Mathematics College

Chris has 5 1/2 cups of water in a pitcher. He pours 3/8 cup of water into a glass. How many cups of water is left in the pitcher? Enter your answer in the box as a mixed number in simplest form.

The Answer is 5 1/8

Answers

Answer 1
The answer the question is 5 1/8
Answer 2

Answer:

The Answer is 5 1/8

Step-by-step explanation:

Related Questions

365 x 11? please answer!!!

Answers

365 x 11 = 4015

hope this helps

The expression 365 multiplied by 11 is equal to 4,015.

We have,

Calculating 365 multiplied by 11 is the basic multiplication algorithm.

This algorithm involves multiplying each digit of the multiplier (11) by each digit of the multiplicand (365), starting from the rightmost digit and moving toward the left

365 multiplied by 11 equals 4,015.

To explain the calculation:

We can perform long multiplication to find the product of 365 and 11:

   365

x   11

------

  365   (multiply 365 by 1)

+3650   (multiply 365 by 10)

------

 4015   (sum the two products)

Therefore,

365 multiplied by 11 is equal to 4,015.

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Gordon Rosel went to his bank to find out how long it will take for $2,500 to amount to $3,090 at 6% simple interest. Calculate the number of years. (Round time in years to the nearest tenth.)

Answers

It will take 4 years
A(t) = P(1+rt)
2310 = 1800(1+0.0775*t)
1.2833 = 1+0.0775t
0.0775t = 0.2833

the sum of 5 times a number and 2 is equal to 4 times the number

Answers

5x +2 =4x

subtract 2 from each side

5x= 4x-2

subtract 4x from each side

x = -2


write an equation of the circle that is tangent to both axes with radius sqrt5 and center in quadrant 3

Answers

check the picture below.

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 ~~ \begin{array}{lllll} center~(&\quad {{ h}},&\quad {{ k}}\quad )\qquad radius=&{{ r}}\\ &-\sqrt{5}&-\sqrt{5}&\sqrt{5} \end{array} \\\\\\\ [x-(-\sqrt{5})]^2+[y-(-\sqrt{5})]^2=(\sqrt{5})^2 \\\\\\ (x+\sqrt{5})^2+(y+\sqrt{5})^2=5[/tex]

A superhero recently asked his nemesis how many cats she has. She answered with a​ riddle: "Seven-eighths of my cats plus five." How many cats does the nemesis have?

Answers

Final answer:

The question presents a riddle that can be solved by setting up and solving an algebra equation. Based on the provided information, the solution to the problem is that the nemesis has 40 cats.

Explanation:

The problem describes a riddle: "Seven-eighths of my cats plus five." This scenario is a typical mathematical representation of an algebra problem where you need to find the total number of cats.

Let us denote the total number of cats as 'C'. According to the riddle, 7/8 of the cats plus 5 equals the total cats. As per this, the equation can be written as 7/8*C + 5 = C. Solving this will lead us to find the number of cats.

Subtract 7/8*C from both sides of the equation: 5 = C - 7/8*C, which simplifies into: 5 = 1/8*C. To solve for 'C', we then multiply both sides of the equation by 8: 5*8 = C. Hence, the nemesis has 40 cats.

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Using simple linear regression, calculate the trend line for the historical data. say the x axis is april = 1, may = 2, and so on, while the y axis is demand. (round your intercept value to the nearest whole number and slope value to 2 decimal places.

Answers

Given a table of historical demand for a product as follows:

[tex]\begin{tabular} {|c|c|} &Demand\\[1ex] April&60\\ May&55\\ June&75\\July&60\\August&80\\September&75\\ \end{tabular}[/tex]

The linear regression equation is given by

[tex]\hat{Y}=bx+a[/tex]

where:

[tex]b= \frac{n\Sigma xy-\Sigma x\Sigma y}{n\Sigma x^2-(\Sigma x)^2} [/tex]
and
[tex]a= \frac{1}{n} (\Sigma y-b\Sigma x)[/tex]

We calculate the required values using the following table, where
April = 1, May = 2, and so on.

[tex]\begin{tabular} {|c|c|c|c|} X &Y&X^2&XY\\[1ex] 1&60&1&60\\ 2&55&4&110\\ 3&75&9&225\\ 4&60&16&240\\ 5&80&25&400\\ 6&75&36&450\\[1ex] \Sigma X=21&\Sigma Y=405&\Sigma X^2=91&\Sigma XY=1,485 \end{tabular}[/tex]

Thus,

[tex]b= \frac{6(1,485)-21(405)}{6(91)-(21)^2} \\ \\ = \frac{8,910-8,505}{546-441} = \frac{405}{105} \\ \\ \approx3.86[/tex]

and

[tex]a= \frac{1}{6} (405-(3.86)(21)) \\ \\ = \frac{1}{6} (405-81)= \frac{1}{6} (324) \\ \\ =54[/tex]

Therefore, the trend line for the historical data is given by [tex]\hat{Y}=3.86x+54[/tex]

He total cost (in dollars) of producing xx coffee machines is c(x)=2300+40x−0.9x2. c(x)=2300+40x−0.9x2. (a) find the exact cost of producing the 21st machine.

Answers

$2743.1 .

Cost of producing 21st machine = $2743.1 .

What is function?A function is defined as a relationship between a set of inputs that each have one output. A function is a relationship between inputs in which each input is related to exactly one output. Every function has a domain and a codomain, as well as a range. In general, a function is denoted by f(x), where x is the input.When f and its derivatives are substituted into the equation, a solution is a function y=f(x) that satisfies the differential equation.The highest order of any derivative of the unknown function that appears in the equation is the order of a differential equation.

Given function,

c(x)=2300+40x−0.9x².

To find the cost of producing the 21st machine,

We have to find c(21).

c(21) = 2300+40(21)−0.9(21)²

       = 2300 + 840 - 0.9 x 441

       = 2300 + 840 - 396.9

       = $2743.1

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Final answer:

To find the exact cost of producing the 21st coffee machine, substitute x = 21 into the given cost function, resulting in a cost of $2743.1.

Explanation:

The question asks for the exact cost of producing the 21st coffee machine given the cost function c(x) = 2300 + 40x - 0.9x². To find this, we substitute x = 21 into the cost function.

First, let's plug in x = 21 into the cost function:

c(21) = 2300 + 40(21) - 0.9(21²)c(21) = 2300 + 840 - 0.9(441)c(21) = 3140 - 396.9c(21) = 2743.1

Therefore, the exact cost of producing the 21st machine is $2743.1.

How to divide 546 divided 78

Answers

7 is the answer to this question
You can either do long division or list out 78's multiples. 

          007
1. 78√546 

2. 78, 156, 234, 312, 390, 468, 546

What is 5x923 in expanded
form

Answers

4,615

Hope this helped!
5 x 900+20+3
There you go

solve the system of equations by graphing 4x-5y=20

Answers

Here is your graph of the system. Where they cross is the answer, which is -4. Pretty much you have to graph each equation and where they meet is the answer.

and doing some vandalizing to the posted image by MathJot, check the picture below.

[tex]\bf \begin{cases} 4x-5y=20\\ 3x+y=-4 \end{cases}\\\\ -------------------------------\\\\ 4x-5y=20\implies 4x-20=5y\implies \cfrac{4x-20}{5}=y\\\\\\ \boxed{\cfrac{4x}{5}-4=y} \\\\\\ 3x+y=-4\implies \boxed{y=-4-3x}[/tex]

Alan bought 3 pencils and a notebook. The notebook cost $6, and he spent a total of $12. How much did each pencil cost? Use p to represent the cost of each pencil. A. ; each pencil cost $2.50. B. ; each pencil cost $1.50. C. ; each pencil cost $2. D. ; each pencil cost $2.

Answers

So the pencils all together would be $6 so divide that by 3 and you get D as your answer each pencil costs $2

Cost of each pencil will be $2

What is Linear Equation ?

A linear equation is an equation in which the highest power of the variable is always 1 .

Number of pencil bought = 3

Number of notebook bought = 1

Cost of each notebook = $6

Cost of each pencil = ? let say its = x

Total money spent = $12

according to question , linear equation will be :

3* (x) + 1 * (6) = 12

3x = 6

x = 2

cost of each pencil will be $2

answer is d) $2

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A construction firm is trying to decide which of two models of a crane to purchase. Model A costs $100,000 and requires $4,000 per year to maintain. Model B has an initial cost of $78,000 and a maintenance cost of $13,000 per year. For how many years must model A be used before it becomes more economical than B? (Round your answer to one decimal place.)

Answers

Let A and B be the functions which calculate the cost of purchase and maintenance of the models for x years.

The functions are as follows: 

A(x)=100,000+4,000x                                (dollars)

B(x)=78,000+13,000x                              (dollars)


Model A becomes more economical than Model B when A(x)<B(x), 

so we solve:

100,000+4,000x<78,000+13,000x  

100,000-78,000<13,000x-4,000x
 
         22,000< 9000x
               
                 22<9x

                    x>22/9=2.444

Model A becomes more economical in the third year, that is after the first 2 years.



Which number when multiplied by 3/4 gives a product between 3/4 and 1?

A: 0
B: 1/4
C: 3/4
D: 1 1/4

Answers

1 1/4 = 5/4

5/4 * 3/4 = 15/16


Answer is D 1 1/4

D is the answer
3/4*1 1/4

Find an equation of the sphere that passes through the origin and whose center is (â2,2,3). be sure that your formula is monic.

Answers

Um.....
I am not sure about this sorry.

Felicia has 34 quarters,25 dimes and 36 pennies,how many coins does Felicia have?

Answers

Your math problem would be 36+34+25 which equals 95

In order to find the total number of coins, we need to add all the coins that she has:

34 coins + 25 coins + 36 coins = 95 coins

Felicia has a total of 95 coins.

The correct answer is C


Kalesha is purchasing a laptop. The original price of the laptop is $900. The store is offering 10% off on all computers. Kalesha has a $100 gift card.

How should Kalesha determine the amount she will pay for her computer?
Subtract $100, then take 10% off.Take 10% off, then subtract $100.

Kalesha will pay  


The answer is : $710

Answers

I believe the answer is $710
Answer:

The amount Kalesha will pay for her computer is:

                      $ 710

Step-by-step explanation:

It is given that:

The original price of the laptop is $900.

The store is offering 10% off on all computers.

Kalesha has a $100 gift card.

Now in order to calculate the amount Kalesha will pay we first have to find the cost that will be reduced on a offer of 10% provided by the store and subtract this reduced price from the original price ; and finally we again subtract $ 100 from this resulting price.

When a offer of 10% is applied to the computer we have:

Price reduced on offer=10% of original price

i.e.

Price reduced on offer=10%×900

i.e.

Price reduced on offer=0.10×900

i.e.

Price reduced on offer=$ 90

Cost of Computer= Original price-Price reduced on offer

i.e.

Cost of computer= 900-90

i.e.

Cost of Computer=$ 810

Now, when Kalesha uses her gift card of $ 100 then,

Amount Kalesha will pay= $ (810-100)

i.e.

Amount Kalesha will pay= $ 710

An arithmetic sequence has this recursive formula

Answers

Answer: B
This is because 7 is standing in place for a1 and -4 is standing in place for d in the explicit equation: an=a1+(n-1)d

Answer:

[tex]\text{The explicit formula is }a_n=7+(n-1)(-4)[/tex]

Option B is correct.    

Step-by-step explanation:

Given the recursive formula of arithmetic sequence

[tex]a_1=7[/tex]

[tex]a_{n}=a_{n-1}-4[/tex]

we have to find the explicit formula for the above sequence.

[tex]a_{n}=a_{n-1}-4[/tex]

[tex]a_{n}-a_{n-1}=-4[/tex]

which is the common difference, d=-4

The explicit formula for A.P is

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_n=7+(n-1)(-4)[/tex]

Option B is correct.

Find the cost of laminating decolam to a circular table of radius 1.4 m if the rate of decolam is rupees 50 per square metre

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ -----\\ r=1.4 \end{cases}\implies A=\pi 1.4^2\implies A=\stackrel{m^2}{1.96\pi} \\\\\\ \textit{now, decolam is }\stackrel{rupees}{50}~per~m^2\implies \stackrel{\textit{total cost}}{50\cdot 1.96\pi }[/tex]

Nancy purchased bed sheets for 36.00. They were on sale for 25% off. What was the original price

Answers

36.00 ÷ (1 - 0.25)
36.00 ÷ 0.75
$48

Hope this helps!
it is $144 because $36 is just 25% so you would multiply
$36 x 4 =144 hopes this helps you.

Tina and Bruce are each rolling a 1 to 6 number cube . they are looking for different ways to roll two factors whose product is greater than 14. how many different ways will they find ?

Answers

Final answer:

To find the different ways to roll two factors whose product is greater than 14, we list the different outcomes when rolling a number cube twice.

Explanation:

To find the different ways to roll two factors whose product is greater than 14, we need to consider the possible outcomes when rolling a number cube twice.

First, we look at the factors of 14 and determine that they are 1, 2, 7, and 14.

Now, we can list the different ways to roll two factors:

If Tina rolls a 1 and Bruce rolls a 15 (6 + 9), the product is 15 which is greater than 14.

If Tina rolls a 2 and Bruce rolls a 10 (3 + 7), the product is 20 which is greater than 14.

If Tina rolls a 7 and Bruce rolls a 3, the product is 21 which is greater than 14.

If Tina rolls a 14 and Bruce rolls a 2, the product is 28 which is greater than 14.

Therefore, there are 4 different ways for Tina and Bruce to roll two factors whose product is greater than 14.

It takes Awan 8 1/3 minutes to run a mile, it takes Kate 1 1/5 time longer. How long does it take Kate to run one mile?

Answers

First turn the fractions to decimals 1/3=.33 1/5=.2 Then multiply 8.33 x 1.2=9.996

Answer:

10 minutes

Step-by-step explanation:

Given: It takes Awan  [tex]8\frac{1}{3}[/tex] minutes to run a mile, it takes Kate  [tex]1\frac{1}{5}[/tex] time longer.

To Find: How long does it take Kate to run one mile.

Solution:

Time taken by Awan to run a mile = [tex]8\frac{1}{3}[/tex] [tex]\text{minutes}[/tex]

                                                         = [tex]\frac{25}{3}[/tex] [tex]\text{minutes}[/tex]

Time taken by Kate to run a mile = [tex]1\frac{1}{5}\times\text{time taken by Awan}[/tex]

                                                       =  [tex]\frac{6}{5}\times\text{time taken by Awan}[/tex]

Therefore,

on putting values

The time taken by Kate =  [tex]\frac{6}{5}\times\frac{25}{3}[/tex] [tex]\text{minutes}[/tex]

                                      = [tex]\frac{6\times25}{5\times3}[/tex]

                                      = [tex]10[/tex] [tex]\text{minutes}[/tex]

Hence, the time taken by Kate to complete one mile is [tex]10[/tex] [tex]\text{minutes}[/tex]

This is a standard deviation contest. you must choose four numbers from the whole numbers 22 to 9595, with repeats allowed. choose four numbers that have the largest possible standard deviation. (give your answer in the form of comma separated list of numbers in ascending order.)

Answers

Given a set numbers, to get the largest possible standard deviation, we use the numbers at the extreme.

Therefore, if we are to choose 4 numbers from 22 to 9,595 such that we have the largest possible standard deviation, the four numbers are 22, 22, 9,595 and 9,595.

Alex is saving money because she would like to purchase the new video gaming system that everyone has been talking about. After two weeks of saving, she had $47. After 24 weeks of saving, she had $430. Approximately how many dollars per week did Alex save on average between weeks 2 and 24?

Answers

About $7 a day because nothing multiplied by two gives you $47.
First we take out the first two weeks

24-2 = 22
430-47 = 383

Now we are just left with after the two first weeks

383/22= 17.41 dollars

What is the least number of line segments that make exactly 100 squares?

Answers

the answer for this question is 10


Answer with explanation:

First Possibility

→→100 Squares in a Row Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

→→100 Squares in a Column Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

 So, total number of line segments =101 +2=103

Second Possibility

If you draw 11 line segments of equal length in a column and 11 line segments in a row, you can draw 100 square of equal size.

   So, total number of line segments =11+11=22

the length of a banquet table is 3 feet longer than 5 times it's width. if the perimeter is 54 feet. What are the dimensions of the table?

Answers

First set up the equations for the length:

5x + 3

Now, lets find the perimeter:

5x + 3 +5x + 3 + x + x = 54
12x + 6 = 54
12x = 48
x = 4

Hope this helps!

Let f (x) = ax + b and g(x) = cx + d, where a, b, c, and d are constants. determine necessary and sufficient conditions on the constants a, b, c, and d so that f ◦ g = g ◦ f

Answers

[tex]f(x)=ax+b[/tex]
[tex]g(x)=cx+d[/tex]

[tex]f\circ g(x)=a(cx+d)+b=acx+ad+b[/tex]
[tex]g\circ f(x)=c(ax+b)+d=acx+bc+d[/tex]

In order for [tex]f\circ g=g\circ f[/tex] to hold, we require [tex]ad+b=bc+d[/tex], which can be rearranged slightly as [tex](a-1)d=(c-1)b[/tex] or [tex]\dfrac{a-1}{c-1}=\dfrac bd[/tex], etc.
Final answer:

The necessary and sufficient conditions for f ◦ g = g ◦ f are that a and c must be non-zero and have the same sign, while b and d can be any values.

Explanation:

To determine the necessary and sufficient conditions for f ◦ g = g ◦ f, we need to find the values of a, b, c, and d that satisfy this equation.

a and c must be non-zero, as dividing by zero is undefined in functions.If a and c have different signs, f ◦ g and g ◦ f will have different slopes, which means they will not be equal. Therefore, a and c must have the same sign.If a and c have the same sign, b and d can be any values, as they won't affect the slopes of the functions.

Therefore, the necessary and sufficient conditions for f ◦ g = g ◦ f are that a and c must be non-zero and have the same sign, while b and d can be any values.

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845,001 rounded to the nearest ten thousand

Answers

Answer:

850,000

Step-by-step explanation:Meow

Find the area of a triangle with vertices at D(2,0), B(-1,0), and R(2,-7)

Answers

check the picture below.

you can pretty much get the lengths right off of the grid.

Which function below has the largest slope? f(x) x f(x) −3 −10 −1 −7 1 −4 g(x) equals one half x plus 3 h(x) Lance gains 1 level each time he plays his favorite video game. He started at level 10.

Answers

f(x) and h(x) both have a slope of 1 and g(x) has a slope of 0.5 from the info you gave. check for typos

Answer:

f(x)

Step-by-step explanation:

help me with this I don't get it help4help?

Answers

1) Divide 3/4 by 1/2. Remember how to divide fractions. Switch the problem into a multiplication problem. 
3/4 x 2/1 = 3/2 (so you could only have 1 and 1/2 servings with 1/2 pound of chicken in each serving. 

2) Set up a little algebra problem. Let x = the multiplier of the original 3/4 pounds of chicken needed to make two full servings with 1/2 pound of chicken in each. 
(3/4)x = 2(1/2)            (Found this online V(0-0)v)
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