There are 7 rabbits sold for $7 and 13 rabbits sold for $11.
Substitution method:
In the substitution method, we must substitute the value of one given variable in terms of the other given variable and find the solution.
Given,
A pet shop sold 20 rabbits for $192.
Some of the rabbits sold for $7 each and the rest for $11 each.
Here we need to find the number of rabbits sold in each case.
Let us consider x be the number of rabbits sold for $7 and y be the number of rabbits sold for $11.
We know that, the total number of rabbits sold = 20.
So, it can be written as,
=> x + y = 20
Here we have to rewritten this equation as,
=> x = 20 - y ----------------------(1)
We know that, total amount for sold rabbits = 192
So, it can be written as,
=> 7x + 11y = 192 -----------------------(2)
Apply the value of x to equation (2),
Then we get,
=> 7(20 - y) + 11y = 192
=> 140 - 7y + 11y = 192
=> 4y + 140 = 192
=> 4y = 192 - 140
=> 4y = 52
=> y = 52/4
=> y = 13.
Apply the value of y on the equation (1),
Then we get,
=> x = 20 - y
=> x = 20 - 13
=> x = 7
Therefore, there are 7 $7 rabbits and 13 $11 rabbits are sold.
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Amanda tutors English. For each hour that she tutors, she earns 40 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
Write an equation relating E to H. Then use this equation to find Amanda's earnings after tutoring for 11 hours.
Amanda's earnings for 11 hours: dollars
Answer:
e = 40h
After eleven hours, she will earn $440.00
Step-by-step explanation:
Let e = earnings
Let h = hours
e = 40h She earns 40 for every hours that she tutors. If she tutors for 11 hours, you would substitute aa for h to calculate her earnings.
e = 40(11)
e = 440
Sandra, who is paid time-
and-a-half for hours worked in excess of 40 hours, had
gross weekly wages of $442 for 48 hours worked. What is
her regular hourly rate?
Answer:
let's assume that Sandra's regular hourly rate is x dollars per hour then she is paid 1.5x per hour for the overtime and we have 40x + (48 - 40) *1.5x = 442
Step-by-step explanation:
ASAP PLS I NEED IT AND TY
Answer:
2
Step-by-step explanation:
to solve this equation you must find what you multiply A to to equal A'
you can solve this by dividing 18 by 9
18 / 9 = 2
that is your answer
Madeline drew a grid of 5 cells in a row.
4.88 4.86 4.84 4.82
Explain how you can use structure to find the missing decimal.
A.Moving left to right, the whole number stays the same and the tenths decrease by 2.
B.Moving left to right, the whole number stays the same and the hundredths decrease by 1.
C.Moving left to right, the whole number stays the same, the tenths decrease by 1, and the hundredths decrease by 2.
D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
Answer:
D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
1/5 raised to the power minus 1
Simplification form of 1/5 raised to the power minus 1 is 5.
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."
The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.
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y = RootIndex 3 StartRoot x EndRoot. y = negative (0.4) RootIndex 3 StartRoot x minus 2 EndRoot
Reflected over the x-axis , Compressed by a factor of 0.4. , Translated 2 units left.
What is Reflected over the x-axis?
Point (x, y) is reflected across the x-axis as (x, -y). The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.
[tex]y = \sqrt[3]{x}[/tex]
[tex]y' = - 0.4\sqrt[3]{x - 2}[/tex]
Required
The transformation from y to y'
First, y is reflected over the x-axis.
The transformation rule is
(x, y) → ( x, -y)
So, we have
y = ∛x becomes
y' = - ∛x
Next, it was compressed by a scale factor of 0.4
The rule is
y' = k * y
Where k is the scale factor (i.e. k = 0.4)
So, we have
y' = 0.4 * -∛x
y' = - (0.4)∛x
Lastly, the function is translated 2 units left;
The rule is
(x, y) → ( x - 2 ,y)
So, we have
[tex]y' = ( 0 .4)\sqrt[3]{x - 2}[/tex]
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Predictor variable: proximity from primary residence to farmland (in miles) outcome variable: animal rights opinion (scale from 0-50) what is the appropriate inferential statistic?
Closeness of primary dwelling to farmland as a predictor (in miles) outcome variable: support for animal rights (scale from 0-50) The proper inferential statistic to use is the correlation coefficient.
What is a predictor and response variable?
The variables that are measured or observed in an experiment are called response or dependent variables. Any other elements in the experiment that the researcher may be able to control or evaluate and that may have an effect on the result are known as predictor, explanatory, or independent variables.A predictor variable example is what?
When choosing employees, for instance, potential employees' future job performance may be predicted using factors like their qualifications, relevant work experience, and job-specific skills (such computer proficiency or the ability to speak a particular language).Is a predictor variable dependent or independent?
The result variable is sometimes referred to as the response or dependent variable, whereas the risk factors and confounders are known as the predictors, explanatory, or independent variables. Regression analysis uses the notation "X" for the independent variables and "Y" for the dependent variables.Learn more about predictor variable
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The measure of two supplementary angles, ls and lt, are in the ratio of 7:3. find the value of mls.
The value of measure of ls is 126 degrees.
It is given in the question that the measure of two supplementary angles, ls and lt, are in the ratio of 7:3.
We have to find the value of measure of ls.
Let the measure of two supplementary angles ls and lt be 7x and 3x respectively.
We know that, the sum of measure of two supplementary angles is 180 degrees.
Hence, according to the data given in the question, we can write,
7x + 3x = 180 degrees
10x = 180
x = 180/10
x = 18 degrees
Hence,
mls = 7x = 7*18 = 126 degrees.
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Let the vector v have an initial point at (6, 3) and a terminal point at (2, 2).
Determine the components of vector V.
√17 unit is the components of vector V .
what is components of vector?
A vector quantity has a magnitude and a direction as its two attributes. You must compare both the magnitude and the direction of two vector quantities of the same type.
The initial and terminal points of a vector v are given by
(6, 3) and (2, 2).
Hence:
The component form of v is
V = ( 2 - 6) ( 2 - 3)
= ( -4 , -1)
The length of the vector is
l v l = [tex]\sqrt{(-4)^{2} + ( -1)^{2} }[/tex] = √17 unit
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Double a number minus five is 11. What is the number?.
Answer:8
Step-by-step explanation: 8 *2=16-5=11
please help!
Given an arithmetic progression -8, -3, 2,.... Determine three consecutive terms in this progression which sum up to 111.
Answer:
9th, 10th and 11th terms; 32, 37 and 42=============================
Given AP:
-8, - 3, 2, ...We observe that:
The first term is a = - 8,The common difference is d = -3 - (-8) = 2 - (-3) = 5.Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.
Use nth term formula:
aₙ = a + (n - 1)d = - 8 + (n - 1)*5 = - 8 + 5n - 5 = 5n - 13The following two terms are:
aₙ₊₁ = 5n - 13 + 5 = 5n - 8aₙ₊₂ = 5n - 8 + 5 = 5n - 3Their sum is 111, set an equation and solve for n:
5n - 13 + 5n - 8 + 5n - 3 = 11115n - 24 = 11115n = 135n = 135/15n = 9The three terms are 9th, 10th and 11th terms and they are:
5*9 - 13 = 45 - 13 = 3232 + 5 = 3737 + 5 = 42how can you begin solving a multi-step problem
Answer:
Step-by-step explanation:Answer:it Varys depending on the type of problem
Step-by-step explanation:Answer:
It Varys depending on what type of multi step problem
Step-by-step explanation:
if it has parentheses () then you do whatever problem is in the parentheses next is exponents which is the number of times a number is multiplied by itself the next thing you want to do is multiplication and division from left to right the last thing you will do for a multi step problem is Addition and subtraction from left to right always remember P. E.M.D.A.S for parentheses, exponents, multiplication, division, addition and subtraction.
There are two types of memberships for a book club
- an unlimited use of memebership for $50 per month or
- a monthly fee if $5 per book
Enter an equation needed to determine how many books in a month are needed for both plans to cost the same?
Answer:
9 books are needed for the plans to cost the same
Step-by-step explanation:
50 = 5 + 5x
45 = 5x
x = 9
Its solving polynomials. Help asap please
[tex] \: \Large \mathbb{ANSWER:}[/tex]
[tex] \: \: \boxed{ \rm{{x}^{2} - 4x - 2 - \frac{8}{x - 1} }} \\ \\ [/tex]
[tex] \: \: \text{Kindly Refer to the Attachement for the solution.}[/tex]
Answer:
jdyeu73801964rj79e91four more than five times x is the same as x increased by 26
Four more than five times x is the same as x increased by 26. The value of x is x=5.5
Given information can be written in the form of algebraic equation is :
5x+4=x+26
5x-x=26-4
4x=22
x=5.5
The equal to (=) symbol is used to unite two algebraic expressions to form an algebraic equation. Because polynomials are included on both sides of the equal sign, algebraic equations are sometimes referred to as polynomial equations. Variables, coefficients, constants, and algebraic operations like addition, subtraction, multiplication, division, and exponentiation are all components of an algebraic equation.
A mathematical statement with two equal algebraic expressions is called an algebraic equation. When P and Q are polynomials, the usual form of an algebraic equation is P = 0 or P = Q. Equations in algebra with only one variable are referred to as univariate equations, whereas equations with several variables are referred to as multivariate equations. The solution of an algebraic problem is always balanced.
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Substitute the expressions for length and width into the formula 2l 2w. distribute 2 to each term in the parentheses. combine like terms. inches
The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
What is perimeter of the rectangle?
The formula P=2l+2w, where l is the rectangle's length and w is its width, determines the perimeter P of a rectangle. The equation A=lw, where l is the length and w is the width, determines the area A of a rectangle.The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x+ 6
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2( l + w)
Given the following parameters
length l = 8x - 1
width w = 2x + 4
Substitute the expressions for the length and width into the formula;
P = 2(8x - 1 + 2x + 4)
P = 2(10x + 3)
Distribute 2 over each term in the parenthesis
P = 2(10x) + 2(3)
P = 20x + 6
Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6.
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The complete question is -
The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches
0
latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters. what are the possible numbers of minutes
latoya could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
The inequality is 16 + 5t ≥ 61 and it takes 9 minutes or more minutes to fill the tank with at least 61 liters of waters.
Inequality:
Inequality is defined as a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given,
Latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters.
Here we need to find the possible numbers of minutes Latoya could add water and we have to find the inequality also.
Let t be the number of minutes.
So, now we can start with 16 liters and every minute (t) you plan to add 5, the final product will have at least (≥) 61 so the equation would be:
=> 16 + 5t ≥ 61
=> 5t ≥ 61 - 16
=> 5t ≥ 45
=> t ≥ 45/5
=> t ≥ 9
So, Latoya need 9 minutes or more to fill the tank with at least 61 liters.
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why might a dot plot not be the best choice for graphing
Answer:
Dot plots are hard to construct when dealing with larger, more precise data sets. This makes it difficult to read multiple data points, and it gets very confusing after a while. Therefore, it would not be a good choice for graphing due to its inaccuracy.
Answer:
Dot plot aren't too good for large sets of datas. If you also got many data that are close together, the more you got the harder it will be might to read the data that your doing
c. Write an equation for which every real number is a solution. Choose the correct answer below.
OA. 7(x-2)=2(x-7)
OB. 2(x-7)=2(x-7)
OC. x+2=x+7
calculate the median number of close friends females had. show your work
Proportion of females who have less than 3 close friend working note
What is the statistical median?
The midway number in a set of data is known as the median. The data should first be arranged and ranked from smallest to greatest. Divide the total number of observations by two to get the midway value. The value in that location is the median if there are an odd number of observations; otherwise, round the number up.(a) Mean =1.04
Median=1
assuming the number of close friends as a whole value, our mean is also 1.
the distribution is roughly symmetric. because mean is approximately equal to median.
The explanation is provided in the image attached above;
Answer (b)Median number of a close friend for females is 1.
The calculation for median is provided in the image.
Answer(c) According to the shape of the distribution as we have observed from the data we can say that the median calculated for close friends of females is the same as the mean number of close friends for men.
Here we are not assuming the number of close friends in decimal(because it is not a continous variable).
Answer (d) P(less than 3) = P(0) + P(1) + P(2)
= 0.353+0.368+0.191=0.912
Proportion of females who have less than 3 close friend
working note:
m= mean =1.04
probability = ( e-m x mr) / r
P(0) = (e-1.04 x 1.040 ) / 0 = 0.353
P(1) = (e-1.04 x 1.041 ) / 1 = 0.368
P(2) = (e-1.04 x 1.042 ) / 2 = 0.191
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The complete question is -
The following table reports counts of the number of "close friends" reported by a sample of men and a sample of women. Number of close friends 0 1 2. 3 4 Total Number of male respondents 20 12 10 5 N 49 Number of female respondents 25 13 9 6 2 2 55 a. Is the distribution corresponding to the number of female respondents roughly symmetric, skewed to the right, skewed to the left? Explain. b. Calculate the median number of close friends for females. Round your answer to two decimal places c. Based on the shape of the distribution (and only accounting for the number of close friends for females), do you expect the median calculated in part b. to be greater than the mean, smaller than the mean, or about the same as the mean number of close friends for men? Do not calculate the mean. d. What is the proportion of females who say they have less than 3 close friends? Give an exact answer.
Question.
Rectangle ABCD is shown above. Which of the following expressions
can be used to determine the length of diagonal AC?
O√64 - w²
O√64+w²
O 64-w²
O 64+w²
The length of the diagonal AC can be calculated using equations:
= √(64 + W²).
The correct option is B.
What exactly is the Pythagorean Theorem?The Pythagorean theorem states that the total of the squares upon that legs of a right triangle equals the square upon that hypotenuse (the side opposite this same right angle)—or, in popular algebraic notation:
a² + b² = c².
According to the given data:The length of the rectangle = 8
The width of the rectangle = w
The hypotonus of the rectangle = p
Using the Pythagoras formula:
P² = L² + W²
P = √(L² + W²)
Putting the value of Length = 8
P = √(8² + W²)
P = √(64 + W²)
The length of the diagonal AC can be calculated using equations:
= √(64 + W²).
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write each expression as a power
5^8 x 25
3^13 x 27
6^15 x 36
2^9 x 32
Answer:
6703488×1810
9
Step-by-step explanation:
help me with this question! explanation pls
Answer:
the volume increases by a factor of 27
Step-by-step explanation:
pretend that the volume V can be
V=l×w×h 'l' is length, 'w' is width, and 'h' is height. Let's increase all of those measures by a factor of 3.
The new volume will be V': V'=3l × 3w × 3h
we can rearrange:V'=3×3×3×l×w×h
we now have l×w×h by itself: V'=3^3 ×l×w×h=3^3×V
You can now see that if all the linear dimensions of the prism are tripled, we get an increase of 3^3 to the original volume:
V'=27V
how many mg of vitamin c does tomato juice have per serving?
The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as?
The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
What is inferential statistics?Statistical inference is the method of using data analysis to infer characteristics of a probability distribution. Inferential statistical analysis deduces population properties, for example, by testing hypotheses and generating estimates. The observed data set is assumed to be a sample from a larger population. Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.Descriptive statistics is only concerned with the properties of the observed data and does not assume that the data come from a larger population. Inferential statistics differ from descriptive statistics.Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
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A biologist recorded plant heights in centimeters:
23, 21, 3, 31, 27, 28, 32, 24, 30
The outlier is removed from the data set. By how many centimeters does
the range decrease? Help
Answer:
18 cm
Step-by-step explanation:
Range = Largest Number - Smallest Number
We know the following from the original data set:
Largest Number = 32 cm
Smallest Number = 3 cm
Original Range = 32 cm - 3 cm = 29 cm
The outlier is 3 cm because all the other numbers are relatively close to ine another in their 20s and 30s. If we remove 3 cm from the data set, we know the following:
Largest Number = 32 cm (Doesn't change)
Smallest Number = 21 cm
New Range = 32 cm - 21 cm = 11 cm
We can compare the two ranges by subtracting the larger range from the smaller range:
Range Difference = 29 cm - 11 cm = 18 cm
Therefore, the range decreases by 18 cm when we remove the outlier.
Ensuring that data is collected the same way each time it is collected is an example of:_______.
Ensuring that data is collected the same way each time it is collected is an example of data consistency.
What is data consistency?In database systems, consistency refers to the requirement that any given database transaction only changes affected data in permitted ways. Data written to a database must be valid according to all defined rules, including constraints, cascades, triggers, or any combination, for the database to be consistent. This operation can be modified per transaction. So, for example, a programmer can specify that only two nodes must read newly input data before recognizing data consistency. Once it crosses that barometer, it is considered consistent data. Data consistency is demonstrated by ensuring that data is collected in the same manner each time it is collected.Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.
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∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-9)^{\circ}∠A=(2x−9) ∘ and m\angle B=(2x+21)^{\circ}∠B=(2x+21) ∘ , then find the measure of \angle A∠A.
==================================================
Work Shown:
A+B = 180 since the angles are supplementary
(2x-9)+(2x+21) = 180
4x+12 = 180
4x = 180-12
4x = 168
x = 168/4
x = 42
Then,
A = 2x-9 = 2*42-9 = 75 degreesB = 2x+21 = 2*42+21 = 105 degreesAs a check, A+B = 75+105 = 180 to confirm the answer.
explain how you got it
The value of AB in the geometry is 24 units.
How to find the length AB using geometry?According to the diagram,
BD ≅ BC
BD = 5x - 26
BC = 2x + 1
AC = 43
Therefore, the value of AB can be found using the knowledge of geometry.
BD = BC
5x - 26 = 2x + 1
5x - 2x = 1 + 26
3x = 27
divide both sides by 3
x = 27 / 3
x = 9
Therefore,
BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19
AC = BC + AB
AB = AC - BC
AB = 43 - 19
AB = 24 units
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3/15 in simplist form
Answer: 1/5
Step-by-step explanation: 3/15 divided by 3= 1/5
The answer is 1/5.
First, You have to figure out if there are any numbers that go into both the numerator and denominator evenly.
This number, in this problem, would be three.
This is because 3/3=1 and 15/3=5.
Given that it asks for a fraction in the simplest form, we of course have order those numbers as numerator and denominator.
The three is the numerator, or, above the fifteen, or the denominator.
This must mean that the one is the numerator.
Because the 1 is the numerator, that must mean the 5 is the denominator, which brings us to the answer.... 1/5
