Betsy has 4 1/3 cups of lemonade in a pitcher. She pours 1 2/3 cups into a glass. How much lemonade remains in the pitcher?

Answers

Answer 1

let's convert the mixed fractions to improper fractions firstly and then subtract.

\(\stackrel{mixed}{4\frac{1}{3}}\implies \cfrac{4\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{13}{3}}~\hfill \stackrel{mixed}{1\frac{2}{3}} \implies \cfrac{1\cdot 3+2}{3} \implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{3}-\cfrac{5}{3}\implies \cfrac{13-5}{3}\implies \cfrac{8}{3}\implies 2\frac{2}{3}\)


Related Questions

Which image shows a rotation

Which image shows a rotation

Answers

The image that shows a rotation is A. Image A.

How does this show rotation ?

When a figure is moved around a fixed point known as the center of rotation, it undergoes a transformation known as rotation. While the center remains stationary during this process, every other point on the figure is rotated at an identical distance and angle around said center.

The image in A shows a rotation because the orientation of the shape is still pointing in the same direction which means that this was a clockwise rotation.

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if you were to design a class to represent a fraction, what 2 instance variables would be necessary?

Answers

The two necessary instance variables for representing a fraction would be the numerator and the denominator.

What are the essential instance variables for representing a fraction?

The numerator represents the top part of the fraction indicating the number of equal parts being considered. The denominator represents the bottom part of the fraction indicating the total number of equal parts the whole is divided into.

These two variables are crucial for accurately representing and performing operations on fractions such as addition, subtraction, multiplication, and division. They allow for precise manipulation and comparison of fractional values within a programming class.

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Find the value of x that makes the statement true.

3/5x-5+x-4 =-1

A. -5
B. 5
C. 7
D. -7

Answers

Step-by-step explanation:

I guess the equation is

(3/5)x - 5 + x - 4 = -1

or is it

(3/5)(x - 5) + x - 4 = -1 ?

or is it

3/(5x) - 5 + x - 4 = -1 ?

or is it

3/(5x - 5) + x - 4 = -1 ?

or even something else ?

the way you wrote it, following the rules strictly, it would be the first option I listed.

so, it is

(3/5)x - 5 + x - 4 = -1

3x/5 - 5 + x - 4 = -1

3x/5 -9 + x = -1

3x/5 + x = 8

3x + 5x = 40

8x = 40

x = 5, and B would be the right answer.

Answer:

B

Step-by-step explanation:

5

please solve :( i can’t figure it out whatsoever

please solve :( i cant figure it out whatsoever

Answers

Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

Voltage and current laws

The relevant circuit relations are ...

Kirchoff's voltage law: the sum of voltages around a loop is zeroKirchoff's current law: the sum of currents into a node is zeroOhm's law: voltage is the product of current and resistanceSeries: elements in series have the same currentParallel: elements in parallel have the same voltage

Voltage

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

Current

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

Resistance

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

b) Wavelength

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

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please solve :( i cant figure it out whatsoever
please solve :( i cant figure it out whatsoever

solve for x. 4x-30=2x

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

x=15

what is the population being studied warts

Answers

The average population being studied is people with warts. Specifically, this population includes individuals of all ages who have been diagnosed with any type of wart caused by a virus, such as common warts, plantar warts, and flat warts.

The population being studied is people with warts. Warts are caused by a virus and can occur anywhere on the body. Common warts, plantar warts, and flat warts are the most common types. Common warts are usually found on the hands and fingers, and are usually round and raised. Plantar warts are found on the soles of the feet and can be painful. Flat warts are usually found on the face, arms, and legs, and are generally flat and smooth. People of all ages can be affected by warts, and they are highly contagious and can be spread through contact with an infected person or surface. Treatment options include over-the-counter medicines and prescription medications, as well as cryotherapy and laser treatments. This population is being studied to better understand the causes, risk factors, and treatments for warts.

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The complete question is

what is the population being studied warts and  the prevalence of warts in the population being studied?

Which of the following are measures of central tendency? Check all that apply.
A.The median
B.A sample statistic
C.The mode
D.The lowest value
E. The mean

Answers

All the measures of central tendency are, The median, The mode, and The mean.

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;

There are some measures,

A. The median

B. A sample statistic

C. The mode

D. The lowest value

E. The mean

We know that;

The four measures of central tendency are mean, median, mode and the midrange.

Here, mid-range or mid-extreme of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set.

Hence, All the measures of central tendency are, The median, The mode, and The mean.

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. Let f be a function that is differentiable on the open interval (1,10)If f(2) = - 5 f(5) = 5 and f(9) = - 5 which of the following must be true?
I. f has at least 2 zeros
II. The graph of f has at least one horizontal tangent
III. For some c, 2 < c <5.f(c)=3
A. None
BI only
C. I and II only
D. I and III only
E. I, II and III

Answers

So the statement I: "f has at least 2 zeros" and II: "The graph of f has at least one horizontal tangent" and III: "For some c, 2 < c <5.f(c)=3" are true.

Hence the correct option is (E).

Given the function is differentiable on the open interval (1, 10).

Now it is also given that,

f(2) = - 5

f(9) = - 5

and f(5) = 5

Here we can see that between 2 and 5 the function crosses the X axis and again between 5 and 9 the function crosses the X axis.

So function f at least has 2 zeros.

We can see that, f(2) = f(9) = -5

Clearly the function is continuous and differentiable in interval (1, 10) so in interval (2, 9).

So by Rolle's Theorem we get at least one point 2 < c < 9 such that, f'(c) = 0.

So on that point the tangent is horizontal.

By intermediate theorem as f(2) = -5 and f(5) = 5 so between 2 to 5 function reached to all points between max and min value.

So statement III is also true.

Hence the correct option is (E).

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wats the domain and range of [1,3] , [-2,7] ,[ 3 ,-3 ], [4,5] , [1,-3]

Answers

Answer:

Domain={-2,1,3,4}Range={-3,3,5,7}

Explanation:

Domain and Range:

Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..


A circular fish pond is shown below. What
is the circumference of the pond? The radius is 18.5cm

Answers

Answer:

about 116.18

Step-by-step explanation:

Circumference is 2PI*radius

So it should equal 37*3.14 which equals about 116.18

Lindsey wants to figure out her final math grade scores are 88.5% 90% 82% 94.5% and 80% what is Lindsey‘s final average?

Answers

Answer:

87%

Step-by-step explanation:

88.5% + 90% + 82% + 94.5% + 80% = 435%435% ÷ 5 = 87%So, Lindsey's final average is 87%

I hope this helps!

Suppose that we have a data with 35 potential predictors. We want to run a subset selection procedure to find a single best model. Considering computational complexity only, the best subset selection approach is less preferred than the forward stepwise selection approach.

A.
False

B.
True

Answers

Considering computational complexity alone, the forward stepwise selection approach is preferred over the best subset selection approach. The statement is True.

Subset selection procedures involve trying out different combinations of predictors to find the best subset that provides the most accurate model. There are two commonly used subset selection approaches: best subset selection and forward stepwise selection.

In best subset selection, all possible subsets of predictors are considered, and the model with the best subset is selected based on some criterion (e.g., highest R-squared, lowest AIC, etc.). This approach involves a comprehensive search through all possible subsets, which can be computationally intensive, especially when the number of predictors is large. As the number of predictors increases, the computational complexity of best subset selection grows exponentially.

On the other hand, forward stepwise selection starts with an empty model and iteratively adds predictors one by one, selecting the predictor that improves the model the most at each step. This approach is less computationally complex than best subset selection because it explores a smaller number of combinations. Forward stepwise selection has a computational complexity of O(k^2n), where k is the number of predictors and n is the number of observations. It is much more efficient than the exponential complexity of best subset selection.

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Drew the graph of y=−3x^2 −12x+15, Indicate its vertex, its axis and all intercepts. Only solutions using completing the square will receve credit.

Answers

We can find the vertex of the parabola by completing the square using the formula :

`\((a-b/2a)² - (b²/4a)`\)

which is used to derive the vertex of the parabola. Here,

\(a= -3, b= -12\).

Hence,

\(`(a-b/2a)² - (b²/4a)\)

\(=(-12/-6)² - (-12)²/(4*-3)\)

= \(2² - 3 = -1\)

Therefore,

the vertex of the parabola is (-2, -1).

For finding the axis, we take the x-coordinate of the vertex and find the equation of the axis by equating the x-coordinate to that of the vertex. x=-2.

Since it is a quadratic equation of degree 2, it will have two intercepts: x-intercept and y-intercept.

Here, y=0 gives x=5/3 and 1.

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HELP ASAP I WILL MARK YOU BRAINLEAST

You roll a die ten times and get a six four of those times. What is the experimental probability of rolling a six?

PLS ANSWER CORRECTLY

Answers

The experimental probability of rolling a six is 0.4.

Answer:

1/3 is the experimental probability of rolling 6

Explanation:

Given, a die roll 10 times in which we get 6 three times. Total no. of  possible outcomes = 10 and number of favorable outcomes = 3

Therefore, the probability of getting 6 =  1/3.

The volume of a sphere is 5000pi m^3 What is the surface area of the sphere to the nearest square meter?

The volume of a sphere is 5000pi m^3 What is the surface area of the sphere to the nearest square meter?

Answers

Answer:

2nd chioce

Step-by-step explanation:







\( 350 \mathrm{y} \) C P sas \( \cos u \)

Answers

The given expression, \(\(350y \cdot C \cdot \cos(u)\)\), involves variables \(\(y\), \(C\)\), and \(\(u\)\) and their respective operations and functions.

The expression \(\(350y \cdot C \cdot \cos(u)\)\) represents a mathematical equation involving multiplication and the cosine function. Let's break down each component:

1. \(\(350y\)\) represents the product of the constant value 350 and the variable \(y\).

2. \(\(C\)\) is a separate variable that is being multiplied by \(\(350y\)\).

3. \(\(\cos(u)\)\) represents the cosine of the variable \(\(u\)\).

The overall expression represents the product of these three terms: \(\(350y \cdot C \cdot \cos(u)\)\).

To evaluate this expression or derive any specific meaning from it, the values of the variables \(\(y\), \(C\)\), and \(\(u\)\) need to be known or assigned. Without specific values or context, it is not possible to provide a numerical or simplified result for the given expression.

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[9 X (10 – 2)] = [2 + (5 x 2)]

Answers

Answer:

x=3

Step-by-step explanation:

Simplifying

9 + -2(x + -5) = x + 10

Reorder the terms:

9 + -2(-5 + x) = x + 10

9 + (-5 * -2 + x * -2) = x + 10

9 + (10 + -2x) = x + 10

Combine like terms: 9 + 10 = 19

19 + -2x = x + 10

Reorder the terms:

19 + -2x = 10 + x

Solving

19 + -2x = 10 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

19 + -2x + -1x = 10 + x + -1x

Combine like terms: -2x + -1x = -3x

19 + -3x = 10 + x + -1x

Combine like terms: x + -1x = 0

19 + -3x = 10 + 0

19 + -3x = 10

Add '-19' to each side of the equation.

19 + -19 + -3x = 10 + -19

Combine like terms: 19 + -19 = 0

0 + -3x = 10 + -19

-3x = 10 + -19

Combine like terms: 10 + -19 = -9

-3x = -9

Divide each side by '-3'.

x = 3

Simplifying

x = 3

Solve one step equalities using multiplication & division
X/2 = 17/1

Answers

Answer:

\( \sf \: x=34\)

Step-by-step explanation:

Let's solve your equation step-by-step.

x/2 = 17/1

Step 1: Cross-multiply.

x/2 = 17/1

x*(1)=(17)*(2)

x=34

X=34

Any expression divided by remains the same
X/2= 17

Multiply both sides of the equation by 2
X=34

9x^5 y^16
Which expression is equivalent to
45x^5 y^4

Answers

Answer:

45x^5y^16/9x^5y^4

Step-by-step explanation:

5x^y^4 is the answer

Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem.

Answers

Answer: 4/8

Step-by-step explanation:

From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.

To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:

= 1 2/8 - 6/8

= 4/8

She gave 4/8 to Mr Andrews.

a random sample of records of home sales from 2/15/93 to 4/30/93 from the files maintained by the albuquerque board of realtors gives the selling price (in thousands of dollars) and size (in square feet) of 13 homes. a regression line was made to predict the selling price of a home sold during this period from its size. in this context, what is the explanatory variable used here?

Answers

The overall answer of three parts :

The slope is positive. As the size of the home​ increases, the price should also increase.

(a) The variables and units in this regression are:

i) Size of homes ( x )  ( measured in \(ft^2\) )

ii) Selling price in ( y ) ( measured in dollars )

(b) Units of the slope will be :

unit of slope = dollar per square foot (i.e.  y / x )

(c) According to the above slope

The slope will be positive given that the increase of home size is directly proportional to the increase in price.

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The given question is incomplete, complete question is:

A random sample of records of sales of homes from February 15 to April 30, 1993, from the files maintained by the Albuquerque Board of Realtors gives the Price and Size (in square feet) of 117 homes. A regression to predict Price (in thousands of dollars) from Size has an R-squared of 71.4%. The residuals plot indicated that a linear model is appropriate.

Required:

a. What are the variables and units in this regression?

b. What units does the slope have?

c. Do you think the slope is positive or negative? Explain.

What is the total number of rabbits in the neighborhood in year 2

Answers

Answer:

6

Step-by-step explanation:

Write this statement as a conditional statement in the form “if p, then q.”

A ray divides an angle into two congruent angles. So, the ray is an angle bisector.

Answers

Answer:

if a ray divides an angle into two congruent angles, then the ray is an angle bisector.

Step-by-step explanation:

if p statement is before the comma, called the hypothesis of the conditional statement.

then q statement is after the comma and it is called the conclusion of the conditional statement.

find x, y, and z.


i'll mark brainliest, please help :)

find x, y, and z. i'll mark brainliest, please help :)

Answers

Answer:

z=1.6 y=3.9 x=0.6

Step-by-step explanation:

What is the first step to circumscribe a circle around a triangle? a Find the diameter b Find the angle bisectors c Find the perpendicular bisectors d Draw the circle

Answers

Answer:

Step 1-Construct the perpendicular bisector of one side of the triangle.

Step 2-Construct the angle bisector of another side of the triangle.

Explanation:

A circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet

how do I find the inverse function of

Answers

To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.

To find the inverse function of F(x) = 2x - 3, follow these steps

Replace F(x) with y. The equation now becomes y = 2x - 3.

Switch the positions of x and y, so the equation becomes x = 2y - 3.

Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.

Divide both sides by 2 (x + 3)/2 = y.

Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.

So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.

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--The given question is incomplete, the complete question is given

" How do I find the inverse function of F(x) = 2x - 3"--

What are the different ways to write ratios? Select all that apply for the ratio of 1 dog to 3 cats. Remember to look for which number goes first and which goes second.
2 points
1:3
1 to 3
1/3
3:1
3 to 1
PLEASE AWNSER ASAP

Answers

Answer:

1:3

Step-by-step explanation:

The first ratio to the second ratio, and this mark: symbolizes the ratio

2. Which expression below can be simplified to 2x + 11?
A. x + x + 11
B. x + 2 + 11
C. x + 7 + 4

Answers

A. x+x+11 is the expression can be best simplified for equation 2x+11

Explain equation

A statement that establishes the equivalence of two expressions is known as an equation in mathematics. It has two sides containing expressions on each, each separated by the equals symbol (=).

For example, the equation x + 2 = 5 asserts that the expression on the left side, x + 2, is equal to the expression on the right side, 5. This equation can be solved for the variable x, by subtracting 2 from both sides, to obtain x = 3, which is the value that satisfies the equation.

Given equation 2x+11

2x can be written as x+ x

So, expression can be written as

x+x+11

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Factor completely
16x^2y^4z^3+33xy^8z^5​

Answers

Answer:

xy^4 z^3 ( 16x + 33y^4 z^2)

Step-by-step explanation:

step 1 : see what variable you can take out , start with x see if there is x in the left and right side. and how many time you can take it out

next y same thing and then last z

with x = left side you x^2 and right side you have x = so u can take x out once left you with x

with y = left side y^4 and right side y^8 so you can take out y ^4 out left you with y^4

with z = left side z^3 and right side z ^5 you can take out z^3 left you with z^2

in mathematics to ______means to replace an expression with one that is equivalent to it


plzz need ans​

Answers

Answer:

I believe the answer is substitution

Step-by-step explanation:

Hope this Helps :)

i think its called a regular expression.. but i'm not 100% sure. Sorry if im wrong.

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Determine the amount of net accounts receivable reported on the Dec. 31, 2021, balance sheet. 4. Assume Redbud estimates 10% of the year-end balance in accounts receivable is uncollectible. a. Record the Dec. 31, 2021, adjusting entry for bad debts. b. Determine the amount of net accounts receivable reported on the Dec. 31, 2021, balance sheet. 5. Assume Redbud estimates uncollectible accounts with an aging schedule of year-end accounts receivable. An analysis of year-end receivables shows the following: Age group % of year-end receivables % estimated uncollectible 0-60 days 75% 5% 61-90 days 15% 10% Over 90 days 10% 40% a. Record the Dec. 31, 2021, adjusting entry for bad debts. b. Determine the amount of net accounts receivable reported on the Dec. 31, 2021, balance sheet. discretionary fiscal policy may fail to stabilize the economy or may even make the economy less stable because of: group of answer choices the business cycle. its ineffectiveness. lags in deciding on and implementing a policy change. government waste. flag question: question 15 Can you please help-thank you What is the origin of cold, wet air masses?A. Over water in tropical zonesB. Over land in polar regionsC. Over land in tropical areasD. Over water in polar regions Plz help asap!! This due in the morning solve. 3 + x = 4x + 12 What is an argument without evidence called? which of the following does not correctly describe kidney function? group of answer choices they produce urine of a constant composition at all times, in order to maintain homeostasis of extracellular fluid. they excrete metabolic waste products. they contribute significantly to long-term regulation of arterial blood pressure by maintaining the proper plasma volume. they secrete hormones. they assist in maintaining proper acid-base balance in the body. Disadvantages to use of the internet to provide career planning assistance include all of the following except that a. access and operation can be slow. b. bandwidth and other technical concerns diminish the effectiveness of audio and video c. databases can be updated more frequently. d. the internet is not a secure environment.