Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Ben plays less than ____ hood of veido games each of the three days ?

Answers

Answer 1

Answer Ben plays video games for 1 1/2 hours per day for the 3 days

Step-by-step explanation:

He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.

Let D = #hours per day Ben plays, then

3D = 4 1/2

3D = 4.5

D = 4.5/3

D = 1.5


Related Questions


Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.

Answers

Answer:

Step-by-step explanation:

20x + 40y = 61 this is the equation for the first party

30x + 30y = 64.50 this is the equation for the second party.

What is the value -3/5 + (-0.75) +4 7/10
Enter your answer in the box.

Answers

Answer:

67/20 as an improper fraction, 3 7/20 as a mixed number and, 3.35 as a decimal

Hope this helped :)

Step-by-step explanation:

What is the value of X

Answers

The answer would be 6 I belive make sure to double check it

Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M

Answers

The equation Q = 2 x M represents the relationship between question and time.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Zack takes a test, in which he answers at rate of 2 question per minute.

Also, Q represents questions

And M represents minutes.

According to given condition,

In 1 minute, Zack answers 2 question,

In M minutes, Zack answers 2 x M question,

Total questions presented by Q,

Q = 2 x M.

The required relationship for M and Q is Q = 2 x M.

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-2(4x-6)=6-6x help me

Answers

Answer:

x=3

Step-by-step explanation:

you have to move the terms collect like terms and divide both sides and down load photo math that helps alot with giving answers

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8593 g and a standard deviation of 0.0511 g. A sample of these candies came from a package containing 464 ​candies, and the package label stated that the net weight is 396.1 g.​ (If every package has 464 ​candies, the mean weight of the candies must exceed 396.1 464=0.8537 g for the net contents to weigh at least 396.1 ​g.)

Answers

Answer:

The package label stated that the net weight is 381.8g If every package has ... brand of candies have a mean weight of 0.8616g and a standard deviation of ...

b. What is the area of the surface of Crater Lake?

Give a step by step explanation

Answers

Answer: 23.76 miles

Step-by-step explanation:

You are basically finding the perimeter for question a

given that perimeter is [tex]\pi[/tex]d

Subsitute the values

So perimeter = [tex]\pi[/tex] x 5.5 = 5.5 [tex]\pi[/tex] miles = 17.28 miles (2.d.p)

For question b, the area of the surface of Crater lake is finding its area

Given that area of a circle is [tex]\pi r^{2}[/tex]

Substitute the values

Because 5.5 is the diameter, to find the radius, divide by 2 to get 2.75

Area = 2.75^2 x [tex]\pi[/tex] = 7.5625[tex]\pi[/tex] = 23.76 miles^2 (2.d.p)

$5.15 per 5-pound bag

Answers

Answer: 1 pound = 1.03

Step-by-step explanation:

not sure what you wanted from this but here are possible answer

Hey there!

When you hear or see the word “per” in math, think of the question/word problem telling you to find the “for each”. This basically mean you’re dividing. So, let’s divide your numbers from each other.

$5.15/5 lb

= 5.15 ÷ 5 lb

= 5.15 ÷ 5 lb

= $1.03

Therefore, your answer SHOULD be: $1.03

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3.

Answers

Answer:

y = x/3 - 6

Step-by-step explanation:

yeah-ya......... right?

what is the explanation

Answers

Answer:

the explanation of wot

Step-by-step explanation:

If you give an explanation of something, you give details about it or describe it so that it can be understood.

Evaluate the given expression for x = 4.
x? + 5x - 8

Answers

Answer:

16

Step-by-step explanation:

[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]

Write the ratio 4 1/5 to 5 2/5 as a simplified fraction

Answers

Answer:

[tex]\huge\boxed{4\dfrac{1}{2}:5\dfrac{2}{5}=5:6}[/tex]

Step-by-step explanation:

[tex]4\dfrac{1}{2}:5\dfrac{2}{5}[/tex]

we convert a mixed number to an improper fraction

[tex]4\dfrac{1}{2}=\dfrac{4\cdot2+1}{2}=\dfrac{9}{2}\\\\5\dfrac{2}{5}=\dfrac{5\cdot5+2}{5}=\dfrac{27}{5}[/tex]

Therefore

[tex]4\dfrac{1}{2}:5\dfrac{2}{5}=\dfrac{9}{2}:\dfrac{27}{5}=\dfrac{9\!\!\!\!\diagup^1}{2}\cdot\dfrac{5}{27\!\!\!\!\!\diagup_3}=\dfrac{1}{2}\cdot\dfrac{5}{3}=\dfrac{1\cdot5}{2\cdot3}=\dfrac{5}{6}=5:6[/tex]

The ratio 4 1/5 to 5 2/5 is equivalent to the simplified fraction 7/9.

How to write the simplified faction

To write the ratio 4 1/5 to 5 2/5 as a simplified fraction, we need to convert both mixed numbers to improper fractions and then find their ratio.

Step 1: Convert the mixed numbers to improper fractions:

4 1/5 = (4 * 5 + 1) / 5 = 21 / 5

5 2/5 = (5 * 5 + 2) / 5 = 27 / 5

Step 2: Find the ratio by dividing the first fraction by the second fraction:

Ratio = (21 / 5) / (27 / 5)

Step 3: To divide by a fraction, multiply by its reciprocal:

Ratio = (21 / 5) * (5 / 27)

Step 4: Simplify the fraction:

Ratio = (21 * 5) / (5 * 27)

Ratio = 105 / 135

Step 5: Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 15:

Ratio = (105 / 15) / (135 / 15)

Ratio = 7 / 9

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I need help with pre calculus.

Answers

Question 1

Answer:  Choice A) -7

-----------------

Explanation:

To compute f(g(2)), we'll first need to find g(2).

Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4

This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) =  -9

Overall, we can say f(g(2)) = -9

We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2

Lastly, we subtract the results we got:  

f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7

==============================================

Question 2

Answer: Choice B)  0

-----------------

Explanation:

If you were to graph each equation, you should get what you see below.

The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.

==============================================

Question 3

Answer: Choice B[tex]-2x^2+250x-2000[/tex]

-----------------

Explanation:

x = number of scooters made and sold

Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression [tex]150x+2000[/tex]

The cost function is [tex]C(x) = 150x+2000[/tex]. We'll subtract this from the revenue function R(x) to get the profit P(x)

[tex]\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\[/tex]

==============================================

Question 4

Answer: Choice B

[tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]

-----------------

Explanation:

[tex]g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\[/tex]

I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.

So we start off with the real number line, and poke holes at x = -2 and x = 1.

The notation [tex]x \in \mathbb{R}[/tex] means x is a real number. Then we tack on [tex]x \ne -2, x \ne 1[/tex]

Overall, the domain is [tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]

Let's see what happens if we tried plugging x = -1 into this composite function:

[tex](g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\[/tex]

We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.

What is the equation for the line in slope-intercept form?
Enter your answer in the box.

Answers

Answer:1+1

Step-by-step explanation:

1+1=2

Name a pair of overlapping congruent triangles. (PST and QTU, STR and UTR, or RPU and RQS)

Then state whether they are congruent by SSS, SAS, ASA, AAS, or HL.

Answers

Answer:

  ΔRUP ≅ ΔRSQ by ASA

Step-by-step explanation:

Angle SRQ is congruent to angle URP by the reflexive property of congruence. The angles at U and S are already marked congruent, as are sides UR and SR. That means we have two angles and the side between them congruent for the two triangles:

  ΔRUP ≅ ΔRSQ by ASA

How do you use observed data to predict unobserved

Answers

You can determine that the test scores will drop with more hours of tv watched. Though as you can also notice there seem to be more outliers later in the data so you can determine that what is I observed will have more outliers than what is observed.

Which ordered pair is in the solution set of 3x − 2y ≥ -1?​​​
F.(-2, -2.5)
G.(-1, 1)
H.(2, 4)
J.(1, 2.5)

Answers

Answer:

G

Step-by-step explanation:

Therefore, the option [tex]G(-1,1)[/tex] is correct.

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given inequality equation

[tex]3x- 2y \geq -1[/tex]

When the points [tex](-1,1)[/tex] so it would be

[tex]3(-1)-2(1)\geq -1\\\\-3-2\geq -1\\\\-5\geq -1[/tex]

Hence, the option [tex]G(-1,1)[/tex] is correct.

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Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.

A. His puppy

Inches or Yards

B. A toy car

Yards or Centimeters


C. Width of his desk

Yards or Feet


D. His foot

Inches or Yards

Answers

A : inches
B : centimeters
C: feet
D: inches

(Brainliest question) Which type of study best describes the following research most likely to be done? A researcher is trying to determine the effects of animal habitats and animal populations after forest fires. So she visits places that have had a naturally occurring Forest fire to study the area.


Experimental study

Observational study

Simulation study

Double blind study

Answers

Answer:

Observational study

Step-by-step explanation:

See the researcher visits the forest.She want to experience or observe the forest fire.She want to observe how it affects the animals.Hence it's observational study

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 4 < x < 7.
f(x)
3
5
4.
9
5
15
6
23
7
33
Answer:
Submit Answer
attempt 2 out of 2

Answers

Answer:

  8

Step-by-step explanation:

It appears your table includes points (4, 9) and (7, 33). The average rate of change on the interval is the slope of the line between these two points:

  m = (y2 -y1)/(x2 -x1)

  m = (33 -9)/(7 -4) = 24/3 = 8

The average rate of change is 8.

van is watching the birds in his backyard, of the birds he watched 9 of them or 45% are sparrows, how many birds are in his backyard

Answers

The answer would be that 20 birds are in the backyard

Write a number using the following clues:

a multiple of 6

greater than 40, but less than 90

Answers

Answer:

48

Step-by-step explanation:

There are various multiples of 6 that are greater than 40, but less than 90. Including 42, 48, 54, 60, 66, 72, 78, and 84. :)

Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2

Answers

Given:-

Value of Home = $150000

Down payment = 20% of $150000 = $30000

Loan Amount = $150000 - $30000 = $120000

Interest on Loan = 13.3/4% or 13.75%

Duration of Loan = 25Year

Calculation:-

Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%

No. of months payment required = 25 years x 12 Months = 300 Months

To Calculated the monthly mortgage payment:-

The formula is M = P*i*(1 + i)^n/(1+i)^n – 1

Where M is monthly payment of Mortgage

P = principal amount of Loan = $120000

i = interest per month = 0.011458%

n=duration of loan in months = 300 months

When we apply the formula:

M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]

= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]

=$120000*[0.011458*30.50697/30.5067-1]

=$120000*[0.011458*30.50697/29.50697]

=$120000*[0.349559/29.50697]

=$120000*0.011847 =$1421.60

So,Morgage payment Per month $1421.60

Period 1

Interest for 1st period = $120000 x0. 011458 = $1374.96

Pricipal Amount paid = $1421.60 -$1374.96 =$46.64

Balance in Principal amount = $120000-$46.64 =$119953.36

Period 2

Interest for 1st period = $119953.36 x0. 011458 =$1374.43

Pricipal Amount paid = $1421.60 -$1374.43 =$47.17

Balance in Principal amount = $119953.36 - $47.17 =$119906.19

solve the system using substitution 5x+3y=-4 y-2x=6

Answers

Solving steps:-

5x+3y=−4

y−2x=6

-->To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

5x+3y=−4,−2x+y=6

-->Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

5x+3y=−4

-->Subtract 3y from both sides of the equation.

5x=−3y−4

--> Divide both sides by 5.

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

--> Multiply 1/5 −3y−4.

x = -3/5y - 4/5

--> Substitute -3y - 4/ 5 for x n the other equation, −2x+y=6.

-2 (-3/5y - 4/5) + y = 6

--> Multiply −2 times -3y - 4/ 5

6/5y + 8/5 + y = 6

--> Add 6y/5 to y

11/5y + 8/5 = 6

--> Subtract 8/5 from both sides of the equation.

11/5y = 22/5

--> Divide both sides of the equation by 11/5, which is the same as multiplying both sides by the reciprocal of the fraction.

y = 2

--> Substitute 2 for y in x= -3/5y - 4/5. Because the resulting equation contains only one variable, you can solve for x directly.

x = -3/5 x 2 - 4/5

--> Multiply -3/5 times 2.

x = -6 - 4/ 5

--> Add -4/5 to -6/5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x = -2

--> The equation is now solved.

Answer : x = -2, y = 2

Explanation : If you think this answer is good, please give "Brainliest" or rate/heart my answer. Hope this helps you.

A principle at a certain high school claims that the students in her school are above average in SAT. She collects a random sample of 50 students and given an SAT test that provided with a mean score of 541. Is there sufficient evidence statistically to support the principal’s claim? The mean population SAT score is 500 with a standard deviation of 100. SAT scores are normally distributed. Please show all the steps involved in a hypothesis testing including proper statistical symbols, formula used, and report/interpret results in complete sentences.

Answers

Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:

[tex]H_0: \mu \leq 500[/tex]

At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:

[tex]H_1: \mu > 500[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]

[tex]z = 2.9[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with the standard 0.05 significance level, is of [tex]z^{\ast} = 1.645[/tex].

Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

A similar problem is given at https://brainly.com/question/25728144

What is the constant of proportionality in xy-11=5?

Answers

Answer:

xy-11=5

ANSWER:

=16

Step-by-step explanation:

hope it helps to you

mark me as a brainlest please

Mary works at a local Burger King restaurant. Her regular hourly wage is $14.70. If she works overtime, she
receives an hourly rate of 14 times her regular hourly rate. If she regularly works 40 hours per week with no
overtime, what is her regular weekly pay?

$882

$2.94

$588

$294

Answers

Answer:

I’m pretty sure it’s 588

Step-by-step explanation:

14.70 * 40 = 588

2+2 (I have been having a lot of trouble on this

Answers

Answer:

it's 4

Step-by-step explanation:

I hope it helps .....

Answer:

4

Step-by-step explanation:

2+2=4

I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!

Does this help?

Find the slope of the line that passes through (6, 8) and (2, 17).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-9/4

Step-by-step explanation:

Slope is equal to the change in y, over the change in x, or rise over run.

x, is the run

y, is the rise

You can substitute the coordinate numbers on the equation to find the slope. which is y2-y1/x2-x1

m= 17-(8)

——

2-(6)

Your answer will be -9/4 (it doesn’t matter where the negative goes, and there’s a negative because 2-6= -4)

Hope this helps.

Help a bro outttttttt

Answers

Answer:

15

Step-by-step explanation:

pick any 2 sides

3x+6=6x-3

+3

3x+9=6x

-3x

9=3x

/3

x=3

3*9x=27

27-12=15

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Assume that the weekly exercise times have a population standard deviation of 0.6 hours for people who exercise in the morning and 0.4 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening. Step 1 of 2: Construct a 95% confidence interval for the true difference between the mean amounts of time spent exercising each week by people who work out in the morning and those who work out in the afternoon or evening at the three health centers. Round the endpoints of the interval to one decimal place, if necessary. A corporation issues for cash $1,000,000 of 8%, 20-year bonds, interest payable annually, at a time when the market rate of interest is 10%. The straight-line method is adopted for the amortization of bond discount or premium. Which of the following statements is true?a. The amount of the annual interest expense is computed at 8% of the bond carrying amount at the beginning of the year.b. The amount of the annual interest expense gradually decreases over the life of the bonds.c. The amount of unamortized discount decreases from its balance at issuance date to a zero balance at maturity.d. The amount of unamortized premium decreases from its balance at issuance date to a zero balance at maturity. Identify the like terms in the equation 2/9 x + 6/7 + 2.35x = -4/5 x. Which monomials are perfect squares? Select three options. a25x12 b16x9 c6x2 d36x16 e9x8 How did women's roles in society change during the 1920s?Most married women entered the professions and received high-paying positions.Many women challenged traditional views and embraced new fashions and behavior.Voting women had a significant influence on national politics in the 1920s. 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