e.) if the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour explain ?

pa help plsss with explanation
​

Combine like terms start fraction 11 over 2 end fraction y and 2. distribute 15 to each term on the left side. Subtract start fraction 11 over 2 end fraction y from each side of the equation.

To divide each side of the equation by 2.

Your fractions are missing there fraction bars:

3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)  

15y − 6 + 5 = 1/2 y + 5y + 2  

15y − 1 = 11/2 y + 2

A. 11/2y and 2 aren't like terms because one contains the variable y and the other contains no variable

B. The distribute property can't be used there because you don't have 15(y-1) you have 15y-1

C. Subtracting 11/2y sounds like a good step because there is a y term on the opposing side.

15y-1=11/2y+2

Subtracting 11/2y on both sides

9.5y-1=2

That looks pretty good because then you would add 1 on both sides giving:

9.5y =3

Last step would get the y by itself which is dividing both sides by 9.5 giving you 6/19.

D. You could actually do this but it doesn't help you get x by itself.  The equation would look like this: 15/2 y-1/2=11/4 y+1

To learn more about fractions click here https://brainly.com/question/78672

#SPJ4

Answer:

C is your answer

Step-by-step explanation:

Money that needs to be deposited to reach the minimum balance is $17.44

Current balance of Amy =  C= $12.56

Minimum balance amount = M = $30

The amount to be deposited = Minimum balance amount -  Current balance amount

                                                = M - C

                                                =$30 - $12.56

                                                = $17.44

The deposit amount required from Amy= $17.44

To learn more about minimum balance, refer:

https://brainly.com/question/20560637

#SPJ1

Answer:

ИДК либо плохо так грустно для вас ха-ха

Option B correctly summarizes these conclusions and provides additional information about the level of significance and the expected frequency of getting a test statistic as extreme as the observed one if the null hypothesis is true.

Option B is the correct answer.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

The p-value of 0.011 is less than the significance level of 0.05, which means that we reject the null hypothesis that there is no difference in mean attendance between winning and losing seasons.

Therefore, we conclude that there is evidence to support the claim that mean attendance at the home stadium is greater when the team is having a winning season than when the team is having a losing season.

Thus,

Option B correctly summarizes these conclusions and provides additional information about the level of significance and the expected frequency of getting a test statistic as extreme as the observed one if the null hypothesis is true.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2

The system of equation to describe the situation below is x= 1.

What is equation?

an equation is a formula that is to expresses the equality of two expressions, by the  connecting them with in the equal sign.

The process of equting one thing with another is called the equation of science with objective.

Sol- Based on the given condition-

The formulate is- 36+2x=35+3x

Rearrange variables to the left side of the equation

2x-3x=35-36

Combine like terms

-x= 35-36

Calculate the sum or difference

-x=-1

Devide both side of the equation by the coefficient of variable we get

X=1

To know more about equationclick-

https://brainly.com/question/2972832

#SPJ13

The answer will looks kinda like this:

Answer:

9/1.5 = 12/2

Step-by-step explanation:

If QS || MN, the two triangles are similar, so the ratio between their corresponding side lengths will be equal.

To make GH the hypotenuse of the right triangle formed by combining the three points, we need to know the coordinates of point J. (3,-8).

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.

Thus, to make GH the hypotenuse of the right triangle formed by combining the three points, we need to know the coordinates of point J. (3,-8).

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ1

The solution (4, 1) is in the solution is in the system

From the question, we have the following parameters that can be used in our computation:

y = 1

y = -2x - 9

Substitute y = 1 in the equation y = -2x - 9

So, we have the following representations

1 = -2x - 9

Evaluate the like terms

So, we have

-2x = -8

Divide both sides by -2

x = 4

This means that the solution is (4, 1)

Hence. (4, 1) is in the solution is in the system

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

To solve the equation: 3/4(2a-6)+1/2=2/5(3a+20), finding the value of a as follows,

We simplify the equation to the form, which is simple to understand

3/4(2a-6)+1/2=2/5(3a+20)

3/4(2a-6)+1/2=2/5(3a+20)

Reorder the terms in parentheses

+(+1.5a-4.5) + 0.5=0.4*(3a+20)

Remove unnecessary parentheses

+1.5a-4.5 + 0.5=0.4+*(+3a+20+)

Reorder the terms in parentheses

+1.5a-4.5 + 0.5=+(+1.2a+8)

Remove unnecessary parentheses

+1.5a-4.5 + 0.5=+1.2a+8

3/4(2a-6)+1/2=2/5(3a+20)

We move all terms containing a to the left and all other terms to the right.

+1.5a-1.2a=+8+4.5-0.5

3/4(2a-6)+1/2=2/5(3a+20)

(3a+20)

We simplify left and right side of the equation.

+ 0.3a=+12

(3a+20)

3/4(2a-6)+1/2=2/5

We divide both sides of the equation by 0.3 to get a.

a=40

Hence, the answer is a = 40

To Learn about more parentheses https://brainly.com/question/172432

#SPJ4

If f(x) = 3x-4 and g(x) = 4-3x then the solution of f(g(x)) = g(f(x)) proves that they are not inverse functions.

According to the question,

We have the following two functions:

f(x) = 3x-4 and g(x) = 4-3x

We know that in order to find whether two functions are inverse of each other or not we need to find the value of f(g(x)) and g(f(x)) and then see whether they are equal to x.

Now, among the given options, the only option representing this kind of solution is option D and the solutions are not equal which proves that they are not inverse functions.

Hence, the correct option is D.

To know more about inverse functions here

https://brainly.com/question/2541698

#SPJ1

Answer:

Step-by-step explanation:

x=3

0.04x+0.3=0.42

        -0.3    -0.3

0.04x=0.12

÷0.04.    ÷0.04

x=3

The perimeter of the rectangle is 208

Given that,

Fourteen less than two fifth of the area of a rectangle is the same as one eighth the rectangle perimeter which can be written into equation as :

2/5a - 14 = 1/8(p) here,

a is area of rectangle

p is perimeter of rectangle

a is l*b and p is l+b

l is length of rectangle

b is breadth of rectangle

now,

2/5(lb) - 14 = 1/8(l+b)

2lb/5 - 14 = l+b/8

(2lb-70)/5 = l+b/8

16lb-560 = 5l+5b

5l+5b-16lb = -560

5l+5b-16(100) = -560

5l+5b-1600 = -560

5l+5b = -560 +1600

5l+5b = 1040

l+b =208

which is nothing but perimeter of rectangle.

Therefore, the perimeter of rectangle is 208 respectively.

Learn more about perimeter here:

brainly.com/question/15287805

#SPJ4

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

This can be simplified to give [tex]\frac{1}{7}[/tex]

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient.

The difference (deviations) between each value in the data set and the data set mean are averaged to get the mean absolute deviation. The deviations from a dot plot can be graphically depicted on a number line. The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It gives us a sense of how variable a dataset is.

To know more about mean absolute deviation,

https://brainly.com/question/10528201

#SPJ4

For the given condition the windspeed in miles per hour and the speed of the plane will be 455 and 65 miles per hour

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Suppose w and s is the windspeed in mile per hour and the speed of the plane respectively.

The plane's speed in miles per hour when flying into the wind

s-w

The aircraft's speed in miles per hour when flying into the wind is,

s+w

When it is flying into the wind,

780=(s-w)×2

When it is flying with the wind,

780=(s+w)×(3/2)

780=2s-2w

1560=3s+3w

Solve the equation we get,

w=65

s=455

Thus, for the given condition the windspeed in miles per hour and the speed of the plane will be 455 and 65 miles per hour

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

The equation solved for n is n = (2c-2)/(-p).

Two or more expressions with an equal sign are defined as an equation.

The given equation is -np-4 = 2(c-3).

Solve the equation for n as follows;

-np - 4 = 2(c - 3)

-np = 2(c- 3) +4

-np = 2c - 6 +4

-np = 2c - 2

n = (2c-2)/(-p)

Hence, the equation solved for n is n = (2c-2)/(-p).

To learn more about equations, click here:

brainly.com/question/10413253

#SPJ1

There are 23 percuionit are on the ideline.

Given that in the high school band there are 2 percuionit on the ideline to every 13 marching instrument.

We have to find the percuionit are on the ideline when the high school band has 150 total member.

Firstly, we will find the scale factor by dividing the number of percuionit on the ideline to the every marching instrument.

According to the given question, the scale factor = number of percuionit on the ideline / the every marching instrument

Scale factor=2/13

Now for 150 members number of percussionists is

(2/13)×150=23.07 or 23

Hence, the number of percussionists on the ideline is 23 when the high school band has 150 total member.

Learn more about the number of percussionists from here brainly.com/question/13652375

#SPJ4

The coordinates of B is (8,-3).

Given:

The midpoint of AB is M(7, -5)

the coordinates of A are (6, -7)

Midpoint = (x1+x2 / 2 , y1+y2 / 2)

(7,-5) = (6+x2 /2 , -7+y2 /2)

7 = 6+x2 / 2

14 = 6 + x2

x2 = 14 -6

x2 = 8

-5 = -7+y2 / 2

-10 = -7 + y2

y2 = -10+7

y2 = -3

Therefore the coordinates of B is (8,-3).

Learn more about the midpoint here:

https://brainly.com/question/28224145

#SPJ1

Answer:

x^2 (x^2 + 6x - 27)(x+5) + 81/3(x+5)

Step-by-step explanation:

1) Use this rule: a/b x c = ac/b.

(x^2 + 6x - 27)/3 + 27/x + 5

2) Regroup terms.

x^2 (x^2 + 6x - 27)/3 + 27/x+5

3) Rewrite the expression with a common denominator.

x^2 (x^2 + 6x - 27) (x + 5) 27 x 3/ 3(x + 5)

4) Simplify 27 x 3 to 81.

x^2 (x^2 + 6x - 27)(x+5) + 81/3(x+5)

Thanks

Answer:

Step-by-step explanation:

Let the missing part be x.

According to triangle proportionality theorem we have:

The missing length will be 35 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown is figure.

Now,

Let the missing length = x

So, By the definition of triangle proportionality theorem, we get;

⇒ x/28 = 15 / 12

Solve for x as;

⇒ x/28 = 15 / 12

⇒ x/28 = 5 / 4

⇒ x = 5 x 28 / 4

⇒ x = 5 x 7

⇒ x = 35

Thus, The missing length will be 35 units.

Learn more about the triangle visit:

https://brainly.com/question/23945265

#SPJ1

The solution of the equation [tex]x^2[/tex] + 27 = 0 when solved over the complex number is [tex]\sqrt{27}i[/tex]

The equation is

[tex]x^2[/tex] + 27 = 0

The complex number is the combination of  a real number and an imaginary number.

Here we have to solve the equation and find the value of x

[tex]x^2[/tex] + 27 = 0

Subtract 27 from the both side of the equation

[tex]x^2[/tex] + 27 - 27= -27

[tex]x^2[/tex]  = -27

Take square root on the both side of the equation

x = [tex]\sqrt{-27}[/tex]

We know,

[tex]\sqrt{-1}[/tex] = i

The substitute this value in the equation

Then the value of x =  [tex]\sqrt{27}i[/tex]

Hence, the solution of the equation [tex]x^2[/tex] + 27 = 0 when solved over the complex number is [tex]\sqrt{27}i[/tex]

Learn more about complex number here

brainly.com/question/20566728

#SPJ4

Answer:

2

Step-by-step explanation:

8+5=13

Day 1 13+5=18

Day 2 18+5=23

20+3=23

Answer: 7 days

Why it’s 7: just trust me

The angle that is supplementary to ∠7 is ∠5 and ∠8

What is supplementary angle ?

Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. Since their measures sum up to 180 degrees, the numbers 3 and 4 in the following figure are supplementary.

Two Angles are Supplementary when they add up to 180 degrees.

From given figure,

It is observed that sum of ∠7 and ∠8 is equal to 180 degrees.

The sum of ∠7 and ∠5 is equals to 180 degrees.

∴ ∠7 + ∠8 =180

and ∠7 + ∠5 = 180

Thus , the supplementary angles of ∠ 7 are ∠ 5 and ∠ 8.

To learn more about supplementary angle from the given link  

https://brainly.com/question/18316763

#SPJ1

To break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.

For the given question-

Total cost c: c = 850x + 250000

Total revenue R: R = 9502x

The point during which costs equal revenues is known as the break-even point.

850x + 250000 = 9502x

9502x - 850x = 250000

8652x = 250000

x = 28.29

x = 29

Thus, to break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.

To know more about the break even point, here

https://brainly.com/question/15281855

#SPJ4

Radius of the given cone is 4 units.

What is radius?

A circle's or a sphere's radius is the length of the line between the centre and the edge.

Main Body:

Volume given=

V=1/3π[tex]r^{2}[/tex]h

201.06= 1/3π[tex]r^{2}[/tex](12)

Taking 201.06 as 200 as approximation is allowed.

Now solving for r ,

(200*3)/12= π[tex]r^{2}[/tex]

[tex]r^{2}[/tex]= 600/(12 π)

[tex]r^{2}[/tex]=15.9

r=4 units

Hence the answer is 4 units.

to learn more about radius click on the link below.

https://brainly.com/question/27696929

#SPJ13

Average of first 50 positive integers which starts from 1 and goes till 50, we get as 25.5.

Mathematically speaking, positive integers are defined as "Integers that are greater than zero." Three categories of integers exist: negative integers, zero, and positive integers.

AVERAGE =[tex]\frac{First Number + Last term}{2}[/tex]

50 positive numbers starting from 1 to 50

So,

First number = 1

Lat number = 50

Putting in formula we get,

AVERAGE = [tex]\frac{1+50}{2}[/tex]

                = 25.5

To learn more about Average, visit:

https://brainly.com/question/2906096

#SPJ4

The number is 161.

Given,

In the question:

3/7 of a number is 69.

To find the what is the number?

Now, According to the question:

Based on the given condition :

Formulate:

3/7 of a number is 69.

=> 3/7 =  69

=> 3 = 69 x 7

Calculate the product or quotient.

=> 3 = 483

Divide by 3 on both sides:

=> 483/3

= 161

Hence, The number is 161.

Learn more about Product at:

https://brainly.com/question/17661719

#SPJ9

Answer: 6 hours washing cars and 4 hours tutoring

Step-by-step explanation:

# of hours washing cars can be represented as x

# of hours tutoring can be represented by y

10x + 12y = $108

y + 2 = x

10 (y +2) + 12y = 108

10y + 20 + 12y = 108

22y + 20 = 108

22y = 88

y = 4 hrs tutoring

4 + 2 = 6 hrs washing cars

Check:

10(6) + 4(12) = 108

108 = 108

The number of hours Naomi worked washing cars last week and the number of hours she worked tutoring last week will be 4 and 6 hours respectively.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Naomi is earning $10 per hour washing cars and $12 per hour tutoring during the summer. Naomi worked 2 more hours washing cars last week than tutoring, earning a total of $108.

Suppose the number of hours invested in washing cars is x and tutoring be y.

It is given that, Naomi is earning $10 per hour washing cars and $12 per hour tutoring during the summer and earning a total of $108.The obtained equation is

10x + 12y = $108 -----(1)

If Naomi worked 2 more hours washing cars last week than tutoring. The obtained equation is

y + 2 = x -----(2)

Substitute the value of y in equation 1

10 (y +2) + 12y = 108

10y + 20 + 12y = 108

22y + 20 = 108

22y = 88

y = 4 hrs

The value of x is,

x=y+2

x=4+2

x=6

Thus, the number of hours Naomi worked washing cars last week and the number of hours she worked tutoring last week will be 4 and 6 hours respectively.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2