:
3:10
Step-by-step explanation:
Solution to the question is in the attached picture.
Answer:
3:10 trust
Step-by-step explanation:
Related Questions
Oak pollen sent 21,000 people to U.S. emergency rooms for asthma in 2010. By 2090 the rate could climb another 5 or 10 percent. If true, what would the numbers then be Show your work.
Answers
The probable number of prople sent to US emergency rooms by 2090 can be between 22,050 and 23,100
Step-by-step explanation:
Total sent to US emergency room by 2010= 21000
The estimated increase in the rise of cases = 5 to 10% by 2090
Final numbers in 2090
Hence the final numbers in 2090 would be 5 to 10% more than the total cases in 2010
Lower limit= 5% of 21000= 1050
Hence lower limit of cases in 2090= 21000+1050= 22050
Upper limit of cases in 2090= 10% of 21000= 21000+2100= 23,100
The number would lie anywhere between 22050 and 23,100 in 2090
Select the TRUE statements.
For the function 48(1.25)x, the parameter for the growth factor is 1.25.
For the function f(x) = 75x + 250, the parameter for the beginning value is 75.
For the function 28(0.5)x, the parameter for the decay factor is 50%.
For the function y = 18x + 72, the parameter for the average rate of change is 18.
Answers
Answer:
a) For the function [tex]48(1.25)^x[/tex], the parameter for the growth factor is 1.25
c) For the function [tex]28(0.5)^x[/tex], the parameter for the decay factor is 50%.
d) For the function y = 18x + 72, the parameter for the average rate of change is 18.
Step-by-step explanation:
We are given the following in the question:
a) the parameter for the growth factor is 1.25.
[tex]f(x) = 48(1.25)^x[/tex]
Comparing it to
[tex]y(x) = a(1+r)^x[/tex]
The growth factor is
[tex]1+r = 1.25[/tex]
Thus, the given statement is true
b) the parameter for the beginning value is 75.
We are given the equation
[tex]f(x) = 75x + 250[/tex]
The beginning value is given when x = 0. Putting value, we get
[tex]f(0) = 75(0) + 250 = 250[/tex]
Thus, the beginning value is 250.
Hence, the given statement is false.
c) the parameter for the decay factor is 50%.
[tex]f(x) = 28(0.5)^x[/tex]
Comparing it to
[tex]y(x) = a(1-r)^x[/tex]
The growth factor is
[tex]1-r = 0.5 = 50\%[/tex]
Thus, the given statement is true
d) the parameter for the average rate of change is 18.
[tex]y = 18x + 72[/tex]
Comparing to general form of equation:
[tex]y = mx + c[/tex]
where m is the slope and gives the average rate of change.
Thus, the average rate of change is 18.
Hence, the given statement is true.
Which statement is true about the circumference of a circle? The circumference is equal to the radius of the circle. The circumference is equal to the diameter of the circle. The circumference is found by multiplying Pi by the radius. The circumference is found by multiplying Pi by the diameter.
Answers
Solution:
The circumference of a circle is given as:
[tex]\text{circumference } = 2 \pi r[/tex]
Where,
"r" is the radius of circle
We know that,
[tex]diameter = 2 \times radius\\\\d = 2 \times r\\\\d = 2r[/tex]
Thus the circumference can also written as:
[tex]\text{circumference } = 2 \pi r\\\\\text{circumference } = \pi \times d[/tex]
Thus, the circumference is found by multiplying Pi by the diameter is correct statement
The true statement about the circumference of a circle is: circumference is found by multiplying Pi by the diameter.
What is the Circumference of a Circle?A circle's circumference is it's perimeter.Given the diameter of the circle, d, the formula for finding the circumference of the circle is: πd.π is called pi.Therefore, the true statement about the circumference of a circle is: circumference is found by multiplying Pi by the diameter.
Learn more about the circumference of a circle on:
https://brainly.com/question/20489969
PLZ HURRY IT'S URGENT!!
What is the slope of the line that passes through the points (3, –1) and (–2, –5)? −54
−45
45
54
Answers
Option C: [tex]\frac{4}{5}[/tex] is the slope of the line
Explanation:
The line passes through the points [tex](3,-1)[/tex] and [tex](-2,-5)[/tex]
We need to find the slope of the line.
The slope can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are [tex](3,-1)[/tex] and [tex](-2,-5)[/tex]
Let us substitute the points in the formula
Thus, we have,
[tex]m=\frac{-5-(-1)}{-2-3}[/tex]
Simplifying, we get,
[tex]m=\frac{-5+1}{-2-3}[/tex]
Adding the numerator and denominator, we have,
[tex]m=\frac{-4}{-5}[/tex]
Cancelling the negative terms, we get,
[tex]m=\frac{4}{5}[/tex]
Thus, the slope of the line is [tex]m=\frac{4}{5}[/tex]
Therefore, Option C is the correct answer.
If f(x) = 2x - 4 and g(x) = x^2+3, find each value.
19. (f - g)(x)
20. (f • g)(x)
Answers
Step-by-step explanation:
[tex](f - g)(x) = f(x) - g(x) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2x - 4) - ( {x}^{2} + 3) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2x - 4 - {x}^{2} - 3 \\ \red{ \boxed{\therefore (f - g)(x) = - {x}^{2} + 2x - 7}}[/tex]
For a sample of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the sample mean and standard deviation?
Answers
Final answer:
The sample mean (μ) and standard deviation (σ) are calculated using the provided z-scores and corresponding sample values, resulting in a mean of 30 and a standard deviation of 10.
Explanation:
To solve for the sample mean and standard deviation using the given z-scores and sample values, we can employ the formula for calculating a z-score:
z = (X - μ) / σ
where X is the sample value, μ is the mean, and σ is the standard deviation. For X = 45 with a z-score of 1.50, the equation is:
1.50 = (45 - μ) / σ
For X = 40 with a z-score of 1.00, the equation becomes:
1.00 = (40 - μ) / σ
By solving these two equations simultaneously, we can find the values of μ and σ.
From the first equation, we have:
1.50σ = 45 - μ
From the second equation, we have:
1.00σ = 40 - μ
If we multiply the second equation by 1.5, it becomes:
1.50σ = 60 - 1.5μ
We can set the expressions for 1.50σ equal to each other:
45 - μ = 60 - 1.5μ
Solving for μ gives us the sample mean:
μ = 60 - 45 = 15 / (1.5 - 1) = 15 / 0.5 = 30
To find the standard deviation σ, we substitute μ = 30 into one of the original equations:
1.50σ = 45 - 30 = 15
Therefore, σ = 15 / 1.50 = 10
So, the sample mean (μ) is 30 and the sample standard deviation (σ) is 10.
Final answer:
The sample mean (μ) is 30 and the standard deviation (σ) is 10.
Explanation:
The question is asking to find the sample mean and standard deviation based on given z-scores for specific values in a normal distribution.
To find these parameters, we'll use the formula for calculating a z-score:
z = (X - μ) / σ, where z is the z-score, X is the value, μ is the mean, and σ is the standard deviation.
For X = 45 and z = 1.5, the equation becomes 1.5 = (45 - μ) / σ. For X = 40 and z = 1.0, the equation is 1.0 = (40 - μ) / σ.These two equations can be solved simultaneously to find the values of μ and σ.
Steps for solving them are:
Rewrite the equations:1.5σ + μ = 45
1.0σ + μ = 40Subtract the second equation from the first:
0.5σ = 5Solve for σ:
σ = 5 / 0.5 = 10Substitute σ back into either equation and solve for μ:
1.0 * 10 + μ = 40
μ = 40 - 10
μ = 30
Therefore, the sample mean (μ) is 30 and the standard deviation (σ) is 10.
A piano tuner charged a flat rate of $25 plus $12 per hour to tune a piano. Which expression represents how much the piano tuner earns tuning a piano for h hours?
Answers
Answer:
T = 25 + 12 * h
Step-by-step explanation:
To find the rate of the tuner it is necessary to go to an equation:
First would be the full rate that has a value of 25. And for every hour that is 12.
That is to say:
T = 25 + 12 * h
h being the hours it takes to tune the piano. And this equation would reprehend what the piano tuner
about 30% of the population is left-handed. If two people are random selected what is the probability that both are left handed? What is the probability that at least one is right handed?
Answers
Answer:
0.91
Step-by-step explanation:
1 - P(both left handed)
1 - 0.3² = 0.91
two integers whose product is 90 and whose sum is 21
Answers
Answer:
6 and 15
Step-by-step explanation:
Answer:
6 and 15
Step-by-step explanation:
the factors of 90 are:
1 90
2 45
3 30
5 18
6 15
9 10
find the factors that =21
6+15=21 and 6 x 15=21
Alexandra wants to sign up for cell phone service she trying to decide which company she should choose. Telecorp has a flat rate of 7 cents per minute, America's charges 25cents per call and phone busters charges 35 cents per call and 2 cents per min
Answers
Answer:
Step-by-step explanation:
Let us assume that she makes 10 minutes of call.
Telecorp has a flat rate of 7 cents per minute. If she uses this cell phone service, the amount that she would pay for 10 minutes of call is
0.07 × 10 = $0.7
America's charges 25cents per call. If she uses this cell phone service, the amount that she would pay for 10 minutes of call is $0.25
Phone busters charges 35 cents per call and 2 cents per min. If she uses this cell phone service, the amount that she would pay for 10 minutes of call is
0.35 + 10 × 0.02
= 0.35 + 0.2
= $0.55
The cheapest service is that of America's. Therefore, she should choose it.
Ann works 51/2 hours, Mary works 61/3 hours, and John works 41/4 hours. How many combined hours have they worked? A. 155/12 B. 165/12 C. 161/12 D. 151/12
Answers
Answer:
C. 16 + 1/12
Step-by-step explanation:
5 + 1/2 = 11/2 = 66/12
6 + 1/3 = 19/3 = 76/12
4 + 1/4 = 17/4 = 51/12
66/12 + 76/12 + 51/12 = 193/12
193/12 = 16 + 1/12
College basketball team has won 14 games and lost 6 games. If they continue to win at this rate, how many games would the team win in a 50 game schedule?
Answers
Answer:
42 games
Step-by-step explanation:
If the college basketball team has won 14 games and lost 6 games,
The Probability of recording a win is given as:
Probability(of a win)[tex]=\frac{Number of Outcomes }{Total Number o trials}[/tex]=[tex]\frac{14}{20}[/tex]
In experimental probability, this can also be taken as the Relative Frequency of a win.
Therefore: Number of Expected Wins
=Relative Frequency of a win X Total Number of Trials
[tex]\frac{14}{20}X60=42[/tex]
The team would expect to win 42 games in a 60 game schedule
Final answer:
The team would win 35 games in a 50 game schedule.
Explanation:
To find out how many games the team would win in a 50 game schedule, we can use a proportion. The team has won 14 out of 20 games so far, which can be written as 14/20. We can set up a proportion with x representing the number of games the team would win in a 50 game schedule:
14/20 = x/50
Now we can cross-multiply and solve for x:
20x = 14 * 50
20x = 700
x = 700/20
x = 35
So, if they continue to win at this rate, the team would win 35 games in a 50 game schedule.
There is a sale on computers at your local Comp2u. The gaming system that you are interested in has the latest Intel Quad core processor and duel NVIDIA GeForce 9800S graphics card. The sale price on the computer is $1,500.00 plus 5.1% sales tax. Your monthly gross salary is $2,500. How much will you have saved over a two month period and will you be able to afford the computer, given your monthly expenses total $1,250, Social Security is 6.2% of your biweekly income, Medicare is 1.45% of your biweekly income, and you pay State and Federal taxes in the amount of $45.00 and $89.51 biweekly respectively?
Answers
Answer:
$1,579.44; yes
Step-by-step explanation:
The student will have saved $2500 over the two month period and will be able to afford the computer.
Explanation:In order to calculate the amount saved over a two month period, we need to calculate the monthly savings. To do this, we subtract the monthly expenses from the monthly gross salary:
$2,500 - $1,250 = $1,250
So the monthly savings is $1,250. To find the savings over a two month period, we multiply the monthly savings by 2:
$1,250 x 2 = $2,500
The cost of the computer is $1,500 plus 5.1% sales tax. To find the total cost, we multiply $1,500 by 1.051:
$1,500 x 1.051 = $1,576.50
Since the savings over a two month period is $2,500, and the total cost of the computer is $1,576.50, the student will be able to afford the computer and have savings left over.
HELP PLEASE 98 points
Given: BD¯¯¯¯¯ is an altitude of △ABC .
Prove: sinAa=sinCc
Triangle A B C with an altitude B D where D is on side A C. side A C is also labeled as small b. Side A B is also labeled as small c. Side B C is also labeled as small a. Altitude B D is labeled as small h.
Select from the drop-down menus to correctly complete the proof.
Statement Reason
BD¯¯¯¯¯ is an altitude of △ABC . Given
△ABD and △CBD are right triangles. Definition of right triangle
sinA=hc and sinC=ha
csinA=h and asinC=h
csinA=asinC
csinAac=asinCac Division Property of Equality
sinAa=sinCc Simplify.
Answers
Answer:
Given: BD is an altitude of △ABC .
Prove: sinA/a=sinC/c
Triangle ABC with an altitude BD where D is on side AC. Side AC is also labeled as small b. Side AB is also labeled as small c. Side BC is also labeled as small a. Altitude BD is labeled as small h.
Statement Reason
BD is an altitude of △ABC .
Given △ABD and △CBD are right triangles. (Definition of right triangle)
sinA=h/c and sinC=h/a
Cross multiplying, we have
csinA=h and asinC=h
(If a=b and a=c, then b=c)
csinA=asinC
csinA/ac=asinC/ac (Division Property of Equality)
sinA/a=sinC/c
This rule is known as the Sine Rule.
Answer:
For the people on Edge the answers are:
a/f
cf
c/b
cf + ec
c
A body of water is being drained it begins with 700 gallons of water and is draining 6.5 gallons each hour .If there are now 388 gallons then for how many hours has it been draining
Answers
Answer:
Therefore it has been draining 48 hours.
Step-by-step explanation:
Given that a water body is being drained it begins with 700 gallons of water.
Let after x hours the amount of water in the water body will 388 gallons.
The water body is draining 6.5 gallons each hour
It means
The amount of water that drain in 1 hour is 6.5 gallons.
The amount of water that drain in 2 hour is (6.5+6.5) gallons.
=(2×6.5)gallons.
The amount of water that drain in 3 hour is( 6.5+6.5+6.5) gallons.
=(3×6.5) gallons.
Therefore
The amount of water that drain = time ×6.5
The amount of water that drain in x hour is (x×6.5) gallons=6.5x gallons.
Therefore the remaining water
= initial amount of water- drainage water
=(700-6.5x)gallons
According to the problem,
700-6.5x= 388
⇒ -6.5x = 388-700
⇒ - 6.5x = - 312
[tex]\Rightarrow x=\frac{-312}{-6.5}[/tex]
⇒ x= 48
Therefore it has been draining 48 hours.
The 32 species that make up the dolphin family are closely related to whales and in fact include the animal known as the killer whale, which can grow to be 30 feet long and is famous for its aggressive hunting pods.
(A) include the animal known as the killer whale,which can grow to be 30 feet long and is
(B) include the animal known as the killer whale,growing as big as 30 feet long and
(C) include the animal known as the killer whale,growing up to 30 feet long and being
(D) includes the animal known as the killer whale,which can grow as big as 30 feet long and is
(E) includes the animal known as the killer whale,which can grow to be 30 feet long and it is
Answers
Answer:
A
Step-by-step explanation:
- Generally, the agent of a COMMA + VERBing modifier must be the nearest preceding SUBJECT.
- B and C: The 32 species...include the animal known as the killer whale, growing
- Here, COMMA + growing seems to refer to the 32 species -- the nearest preceding subject -- implying that the SPECIES are GROWING.
Not the intended meaning.
- The intended meaning of the original sentence is that THE KILLER WHALE can GROW.
Eliminate B and C.
- In D and E, includes (singular) does not agree with the 32 species (plural).
Eliminate D and E.
- the correct answer is A
The correct answer is option (A). include the animal known as the killer whale,which can grow to be 30 feet long
To determine this, we need to ensure the sentence maintains proper subject-verb agreement and logical consistency. The primary subject is 'The 32 species that make up the dolphin family,' which is plural.
Therefore, the verb 'include' is correct, rather than 'includes' which would be for a singular subject.
Additionally, 'which can grow to be 30 feet long and is' clearly and correctly describes the killer whale.
The correct answer to this question is (A) include the animal known as the killer whale, which can grow to be 30 feet long and is.
Robert and Robert go to the movie theater and purchase refreshments for their friends. Robert spends a total of $65.25 on 4 drinks and 9 bags of popcorn. Robert spends a total of $51.75 on 8 drinks and 3 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
Answers
Answer: the price of a bag of popcorn is $5.3
Step-by-step explanation:
Let x represent the price of one drink.
Let y represent the price of one bag of popcorn.
Robert spends a total of $65.25 on 4 drinks and 9 bags of popcorn. This is expressed as
4x + 9y = 65.25- - - - - - - - - - - - - - -1
Robert spends a total of $51.75 on 8 drinks and 3 bags of popcorn.
This is expressed as
8x + 3y = 51.75- - - - - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 4, it becomes
32x + 72y = 522
32x + 12y = 207
Subtracting, it becomes
60y = 315
y = 315/60
y = 5.25
Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum, g?
Answers
Answer:
5f+3g=5.70
2f+10g=3.60
Step-by-step explanation:
Cost of 1 piece of fudge =f
Cost of 1 piece of bubble gum =g
If Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70.
Chase's Cost:
For 5 pieces of Fudge, his cost is 5f
For 3 pieces of bubble gum, his cost is 3g
His Total, 5f+3g=$5.70
Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60.
Sara's Cost:
For 2 pieces of fudge, her cost is 2f
For 10 pieces of bubble gum, her cost is 10g
Her Total, 2f+10g=$3.60
The system of equation that could be used to determine the cost of 1 piece of budge and bubblegum is then:
5f+3g=$5.70
2f+10g=$3.60
Determine if the numerical value describes a population parameter or a sample statistic. 74% of all instructors at your school teach 2 or more classes.
Answers
Answer:
Population parameter
Step-by-step explanation:
We are given the following in the question:
74% of all instructors at your school teach 2 or more classes.
Parameter and statistic:
Parameter is the value that describes a population.Population is the collection of all the possible observations of an event.Statistic is the quantitative value that describes a sample.A sample is a part of a population and is always smaller than a population.Population:
all instructors at your school
Parameter:
74% of all the instructors at your school teach 2 or more classes
Thus, 74% describes the population that takes two or more classes.
Hence, it is a population parameter.
Write declaration statements to declare and initialize two variables: one is an integer variable named age, initialized to 18, and the other variable, named weight, is initialized to 114.5.
Answers
Answer:
int age;
age=18;
float weight;
weight=114.5F;
Step-by-step explanation:
int age; \\ it is declared as integer because 18 is an integer value
age=18; \\ initialized as 18 is stored in the variable 'age'
float weight; \\ weight is declared as float because it's value is floating or decimal value which cannot be declared as integer value
weight=114.5F; \\ F shows that it's single floating type value of 32 bits, if F is not written then it means it double floating type value which is 64 bits long
In order to declare and initialize two variables, one as an integer named 'age' initialized to '18' and the other named 'weight' initialized to '114.5', you'd write 'int age = 18;' and 'double weight = 114.5;' respectively.
Explanation:To declare and initialize two variables in a programming language such as Java or C++, you would use the following syntax:
int age = 18;
double weight = 114.5;
The keyword 'int' declares an integer variable, and 'double' declares a variable for floating-point numbers. After the variable name, an equals sign ('=') is used to assign or initialize the variable to a specific value.
Learn more about Variable Declaration and Initialization here:https://brainly.com/question/14472810
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Before polling the students in Scion School of Business, a researcher divides all the current students into groups based on their class standing, such as freshman, sophomores, and so on. Then, she randomly draws a sample of 50 students from each of these groups to create a representative sample of the entire student body in the school. Which of the following sampling methods is the researcher practicing? 1. stratified random sampling 2. simple random sampling 3. cluster sampling 4. systematic random sampling 5. snowball sampling
Answers
Answer:
1. Stratified Random Sampling
Step-by-step explanation:
Sampling is a technique of drawing small number of representative units from population.
Stratified Random Sampling is when population is divided into : heterogenous (different) groups, homogeneous (identical) within themselves - known as Strata.
Process of drawing Sample from each such strata group is called Stratified Random Sampling. This sampling makes sample better representative of various groups in population. Eg : Dividing population in strata based on gender , religion etc & then drawing sample from each strata.
Researcher dividing students into - freshman, sophomores & other groups ; then drawing sample from each group is an example of Stratified Sampling. It creates representative sample of each student body in school .
The researcher is practicing stratified random sampling by dividing the students into groups based on their class standing and randomly selecting a sample from each group.
Explanation:The researcher is practicing stratified random sampling.
In stratified random sampling, the population is divided into homogeneous groups called strata. The researcher then randomly selects a sample from each stratum to create a representative sample of the entire population.
In this case, the researcher divided the students into groups based on their class standing and randomly selected 50 students from each group.
This ensures that the sample includes students from all class standings and accurately represents the entire student body of the Scion School of Business.
A rectangular prism with the surface area of 336 and width of 4 is similar to a rectangular prism with the width of 6, what is the surface area of the larger prism
Answers
Answer:
The larger surface area would be 756 [tex]Unit^2[/tex]
Step-by-step explanation:
Given the surface area of rectangular prism is 336 [tex]Unit^2[/tex] when its width is 4 [tex]Unit[/tex].
We need to compute the surface area when its width is 6 [tex]Unit[/tex].
Also, it was given that prisms are similar to each other.
Let us assume the [tex]l[/tex] is length [tex]b[/tex] is width and [tex]h[/tex] is the height of the prism.
So, the surface area would be
[tex]S=2(lb)+2(bh)+2(hl)[/tex]
[tex]336=2(4l)+2(4h)+2(hl)[/tex] Equation (1)
Now, the new width is 6 [tex]Unit[/tex]. That is 1.5 times the previous width. And those prisms are similar, which means other dimensions will also be 1.5 times the previous one.
We can write
[tex]b'=1.5\times b=1.5\times 4=6\\l'=1.5\times l\\h'=1.5\times h[/tex]
So, the new surface area would be
[tex]S'=2(l'b')+2(b'h')+2(h'l')\\S'=2(1.5\times l\times 1.5\times 4)+2(1.5\times4 \times 1.5\times h)+2(1.5\times h\times 1.5\times l)\\S'=2.25\times 2(l4)+2.25\times 2(h)+2.5\times 2(hl)[/tex]
[tex]S'=2.25[2(4l)+2(4h)+2(hl)][/tex]
From Equation (1) we can plug [tex]336=2(4l)+2(4h)+2(hl)[/tex]
[tex]S'=2.25\times 336=756\ Unit^2[/tex]
So, the larger surface area would be 756 [tex]Unit^2[/tex]
Can someone answer the blank ones please!!!
Answers
The equation is [tex]155p+225f=5050[/tex].
If p = 17, f = 13. This value is a reasonable value in this context.
If f = 28, p = -10. This value is not reasonable in this context.
Step-by-step explanation:
Step 1:
[tex]155p+225f=5050[/tex],
where p is the part-time memberships and f is the number of full-time memberships.
Kiri needs to make $5,050 a month from this rented space.
Each part-time membership costs $155 and each full-time membership costs $225.
Step 2:
We need to calculate the value of f when p = 17,
Substituting the value, p = 17 in the equation, we get;
[tex]125(17)+225f=5050[/tex], [tex]225f=5050-125(17),[/tex]
[tex]225f=2925, f = \frac{2925}{225}, f =13.[/tex]
The value of f = 13 and p = 17. This is a reasonable value in this context.
Step 3:
We need to calculate the value of p when f = 28,
Substituting the value, f = 28 in the equation, we get;
[tex]125p+225(28)=5050[/tex], [tex]125p=5050-225(28)[/tex]
[tex]125p=-1250, p = \frac{-1250}{125}, p=-10.[/tex]
The value of f = 28 and p = -10. This is not a reasonable value in this context. as the values of f and p cannot be negative for this given equation.
What is the approximate value of log625?
Answers
Answer:
2.79588001734
Step-by-step explanation:
If you use the log button on your calculator
log625 or log(625)
you get 2.79588001734
Answer:
2.79588001734
Step-by-step explanation: but you can solve for the nearest ten thousand just use a scientific calculator and input the numbers with or before log. Depends what type of scientific calculator you use.
A square kitchen floor has an area of 500 square feet. Estimate the length one wall to the nearest tenth of a foot. Someone please help me with this question. I'm really stumped XD
Answers
To the right are the outcomes that are possible when a couple has three children. Refer to that list, and find the probability of each event. a. Among three children, there are exactly 2 boys. b. Among three children, there are exactly 3 boys. c. Among three children, there is exactly 1 boy.
Answers
Answer:
The probabilities are 3/8, 1/8 and 3/8 respectively
Step-by-step explanation:
The sample space for the provided case can be written as:
S= {(bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg)}
Here, boy child is denoted by "b" and girl child by "g".
Total number of outcomes are 8.
Number of outcomes that show exactly boys = 3.
Number of outcomes that show exactly 3 boys = 1
Number of outcomes that show exactly 1 boy = 3.
Thus, the required probabilities can be calculated as:
(a)
[tex]\\P( Exactly 2 boys) =\frac{3}{8}[/tex]
(b)
[tex]P( Exactly 3 boys) =\frac{1}{8}[/tex]
(c)
[tex]P(Exactly 1 boy)= \frac{3}{8}[/tex]
Thus, the required probabilities are 3/8, 1/8 and 3/8 respectively.
This is a problem in Mathematics, specifically probability, at the High School level. The student is asked to calculate the probability of certain gender distributions among three children. The outcomes are determined and the respective probabilities calculated: the probability for exactly 2 boys and 1 boy is found to be 3/8 each, while for exactly 3 boys it's 1/8.
Explanation:This question pertains to the understanding of probability in a specific scenario: calculating the likelihood of certain outcomes when a couple has three children. Given that each child can be a boy or a girl (2 possibilities), and there are three children, there are 2^3 or 8 total possible outcomes.
a. To find the probability of having exactly 2 boys, we count the outcomes where that is the case: BBG, BGB, GBB. This is three outcomes, so the probability is 3/8.
b. There is only one outcome where all three children are boys (BBB), therefore the probability of exactly 3 boys is 1/8.
c. The outcomes with exactly 1 boy are BGG, GBG, GGB. This gives us three outcomes, hence the probability is also 3/8.
Learn more about Probability here:https://brainly.com/question/22962752
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The edges of a shoebox are measured to be 11.4 cm, 17.8 cm, and 29 cm. Determine the volume of the box retaining the proper number of significant figures in your answer
Answers
Answer:
The Volume of the Shoebox is therefore 5884.7[tex]cm^3[/tex]
Step-by-step explanation:
The edges of a shoebox are measured to be 11.4 cm, 17.8 cm, and 29 cm.
We want to determine the volume of the box.
The Shoebox is in the shape of a Cuboid and;
Volume of a Cuboid=Length X breadth X height
Volume of the Shoebox= 11.4.X 17.8 X 29 =5884.68[tex]cm^3[/tex]
=5884.7[tex]cm^3[/tex] (correct to 1 decimal place)
The volume of the box is 5884.68 cubic cm.
Important information:
Dimensions of the box are 11.4 cm, 17.8 cm, and 29 cm.We need to find the volume of the box.
Volume of cuboid:The volume of a cuboid is:
[tex]V=l\times b\times h[/tex]
Where [tex]l[/tex] is length, [tex]b[/tex] is breadth and [tex]h[/tex] is height.
The volume of the box is:
[tex]V=11.4\times 17.8\times 29[/tex]
[tex]V=5884.68[/tex]
Therefore, the volume of the box is 5884.68 cubic cm.
Find out more about 'Volume of cuboid' here:
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Josiah has 3 packs of toy animals.Each pack has the same number of animals.Josiah gives 6 animals to his sister stephanie.Then josiah has 9 animals left.How many animals were in each park?
Answers
Answer:
there are 5 animals in each pack.
Step-by-step explanation:
if you add 9+6= 15 then divide 15 by 3 you will get 5 as your answer
Answer: there were 5 animals in each pack.
Step-by-step explanation:
Let x represent the number of toy animals in each pack.
Josiah has 3 packs of toy animals. Each pack has the same number of animals. This means that the number of animals in the 3 packs is
3x
Josiah gives 6 animals to his sister stephanie. This is expressed as 3x - 6. If she has 9 left, it means that
3x - 6 = 9
3x = 9 + 6
3x = 15
x = 15/3
x = 5
please find the factors to this equation
Answers
Answer:(x,-14) (x+6)
Step-by-step explanation:
I think correct me if I am wrong.
Factor the expression. 48g2 – 22gh – 15h2
A. (6g – 5h)(8g + 3h)
B. (6g – 5)(8g + 3)
C. (6g + 5)(8g + 3h2)
D. (6g + 5h)(8g – 3h)
Answers
Answer:
A
Step-by-step explanation:
FOIL:First,Inner,Outer,Last
After the polynomial operations are done we can see that A is the answer.
6g*8g=48g^2
6g*3h=18gh
8g*-5h=-40gh
-5h*3h=-15h
After combining like terms we get :
48g^2-22gh-15h^2