An airliner makes a 3,000 mile flight in 7 hours. What is the airliners average rate of speed in miles per hour ?

Answer:

30 units, 75 units and 60 units respectively

Step-by-step explanation:

Answer:

3 : 5 also = 0.6

Step-by-step explanation:

Yes, you are able to simplify the ratio into a decimal.

Answer:

So,x=2/3

Step-by-step explanation:

6x-10=-8+3x

6x-3x=-8+10

3x=2

x=2/3

Hope its helpful for you

Answer:

[tex]6x - 10 = - 8 + 3x \\ 6x - 3x = - 8 + 10 \\ 3x = 2 \\ \boxed{x = \frac{2}{3}}[/tex]

Answer:

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

Factorize as below and find roots:

Answer:

[tex]x=-1, \quad x=\dfrac{1}{2}, \quad x=-\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given polynomial:

[tex]f(x)=6x^2+7x^2-x-2[/tex]

[tex]\boxed{\begin{minipage}{6 cm}\underline{Factor Theorem}\\\\If $f(x)$ is a polynomial, and $f(a) = 0$,\\ then $(x-a)$ is a factor of $f(x)$.\\\end{minipage}}[/tex]

Since the constant of the given polynomial is -2, the possible factors are ±1 and ±2.

Apply the Factor Theorem to check the possible values:

[tex]f(1)=6(1)^3+7(1)^2-(1)-2=10 \neq 0[/tex]

[tex]f(-1)=6(-1)^3+7(-1)^2-(-1)-2=0[/tex]

[tex]f(2)=6(2)^3+7(2)^2-(2)-2=72 \neq 0[/tex]

[tex]f(-2)=6(-2)^3+7(-2)^2-(-2)-2=-20 \neq 0[/tex]

Therefore, (x + 1) is a factor of the polynomial:

[tex]f(x)=(x+1)(ax^2+bx+c)[/tex]

Compare with the original function to find the coefficients of the quadratic:

[tex]6x^3=ax^3 \implies a=6[/tex]

[tex]7x^2=(b+a)x^2 \implies b=1[/tex]

[tex]-2=c \implies c=-2[/tex]

Therefore:

[tex]f(x)=(x+1)(6x^2+x-2)[/tex]

Factor the quadratic:

[tex]f(x)=(x+1)(6x^2+4x-3x-2)[/tex]

[tex]f(x)=(x+1)[2x(3x+2)-1(3x+2)][/tex]

[tex]f(x)=(x+1)(2x-1)(3x+2)[/tex]

Set the polynomial function to zero:

[tex](x+1)(2x-1)(3x+2)=0[/tex]

Apply the zero product property:

[tex](x+1)=0 \implies x=-1[/tex]

[tex](2x-1)=0 \implies x=\dfrac{1}{2}[/tex]

[tex](3x+2)=0 \implies x=-\dfrac{2}{3}[/tex]

Therefore, the solutions are:

[tex]x=-1, \quad x=\dfrac{1}{2}, \quad x=-\dfrac{2}{3}[/tex]

Answer:

x = - 2 ± [tex]\sqrt{70}[/tex]

Step-by-step explanation:

(x + 2)² - 46 = 24 ( add 46 to both sides )

(x + 2)² = 70 ( take square root of both sides )

x + 2 = ± [tex]\sqrt{70}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{70}[/tex]

then solutions are

x = - 2 - [tex]\sqrt{70}[/tex] , x = - 2 + [tex]\sqrt{70}[/tex]

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

In the given data there is a total number of 11 terms for Hours. We have to calculate the median value of Hours by using the formula :

  => Median =  [tex]\frac{n+1}{2}[/tex], and we know that Q2 = Median so Q2 can be calculated by Q2 = [tex]\frac{n+1}{2}[/tex]  => Q2 = 6 => 6th term Will be the Median.

Median = Q2 = 1300 Hours.

Now we have to Calculate Lower Quartile Q1 & Upper Quartile Q3. Since We have our Median 1300 Hours. So, the lower quartile will be :

Q1 = 1100 Hours

and, the Upper Quartile will be Q3 = 1400 Hours.

We have our Upper and Lower Quartiles. We can Calculate Interquartile Range be using the formula Q3 - Q1

   => IQR = Q3 - Q1

Putting values of Q3 and Q1, We get :

  => IQR = 1400 - 1100  => IQR = 300 Hours

Hence, the Interquartile Range IQR is 300 Hours.

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12 hours will it take to fill the given pool .

we can solve this problem using unitary method ,

10 hours is required to fill the full pool

1 hour is required to fill 1/10th of the pool

30 hours is required to empty the pool

1 hour is required to empty 1/30th of the pool

If two pipes are open then in 1 hour ( 1/10 - 1/30 = 2/30 = 1/15 ) pool will be filled .

The pool is 1/5th filled already as it is mentioned .

So , remaining is ( 1 - 1/5 = 4/5 )

If 1/15th is filled in 1 hour , then 4/5th will be filled in ( 15 × 4/5 ) hours = 12 hours

So, it will take 12 hors to fill the pool .

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Suppose that today the exchange rate between the u.s. dollar and the chinese yuan is $1 =.12 yuan. if next week the exchange rate is $1 = .20 yuan, it is clear that yuan has depreciated relative to dollar.

What is meant by the exchange rate?

Last week: $1 = 0.12 yuan

Therefore, for exchange of $1, 0.12 yuan will be given

Today: $1 = 0.2

Therefore, for exchange of $1, 0.2 yuan will be given.

So, yuan will be given for same amount of $. Thus yuan has depreciated.

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Answer:

12

Step-by-step explanation:

that is my answer and I don't need your

Answer:

1. { 1 , 3, 4, 6, 7, 0, 5, 2 }

2. { 6 ,7 ,0 }

3. { 9 ,2 ,4 ,3 ,0 ,7 ,6 }

4. { 1 ,8 ,5 ,9 ,11 }

5. { 1 ,8 ,6 ,7 ,3 ,4 ,11 }

6.

7 . { 0 }

8. { 0 }

9. { 6 ,7 ,0 ,2 }

Step-by-step explanation:

for the 6th one I'm not sure about that , that's why i didn't write the answer for it

please make my answer as brainelist

Answer:

Decagon or 10

Step-by-step explanation:

Well to find the angle of B, you would have to do 180=2(18) which is 36 + x

x=180-36 x is 144 this is a decagon with ten sides due to the equation: 180(n-2)=144n where the answer is n=10

Can I have brainliest?

The ratio of blue balloons to the total number of balloons a. 1/2.

To find the ratio of blue balloons to the total number of balloons, firstly we need to find the number of blue balloons. Performing addition and subtraction for the same as follows -

Total number of balloons = Number of blue balloons + number of red balloons + number of white balloons

Number of blue balloons = 14 - (3 + 4)

Number of blue balloons = 14 - 7

Number of blue balloons = 7

Ratio = Number of blue balloons to the total number of balloons

Ratio = 7:14

Performing division of both digits by 7

Ratio = 1:2

Hence the ratio of blue balloons to the total number of balloons a. 1/2.

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The present ages of Ann and Julie are 12 years and 8 years, respectively.

Let x, y are the current ages of Ann and Julie, whose features are synthetized in the following linear equations:

Ann is 4 years older than Julie;

x = y + 4

x - y = 4                                (1)

4 years ago, Ann was twice as old as Julie;

x - 4 = 2 · (y - 4)

x - 4 = 2 · y - 8

x - 2 · y = - 4                         (2)

Now we proceed to determine the ages of Ann and Julie by solving the system of linear equations;

(x, y) = (12, 8)

Hence, The present ages of Ann and Julie are 12 years and 8 years.

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Answer:12

Step-by-step explanation:

Categorical data can be either numeric or nonnumeric.

Categorical data can be described as a type of data that can be divided into group and given labels or numerical value for the sake of identification.

Some examples of numerical data are age group, race, sex, educational level, among others.

For example, we can give numerical values like 1 for male, and 2 for female when categorizing people based on sex.

Therefore, categorical data can be either numeric or nonnumeric.

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Answer:

1) 38

2) 18

Step-by-step explanation:

1) 4m - 2t

m = 10

t = 2

(4 * 10) - (2 * 2)

40 - 4 = 36

Answer : 36

2) t + 2m - 4

m = 10

t = 2

2 + (2 * 10) - 4

22 - 4 = 18

Answer : 18

3) m/2t

m = 10

t = 2

10/(2*2) = 2.5

Answer : 2.5

Answer:

I believe its O x(yz)

Step-by-step explanation:

Step-by-step explanation:

direct variation means that

y = kx

that means it is a line with y-intercept = 0.

in other words, when x = 0, then y = 0 too.

for 2 given points the first part is automatically true. 2 points always define a line.

so, what we need to find out is, if (0, 0) is also on the line.

if not, it is not a direct variation.

the 2 points imply the equation

y = x + 2

as the y value is always larger than the x value by 2.

this has a y-intercept larger than 0 (2).

and so, (0, 0) is NOT on the line, and it is NOT a direct variation.

so, the 3rd answer option is correct.

Answer:

1/8  =  0.12500

Step-by-step explanation:

23   divided by   26   = 2(3 - 6) = 2(-3) = 1/23

Answer:

[tex]x+y=27[/tex]

[tex]y=2x+6[/tex]

Step-by-step explanation:

Letting [tex]x[/tex] and [tex]y[/tex] represent the smaller and larger number, respectively we create these equations.

To calculate average rate of change of a function f(x) over an interval between 2 points (a. f(a)) and (b, f(b)) is given by

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

The given function is [tex]h(x)= x^{2} -9x+18[/tex]

and the given interval is [tex]4\leq x\leq 11[/tex]

Now, h(b) = h(11) = [tex](11)^{2} -9(11)+18[/tex]

= [tex]121-99+18[/tex]

= [tex]40[/tex]

h(a) = h(4) = [tex](4)^{2} -9(4)+18[/tex]

= [tex]16 -36+18[/tex]

= [tex]-2[/tex]

The average rate of change between (4, -2) and (11, 40) is

= [tex]\frac{40-(-2)}{11-4}[/tex]

= [tex]\frac{40+2}{11-4}[/tex]

= [tex]\frac{42}{7}[/tex]

= [tex]42[/tex]

∴ The average rate of change between (4, -2) and (11, 40) is 42

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8) The equation of the line in slope-intercept form is y = 5 · x - 8. (Correct choice: A)

10) The slope of the line is equal to 0. (Correct choice: A)

11) The equation for a graph that is a vertical line is 3 · x - 2 = 0.   (Correct choice: C)

Herein we must analyze and understand linear equations and their features. 8) The first exercise consists in looking for a linear equation in slope-intercept form with a slope of 5 and y-intercept of - 8, linear equations in slope-intercept form are defined by the following expression:

y = m · x + b

Where:

If we know that m = 5 and b = - 8, then the equation of the line in slope-intercept form is y = 5 · x - 8. (Correct choice: A)

10) The slope can be determined by the secant line formula:

m = (3 - 3) / [5 - (-4)]

m = 0

The slope of the line is equal to 0. (Correct choice: A)

11) Vertical lines on a Cartesian plane are of the form x = a or x - a = 0. Then, the equation for a graph that is a vertical line is 3 · x - 2 = 0.   (Correct choice: C)

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Answer:

perry da platypus

Step-by-step explanation:

Australia's short beaked platypus

Step-by-step explanation:

sorry if am wrong

The terms of the expression are: -15h and 5y.

A term of an expression can be a constant, a variable multiplied by a constant, or a variable standing alone.

Given the expression, -9h + 5y - 6h, simplify the expression in order to determine the terms of the expression:

-9h + 5y - 6h

Combine like terms

-9h - 6h + 5y

-15h + 5y

Therefore, the terms of the expression are: -15h and 5y.

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Answer:

∠ ABC = 180 - 2x

Step-by-step explanation:

AB and BC are congruent , so the triangle is isosceles with base angles congruent , that is

∠ A = ∠ C = x

the sum of the 3 angles in the triangle = 180° , then

∠ ABC + x + x = 180

∠ ABC + 2x = 180 ( subtract 2x from both sides )

∠ ABC = 180 - 2x

Work Shown:

7 AM, temp = 5

8 AM, temp = -10

9 AM, temp = -25

10 AM, temp = -40

Shortcut: 5 - 3*15 = 5 - 45 = -40

I recommend drawing a vertical number line to see what's going on.

Side note: -40 degrees Celsius = -40 degrees Fahrenheit

An inequality that represents given scenario is 5 + 2.75x ≤ 21

For given question,

The $21 means that there is a limit to the number of stops she can take using the train.

From given information, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is calculated using:

Initial Fee + Rate × Number of stops ≤ Amount

We use ≤ because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

5 + 2.75x ≤ 21

Therefore, an inequality that represents given scenario is 5 + 2.75x ≤ 21

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