Speed and travel time are inversely related, the faster you go, the less time it takes
to get to your destination. If it takes 20 minutes to get to school when you go 30 mph,
how long will it take to get to school if you travel 45 mph? (hint: speed=k/time)

Answer: x=3

Step-by-step explanation:

1. Hans needs to rent a moving truck. Suppose Company A charges $40.00 per day and Company B charges a $60.00 fee plus $20.00 per day, for what number of days is the cost the same?

Let x = # of days, since Company A charges $40/day then cost after x days = 40x

Let x = # of days, since Company B charges $20/day plus $60 fee, then cost after x days = 20x + 60

a. For what # of days is the cost the same?

   When the cost is the same => 40x = 20x + 60

                                                    40x - 20x = 60

                                                             20x = 60

                                                                 x = 60/20

                                                                 x = 3

 The cost is the same after 3 days.

 Checking:

$40(3)  = $20(3) + $60

$120    = $60 + $60

$120    = $120

Answer:

16,300,000 viewers

Step-by-step explanation:

We have two ordered pairs and we can write an equation in the slope intercept form of the line from the information that we have.

y = mx + b  y is the number of viewers and x in the number of minutes of ads.

m is the slope.  That is the change in y over the change in x.  We will use the two points given to find this.

(14, 10,000,000) (25, 17,000,000)  

slope:

[tex]\frac{y{1}- y{2} }{x_{1}-x_{2} }[/tex] = [tex]\frac{17,000,000 - 10,000,000}{25-15}[/tex] =[tex]\frac{7,000,000}{10}[/tex] = 700,000

Now we need the b or the y-intercept.  We will use the slope and one of the points to find this.  We could use either point. I am going to use the point (15, 10,000,000)

y = mx + b

I will use 10,000,000 for y

I will use 15 for x

I will use 700,000 for the slope.

I will plug these numbers in and solve for b

10,000,000 = 700,000(15) + b

10,000,000 = 10,500,000 + b  Subtract 10,500,000 from both sides

-500,000 = b

Now we can write the equation

y = mx + b

y = 700,000x -500,000 Plug is the 24  for x to solve for the number of views.

y = 700,000(24) -500,000

y = 16,800,000 - 500,000

y = 16,300,000

Three subsystems are reliability-wise in series and make up a system. Subsystem 1 has a reliability of 99.5%, subsystem 2 has a reliability of 98.7% and subsystem 3 has a reliability of 97.3% for a mission of 100 hours.

We suppose that the system consists of one operating series subsystem, an identical stand-by subsystem, and a switch. Each subsystem consists of N components.

When the operating subsystem fails, the spare is put in motion by the switch immediately. The failed subsystem is restoring or changing the failed component. Because of the memoryless property of the exponential distribution of components lifetime, the renewal of a failed element means the renewal of the whole subsystem. We assume that there is a single repair facility. A renewal time is a random variable having distribution depending on a failed component. We suppose that the lengths of restoring periods of components are represented by identical copies of nonnegative random variables.

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Answer:

red - 1/2 × b × h

=1/2 × 3 × 4

= 6

green - 1/2 × b × h

= 1/2 × 4 × 4

= 8

Answer:

m = -4

Step-by-step explanation:

We are given the points (-7, -2) and (-2, -22), and we want to write the slope of the line.

The slope (m) can be calculated from two points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

We already have everything we need to calculate the slope, however, let's label their values to help avoid any confusion and mistakes for later.

[tex]x_1=-7\\y_1=-2\\x_2=-2\\y_2=-22[/tex]

Now, substitute these values into the formula. Remember that the formula has subtraction, and we're dealing with negative numbers here.

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-22--2}{-2--7}[/tex]

Simplify.

m=[tex]\frac{-22+2}{-2+7}[/tex]

Add.

m=[tex]\frac{-20}{5}[/tex]

Divide.

m = -4

The slope of the line is -4.

Topic: slope

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Answer: 3x+6y > 21

Step-by-step explanation:

total distance kylie runs is the combined amount of loops from both paths. 3x represents however many loops she runs times the length of the short path. 6y represents however many loops she runs times the long path. Both of them have to add up and be greater than 21.

The result of each arithmetic operation is

1) -4×(-6)=24

2) -24 × [tex]-(\frac{7}{6})[/tex] = 28

3) 4 ÷ (-6) = [tex]-\frac{2}{3}[/tex]

4) [tex]\frac{4}{3}[/tex]÷(-24)=[tex]-\frac{1}{18}[/tex]

Part 1

-4×(-6)=24

Part 2

-24 × [tex]-(\frac{7}{6})[/tex] =[tex]\frac{(24)(7)}{6}[/tex]

=[tex]\frac{168}{6}[/tex]

=28

Part 3

4 ÷ (-6) =[tex]-\frac{4}{6}[/tex]

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

Part 4

[tex]\frac{4}{3}[/tex]÷(-24)= [tex](\frac{4}{3})(-\frac{1}{24} )[/tex]

=[tex]-\frac{4}{24}[/tex]

=[tex]-\frac{1}{18}[/tex]

Hence, the result of the following arithmetic operation is

1) -4×(-6)=24

2) -24 × [tex]-(\frac{7}{6})[/tex] = 28

3) 4 ÷ (-6) = [tex]-\frac{2}{3}[/tex]

4) [tex]\frac{4}{3}[/tex]÷(-24)=[tex]-\frac{1}{18}[/tex]

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Answer:

12

Step-by-step explanation:

-4 X 3 =-12

=-(-12)

=12

Answer:

Step-by-step explanation:

Arithmetic mean is the average of the numbers.

Formula we use is,

→ Mean = (x + y)/2

a) 40 and 60 = ?

→ (40 + 60)/2

→ 100/2 = 50

Thus, the mean is 50.

b) -60 and -20 = ?

→ (-60 - 20)/2

→ -80/2 = -40

Thus, the mean is -40.

c) (7/3) and (11/3) = ?

→ ((7/3) + (11/3))/2

→ (18/3)/2

→ 6/2 = 3

Thus, the mean is 3.

Answer:

36 cm³

Step-by-step explanation:

6x3x2 = (36 cm³)
Length x Width x Height

The expected value is 3/31.

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Explanation:

She read 40 books over 5 months. This means her unit rate is 8 books per month (since 40/5 = 8)

x = number of months

(unit rate)*(number of months) = total books read

8x = 72

x = 72/8

x = 9

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

Another way to solve

(40 books)/(5 months) = (72 books)/(x months)

40/5 = 72/x

40x = 5*72 ... cross multiplying

40x = 360

x = 360/40

x = 9

1264₈ = 1•8³ + 2•8² + 6•8¹ + 4•8⁰

1264₈ = (2³)³ + 2•(2³)² + 3•2•2³ + 2²

1264₈ = 2⁹ + 2⁷ + 3•2⁴ + 2²

1264₈ = 512 + 128 + 3•16 + 4

1264₈ = 692

After converting the base, 1264 base 8 is equal to 692 base 10.

To convert a number from base 8 (octal) to base 10 (decimal), we need to evaluate the value of each digit in the base 8 number and then calculate the equivalent decimal value.

Given the number 1264 in base 8, we can break it down into its digits:

1 * 8³ + 2 * 8² + 6 * 8 + 4 * 1

Simplifying this expression:

1 * 512 + 2 * 64 + 6 * 8 + 4 * 1

Evaluating the multiplication:

512 + 128 + 48 + 4

Adding the products together:

692

In summary, to convert a number from base 8 to base 10, we evaluate the value of each digit by multiplying it with the corresponding power of 8, and then sum up the results. This gives us the equivalent decimal value of the number.

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 volume of a sphere with a radius of 6 inches is 288π cubic inches.

A sphere is a collection of points in space that are separated from the center by an amount r. The volume of a solid in three dimensions is the area it occupies. The cubic is the unit of volume ( in3,ft3,cm3,m3 , etc ). Ensure that all measurements are made in the same unit before estimating the volume. A sphere's volume, V, is equal to four thirds of pi times the square of the radius.

V=43πr3

Half of the connected sphere's volume makes up a hemisphere. A sphere's volume is 2/3 that of a cylinder with the same radius and height that is equal to its diameter.

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Answer: Say you want to perform the following subtraction in base 5. Borrow a 5 from 3 fives. 3 fives in now 2 fives. Then, add that 5 to the 1 to make it 6.

Step-by-step explanation: there

Upto 5 hours companies will charge at the same price.

Functions can be represented in a variety of ways. A function, for instance, can be depicted using an input-output table, a graph, and an equation.It's occasionally necessary to compare two functions that are represented in different ways because of an issue. You might be asked, for instance, which function is greater for a given number or which function increases more quickly after being presented with a table and a graph.

Given that :For a limo rental, Lily's limos charges $150 plus $40 per hour. For a limo rental, Ron's Luxury Rides charges $200 plus $30 per hour.

Based on the given condition ,

equation is 150 + 40x = 200 + 30x

40x - 30x = 200 - 150

10x = 200 -150

10x = 50

x =[tex]\frac{50}{10}[/tex]

x = 5

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Answer:

10(4f + 3)

Step-by-step explanation:

Both terms here are multiples of 10 hence we can factor out ten which is the greatest common factor resulting in 10(4f + 3)

1. The correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17

2. The correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28

3. The correct arithmetic operation with parentheses is  5 × (3 + 2) × 6 ÷ 3

4. The correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4

5. The correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19

6. the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35

Arithmetic operations are mathematical operations that involve multiplication, division , addition and subtraction.

Arithmetic operations follow the rule of BODMAS where

How to insert parentheses in the appropriate places:

Since the expression evaluates to 17, we put a parentheses between 3 and - 2. So,

8 + (3 - 2) × 9 = 8 + 1 × 9

= 8 + 9

= 17

So, the correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17

Since the expression evaluates to 28, we a parentheses between 4 and + 3. So,

28 ÷ 4 + 3 × 4 + 3 = 28 ÷ (4 + 3) × (4 + 3)

= 28 ÷ 7 × (4 + 3)

= 4  × 7

= 28

So, the correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28

Since the expression evaluates to 50, we put a parentheses between 3 and + 2. So,

5 × 3 + 2 × 6 ÷ 3 = 5 × (3 + 2) × 6 ÷ 3

= 5 × 5 × 2

= 50

So, the correct arithmetic operation with parentheses is  5 × (3 + 2) × 6 ÷ 3

Since the expression evaluates to 30, we put a parentheses between 9 - 4 and 3 - 3. So,

6 × 9 - 4 + 3 - 3 × 4 = 6 × (9 - 4) + (3 - 3) × 4

= 6 × 5 + 0 × 4

= 30 + 0

= 30

So, the correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4

Since the expression evaluates to 19, we put a parentheses between 2 and 6, and also 5 and 3. So,

5 × 3 + 2 × 6 ÷ 3 = (5 × 3) + (2 × 6) ÷ 3

= 15 + 12 ÷ 3

= 15 + 4

= 19

So, the correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19

Since the expression evaluates to 35, we put a parentheses between 6 and 3 and also both 3's. So,

5 × 3 + 2 × 6 ÷ 3 = 5 × [3 + 2 × (6 ÷ 3)]

= 5 × [3 + 2 × 2]

= 5 × [3 + 4]

=  5 × 7

= 35

So, the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)]  = 35

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Answer:  Food is Food

Step-by-step explanation:

Basically, this is a domain. Well, a condition.

It's saying that any value that you subsitute in x , which is then multiplied by 4 and added 6, must ALWAYS be greater than -14, but lesser than 18.

Answer:

y=x+2

Step-by-step explanation:

use the formula y=mx+c

first u find m which is the gradient 3-1/5-3 = 2/2=1

sub in any point to find the c

5=1(3)+c

c=2

y=1x+2

Answer:

2.8 squared

2.6 cubed

2.6 twenty-fourth power

2.6 eighteenth power

its korrect now

The required simplified solution of the given expression is 1.2 to the twenty-fourth power over 1.4 to the eighteenth power. Option D is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six is given as,
x = [1.4³/1.2⁴]⁻⁶
x = 1.4⁻¹⁸ / 1.2⁻²⁴
x = 1.2²⁴ / 1.4¹⁸

Thus, the required simplified solution of the given expression is 1.2 to the twenty-fourth power over 1.4 to the eighteenth power. Option D is correct.

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Answer: To graph a vertical line that goes through a given point, first plot that point. Then draw a straight line up and down that goes through the point, and you're done!

Step-by-step explanation: pls give brainliest

Answer:

add a pic

Step-by-step explanation:

Answer: the 4th boy is 11

Step-by-step explanation:

Let's denote the age of the boys as: x₁, x₂, x₃, x₄.

Then,

[tex]\displaystyle\\\frac{x_1+x_2+x_3}{3}=15[/tex]

Multiply both parts of the equation by denoting by 3:

x₁+x₂+x₃=15(3)

x₁+x₂+x₃=45

Hence,

[tex]\displaystyle\\\frac{x_1+x_2+x_3+x_4}{4} =14\\\\\frac{(x_1+x_2+x_3)+x_4}{4} =14\\\\\frac{45+x_4}{4}=14[/tex]

Multiply both parts of the equation by denoting by 4:

45+x₄=14(4)

45+x₄=56

45+x₄-45=56-45

x₄=11

It lies in the quadrant IV.

Since we know that a full circle is broken into four parts known as quadrants into regions of π/2.Since quadrant  1 ranges from 0 to π/2,  quadrant 2 ranges from π/2 to π, then quadrant 3 ranges from π to 3π/2, and at last quadrant 4 ranges from 3π/2 to 2π.

And we know 2π is equal to approx  6.28 radians,  so each quadrant will have  2π/ 4 = π2  ≈1.57 radians

So for angle  -7 it will be =  −7/(π/2) ≈−4.45.

So  moving around the circle,  it appears halfway through the quadrant IV.

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Answer:

86

Step-by-step explanation:

Answer: 924212

Step-by-step explanation:

362x+836y+918334

362(7)+836(4)+918334

(362 x 7) + (836 x 4)+918334

Answer: 10000

Step-by-step explanation: That is as close to ten thousand as you can get

Answer:

3 hours

Step-by-step explanation:

but it can be a cent off, so it might be wrong.