The length of a rectangle is 4 times its width. If the
perimeter of the rectangle is 90 feet, write an
equation in terms of w, the width of the rectangle.

The expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

In the question

the given expression is (2/5 * t - 7 + 2/3 * t) - (5/6 * t + 14)

Simplifying the expression further

we get ,

[tex]= \frac{2}{5} t-7+\frac{2}{3} t-\frac{5}{6} t-14[/tex]

writing the like terms together

= t * (2/5+2/3-5/6)-7-14

taking LCM of 5,3,6 as 30 and simplifying further we get ,

= t * (12/30 + 20/30 -25/30) - 21

= t * (7/30) - 21

which can also be written as (7/30)*t + (-21) .

Therefore , the expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

Learn more about Algebraic Expression here

https://brainly.com/question/20408747

#SPJ1

Answer:

y=-4x-1

Step-by-step explanation:

x-4y=24

-x      -x

-4y=-x+24

Divide -4

y=-1/-4x-6

Simplify the slope.

y=1/4x-6

Perpendicular slope

m = 1/4

m = -4

The point is (-2,7)

-2 is the x intercept

7 is the y intercept

Slope Point Form is y-y1=m(x-x1)

Plug it in

y-7=-4(x+2)

Solve and put it into slope intercept form

y-7=-4x-8

 +7      +7

y=-4x-1

There's your answer.

Hope that helps.

The length of segment MN rounded to the nearest tenth is 6.7 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( (x₂-x₁)² + (y₂-y₁)² )

Given the data in the question;

Point N(-1, 2)

Point M(-4,-4)

Plug these values into the above equation.

D = √( (x₂-x₁)² + (y₂-y₁)² )

D = √( ( (-4) - (-1))² + ( (-4) - 2)² )

D = √( ( -4 + 1 )² + ( -4 - 2)² )

D = √( ( -3 )² + ( -6 )² )

D = √( 9 + 36 )

D = √45

D = 3√5

D = 6.7 units

Therefore, the length of segment MN rounded to the nearest tenth is 6.7 units.

Learn more about distance formula here: https://brainly.com/question/28280765

#SPJ1

a = 5 and a = 4 are the sum of both digits, of either of two two-digit numbers.

What is square number in math?

This can also be solved algebraically. Let the 2 digits be a and b, going left to right.  The number itself is then

N = 10a + b.  And it's given that a + b = 9, and a2 - ab + b2 = 21.  Substitute for b = 9 - a, combine all terms of a2 and a, and you get

3a2 - 27a + 60 = 0.  Divide by 3

a2 - 9a + 20 = 0.  Factor

(a - 5)(a - 4) = 0.  So the roots are a = 5 and a = 4.

The actual numbers N are 54 and 45.

The digits can be changed since the equations including only a and b are symmetric. (If a = 5, then b must be 4; inverse)

Learn more about square number

brainly.com/question/17749819

#SPJ4

The 6th term of the geometric sequence is of -4096.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

For this problem, we have that:

Thus the 6th term of the sequence is found as follows:

[tex]a_6 = a_1q^5 = 4(-4)^5 = -4096[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

#SPJ1

300 Hours will be the Interquartile range for type A batteries.

In the given question, we have 11 terms in Hours, So we get N = 11, and the formula can calculate the Median for the allotted Hours  [tex]\frac{n+1}{2}[/tex]

Since the Median is 6th term i.e.  we get Middle Quartile Q2 = 1300Hours

Q1 is the Lower quartile of the graph and the Median divides the graph into 8 equal parts. And we get the value of Q1 = 1100 Hours. Whereas, The upper quartile is the upper quarter. So, Q3 = 1400 Hours.

We have the formula to calculate the Interquartile range :

  IQR = Q3 - Q1

Putting values of Q3 and Q1 into the formula, We get :

         IQR = 1400 - 1100

         IQR = 300

Hence, the Interquartile range  IQR = 300 Hours.

To know more about the Interquartile range, Click here :

https://brainly.com/question/14469535

#SPJ1

Answer:

ab don't delete my question aga

Step-by-step explanation:

This situation can be represented by the function f(x)=1000+150x.

Linear Equation can be defined as the equation that have  highest degree 1.

For Example : 3x+6 is a linear equation as it's highest degree is 1.

In the given question

Total money saved=initial amount+(money saved per week)*(number of weeks)     …(1)

Given that

Jessica already saved = $1000

money to be saved per week = $150

let the number of weeks she will be saving money =x

let f(x) be the function used to represent money saved

Substituting the values in eqn (1) we get

f(x)=1000+150(x)

Therefore , this situation can be represented by the function f(x)=1000+150x.

Learn more  about Linear Equations here https://brainly.com/question/13738061

#SPJ4

The population includes all individuals/subjects about whom we want to collect data.

POPULATION = All visitors to Hawaii who fly there.

A population is the entire set of individuals, if that group is a nation or a collection of individuals who share a characteristic.

Some key points related to study of population are-

To know more about the population study, here

https://brainly.com/question/8821666

#SPJ4

the complete question is -

The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights in June 2003. This trip to Hawaii is my: 1st, 2nd, 3rd, 4th, etc. The primary reason for this trip is: (10 categories including vacation, convention, honeymoon). Where I plan to stay: (11 categories including hotel, apartment, relatives, camping) Total days in Hawaii.

What is the population being studied?

So the width should be 21 cm, to have a length of 99 cm and a perimeter of 240 cm in linear equations.

What are instances of linear equations?

240 = 2(99) + 2x

240 = 198 + 2x

42 = 2x

21 = x

Learn more about linear equations

brainly.com/question/11897796

#SPJ9

Answer:

5<y< infinity

Step-by-step explanation:

Emily claims that a tree height of 43 inches is an outlier for the distribution.

What is the 1.5 IQR rule for outliers?

Add 1.5 to the interquartile range (IQR) (a constant used to discern outliers). The third quartile is increased by 1.5 times (IQR). Any figure above this is thought to be an outlier.

The starting and the end of the box in box plot are first and third quartile respectively.

From the given box plot it is clear that, Q₁ = 34  and Q₃ = 38

IQR = Q₃ -  Q₁

IQR = 38 - 34

IQR = 4

According to 1.5x IQR rule for outliers, all the data values lies outside the interval [ Q₁  - 1.5 × IQR , Q₃ + 1.5 × IQR ] are outliers..

Q₃ + 1.5 × IQR = 38 + 1.5(4)

Q₃ + 1.5 × IQR = 38 + 6

Q₃ + 1.5 × IQR = 44

We know that, 43<44.

Since, 43 is not greater than Q₃ + 1.5 × IQR  therefore, 43 is not an outlier and there is no evidence to support the claim.

Learn more about 1.5 IQR rule for outliers

brainly.com/question/17639156

#SPJ4

The points X(6,7), Y(2,3), Z(4,1) can be plotted as given below. From the obtained graph ∠XYZ is the right angle.

The given coordinates are X(6,7), Y(2,3) and Z(4,1).

We need to classify ∠XYZ whether it is right, acute, or obtuse.

A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, X(6,7), Y(2,3), Z(4,1) can be plotted as given below:

All points X(6,7), Y(2,3), Z(4,1) have the positive x and y coordinates.

So, all the points X(6,7), Y(2,3) and Z(4,1) lie in the first quadrant.

From the graph, we can see at the two lines are perpendicular to each other.

So, the angle between two lines is the right angle which is 90°.

From the obtained graph ∠XYZ is the right angle.

To learn more about the right angle visit:

https://brainly.com/question/7116550.

#SPJ1

Answer:

197miles

Step-by-step explanation:

because on avg drove 35 miles per gallon. so if we use 6x35 we would have how far he can drive on 6 gallons gas

Using a linear function, the table for her earnings y of producing x bracelets is given as follows:

A linear function is modeled by the following rule:

y = mx + b

In which:

For this problem, we have that:

Hence her earnings are modeled as follows:

y = 5x + 15.

The the numeric values are given as follows:

Then the table for her earnings y of producing x bracelets is given as follows:

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

11/13% of a quantity is equal to 11/1300 fraction of the quantity.

Percentage signifies for every hundred or for each. We display it as %. Since a percentage is expressed on a scale of 1 to 100, it is easy to comprehend. Converting percentage data to fractions is known as "percent to a fraction." As per the percent to fraction conversion instructions, the percentage can be written as a fraction by deleting the percent symbol and placing 100 in the denominator. Any percent can easily be converted to a fraction, and the opposite is also true.

To convert a percentage to a fraction, follow these three simple steps. Let's examine these three processes in more detail.

Divide the given percentage by 100

[tex]\frac{11}{13}[/tex]% [tex]=\frac{11}{13} \times \frac{1}{100} \\=\frac{11}{1300}[/tex]

To know more about percent to fraction conversion uses, visit:

https://brainly.com/question/16763182

#SPJ9

According to the given statement  an inequality to determine the minimum number of hours she needs to practice on each of the 2 days two and one third + 2x ≥ 4.

The correct option is A.

The lowered life expectancy, higher infant mortality, lesser social mobility, , and mental illness are all factors that contribute to lower life expectancy.

Income disparity. Income inequality is defined as the degree to which money is distributed unevenly among a group of people.

Pay Disparity. The pay of an individual changes from their income. Pay simply refers to the money earned through employment.

Inequality of wealth.

Given,

How many hours she has already practiced= , 2/3

She also wants to train for another two days, putting up equal hours each day.

Let x be the number of hours she practised each day.

As a result, the total number of hours kate practiced in two days was = 2x

As a result, the total amount of time she practiced = 2/3 + 2x

If she wishes to practice for at least four hours,

2/3 + 2x  ≥ 4

To learn more about inequality visit:

https://brainly.com/question/20383699

#SPJ4

I understand that the question you are looking for is:

Nicole needs to spend at least four hours each week practicing the guitar. She has already practiced two and one third hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.

A. two and one third + 2x ≥ 4

B. two and one third + 2x ≤ 4

C. two and one third x + 2 ≤ 4

D. two and one third x + 2 ≥ 4

M+=108 is a technique to indicate a compound's molecular formula; it only contains simple numbers for each type of atom in a molecule and no structural information.

An organic chemical molecule that only contains hydrogen and carbon atoms is referred to as a hydrocarbon. Natural hydrocarbons are the building blocks of coal, natural gas, crude oil, and other significant energy sources. They burn easily and emit heat, water, and carbon dioxide when they are burned. As a result, hydrocarbons constitute a very efficient fuel source. The concerned hydrocarbon molecule contains 12 hydrogen atoms and 8 carbon atoms. The resulting chemical is C8H12. C8H12 is composed of one ring and two double bonds.

To learn more about hydrocarbon, Visit:

https://brainly.com/question/14620349

#SPJ4

Answer:

3/6 = 1/2

Step-by-step explanation:

There are only 3 even numbers on a 6-sided dice:;2, 4, and 6, so this would mean we have a 3 out of 6 chance of getting an even number. Simplify that, and you get one-half.

Answer:

1/6

Step-by-step explanation:

1 cube and 6 rolls

Answer:

5

Step-by-step explanation:

Answer:

5 times

Explanation:

32 / 2 = 16

16 / 2 = 8

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1

Every time Daniel puts is hand in, he takes half of all the jellybeans.

The first time he put his hand in, there was 32 jellybeans and 32 / 2 = 16. After that, there was 16 so taking half would mean that there would be 8. Then this goes on till it reaches 1.

The answer is 2000000$  . Victoria need to sell 2000000$ this year to achieve $60000 this annum.

As per the question ,  3 percent of her yearly is equivalent to $30000 ,

If 3 percent is equivalent to $30000 , then 100 % is equal to , ( 30000 × 100/3  = 1000000 $ )

Now , we can conclude , the realtor sold worth of 1000000 $.

If Victoria want to earn 60000$ then She has to sell ( 60000 ×100/3 = 2000000 $ ) as only 3 % is equivalent to 60000 $  .

This year 2000000$ will she need to sell .  

To know more about  percentage refer to the link:

brainly.com/question/2155156?referrer=searchResults

#SPJ4

The correct option is D. More than one of them test negative.

More than one of them tests negative in the written explanation of the given event.

We have a conditional statement that states that if it rains, we will not play. Let's say A: it's raining and B: we're not going to play. If A is true (it is raining) and B is false (we played), therefore the statement A implies B is false.

Now, as per the question;

Option D correctly paraphrases the sentences by stating that there was at least one, though there could be more, but this does not guarantee that all.

To know more about the statistics, here

https://brainly.com/question/15525560

#SPJ4

The complete question is -

Determine the written description of the complement of the given event. When seven job applicants are tested for a certain ability​, at least one of them tests positive. Choose the correct answer below.

A. All of them test positive

B. None of them test negative

C. All of them test negative

D. More than one of them test negative

Answer:

m<ABD = 24°

m<DBC = 119°

Step-by-step explanation:

m<ABD + m<DBC = m<ABC

2x - 40 + 3x + 23 = 143

5x - 17 = 143

5x = 160

x = 32

m<ABD = 2x - 40 = 2(32) - 40 = 24

m<ABD = 24°

m<DBC = 3x + 23 = 3(32) + 23 = 119

m<DBC = 119°

Answer:

f(x) = (1 - 0.25)x = 0.75x

f(x) = 0.75x

g(x) = (1 - 0.2)x = 0.8x

g(x) = 0.8x

(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x

(f o g)(x) = 0.6x

(g o f)(x) = 0.8(0.75x) = 0.6x

(g o f)(x) = 0.6x

Step-by-step explanation:

It does not matter which one you apply first.

Answer:

9 pounds per inch

Step-by-step explanation:

There are approximately 2.2 pounds in a kilogram. So, 4.1 kilograms is approximately 9 pounds. Therefore, the ratio is 9 pounds per inch. The step by step for this is, 4.1 kg/m * 2.2 lb/kg = 9 lb/m * 1 in/m = 9 lb/in