On Thursday after work, the number of cars in a parking lot decreased at a steady rate of 13 cars every 2 minutes. Which rational number describes the number of cars per minute?

Answers

Answer 1
find the unit rate: 13/2 = 6.5 cars/min
Answer 2

Answer:

Required ration which represent the situation = [tex]\frac{-13}{2}[/tex]

Step-by-step explanation:

Given: Cars in parking lot decreases at rate of 13 cars every 2 minutes.

To find: Rational Number which represent given information

Rational Number is a number in form of  [tex]\frac{p}{q}[/tex] where p be any integer and q is non zero integer.

So from given information

No of cars decreases in 2 minutes = 13 cars

So, No of cars decreases in 1 minute = [tex]\frac{13}{2}[/tex]

Therefore rate at which cars decreasing in parking lot is  [tex]\frac{13}{2}[/tex]  cars/min.

Since it is decreasing, ration which represent it must be equal to [tex]\frac{-13}{2}[/tex]

Therefore, Required ration which represent the situation = [tex]\frac{-13}{2}[/tex]


Related Questions

A triangle is rotated 180 degrees about the origin. Its image is reflected in the x-axis. The vertices of the final triangle are (-4,-4), (-2, -4), and (-3, -1). What are the vertices of the original triangle?

Answers

Hello!
So in this question, you need to do it backwards. This means, taking the vertices of the new triangle and reflecting it across the X axis, and then reflecting it 180 degrees.
The formula for reflecting across the X axis is--
(X,Y) -> (X,-Y) *Note, in this case, it may not always be negative Y. The                                  negative symbol only stands for the opposite. So it the                                    point is negative originally, then the new point would be                                  positive.
__________________________________
So, now you take your points, and use the formula.
(-4,-4) -> (-4,4)
(-2,-4) -> (-2,4)
(-3,-1) -> (-3,1)
Now, you have your new points. But, you still need to rotate it 180 degrees.
The formula to rotate 180 degrees is--
(X,Y) -> (-X,-Y)
Then, you take your new points, and use the formula for each coordinate.
(-4,4) -> (4,-4)
(-2,4) -> (2,-4)
(-3,1) -> (3,-1)
There is your answer. The new points would be--
(4,-4)
(2,-4)
(3,-1)
Hope this helped!
Regards,
~KayEmQue

The original vertices of the triangle is at A(4, 4), B(2, 4) and C(3, 1)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Rotation is the rotation of a figure about a point. If point A(x, y) is rotation 180 degrees about the origin, the new point is at A'(-x, -y).

Given the vertices of the final triangle are A'(-4,-4), B'(-2, -4), and C'(-3, -1) after a 180 degrees rotation. Therefore the original vertices of the triangle is:

A(4, 4), B(2, 4) and C(3, 1)

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at 1200 hours in london it is 0400 hours in Los Angeles. What day and time is it in Los Angeles if it is 0630 hours on sunday in London?

Answers

Monday 2330 hours is the answer

Mr Paul drove to clay and back from drake he drove 312 miles took a break and then drove 244 miles to clay on his trip back to drake from clay he drove 305 miles before he took a break if he drove the same route back how many miles did he drive the second part of his return trip

Answers

vffvfgrdvvvdvvvfyuvhbkn mkio;jglyutfvcgvb nhjgtrfcvb njihuygbh nbhjugbn jhbgfvc bnhjuyb njuhnjuhnb nhjuhnbnjhnb bnhjnbnhjhb bhb bhh

312+244=556, 556-305=251 miles
The second part of his trip he drove 251 miles

a stem-and-leaf plot shows the shape of data but not individual values true or false

Answers

The given statement "a stem-and-leaf plot shows the shape of data but not individual values" is true.

What is a stem-and-leaf plot?

A stem-and-leaf plot is a graphical representation of a dataset that shows the distribution of data. It is useful for quickly summarizing and visualizing data, especially for small to moderate-sized datasets.

In a stem-and-leaf plot, the "stem" represents the first digit or digits of the data values, and the "leaves" represent the remaining digits. Each leaf corresponds to a single data value. For example, if the stem is "5" and the leaf is "2", it would represent a data value of 52.

While a stem-and-leaf plot provides information on the shape of the data, such as the range of values and the distribution, it does not show the individual data values directly. Instead, it groups them into bins based on the stem and leaf representation. To get the actual values, one needs to refer to the original dataset.

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What is the solution of the system? Also if you can, explain please?


Use the elimination method.
−4x−2y=−12
2x+4y=−12

Answers

In order to find the solution (point of intersection) of two lines, you must solve them simultaneously for the x-coordinates and y-coordinates.

Let   -4x - 2y = -12    be (eq1)
 &     2x + 4y = -12    be  (eq2)

Now you have to find a way to multiply one or two of the equations so that upon adding or subtracting them, the two equations will become a single equation with one solvable variable.

     by multiplying (eq 1) by 2
                            2(-4x - 2y = -12)
             Now let     -8x - 4y = -24      (eq1ᵃ)

                          
        So,   -8x - 4y + (2x + 4y) = -24 + (-12)      [eq1ᵃ + eq2]
            ⇒   -8x + 2x - 4y + 4y = - 36 
                                       - 6x  = - 36
                                 ⇒       x  = 6

     By substituting x = 6 into  eq2
                ⇒ 2(6) + 4y = - 12
                       12 + 4y = - 12
                              4y = - 24
                            ⇒ y = -6

Thus the solution set is (6 , -6)

I seriously don't know.

Answers

1)
(x+3)(x+5)=
x*x+x*5+3*x+3*5=
x^2+5x+3x+15=
x^2+8x+15
2)
(x+3)(x-5)=
x*x+x*(-5)+3*x+3*(-5)=
x^2-5x+3x-15=
x^2-2x-15
3)
(x-3)(x-5)=
x*x+x*(-5)+(-3)*x+(-3)*(-5)=
x^2-5x-3x+15=
x^2-8x+15
4)
(2x+4)(x-7)=
(2x)*x+(2x)*(-7)+4*x+4*(-7)=
2x^2-14x+4x-28=
2x^2-10x-28
#1.

[tex](x+3)(x+5)[/tex]
[tex]x^2+5x+3x+15[/tex]
[tex]x^2+8x+15 [/tex]

#2.

[tex](x+3)(x-5)[/tex]
[tex]x^2-5x+3x-15[/tex]
[tex]x^2-2x-15[/tex]

#3.

[tex](x-3)(x-5)[/tex]
[tex]x^2-5x-3x+15[/tex]
[tex]x^2-8x+15[/tex]

#4.

[tex](2x+4)(x-7)[/tex]
[tex]2x^2-14x+4x-28[/tex]
[tex]2x^2-10x-28[/tex]


Hope I've Helped!

PLEASE HELP!
Write an algebraic expression for 9 groups of w

Answers

The algebraic expression is 9w.

Hope this helps!

It is 9w hope this helps


Which set of values could be the side lengths of a 30-60-90 triangle?

Answers

3×10 3×20 3×30 that would be The length ×width to figure that out

Answer:

can we see an example

Step-by-step explanation:

How to multiply fractions

Answers

To multiply fractions you multiply the numerator and that becomes the answer to the numerator
And then you do the same for the denominator
Then simplify if you can
Example:
2/5 * 3/6 = 6/30 = 1/5

Hello There!

To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.

Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.

Finally, you want to find the greatest common factor but only if the fraction can be simplified.

That Is How To Multiply Fractions

Determine the length of the hypotenuse

Answers

21^2 + 28^2 = Hypotenuse^2

441 + 784 = 1225

sqrt (1225) = 35

hypotenuse = 35

5.35 rounded to the nearest hundredth

Answers

5.35 rounded to the nearest hundredth
Answer: 5.4
Hello there my friend :)

What is 5.35 rounded to the nearest hundred?

Your answer would be 5.4

Hope this helped ^_^

Have a Happy Thanks Giving Break :)
-Ans-

what is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18

Answers

[tex] \text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3 [/tex]

Answer:

A on edge/e2020

Step-by-step explanation:

There is 3/4 of a pizza leftover from the night before. How many 1/8 portions are there

Answers

there are 6 portions left because 3/4x2= 6/8, 6/8 divided by 1/8 = 6
If you would want to know how many 1/8's you would have to find the LCD or LCM. Least common denominator of 3/4. It is 8. You multiply 2 by each side and you get 6. There are 6/8 of portions there.

how do you graph y-6=(x+2)

Answers

To make your equation easier to graph, you can try simplifying it. Add 6 to both sides.

y-6 = (x+2)
  + 6     + 6
y = x + 8

Then, try plugging in values for x and using that output as your y value. Some coordinates on your graph would be (0, 8), (1, 9), (2, 10), (3, 11), etc.

Hope this helps!

Please help I'll rate brainiest answer and 5 stars I suck at math

Answers

The answer would be D

the answer is -5/6...ill explain later

Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years. Enter an inequality that can be used to represent this situation in the box, where x represents Victoria's neighbor's age..

Answers

x= neighbor of Victoria

x+4≤14= Victoria

x≤10 Victoria's neighbor

x+4≤14 Victoria is ≤ 14 years old

The answer on my test said that it's x+x+4=<14

explain how knowing 50 x 4 = 200 helps you find 500 X 400?

Answers

If you know the answer to 50 x 4 = 200 then you can just add the other zeros

Identify the type of function represented by f(x)=3/8(4)^x

A. Exponential Growth
B. Quadratic
C.Linear
D.Exponential Decay

Answers

In Apex its A. Exponetial Growth

Answer:

Option A - Exponential Growth

Step-by-step explanation:

Given : [tex]f(x)=\frac{3}{8} (4)^x[/tex]

To find : Identify the type of function given ?

Solution :    

The given function is in the form  [tex]f(x)=ab^x[/tex]

This form is an exponential form in which a is the initial value and b is the growth/decay rate factor.

If we compare the given expression,  [tex]f(x)=\frac{3}{8} (4)^x[/tex]

The initial value is  [tex]a=\frac{3}{8}[/tex]

and the growth/decay rate factor [tex]b=4[/tex]  

Since b>1 then it is a growth factor.

Refer the attached figure below.

Therefore, Option A is correct.

The function  [tex]f(x)=\frac{3}{8} (4)^x[/tex] is an exponential growth function.

Jessica has a rectangular poster. The poster is 1.8 meters long and 1.5 meters wide. What is the area of the poster in square centimeters?

Answers

You have to multiply length times width. In this case, the length is 1.8 meters. and the width is 1.5 meters. That would give you a total of 2.7 meters square. They are telling to you to put the answer in centimeters, so you have to change the meters to centimeters, 1 meters = 100 centimeters, so you have to multiply 2.7*100 which would give you an answer of 270 square centimeters. YOU'RE WELCOME :)

The area of Jessica's rectangular poster is 27,000 square centimeters.

What is the area of the rectangular poster?

Given the parameters:

Jessica's rectangular poster has dimensions of 1.8 meters in length and 1.5 meters in width.

To find the area of the poster in square centimeters, we need to first convert the dimensions from meters to centimeters, as the area is measured in square centimeters.

Hence:

Length in centimeters = 1.8 × 100 = 180 centimeters

Width in centimeters = 1.5 meters × 100 = 150 centimeters

Next, we can find the area of the poster in square centimeters:

Area = Length × Width

Area = 180 centimeters × 150 centimeters

Area = 27,000 cm²

Therefore, the area is 27,000 square centimeters.

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Which number supports the given conjecture? 

If the sum of the digits of a number is divisible by 9, then the number is also divisible by 9.



 
A.
19


 
B.
54


 
C.
87


 
D.
109

Answers

Your answer would be B:54

The temperature has been going down at a constant rate. In 3 hours it went down 15 degrees. Which expression best shows the temperature change each hour?

Answers

15/3=5
The temperature goes down 5 degrees in 1 hour.

An expression that represents temperature change per hour is Time = 3 *temperature change.

What is an expression in mathematics?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given, The pace of the temperature decline has been steady. It dropped 15 degrees in 3 hours. Hence

in three hours temperature drops  by 15 degrees

in one hour temperature drops = 15/3 = 5 degrees

Therefore, Time = 3 *temperature change is an equation that shows the temperature change per hour.

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John Took a 5 1/2 mile walk to his friends house. He left at 11 AM and arrived at his friends house at 1 PM

a. What was his average speed of walking

Answers

Hi there! 11AM and 1PM are two hours apart, so John walked for 2 hours. To find his average speed of walking, we can basically divide both numbers, because speed = distance/time. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the second fraction over. 5 1/2 as a mixed number is 11/2. 11/2 * 1/2 is 11/4 or 2 3/4 in simplest form. John walked 2 3/4 miles per hour.

What percent of a circle is 2/5 of a circle? Explain

Answers

40 percent 2 divided by 5 equals .4
Final answer:

2/5 of a circle is equivalent to 40% of the circle. This is determined by multiplying 2/5 by 100%.

Explanation:

In the field of

Mathematics

, a circle is divided into an angle of 360 degrees or 100 percent. If we want to find out what percent of a circle is 2/5 of a circle, we need to perform a simple calculation.

Firstly, note that 1 whole circle (or 360 degrees) is equivalent to 100%.

When we say 2/5 of a circle, we are referring to 2/5 parts of the whole circle.

To find out what percent 2/5 of the circle is, we multiply 2/5 by 100%:

(2/5) * 100% = 40%

This means that 2/5 of a circle is 40% of the whole circle.

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At the market, 8 batteries cost $10 .How much do 6 batteries cost

Answers

divide 10 by 8 to get price per battery

10/ 8 =1.25 per battery

 now multiply 1.25 x 6 for total

1.25 * 6 = $7.50 for 6 batteries


Given that eight batteries cost $10, six batteries will cost $7.5

How much do 6 batteries cost?

Given that;

8 batteries cost $101 battery = ?

If 8 batteries cost $10, 1 battery will be;

1 battery = $10 / 8

1 battery = $1.25

Now, given that;

1 battery cost $1.256 batteries = ?

If 1 battery cost $1.25, 6 batteries will be;

6 batteries = $1.25 × 6

6 batteries = $7.5

Given that eight batteries cost $10, six batteries will cost $7.5.

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Damian wrote the number four and twenty three thousandths as 4.23 describe and correct hi number

Answers

Final answer:

The correct representation of four and twenty three thousandths in decimal form is 4.023, not 4.23. The second decimal place represents hundredths and the third decimal place represents thousandths.

Explanation:

Damian's notation of four and twenty three thousandths as 4.23 is incorrect. This number should be represented as 4.023. The reason is in the understanding of decimal places. In decimal notation, the first place after the decimal point represents tenths, the second represents hundredths, and the third represents thousandths. Hence, twenty three thousandths is written as 0.023. Damian, therefore, mislocated the decimal point. So, to correct his number, it would be four (the whole number) + twenty three thousandths (0.023) = 4.023.

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Which of the following is an institution that functions much like a business, but does not operate for the purpose of generating profits? a business franchise a nonprofit organization a consumer cooperative a labor union

Answers

Non-profit organization

Answer:

a nonprofit organization

Step-by-step explanation:

A non profit organization is an organization that works with humanitary goals, and has non profit characteristics, they can not have a profit from their activities, but are able to gather money and to pay wages to their employees, they can also receive donations and are exempted from paying some kind of taxes.

Evaluate the expression and prove your answer by using a model. 5/8 divide by 1/2

Answers

If dividing fractions
Don't be shy...
Just flip the second
And MULTIPLY!!!
They taught us this at school so it should be easier if you do this.

What percent is 108 of 81 (show work please thank you)

Answers

75% is the correct answer. Not sure how I got it
To find this, turn 108% into decimal. 108% = 27/25, which is 1.08 Now, multiply by 81. 1.08 * 81 = 87.48

Hope this helped!! ☺♥

What is the measure of angle EXH?

Answers

add the 3 angles together:

 30 + 30 + 30 = 90

 the answer is 90 degrees

THat would be the sum of the 3 marked angles

That is  90 degrees.

lana is using a can opener to open a can of soup every time she twists the knob of the can opener the can turns 36 degress

Answers

It takes 10 turns. There is 360 degrees in a circle, 360/36=10. 

Answer= 10 turns

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