Solve the word problem below. Enter your answer as a fraction in simplest
terms, using the slash (/) as the fraction bar.
One week a student exercised 3 hours at school and another of an hour at
home. If of the student's total exercise came from playing basketball, how
much time did the student spend playing basketball that week? Enter your
answer in hours; do not include units in your answer.

If the interest charged on a $50,000, 60-day note payable, at the rate of 6%, would be $500.

In the given question, we have to find the interest charged on a $50,000, 60-day note payable, at the rate of 6%.

The note payable = $50,000

Rate = 6% = 0.06

Period outstanding = 60

The total interest formula is a way to calculate the total simple interest on a sum of money over time at a specific interest rate.

Total Interest charged = Note Payable * rate * period outstanding

Total Interest charged = $50,000 * 0.06 * 60/360

Total Interest charged = $500

Hence, if the interest charged on a $50,000, 60-day note payable, at the rate of 6%, would be $500.

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The two equations can you use to find the adult and child admission fees for a puppet show are 45a + 30c = 315 and 50a + 40c = 370

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, two equations can you use to find the adult and child admission fees for a puppet show

Let a represent the fee for adults

Let c represent the fee for children.

On day 1 number of adults = 45

So, fees of 45 adults = 45a

On day 1 number of children= 30

So, fees of 30 children = 30c

Total collection on day 1 = 315

Therefore, equation is 45a + 30c = 315

On day 2 number of adults = 50

So, fees of 50 adults = 50a

On day 2 number of children = 40

So, fees of 40 children = 40c

Total collection on day 2 = 370

So, equation = 50a + 40c = 370

Hence, The two equations can you use to find the adult and child admission fees for a puppet show are 45a + 30c = 315 and 50a + 40c = 370

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The students who offered the answer equivalent to original expression are Carlos and Irene.

The original expression can be traced back by solving the solution of each student. Thus, taking each solution.

Carlos

Performing multiplication of the solution

Expression = 2(14x - 4)

Expression = 28x - 8

Danny

Performing multiplication of the solution

Expression = 7(4x - 1)

Expression = 28x - 7

Irene

Performing multiplication of the solution

Expression = 4(7x - 2)

Expression = 28x - 8

Thus, Carlos and Irene gave the correct factors of the original expression.

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The complete question is -

Mrs. Crosland asked students to factor the expression 28 x − 8 . The students offered the answers shown in the box

Carlos: 2(14x - 4)

Danny: 7(4x - 1)

Irene: 4(7x - 2)

35 expect to participate in anti-racist practices.

anti-racist practices=Anti-racism encompasses a range of ideas and political actions which are meant to counter racial prejudice, systemic racism, and the oppression of specific racial groups. Anti-racism is usually structured around conscious efforts and deliberate actions which are intended to provide equal opportunities for all people on both an individual and a systemic level. As a philosophy, it can be engaged in by the acknowledgment of personal privileges, confronting acts as well as systems of racial discrimination, and/or working to change personal racial biases. Major contemporary anti-racism efforts include Black Lives Matter organizing and workplace antiracism.

Expect value= n*p=0.70*50

=35

Answer=35

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Step-by-step explanation:

first of all, a function is an equation.

it associates a function result variable (typically called y) with a calculation based on an input variable (usually caked x), or in more complex mathematics based on a group of input variables.

but not every equation is a function. to be a function every valid x value must have exactly one associated y value.

e.g. x = 5 is an equation. but it does not restrict y in any way. so, any value of y (infinitely many) is valid for x = 5.

therefore, this is not a function.

a linear equation/function is a straight line (hence the name).

it is characterized by an inclination (typically called slope or rate of change) and its absolute position typically incentives by the interception points particularly with the y-axis on a coordinate grid.

there are various ways to describe a line in a formal way.

the slope-intercept form :

y = ax + b

a being the slope, b being the y-intercept (y-value when x = 0).

the point-slope form

y - y1 = a(x - x1)

again, a is the slope, (x1, y1) is an identified point (coordinates) on the line.

the general (often called standard) form

gx + hy = c

g, h, c are not describing anything directly, but after transforming this standard form they build the "a" and "b" terms of the other forms.

the slope is the ratio of (y coordinate change / x coordinate change) when going from one point on the line to another. for a line this is constant for any pair of points you can pick on the line.

in other words it tells us how many units y changes, when x changes by a certain amount of units

basically, a line is the collection of all the points for which the given equation is true (when using the x coordinate in the equation we get the corresponding y as calculation result, or when using x and y of any point on the line in the equation, then the equation is true).

graph :

the slope is found by checking 2 points and calculating the y diff / x diff ratio. e.g. starting with (0, 0) if that point is in the line, we increase x by 1 and check the y value there : (1, y).

so, the slope is for that example (y - 0)/(1 - 0) = y.

the y-intercept is found by checking the y-value for x = 0.

the y-interception point is therefore (0, b).

the x-intercept is the x-value when y = 0.

the x-interception point is therefore (x-intercept, 0).

table :

for the slope we pick again 2 data points of the table and calculate y diff / x diff.

as explained this has to be constant for any picked pair of data points of the table. then you know it is a linear equation.

if we are lucky, the table contains data points with x = 0 and/or y = 0. then we have the corresponding intercept values.

but if not, we need to use the coordinates of 1 point in the e.g. slope-intercept form to create an equation with 1 variable : b. and then we solve it to get b.

equation :

we need to bring the equation into a form that we get

y = ...

then the factor of x is the slope. and the constant term (even if it is not there, as it means it is 0) defines the y-intercept

everything else is as described above

description :

the description needs to give us either data points or an indication about the slope and the y-intercept.

when we have 2 points, we can define a line through them. in other words, any pair of points defines a line.

Answer:

124.45

Step-by-step explanation:

u•v=8*22*cos(π/4)=124.45

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Answer:

To simplify the expression -3x + 6 - 3x - 24 + 2y, you can start by combining like terms.

-3x and -3x are both negative, so they can be combined to give -6x.

6 and -24 are both constants, so they can be combined to give -18.

So the simplified expression is: -6x - 18 + 2y

If you want to write the expression in standard form, you can rearrange the terms to give: 2y - 6x - 18

Answer:

  A

Step-by-step explanation:

You want the center of dilation when ∆ABC is dilated by a factor of 1/2 to get ∆AED.

In any dilation, the center of dilation is invariant. It doesn't move.

Since point A is common to both triangles, it didn't move. Point A is the center of dilation.

a. Stress rating describes the greatest number of students is: 8 out of 10

b. There are 156 students that responded with this rating.

A questionnaire is a research tool made up of a list of questions used to collect data from respondents during a survey or statistical analysis. Typically, a research questionnaire will contain both closed-ended and open-ended questions.

From the table, the total students will be the addition and this will be:

= 6 + 2 + 5 - 16 + 20 + 20 + 11 + 21 + 24 + 19 + 12

= 156

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The government agency that does not regulate banking or financial market is the The FCC. option C

The term FCC stands federal Communication Commission.  We should know that the duty of the federal communication Commission not to regulate finance in the society or regulate banking activities rather than to regulate Communication

It is the duty of the Commission to report on chain broadcasting, assign television stations to private and government individuals in the state.

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Answer:

25%

Step-by-step explanation:

To find the percentage discount for the cost of the cell phone, we need to first find the difference between the original price and the discounted price:

$120 - $90 = $30

Then we need to divide this amount by the original price and multiply by 100% to express the result as a percentage:

($30 / $120) * 100% = 25%

Therefore, the percentage discount for the cost of the cell phone is 25%.

The statement 'the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level.' is True.

In this question, we have been given a statement 'The confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level. '

We need to state whether the given statement is true or false.

We know that the confidence interval = sample mean ± margin of error

The confidence interval  for the mean of y is narrower when the x value is close to the mean of all of the x values.

Therefore, the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level is True.

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Answer:

g

Step-by-step explanation:

shifts the graph down by 6 units

Answer: $72.96

Step-by-step explanation:

7.6% = 0.076

Take 960.00 times 0.076 = $72.96

Answer:

52.61 degrees to the nearest hundredth.

Step-by-step explanation:

8^2 = 7^2 + 10^2 - 2.10.7cos A

cos A = (8^2 - 7^2 - 10^2) / (-140)

          = -85/-140

          = 0.60714

< A = 52.61 degrees.

Answer:

The answer is b . the first was appel and the second was blackberry

The value of z if the area to the right of z is 0.4404 is; 0.15

To find the value of z if the area to the right of z is 0.4404 is expressed as; P(Z > z) = 0.4404

Now, this means we have to go and trace the value of this area on the standard normal distribution table to know that z-score that it represents.

Now, by looking at the table of standard normal distribution, we can trace that the z-score area to the right of z is 0.4404 is;

z = 0.15

Thus, we conclude that the z-score above is the required one for the given area.

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Answer:

[tex]\textsf{D)} \quad -\dfrac{5}{6} x+5[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(- \dfrac{2}{3} x - 7\right) - \left(- 12 +\dfrac{1}{6}x \right)[/tex]

Remove the parentheses applying the rules  -(-a) = a  and -(a) = -a

[tex]- \dfrac{2}{3} x - 7+12-\dfrac{1}{6}x[/tex]

Collect like terms:

[tex]- \dfrac{2}{3} x-\dfrac{1}{6}x - 7+12[/tex]

Add the numbers -7 and 12:

[tex]- \dfrac{2}{3} x-\dfrac{1}{6}x+5[/tex]

Rewrite the first fraction so that its denominator is 6:

[tex]- \dfrac{2 \cdot 2}{3\cdot 2} x-\dfrac{1}{6}x+5[/tex]

[tex]- \dfrac{4}{6} x-\dfrac{1}{6}x+5[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]

[tex]\dfrac{-4-1}{6} x+5[/tex]

Simplify:

[tex]-\dfrac{5}{6} x+5[/tex]

Triangle a b c is cut by line segment f g. line segment f g goes from side a b to side a c. then x= 9

The problem description can be shown in the figure below. Since FG is parallel to BC, both sides AB and AC are split in proportional segments. It can be expressed in several ways. We'll use this one:

x+1/x+6= x-1/x+3

Operating in both sides:

4x+3=5x-6

Simplifying

x=9

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Answer: D). 9

Step-by-step explanation:

Alicia read 140 minutes more then Henry in 2 week .

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.

Main body:

Henry read for 20 minute each day.

Alicia rate for 30 minute each day.

as they read 7 day of a week , so

total minutes read by Henry = 2 *7 *20

                                               = 280 minutes

total minutes read by Alicia = 2 *7 *30

                                              =420 minutes

difference between henry , alicia reading = 420 - 280 = 140 minutes.

Hence , Alicia read 140 minutes more then Henry in 2 week .

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The 46th term is 324.

Based on last week's results, the profit that the owner expect to earn from cherry snow cone sales next week is $1832.

From the information, the owner expects to sell 800 snow cones next week and he earns a profit of $2.29 on each snow cone sold. Based on last week's results.

The profit can the owner expect to earn from cherry snow cone sales next week will be:

= Number of cheery × Profit on each

= 800 × $2.29

= $1832

The profit is $1832.

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Answer:

-18

Step-by-step explanation:

-55  - - 37  =  -55 + 37 = 37 - 55 = -18

Answer:

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

Solve in steps:

The equation states that the total amount in the savings account will be equal to the initial deposit .The value 1,500 represents the initial amount deposited into the savings account.

The equation A = 1,500 + (1 + 0.06/2)^2t represents the amount of money earned on a compound interest savings account. The value 1,500 represents the initial amount that was deposited into the savings account. The equation states that the total amount in the savings account will be equal to the initial deposit (1,500) plus the amount that is earned by compounding the interest rate on the initial deposit. This is calculated by first adding the initial deposit (1) to the interest rate (0.06/2). This sum is then raised to the power of 2 times the number of years (t) the money has been in the account. This total amount is then added to the initial deposit (1,500) to give the total amount earned on the savings account.

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Answer:

The value 1,500 represents the initial value, which means the account started with a balance of $1,500.

Step-by-step explanation:

I got it right.

Answer:

The answer is $492.88. This is Marvin's gross pay for the week, calculated by multiplying his hourly wage of $14.75 by the number of hours he worked, which is 33.5 hours.

Step-by-step explanation:

Marvin works 6 hours a day on Monday through Thursday, for a total of 6 * 4 = <<64=24>>24 hours.

On Saturday he works 8.5 hours, for a total of 24 + 8.5 = <<24+8.5=32.5>>32.5 hours.

Marvin works for 30 minutes unpaid during the week, and 30 minutes unpaid on Saturday for a total of 30 * 2 = <<302=60>>60 minutes.

In hours, 60 minutes is 60 / 60 = <<60/60=1>>1 hour.

Therefore, Marvin works for a total of 32.5 + 1 = <<32.5+1=33.5>>33.5 hours in a week.

Marvin earns $14.75 per hour, so his gross pay is 14.75 * 33.5 = $<<14.75*33.5=492.88>>492.88

The solution of the quadratic equation using the quadratic formula is

x = 4 + 2√6 or  4 - 2√6

The quadratic formula is a formula used to solve quadratic equations, which are equations of the form ax² + bx + c = 0 where a, b, and c are constants. The quadratic formula is:

x = (-b±√(b²-4ac))/(2a)

Given: x² - 8x - 84 = 0

Here, a = 1, b = -8 and c = -84

x = (-b±√(b²-4ac))/(2a)

x = [-(-8)±√((-8)²-[4×1×(-8)])]/(2a)

x = [8±√(96)]/2

x = (8± 4√6)/2

x = 4 ± 2√6

x = 4 + 2√6 or  4 - 2√6

Thus, the solution is x = 4 + 2√6 or  4 - 2√6

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Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints is the meaning of perpendicular bisector theorem

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment ,then it is equidistant from the segment's endpoints.

The perpendicular bisector of a triangle is the line segment that is drawn from a vertex to the opposite side bisecting the side at a right angle. The perpendicular of a triangle is perpendicular to the sides drawn from the opposite vertices and divides the sides into two equal parts. The point at which all the three perpendicular bisectors of a triangle meets is called the circumcenter of a triangle.

It is the meaning of perpendicular bisector theorem.

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