The number of cars (c) in a parking lot increases when the parking fee (f) decreases. Write the correct equation for this scenario, and solve for the number of cars when the fee is $6. Fee Cars 20 15 30 10

An Internet service company earned $770 in set-up fees for new homes in a neighborhood. For each new set-up they charged $35. Then they performed 22 new set ups. So option B is correct.

Two expressions with an equal sign is called equation.

An Internet service company earned $770 in set-up fees for new homes in a neighborhood. They charged $35 for each new set-up, then number of new setups we have to find,

Internet service company earned =$770

For each new set-up they charged $35

Number of set ups they perform = x

35x=770

x=770/35

x=22

Therefore 22 new setups are performed.

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In this case, we are simply asked to find for the value of:

xbya or abxy

Since we know that given values of ab and xy, therefore abxy is:

abxy = 37 * (1 / 37)

abxy = 37 / 37

abxy = 1

To make enough cookies to fill 24 boxes containing 6 cookies each, you need to make 12 dozen cookies.

To find out how many dozen cookies you need to make, you need to divide the total number of cookies by 12.

In this case, there are 24 boxes with 6 cookies each, so the total number of cookies is 24 x 6 = 144.

Dividing 144 by 12 gives us 12 dozen cookies.

Answer:

Answer:M=29

subtract 43.25 by 7 because it's a one time fee. But the 1.25 is for each minute so you subtract by 7 and you get 36.25. once you have 36.25 you divide it by 1.25. You should then get 29 mins.

The length of the line segment YX in rectangle YVWX is [tex]\rm 8\sqrt{3} \; units[/tex] and it can be determine by using the trignometric properties and properties of rectangle.

Given :

The length of the line segment YX in rectangle YVWX can be determine by using the trignometric properties.

[tex]\rm tan \theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]\rm tan 60 = \dfrac{24}{VW}[/tex]

[tex]\rm \sqrt{3} = \dfrac{24}{VW}[/tex]

[tex]\rm VW =8\sqrt{3}\;units[/tex]

In rectangle opposite sides are equal. Therefore, [tex]\rm VW=YX = 8\sqrt{3}\;units[/tex].

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[tex]\rm VW=YX = 8\sqrt(3)\;units.[/tex]

The length of the line segment YX in rectangle YVWX is \rm 8√(3)  \; units and it can be determine by using the trignometric properties and properties of rectangle.

Given :

YV = XW = 24 units
[tex]\rm \angle VXW = 30^\circ\\\rm \angle XWV = 90^\circ\\\rm \angle XVW = 60^\circ[/tex]
The length of the line segment YX in rectangle YVWX can be determine by using the trignometric properties.

[tex]\rm tan \theta = (Perpendicular)/(Base)\rm tan 60 = (24)/(VW)\rm √(3) = (24)/(VW)\rm VW =8√(3)\;units[/tex]

In rectangle opposite sides are equal. Therefore, [tex]\rm VW=YX = 8√(3)\;units[/tex].

If ABC measures 46 degrees, then the central angle ADC measures 23 degrees.

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC.

The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees,

The formula we use is shown below

The central angle = 2*(inscribed angle)

The angle ABC = 2*(angle ADC)

46 = 2*(angle ADC)

46/2 = 2*(angle ADC)/2 ... divide both sides by 2

23 = angle ADC

angle ADC = 23 degrees.

Therefore, If ABC measures 46 degrees, then the central angle ADC measures 23 degrees.

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factors 3 & 5

3*5 = 15

15, 30, 45, 60, 75, 90 are all the possible choices

 so the answer would be 45 since the numbers are only 1 apart

Answer:

The solution for t is  [tex]\frac{w}{(r_1+r_2)}[/tex]

Step-by-step explanation:

The given expression is [tex]w = t(r_1+r_2)[/tex]

We need to solve for the 't' ,

To solve for t, divide [tex]w = t(r_1+r_2)[/tex] by [tex](r_1+r_2)[/tex]

[tex]\frac{w}{(r_1+r_2)} = t[/tex]

Hence, The solution for t is  [tex]\frac{w}{(r_1+r_2)}[/tex]

Answer with Step-by-step explanation:

We have to determine the value of x on solving the system of linear equations:

2x-y = 11

x+3y = -5

2x-y=11

Adding y on both sides and subtracting by 11 on both sides, we get

y=2x-11

Putting value of y in x+3y = -5

x+3(2x-11) = -5

x+6x-33 = -5

7x -33 = -5

adding 33 on both sides, we get

7x= 28

Dividing by 7 on both sides, we get

x=4

Hence, Correct option is:

d. 4

Answer:

90000

Step-by-step explanation:

A significant figure is a number different from zero that assigns the value of the quantity.

In this case, you have four significant figures, not counting the zeros. To round this, you need the first upper number with only one significant figure.

For that, we use 9 because is the next number from 8, and then complete the value with zeros.

87600.2 will be 90000.0

Final answer:

To create a system of linear equations with the solution (-3, 9), we need to construct two equations that intersect at this point, for example, y = -3x + 18 and y = 2x + 15.

Explanation:

To write a system of linear equations with the solution (-3, 9), we can create two separate equations that intersect at this point. Using the equation provided, y = 9 + 3x, we can see that the point (-3, 9) satisfies this equation since plugging in x = -3 gives us y = 9 + 3(-3) = 9 - 9 = 0, which is incorrect. We must correct the mistake and ensure that the solution (-3, 9) satisfies both equations in our system.

A correct form of the first equation would be y = -3x + 9 (not y = 9 + 3x as provided), since plugging x = -3 yields y = -3(-3) + 9 = 9 + 9 = 18, which is also incorrect. Therefore, we need to be careful in constructing our equations.

Let's construct two new equations correctly:
First, we start with the equation y = -3x + 18, which does satisfy the condition when x = -3 and y = 9. Next, we can create a different equation with the same solution. For instance, if we want another equation, we might use the slope-intercept form, y = mx + b. We can choose a different slope (m), for example, m = 2, and find b such that when x = -3, y = 9:

y = mx + b
9 = 2(-3) + b
9 = -6 + b
b = 15

So, the second equation is y = 2x + 15. The system of linear equations with the solution (-3, 9) is:

1. y = -3x + 18
2. y = 2x + 15

Answer:

£56 did  Hannah receive Last week

Step-by-step explanation:

Let the number be x.

As per the statement:

Zoe and Hannah share tips in the ratio 3:7.

Then;

Total Zoe share = 3x

Total Hannah share = 7x

It is also given that Last week , Zoe received £24.

⇒3x = 24

Divide both sides by 3 we have;

x = 8

Hannah receive Last week = 7x = 7(8) =  £56

Therefore, £56 did  Hannah receive Last week

Jan's function has a domain of [30, 40] and a range of [$360, $480]. Rachel's function has a domain of [20, 30] and a range of [$220, $330]. Jan earns $12 per hour and can earn between $360 and $480 per week, while Rachel earns $11 per hour and can earn between $220 and $330 per week.

The domain of Jan's function is the range of hours she works per week, which is between 30 and 40, denoted by [30, 40]. The range of Jan's function is the amount of money she earns per week, which is calculated by multiplying her hourly wage ($12) by the number of hours she works (30 to 40 hours). So, the range of Jan's function is [$360, $480].

Similarly, Rachel's function is given by r(t) = 11t, where t represents the number of hours she works per week. The domain of Rachel's function is the range of hours she works per week, which is between 20 and 30, denoted by [20, 30]. The range of Rachel's function is the amount of money she earns per week, calculated by multiplying her hourly wage ($11) by the number of hours she works (20 to 30 hours). So, the range of Rachel's function is [$220, $330].

Comparing their hourly wages, Jan earns $12 per hour while Rachel earns $11 per hour. Comparing the amount they earn per week, Jan can earn between $360 and $480 per week while Rachel can earn between $220 and $330 per week.

Answer: 3.1 %

Step-by-step explanation:

Given : The probability that Shania is on time for school is [tex]\dfrac{1}{2}[/tex]

Since the each day is independent of other.

Then , the probability that Shania arrives on time for school for the next 5 days will be :_

[tex]=(\dfrac{1}{2})^5=\dfrac{1}{32}=0.03125\approx3.125\%\approx3.1\%[/tex]

Hence, the  probability that Shania arrives on time for school for the next 5 days.  = 3.1 %

put them in order from the smallest to the largest:
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198

 find the 2 middle numbers, in this case 174 & 175

the  median is the average of those 2 numbers:

 (174 + 175 )/2 = 174.5

 the median = 174.5

Answer:

Answer: The length of RS = 2.4 (nearest tenth)