Answer:
Ariana's percentage of lemon cups is 85%.
Andre's percentage of lemon cups is 48%.
Step-by-step explanation:
Ariana:
Lemon cups = 17
Total cups = 17 + 3 = 20
Percent of lemon cups.
= 17/20 x 100
= 17 x 5
= 85%
Andres:
Lemon cups = 10
Total cups = 11
Percent of lemon cups. = 10/21 x 100 = 48%
There are
animals on Farmer Cole’s farm—all sheep and chickens. If the animals have a total of
legs, how many of each type of animal lives on his farm? Write a system of equations, and use the Elimination Method to solve it. Be sure to check your answer.
Let x represent the number of chickens and y represent the number of sheep.There is no proper system equation so such farms does not exist as this equations contradict.
What is system of equations and how these equations contradict in the given questionA system of equations is a set of multiple equations with multiple variables that are related to each other. It is a mathematical problem that requires a solution for each equation in the system.
The total number of legs on the farm is given as "4x + 2y". What's more, we are told that the total number of animals is "x + y".
4x + 2y means the total legs
x + y = the number of total of animals
We'll now use the Elimination method to identify x and y.
One method is to multiply the first equation by 2 and subtract it from the second:
(2) * legs = (4x + 2y)
2x + 2y = the total number of animals
Legs = (2x + 2y)
0 = number of legs - 2 * the amount of animals
When we solve for the number of animals we get:
animal count = legs / 2
So, if we connect this back into either equation, we can find x and y.
Let's look at the first equation:
4x + 2y means the total legs
legs / 2 = x + y
When we substitute legs / 2 in the second equation for "number of animals," we get:
legs / 2 = x + y
Now we'll use substitution to find x. In the first equation, we'll substitute x = legs / 2 - y:
4x + 2y means the total legs
legs = 4(legs / 2 - y) + 2y
legs = 2 * legs - 4y + 2y
2 times legs = legs
There are no solutions due to this contradiction, and no such farm exists under the given conditions.
As a result, the answer to the system of equations is that no such farm occurs under the given conditions.
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If i get $80 for 8 weeks straight, how much money will I have at the end of the 8 weeks?
the measure of an angle is 82°. What is the measure of its supplementary angle?
Answer:
98
Step-by-step explanation:
180 means supplementary so we subtract that by 82 which gives us 98
Answer:
Below
Step-by-step explanation:
The two supplementary angles sum to 180 °
180 - 82 = other angle = 98°
Please help w/ explanation
Answer:
d)
Step-by-step explanation:
50-18=324
32÷50=0,64
350×0,64=224
a six person committee composed by alice, ben, connie, dolph, egbert and francisco is to select a chair-person, secretary and treasurer. a member can only have one position in the committee. specify clearly which principle are you using to count. (a) how many selection exclude connie? (b) how many selections are there in which neither ben nor francisco is an officer? (c) how many selection are there in which both ben and francisco are officers? (d) how many selections are there in which dolph is an officer or francisco is not an officer? (e) how many selections are there in which dolph is a chair person or he is not an officer?
a) 60 selection excluded Connie. b) 24 selections in which neither Ben nor Francisco is an officer. c) 24 selection in which both Ben and Francisco are officers. d) 36 selections in which Dolph is an officer or Francisco is not an officer. e) 20 and 60 in which Dolph either selected or not.
A chairperson, secretary, and treasurer are to be chosen by a six-person committee made up of Alice, Ben, Connie, Dolph, Egbert, and Francisco. Their Calculations are a) 5 × 4 × 3 = 60. (b) 4 × 3 × 2 = 24 (c) 3 × 2 × 4 = 24 (Ben can choose from 3 slots, Francisco has 2 spots remaining to choose from, and there are 4 people available for the final position.) (d) 3 × 4 × 3 = 36 (Dolph is eligible for three seats, after which there are four more members to pick from.) Part e will be the sum of 2 cases: Case 1 : Dolph is a chairperson. Number of ways = 1 × 5 × 4 = 20. Case 2: Dolph isn't elected. Number of ways for this = 5 × 4 × 3 = 60. Hence a total of 80 selection for part e.
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given that z is a standard normal random variable, what is the value of z if the area to the right of z is .1112? a. 2.22 b. 3.22 c. 1.22 d. .3888
If the area to the right of z, given that it is a standard normal random variable, is 0.1112, then the value of z is 1.22. The answer is C.
A standard normal random variable has a mean of 0 and a standard deviation of 1. The area to the right of a value for a standard normal random variable can be found using a standard normal table or a calculator with a normal cumulative distribution function (CDF).
Given that the area to the right of z is 0.1112, we can use a standard normal table or normal CDF calculator to find the value of z such that the area to its right is 0.1112. This value will be approximately equal to 1.22.
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can you pack 85 bricks of dimension 1x1x6 into a box of dimension 8x8x8? explain how you got your answer. *
If the dimension of brick is 1×1×6 and that of box is 8×8×8 , then yes , it is possible to pack 85 bricks in the box .
We first calculate the Volume of the box and Volume of the brick ;
The volume of one brick is calculated as 1×1×6 = 6 cubic inches,
so 85 bricks would have a total volume of = 6×85 = 510 cubic inches.
The Volume of the box is 8×8×8 = 512 cubic inches,
we get that the volume of the box is greater than volume of cube , then it is possible to fit 85 bricks of volume 510 cubic inches into a box of volume 512 cubic inches.
Therefore, it is possible to pack 85 bricks of dimension 1×1×6 into a box of dimension 8×8×8 .
The given question is incomplete , the complete question is
Can you pack 85 bricks of dimension 1×1×6 into a box of dimension 8×8×8 ? Explain how you got your answer.
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When Heather started a new job, her mom made this statement.
If Heather doesn't put money into a savings account each month, then Heather won't be able to take a vacation next summer.
Note that the PQ table are attached according. Note that Heather's mom's statement is written in symbolic form as: ~p -> ~q.
What is the rationale for the response given?Note that in situation 1:
according to the P Q table, the statement ~p -> ~q is false because the row where p is false and q is true (which corresponds to Heather not putting money into the savings account each month but still being able to take a vacation) evaluates to false.
While in Situation 2:
From the P Q table, the statement ~p -> ~q is false because the row where p is false and q is true (which corresponds to Heather not putting money into the savings account each month but still being able to take a vacation) evaluates to false.
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need help ASAP Using a proportion, how can we find 12% of 125? Please show your proportion set up and all work.
Answer:
9
Step-by-step explanation:
Think about u coming 3 + 3 then subtract it to 10 then u will get 1 more then yea u get 9
What is something special about the relationship between an interior and exterior angle that are adjacent?
Answer:
Hi Elm!
Step-by-step explanation:
In a polygon, the sum of the measures of the interior angles and the sum of the measures of the exterior angles of adjacent angles are related. Specifically, the sum of the measures of the interior angles of a polygon is equal to (n - 2) times 180 degrees, where n is the number of sides in the polygon. For a given interior angle and its adjacent exterior angle, the measure of the exterior angle is equal to the sum of the interior angle and 180 degrees.
Step-by-step explanation:
Interior angle is formed by two sides of a polygon. The corresponding exterior angle is formed by one of these sides and continuation of another (see the drawing.) That makes these two angles adjacent to each other and together forming a straight angle of 180o degree.I hope this helps a bunch! Make sure to rephrase!
Do the ratios 7:14 and 4:8 form a proportion?
Answer:
Yes. Both ratios can be reduced down to 1/2.
Step-by-step explanation:
Hope it helps!
For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.
To simplify these ratios, we can use division.
7: 14 = 1: 2(7 ÷ 7 = 1)(14 ÷ 7 = 2)So, 7: 14 simplified is 1: 2.
4: 8 = 1:2(4 ÷ 4 = 1)(8 ÷ 4 = 2)So, 4: 8 simplified is 1: 2.
If these ratios are both simplified to equal 1 :2, they are proportional.
a bowl has 5 apples, 2 of them are poisoned. what is the probability that you will eat both of the poisoned apples if you randomly eat 3 out of the five apples (without replacement)?
The probability of eating both poisoned apples if you randomly eat 3 out of the five apples without replacement is 1/10 or 0.1.
To calculate this probability, we use the formula for combinations of n objects taken r at a time, (nCr) which is equal to n!/r!(n-r)!. In this example, n = 5 and r = 3, so the formula reduces to 5!/3!(5-3)! = (5*4*3)/(3*2*1) = 10. This means that there are 10 different combinations of 3 apples, out of the five, that can be chosen. Since only two of the apples are poisoned, the probability of eating both of the poisoned apples is 2/10 or 0.1.
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It takes Zeke 45 minutes to walk 1.5 miles from his house to the library. He starts out walking fast and walks 1.0 mile in the first 20 minutes, then stops for 10 minutes to talk to a friend. Then he continues on at a slower rate for 15 minutes until he reaches the library.
Zeke's average speed in mph for the first 20 minutes was 3 mph.
What is Zeke's average speed in mph for the first 20 minutes?To find Zeke's average speed in mph for the first 20 minutes, divide the distance traveled by the time it took him to travel that distance:
1.0 mile / 20 minutes = 0.05 miles per minute
Since there are 60 minutes in an hour, to convert minutes per mile to miles per hour, multiply by 60:
0.05 miles per minute * 60 minutes per hour = 3 mph
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when firing a handgun, how far should you hold it from your body? nine inches one foot eighteen inches at arm's length
When firing a handgun , you should hold the handgun (d) at arm's length , from the body .
When firing a handgun, it is recommended to hold it at arm's length, from your body. This allows for proper control and aim of the firearm, as well as providing a buffer between you and the potential dangers of the discharge.
Holding the handgun too close to your body can also interfere with accuracy and control, as your arms may obstruct the movement of the gun. It's important to follow manufacturer guidelines and seek proper training and follow all safety procedures when handling handgun to ensure responsible and safe use.
The given question is incomplete , the complete question is
When firing a handgun, how far should you hold it from your body?
(a) 9 inches
(b) one foot
(c) eighteen inches
(d) at arm's length
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did you know that 100-200 high frequency words account for approximately 50% of words used in school texts? out of that list of high frequency words, almost 25% are permanently irregular. this is why it is imperative that we explicitly teach these words to our students.
Yes, it is widely known that 100-200 high-frequency words account for about 50% of the words used in school texts. This highlights the importance of explicitly teaching these words to students in order to improve their reading fluency and comprehension.
Among these high-frequency words, almost 25% are permanently irregular, meaning that they do not follow standard spelling and pronunciation rules. This makes it even more important for students to learn these words through direct and systematic instruction, as they can greatly impact their reading and writing abilities. By focusing on these high-frequency words, educators can help students build a strong foundation of vocabulary knowledge, which can lead to improved reading outcomes and success in school.
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Simplify the expression:
[tex]\frac{1-\frac{2}{x} }{1-\frac{3}{x} }[/tex]
The simplified form of the expression is (x - 2) / (x - 3).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is (1 - [tex]\frac{2}{x}[/tex] ) / (1 - [tex]\frac{3}{x}[/tex] ).
Cross multiplying both the denominator and numerator of the expression,
1 - [tex]\frac{2}{x}[/tex] = (x - 2) / x and 1 - [tex]\frac{3}{x}[/tex] = (x - 3) / x
(1 - [tex]\frac{2}{x}[/tex] ) / (1 - [tex]\frac{3}{x}[/tex] ) = [(x - 2) / x] / [(x - 3) / x]
= (x - 2) / (x - 3)
Hence the expression can be simplified as (x - 2) / (x - 3).
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a person is flying a kite. the wind is blowing the kite horizontlly down the fiels which means the kite's height from the ground is not changing. the kite string (hypotenuse) is 405 ft. thre height of the kite is from the ground is 210 feet. what is the angle of elevation of the observer to the kite?
The angle of elevation of the observer to the kite is around 30 degrees
The hypotenuse in the given question is 405 feet, while the height of the kite from the ground is 210 feet.
It is also stated that the kite's height from the ground does not change.
The tangent function may be used to calculate the angle of elevation.
tan(angle of elevation) = height of the kite / horizontal distance to the kite
Since the height of the kite is 210 feet and the horizontal distance (the length of the kite string) is 405 feet, we can calculate the angle of elevation:
Let Ф be the angle of elevation
tan(angle of elevation) = 210/405
Ф = tan-1(210/405)
Ф = tan-1(0.516)
Ф = roughly 30 degrees
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what does the standard deviation represent when graphing the class average for the serial dilution experiment?
The standard deviation represents the variability or spread of the data when graphing the class average for the serial dilution experiment.
It shows how much the individual data points deviate from the mean, or average, of the class data. The standard deviation can be used to determine how much variation there is in the data and how much the data is spread out from the mean.
If the standard deviation is small, it means that the data points are very close to the mean, and if the standard deviation is large, it means that the data points are spread out over a larger range.
The standard deviation is important to consider when analyzing data in the serial dilution experiment, as it gives insight into the variability of the data and helps to determine if the data is accurately representing the experiment.
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the following table shows the probability distribution for the prize amounts that will be awarded at a school raffle. prize $1 $5 $10 $20 $50 probability 0.60 0.30 0.05 0.04 0.01 let the random variable p represent a randomly selected prize amount. what is the expected value of p ? responses
Let the random variable p represent a randomly selected prize amount the expected value of p is $3.90 by using probability.
Prize $1 $5 $10 $20 $50
Probability 0.60 0.30 0.05 0.04 0.01
It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.
The expected value is defined as the the sum of each outcome is multiplied by its probability.
p=x1p1+x2p2+x3p3+x4p4
p=1.0.60+5.0.30+10.0.05+20.0.04
p=3.90
Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.
Three Types of Probability
Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).
Relative Frequency Definition.
Subjective Probability.
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suppose scores for a college entrance exam are normally distributed withmeanandstandarddeviation.1.whatfractionofthescoresliesbetweenand?giveyouranswersbelowintermsof,thecdfofastandardnormalvariable
The standard normal distribution is a normal distribution of standardized values called z-scores.
A z-score is measured in units of the standard deviation. If a random variable is normally distributed and follows the parameters mean (mu) and standard deviation (sigma), the z-score is calculated as the difference between the value of the random variable and the mean divided by the standard deviation . The cumulative distribution function (CDF) of a standard normal variable is used to find the fraction of scores that lies between two given values. To determine the fraction of scores, one can use the CDF to find the area under the standard normal distribution curve between the given values.
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what is 88 to 22 precent decrese? choose from the picture :/
Answer:
75% decrease
Step-by-step explanation:
88 - 66 = 22
66 is 75% of 88
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{Percentage\ change \ formula\ is: \bf \dfrac{(v_2 - v_1)}{|v_2|}\times 100 = \boxed{\mathsf{\bf percentage \ change}}}[/tex]
[tex]\textsf{Your equation:} \mathbf{\dfrac{(22 - 88)}{|88|}\times 100}[/tex]
[tex]\mathbf{\dfrac{(22 - 88)}{|88|}\times 100}[/tex]
[tex]\mathsf{= \mathbf{\dfrac{(22 - 88)}{|88|}\times \dfrac{100}{1}}}[/tex]
[tex]\mathbf{= \dfrac{-66}{88}\times\dfrac{100}{1}}[/tex]
[tex]\mathbf{= \dfrac{-66\div 11}{88\div11}\times\dfrac{100}{1}}[/tex]
[tex]\mathbf{= \dfrac{-6}{8}\times \dfrac{100}{1}}[/tex]
[tex]\mathbf{= \dfrac{-6\div2}{8\div2}\times \dfrac{100}{1}}[/tex]
[tex]\mathbf{= \dfrac{-3}{4} \times \dfrac{100}{1}}[/tex]
[tex]\mathbf{= \dfrac{-3\times100}{4\times1}}[/tex]
[tex]\mathbf{= \dfrac{-300}{4}}[/tex]
[tex]\mathbf{= -300\div4}[/tex]
[tex]\mathbf{= -75}[/tex]
[tex]\mathbf{\rightarrow -75\%\ will\ be\ your\ change}[/tex]
[tex]\mathbf{\rightarrow 75\%\ will \ be\ your\ percentage\ change\ that\ decreased}[/tex]
[tex]\huge\text{Therefore your answer should probably be:}[/tex]
[tex]\huge\boxed{\mathsf{75\% \ decrease}}\huge\checkmark[/tex]
[tex]\huge\text{So, your I guess the answer with the choices}\\\\\huge\text{you have provided we will be: }\\\\\huge\boxed{\textsf {77.3\% (Option C.)}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
- x + y = 7
x + y = 1
Answer:
So, the solution is x = -3 and y = 4. This means that the two lines intersect at the point (-3, 4)
Step-by-step explanation:
The given equations represent two lines in a two-dimensional plane. To find the solution for the values of x and y that satisfy both equations, we can use the method of substitution or elimination.
Using substitution, we can solve for x or y in one of the equations and substitute the result into the other equation. Let's solve for y in the second equation:
x + y = 1
y = -x + 1
Now, substitute this expression for y into the first equation:
-x + (-x + 1) = 7
-2x + 1 = 7
-2x = 6
x = -3
Finally, we can use the expression for y that we derived earlier to find y:
y = -x + 1 = -(-3) + 1 = 4
insert four arithmetic means between 4 and 19
Let A1,A2,A3,A4 be the 4 A.M.s between 4 and 19.
Then,
4,A1, A2,A3, A4,19 are in A.P. of 6 terms.
An=a+(n−1)d
a6=19=4+(6−1)d
Or d = 3 ...... (i)
Now,
A1=a+d=+3=7
A2=A1+d=7+3=10
A3=A2+d=10+3=13
A4=A3+d=13+3=16
The 4 A.M.s between 4 and 19 are 7, 10, 13, 16.
what is arithmetics?Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. The term "arithmetic" derives from the Greek arithmtik (tekhn), which means "(art) of counting," and from the Greek arithmos, which means "number.".
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The equation of line ef is y = 2x 1. write an equation of a line parallel to line ef in slope-intercept form that contains point (0, 2). y = 2x − 4 y = 2x 2 y = negative one halfx − 4 y = negative 1 over 2x 2
So y = 2x + 2 is the equation of a line parallel to line ef and includes point (0, 2).
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.
Here,
Since line ef has a slope of 2, any line parallel to it will also have a slope of 2. The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find an equation of a line parallel to line ef that contains point (0, 2), we need to find its y-intercept.
We can use the point-slope form of a line to find the equation of the line: y - y1 = m(x - x1)
Plugging in the point (0, 2) and the slope of 2, we get:
y - 2 = 2(x - 0)
y - 2 = 2x
y = 2x + 2
So, the equation of a line parallel to line ef and containing point (0, 2) is y = 2x + 2.
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pls help asap ! . . . . . . . . . . .
6. The costs are given as follows:
4 kites - $28.7 kites - $34.10 kites - $40.7. The linear function is defined as follows:
y = 20 + 2x.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change of the linear function.The intercept b represents the value of y when x = 0.From the table, when x = 0, y = 20, hence the intercept b is given as follows:
b = 20.
When x increases by one, y increases by two, hence the slope m is given as follows:
m = 2.
Then the function giving the cost y of x kites is defined as follows:
y = 2x + 20.
The costs are given obtaining the numeric values, replacing the lone instance of x in the equation by the number of kites, thus:
4 kites - $28. -> y = 2(4) + 20.7 kites - $34 -> y = 2(7) + 20.10 kites - $40 -> y = 2(10) + 20.More can be learned about linear functions at brainly.com/question/24808124
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A cylinder has a height of 6 millimeters and a radius of 6 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
Below
Step-by-step explanation:
Volume of a cylinder : Find the area of the end....then multiply by height
Volume = pi r^2 * h
3.14 (6)^2 mm) * 6 mm = 678.24 mm^3
Find the length of side x in simplest radical form with rational denominator
The value of x that makes ABC~ ADEF is 4
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
AABC~ ADEF.
So, we have the following equivalent ratio
6 : 2x = 24 : 32
So, we have
2x/6 = 32/24
Make x the subject
So, we have the following representation
x = 6 * 32/(24 * 2)
Evaluate the expression
x = 4
Hence, the value is 4
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Mr. and Mrs. Torres have three pretty daughters, Jane, Jade and Jem. Jane is twice old as Jade, and Jem is 5 years younger than Jane. If n represents the age of Jade and the sum of their ages is 55, then ;
1. Who among the children is the youngest?
2, Write an expression representing the age of Jane.
3. Who among the children is the oldest?
4. How old is Jade?
5. Write an equation representing the sum of ages of Jane, Jade, and Jem.
The youngest child is Jade.
The expression that represents Jane's age is 2n.
The oldest child is Jem.
Jade is 12 years old
The equation that represents the sum of ages is 5n - 5 = 55.
What are the ages of the siblings?Jade's age = n
Jane's age = 2 x n = 2n
Jem's age = 2n - 5
Sum of the ages:
n + 2n + 2n - 5 = 55
5n - 5 = 55
Jade's age can be determined using the above equation:
5n = 55 + 5
5n = 60
n = 60 / 5
n = 12
To determine Jane and Jem's age, substitute for n in the equation that represents their ages.
Jane's age = 2 x 12 = 24
Jem's age = 2(12) - 5
= 24 - 5
= 19
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a population of a particular yeast cell develops with a constant relative growth rate of 0.4419 per hour. the initial population consists of 3.1 million cells. find the population size (in millions of cells) after 5 hours. (round your answer to one decimal place.)
The population size after 5 hours is 28.2 million.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
Given that,
Constant relative growth rate, r = 0.4419
Initial population, A = 3.1 million
Time = 5 hours
P = A e^(rt)
P = 3.1 e^(0.4419 × 5)
= 3.1 × 9.111
= 28.245 million ≈ 28.2 million
Hence the population after 5 hours will be 28.2 million.
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Sevio2 1916 oy blow HinW.E.
Savloz
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Lesson 6: Strategic Solving
Let's solve linear equations like a boss.
6.1: Equal Perimeters
The triangle and the square have equal perimeters.
1. Find the value of x.
which
2x
2 = 21 (
2x
(2-4-)8-=
2. What is the perimeter of each of the figures?
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nopsups
50 vida & jus mib om 8 Blow Ining
+8) -
+1)=-8
X-8
2+1=3
x+2
5
The value of {x} is equivalent to {x} = 4β - (y + z).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that triangle and the square have equal perimeters.
Assume the lengths of the triangle are {x}, {y} and {z} respectively.
Let the side length of a square be β. We can write -
P{T} = P{S}
(x + y + z) = 4β
{x} = 4β - (y + z)
Therefore, the value of {x} is equivalent to {x} = 4β - (y + z).
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