Katrina practices violin 4 times per week for 2/3 hour each time.Jeremy practices guitar for 3 times per week for 45 minutes each time.who practices more each week?how much more?

Answers

Answer 1

Katrina practices violin per week more than Jeremy by 25 minutes.

How is the practice time determined?

The practice time can be determined by converting the fractional hours to minutes for each practice so that like is compared to like.

Converting 2/3 hours gives 40 minutes.

Ordinarily, Jeremy spends more time each time than Katrina.  However, Katrina adds an additional practice time, which heightens her total practice time each week.

Data and Calculations:

The number of times that Katrina practices per week = 4 times

The time she practices each time = 2/3 hours or 40 minutes (2/3 x 60)

The total time she practices each week = 160 minutes (40 x 4)

The number of times that Jeremy practices per week = 3 times

The time he practices each time = 45 minutes or 3/4 hours

The total time he practices each week = 135 minutes (45 x 3)

The difference in practice time per week = 25 minutes (160 - 135)

                                                Katrina           Jeremy

Number of practices times         4                      3

Minutes practiced   (2/3 hours) 40 min    45 minutes

Total practice time                   160 min    135 min

Thus, we can conclude that Katrina practices violin per week more than Jeremy by 25 minutes.

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Related Questions

Find the measure of the missing angles.

Answers

Answer:

x=26, y=90

Step-by-step explanation:

This is what I did,

I knew that y = 90 because it is a Right Angle. I subtracted 90 - 64 and that got me = y 26

3=
X/
3

One step equations with positive whole number

Answers

Answer: x=6
Explanation: 3=x/3 multiply 3 to both sides and then 6=x or swap the numbers and get x=6

translation: (x,y) →(x - 5, y + 1)
Z(−3, –4), K(−2, −1), (0, -1)

Answers

The translation of the points as Z' ( - 8 , - 3 ), K' ( - 7 , 0 ) and K' ( - 5 , 0 ).

We are given the translation as:

(x , y)  → (x - 5 , y + 1)

Now we have some points:

Z (−3, –4)

K (−2, −1)

M (0, -1)

We need to translate these points.

For Z (−3, –4), we get the translation as:

Z (−3, –4) = Z' ( - 3 - 5 , - 4 + 1)

Z (−3, –4) = Z' ( - 8 , - 3 )

For K (−2, −1), we get the translation as:

K (−2, −1) = K' ( - 2 - 5 , - 1 + 1)

K (−2, −1) = K' ( - 7 , 0 )

For M (0, -1), we get the translation as:

M (0, -1) = K' ( 0 - 5 , - 1 + 1)

M (0, -1) = K' ( - 5 , 0 )

Therefore, we get the translation of the points as Z' ( - 8 , - 3 ), K' ( - 7 , 0 ) and K' ( - 5 , 0 ).

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One pizza will feed 5 people. How many pizzas are needed for 40 people?

Answers

Answer:

8 pizzas

Step-by-step explanation:

8 pizzas are needed. 40/5 = 8


A spring with a spring constant of 1N/cm is stretched and has elastic potential energy of 30 j. Calculate the extension experienced by
the spring.

Give your answer to 2 decimal places.

Answers

Th elastic potential energy of two decimal places is    k=60×1^2 N/M

Given that,

Spring has a potential energy of =30 J

we know that,

Energy of a spring=1/2 kx^2

here, x=1cm

x^2=0.01m

30=1/2 kx^2

30=1/2 k(0.01)^2

60=k(0.01)^2

k=60/(0.01)^2

k=60×1^2N/M

Hence the potential energy of two decimal places is k= 60×1^2 N/M

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This week Andrei got a promotion at work that came with a 2 % pay increase. If now his monthly salary is $ 1683 , how much was he making before the raise?

Enter your answer as a decimal. If needed, round to the nearest penny. Do not use commas.

Answers

1683 доллара - 102% . Найдем 1  процент и умножим его на 100%, тем самым получив ответ:

1) 1683 / 102 = 16.5 доллара - 1 % от всей зарплаты

2) 16.5 * 100 = 1650 - изначальная сумма, которую получал Андрей до повышения.

Ответ : 1650 $

Write the equation of the line that passes through the point P (0, 0) and is perpendicular to the line y = – 2x + 10.

Answers

The equation of the line that passes through the point (0,0) and is perpendicular to the line y=-2x+10 is .

We will be using the concept of slope and equation of straight line for this question. Here it has been said that the line passes through (0,0) which is the origin, so we know the point ([tex]x_{1},y_{1}[/tex]) is (0,0).This point will be required while solving the equation for the straight line. The line is said to be perpendicular to another line given by y=-2x+10. When two lines are parallel their slopes are equal and when two lines are perpendicular the product of their slopes is equal to -1. The slope of a line can be found from the equation of the line by dividing the coeeficient of x by the coefficient of y.

Slope of y=-2x+10 is -2

mx-2=-1⇒m=1/2

equation of a straight line,

[tex](y-y_{1} )=m(x-x_{1} )\\[/tex]

⇒y-0=[tex]\frac{1}{2}[/tex](x-0)

⇒y=[tex]\frac{x}{2}[/tex]

⇒2y=x

⇒2y-x=0

Thus the equation of the line that passes through (0,0) and is perpendicular to y=-2x+10 is 2y-x=0.

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What are the solutions to –24x – 24 = x3 + 8x2?

Answers

Answer:

–24x – 24 = x3 + 8x2

Step-by-step explanation:

-24x-24=x^3+8x^2

x^3+8x^2+24=-24x-24+24

x^3+8x^2+24=-24x

x^3+8x^2+24+24x=-24x+24x

x^3+8x^2+24x+24=0

Answer: x=-2

Step-by-step explanation:

[tex]-24x-24=x^3+8x^2\\-24x-24+24=x^3+8x^2+24\\-24x=x^3+8x^2+24\\-24x+24x=x^3+8x^2+24+24x\\0=x^3+8x^2+24x+24\\x^3+8x^2+24x+24=0\\x^3+8x^2+12x+12x+24=0\\(x)(x^2+8x+12)+(12)(x+2)=0\\(x)(x^2+2x+6x+12)+(12)(x+2)=0\\(x)((x)(x+2)+6(x+2))+(12)(x+2)=0\\(x+2)((x)(x+6)+12)=0\\ (x+2)(x^2+6x+12)=0\\x+2=0\\x+2-2=0+(-2)\\x=-2\\x^2+6x+12=0\\D=(-6)^2-(4)(1)(12)\\D=36-48\\D=-12\\Hence,\\The\ equation\ has\ no\ valid \ roots\\Thus,\\x=-2[/tex]

(3x 3 +4x 2 )+(3x 3 −4x 2 −9x)

Answers

Answer:

9x

Step-by-step explanation:

=9x+8x+9x-8x-9x

=9x

9x is going to be your answer

-1.12345...
rational, irrational and or real number?

Answers

Answer: Irrational Number

Step-by-step explanation: It's Irrational because it cant be represented as a simple fraction.

Irrational Number is going to be your answer

What is the domain of f(x) = 7/(x-10) - 7

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

For the given function :

[tex]\qquad \sf  \dashrightarrow \: f(x) = \dfrac{7}{x - 10} - 7[/tex]

f(x) is defined for all real values of x, except the value of x for which the denominator becomes 0, because if denominator is 0, the function at that instant will be undefined.

that is : f(x) is not defined when :

[tex]\qquad \sf  \dashrightarrow \: x - 10 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 10[/tex]

Hence, f (x) is defined for all real values of x except 10

It can be represented as :

[tex]\qquad \sf  \dashrightarrow \: f(x) : x \in R \sim \{10 \}[/tex]

Dots sells T-shirts ($7) and shorts ($9). In April, total sales were $572. People bought 5 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?

Answers

Dots sold 65 T-shirts and 13 shorts

How to calculate the number T-shirts and shorts ?

let the x represent the number of T-shirts and y and shorts

7x + 9y= 572.......equation 1

x= 5y........equation 2

substitute 4y for x in the equation

7(5y) + 9y = 572

35y  + 9y= 572

44y= 572
y= 572/44

y= 13

substitute 13 for y in equation 2

x= 5(13)

x= 65

Hence there 65 T-shirts and 13 shorts

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40 Members of arwick youth club go on a trip to a leisure centre they go in minibuses that can each seat up to 15 people. It costs £30 for each minibus and £150 for the group to have use of the leisure centre. How much will the trip cost per person

Answers

The trip cost per person is 6 pounds.

What is a unit rate?

Unit rate is the ratio of two different units, with the denominator as 1.

It means a rate for one of something.

We have,

Total members = 40

Each minibus cost = 30 pounds

Leisure centre cost = 150 pounds

Each minibus can carry = 15 people

The number of minibusses needed to carry 40 members:

= 40 / 15

= 2.67

= 3 minibusses.

This means we need  3 minibusses to carry 40 members.

Now,

The total cost for the trip:

= 150 pounds + 3 x 30 pounds

= 150 + 90

= 240 pounds

The cost per person:

= 240 / 40

= 6 pounds

Thus the trip cost per person is 6 pounds.

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A support pole for an ancient structure is found to have one-sixth of the carbon-14 of a modern, living tree. How long ago did the tree used to make the support pole die? Give your answer to the nearest whole number. (Assume that half-life of carbon-14 is 5770 years.)

Answers

14912 years ago, the tree that was used to kill the support pole died which is one-sixth of the carbon-14 of a modern, living tree.

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

One-sixth of a modern, living tree's carbon-14 is present in an ancient structure.

Assume that the half-life of carbon-14 is 5770 years

As per the given condition, the expression would be

[tex]A(t) = A_o}\dfrac{1}{2} ^{(\frac{t}{5770} )}\\A(t) = (0.167)A_o}[/tex]

[tex](0.167)A_o} = A_o}\dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

[tex](0.167) = \dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

Take the logarithms of both sides to get:

[tex]log(0.167) =log \dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

Using logₐ(xⁿ) = n logₐx.

⇒ log 0.167= (t/5770) log (0.5)

⇒ log 0.167/ log (0.5)= (t/5770)

⇒ 3 = (t/5770)

⇒ t = 3 × 5770

⇒ t = 14912

Hence, 14912 years ago, the tree that was used to kill the support pole died.

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What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

Step-by-step explanation:

it would be great if u had the image, but at least I can give some advice: use the method of rise over run to find the slope. use 2 points and count the number of squares "rising" and turn right and count the number of squares "running". left and down if it's going downward.

for the y intercept, find the x that equals 0. your coodinate should look like this: (0, *insert y*)

6. A household spend 120 on purchase of a commodity when it price is 6 per unit. When the rises to 10 per unit his total expenditure on this commodity becomes 180.calculate price elasticity of demand by percentage change method.​

Answers

Therefore, the price elasticity of demand by percentage change method is -0.025.

Given the price of a first commodity (p₁) = 6 rs

the price of a second commodity (p₂) = 10 rs

Expenditure on first commodity (s₁) = 120

Expenditure on second commodity (s₂) = 180

We need to find the quantity as

120 = 6 * Q₁.              180 = 10 * Q₂

Q₁ = 120 / 6                 Q₂ = 180 / 10

Q₁ = 20                         Q₂ = 18

price elasticity of demand by percentage change method as

Eₐ = P / Q * ΔQ /ΔP

ΔQ = Q₂ - Q₁ = 18 -20 = -2

ΔP = p₂ - p₁ = 10 - 6 = 4

Eₐ = 6 / 120 * -2 / 4

Eₐ = - 0.025

Therefore, the price elasticity of demand by percentage change method is -0.025.

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find the value of x in 5/9 = x/54

Answers

Answer:

[tex] \large \sf \: x=30[/tex]

Step-by-step explanation:

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

5/9 = x/54

Step 1: Cross-multiply.

5/9 = x/54

(5)*(54)=x*(9)

270=9x

Step 2: Flip the equation.

9x=270

Step 3: Divide both sides by 9.

9x/9 = 270/9

x=30

Michael grabs a marble from a bag. There are 5 green marbles and 1 red marble. If he grabs the red marble he loses everything he bet on. The marbles are not put back into the bag. The max amount of times Michael can bet on the same game is 4. If he bets 300 and wins 578 (having 278 as winnings), he has the choice to bet again with everything he earned for 682. Then he has the choice to do so again for 945, then 1312 at max. At what point in the game should Michael stop playing to gain the most given the percent of risk of losing the game? What point in the game is the least beneficial for Michael's gains?
First bet (300 -> 578)
Second bet (578 -> 682)
Third bet (682 -> 945)
Fourth bet (945 -> 1312)
If Michael wins every round he would go from 300 to 1312. If he loses, he doesn't gain any of the rewards and is 300 in debt.

Answers

Using the expected value of a discrete distribution, it is found that:

Michael should stop playing the game after the first round.The fourth round is the least beneficial round for Michael.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For the probabilities, we consider that it is given by the number of desired outcomes divided by the number of total outcomes.

For one bet, the distribution is given as follows:

P(X = 578) = 5/6 (5 green marbles out of 6).P(X = -300) = 1/6.

Hence the expected value is given by:

E(X) = 578 x 5/6 - 300 x 1/6 = $431.67.

For two bets, the distribution is given as follows:

P(X = 682) = 5/6 x 4/5 = 2/3.P(X = -300) = 1/3.

Hence the expected value is given by:

E(X) = 682 x 2/3 - 300 x 1/3 = $354.67.

For three bets, the distribution is given as follows:

P(X = 945) = 5/6 x 4/5 x 3/4 = 1/2.P(X = -300) = 1/2.

Hence the expected value is given by:

E(X) = 945 x 1/2 - 300 x 1/2 = $322.5.

For four bets, the distribution is given as follows:

P(X = 1312) = 5/6 x 4/5 x 3/4 x 2/3 = 1/3.P(X = -300) = 2/3.

Hence the expected value is given by:

E(X) = 1312 x 1/3 - 300 x 2/3 = $237.33.

Hence, considering the greatest and the smallest expected values, we have that:

Michael should stop playing the game after the first round.The fourth round is the least beneficial round for Michael.

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A 13 foot ladder is leaning on a wall. the bottom of the ladder has a diatance of 5 feet from the base of the wall.

What is the distance, in feet, between the ground and the top of the lafder?

Answers

Answer:

Subscribe to itsIceboiiYT

The arcade charges 24 tokens to play 6 games.
How many tokens will 10 games cost?

Answers

Answer: 40

Step-by-step explanation:

if 6 games = 24 tokens

then 1 game = 24/6=4

so 10 games = 4*10=40

Answer:

40

Step-by-step explanation:

24/6 = 4 tokens per game

4*10 games = 40

The formula below relates distance, rate, and time. Solve this formula for t.

Answers

The equation when solved for t gives d/r

What is subject of formula?

Subject of formula can be defined as a variable or element expressed in terms of other variables in an equation.

Iris also known as the variable that is being worked out in equation.

From the information given, we have the equation as;

d = rt

Where;

d is the distancer is the ratet is the time

Now, let's make 't' the subject

Divide both sides by the coefficient of t

d/r = rt/r

t = d/r

Thus, the equation when solved for t gives d/r

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The complete question:

The formula below relates distance, rate, and time. Solve this formula for t.

d = rt

How much colder was Tuesday then Saturday? if

Answers

+5 degree.

Formula for Length Change due to Thermal Expansion: The formula for calculating the change in length of a substance due to thermal expansion is ΔL=αLΔT Δ L = α L Δ T where L is the original length of the substance and ΔT is the change in temperature of the substance either in degrees Celsius or in Kelvin.

For comparision of temperature -

Subtract the final temperature from the starting temperature to find the difference. So if something starts at 50 degrees Celsius and finishes at 75 degrees C, then the change in temperature is 75 degrees C – 50 degrees C = 25 degrees C.

Given data

temperature of tuesday = 55 degree

temperature of saturday = 60 degree

Difference between temperature  = 60 -55 = 5 degree.

Hence, 5 degree more colder was Tuesday then Saturday.

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Question
Consider the following two loans for Po = $15,000.
• Loan A: 5 year loan, annual interest rate of 8%, monthly repayments of $304.15.
Loan B: 3 year loan, annual interest rate of 11%, monthly repayments of $491.08.

Calculate the absolute difference between the total interest paid on both loans. Give your answer to the nearest ten dollars.
Do not include the dollar sign in your answer

Answers

Answer:

570

Step-by-step explanation:

570

The absolute difference that is between the loans paid as 570

How to solve for the absolute difference

We have the following details:

Po = $15000

loan a 5 year loan, interest = 8 percent and repayments = 304.15 dollars

Loan b

3 year loan, interest = 11 percent repayments = $491.08

Total number of repayments = 5 x 12 = 60

Total repayments = 304.15 dollars x 60

= $18249

The total interest that is paid for A would be

$18249 - $15000

= $3249

For the second loan

Total number of repayments = 3 x 12 months = 36

Total repayment = 36 x 491.08 = $17678.88

The total interest for the loan B would be: $17678.88 - $15,000

= $2678.88

Then the absolute difference between the paid loan would be

$3249 -  $2678.88 = 570.12

Hence we would have the absolute difference that is between the loans paid as 570.

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How to solve this problem? -2x + 4 < 16

Answers

Answer:

the answer is 7+1-7+0/xx{12

Step-by-step explanation:

the answer above stated is correctly corrected correct

On the weekdays a grocery store has 14301 customers and on the weekends the grocery store has 11856 customers . How many more customers does the grocery store have on weekdays than on weekends?

Answers

Answer:

2445

Step-by-step explanation:

it would have 2445 more costumers

Answer:

2445

Step-by-step explanation:

Subtract.

14301 - 11856 = 2445 more people on weekdays

Helpp??
A playground has 2 slides,
3 swings, and monkey bars.
What's the probability that a kid
will decide to use a slide if they
pick at random?

Answers

Answer: 33.32% or 33.2% ( depending on rounding ) chance that the a will decide to use a slide if they pick at random.

Explanation:

2 slides + 3 swings + 1 monkey bars = 100%

There are 6 items in total so 100/6= 16.66 or 16.6.

Since there are 2 slides multiply the chance for each by 2, 16.66 or 16.6 * 2 = 33.2% or 33.32%

Jack has 80 marbles.
He gives 1/5
of the marbles to his friends.
(c) Work out how many marbles Jack now has.
inq

Answers

Answer:

He now has 64 marbles.

Step-by-step explanation:

This is because 1/5 of 80 is 16.

Determine the point(s), if any, at which the graph of the function has a horizontal tangent line. Y= 1/2x^2 +7x (Give the answer as x,y coordinates)

Answers

Answer:

i don't know how to attach the file

Find the domain of f(x) and the interval.
f(x)=√x² - 2x +48

Answers

Answer:

Step-by-step explanation:

go pathways gives all the answers

Determine whether or not the distribution is a probability distribution and select the reason(s) why or why not. X 0 1 2 P(X) 0 1/3 2/3 Select all that apply: The given distribution is a probability distribution, since the probabilities lie inclusively between 0 and 1. The given distribution is not a probability distribution, since at least one of the probabilities is greater than 1 or less than 0. The given distribution is a probability distribution, since the sum of probabilities is equal to 1. The given distribution is not a probability distribution, since the sum of probabilities is not equal to 1.

Answers

The distribution is a probability distribution, and the reasons are

The given distribution is a probability distribution, since the probabilities lie inclusively between 0 and 1. The given distribution is a probability distribution, since the sum of probabilities is equal to 1.

How to determine whether the distribution is a probability distribution?

The probability distribution is given as:

X     0   1    2

P(X) 0 1/3 2/3

From the above table of probability distribution, we can see that each probability value is between 0 and 1 (inclusive)

Also, the sum of probabilities is 1

i.e. 0 + 1/3 + 2/3 = 1

Hence, the distribution is a probability distribution, and the reasons are

The given distribution is a probability distribution, since the probabilities lie inclusively between 0 and 1. The given distribution is a probability distribution, since the sum of probabilities is equal to 1.

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