Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need to mow next week so that each person earns at least $275? A. 45m - 30/4 _> 275 B. 45m/4 - 30 _>275 C. 45m - 30/4 _< 275 D. 45m/4 - 30 _< 275​

The required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

The relative frequency of the data is the ratio of the given frequency to the total frequency in the observation.

From the given data,

Relative frequency = given frequency / total frequency

Where total frequency = 0.04 + 0.4 + 0.12 + 0.24 + 0.2 = 1

Value     Relative frequency       Cumulative frequency

3                 0.04/1 = 0.04                  0.04    

4                 0.4/1 = 0.4                    0.04 + 0.4 = 0.44  

5                    0.12                           0.44 + 0.12 = 0.56

6                   0.24                           0.56 + 0.24 = 0.80  

7                     0.2                            0.80 + 0.2 = 1

Thus the required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

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Answer: the awnser is B

Answer:

Which of the following expressions represents five less than three times the number M

where are option ?

Answer:

3M-5

Step-by-step explanation:

You subtract the 5 from 3M and you have to make it 3 times M so you have the 3M.

Answer:

D, 6m

Step-by-step explanation:

Step one:

Given data

The volume and base area of a rectangular cargo container is 720 cubic

= 720m^3

The area of the cargo container is 120 m^2

Required

We want to find the height of the container

Step two

The expression  for the volume is given as

Volume= Area* height

so,

720= 120*h

divide both sides by 120

720/120= h

h= 6 m

The height is 6m

Answer: 260

Step-by-step explanation:

Answer:

(x,y) ---> (-x,y)  2nd choice

Step-by-step explanation:

reflection: If points reflect across the y-axis, their y-coordinates remain unchanged but their x-coordinates change into their opposites.

The original figure ABCD is reflected on y-axis and we got the image A'B'C'D'. Therefore, option B is the correct answer.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

In the given graph, ABCD is the original figure and A'B'C'D' is the image.

Here, A(-2, 1)→A'(2, 1)

B(-4, 1)→B'(4, 1)

C(-4, 5)→C'(4, 5)

D(-2, 4)→D'(2, 4)

Here, the rule is (x, y)→(-x, y)

Therefore, option B is the correct answer.

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Answer:

D

Step-by-step explanation:

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

y = 3 in the equation 2x + 3y = 12

Substitute 3 in for y.

2x + 3(3) = 12

Multiply.

2x + 9 = 12

Subtract 9 from both sides.

2x + 9 - 9 = 12 - 9

2x = 3

Divide both sides by 2.

2x ÷ 2 = x

3 ÷ 2 = 3/2 or 1.5

x = 1.5

Answer:

X = 1.5

Step-by-step explanation:

So we know that Y = 3 and 3 x 3 = 9, then we need to get the difference of 9 to 12

12 - 9 = 3

we now know that x will equal 3, so 2 x 1.5 = 3, and 3 + 9 = 12

(Full equation)

2 x 1.5 + 3 x 3 = 12

Answer:

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Step-by-step explanation:

The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.

Let's substitute in our points.

[tex]\frac{150-100}{3-0}[/tex]

Simplify.

[tex]\frac{50}{3}[/tex]

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].

We'll put that in our equation for a line and...bam!

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Given :

Total amount paid for the car is, A = $20,500.

Sales tax is 6.5%.

To Find :

The list price i.e. price without tax.

Solution :

Let, list price is P.

P = A - 0.65A

P = A( 1 - 0.65 )

P = 20500×( 1 - 0.065 )

P = $19167.5

Therefore, the list price of car is $19167.5  .

Answer:

+18,000

Step-by-step explanation:

Answer:

population of a certain city is increased by 10,000 people. write

a signed number to represent this population change.

a car corporation produced 920 fewer cars this month than last. write a signed number to represent this months change in production

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

if u divide it then slop  it u will get your answer

Step-by-step explanation:

Answer: 3,140 radians per minute.

Step-by-step explanation:

We know that the wheel does 500 revolutions per minute.

This is called the frequency of the wheel, and this is written as:

f = 500 rev/min = 500 RPM

The angular speed (or Angular velocity) is written as

ω = 2*pi*f

And this quantity is in radians/unit of time.

where pi = 3.14

then:

ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min

This means that the angular velocity  (or angular speed) is 3,140 radians per minute.

Answer:

The answer is 52.36

Step-by-step explanation:

got it right on edge ;)

Using PEMDAS we would do the multiplication and division first and then the subtraction. So 4*5 = 20 and 8/2 is 4 so therefore 20-4 is 16.

Answer:

PEMDAS (Multiply and divide, then add and subtract)

Step-by-step explanation:

Multiply 4 and 5 to get 20-8/2

Divide 8 by 2 to get 20-4

subtract to get 16

Answer:

y = 0.8x – 10

This is the correct answer.

Step-by-step explanation:

Answer:

25 units should be right

Step-by-step explanation:

prove me wrong

Answer:

3 X (2+3)

Step-by-step explanation:

If we have five students (3 girls and 2 boys), and three groups, we can use the expression 3 X (2+3), which concludes three groups times five students (in each group), which will give us our total of 15 students.

Answer:

a simple answer would be that rubber doesnt conduct electricity, so by wearing it you are at a substantially lower risk of being insured by electricity. This is also why people who work with electricity wear rubber soled boots.. to prevent grounding and ultimately, to prevent getting electrocuted. hope this helps :)

Answer:

if you don't wear rubber gloves, there will be a chance of you being electrocuted. Rubber gloves don't let any electricity to go through, so your body can stay safe.

Hope this helps.

Step-by-step explanation:

Answer:

mean: 19.66667

mode: 12

median: 18

range: 37

Answer:

B

Step-by-step explanation:

Answer:

vertex angle = 180° - 2x

Step-by-step explanation:

Since, the measure of each base angle of an isosceles triangle is represented by x.

So, by interior angle sum postulate of a triangle, we have:

x + x + vertex angle = 180°

2x + vertex angle = 180°

vertex angle = 180° - 2x

So, the vertex angle is represented by (180° - 2x).

Answer:(3,2)

Step-by-step explanation:

Answer:

Use “ Math- way”

Step-by-step explanation:

It’s a web browser made for this stuff, you‘re welcome

Answer:

p=−12x2+8x+−492

is what I got

The value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

It is given that the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54

That is (x - p)^2 + 5 = x^2 – 14x + 54

Solving for p;

x^2 + p^2 + 5 - 2px =  x^2 – 14x + 54

Combine the like terms;

p^2 + 5 - 2px =– 14x + 54

p^2 - 2px + 14x - 49 = 0

If we put p = 7 then

49 - 14x + 14x - 49 = 0

Therefore, the value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

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Answer:

59

Step-by-step explanation:

value in a expansion is 5

expansion

simplistic form