Saturn is 8.867 × 10^8 miles away from the Sun. Uranus is 1.787 × 10^9 miles away from the Sun. Approximately how many times farther is Uranus from the Sun than Saturn is?

The equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is r  = 2(210) + 0.10m.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Jodi rents a car for 2 weeks.

It costs $210 for each week plus $0.10 per mile.

Let, the number of miles traveled, m, and the total rental cost, r.

The rent of the car for 2 weeks is;

[tex]= 2 \times 210[/tex]

The equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is;

r = the rent of the car for 2 weeks + the total rental cost

r  = 2(210) + 0.10m

Hence, the equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is r  = 2(210) + 0.10m.

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Ben's weekly unemployment compensation is $956.15

A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.

Now it is given that,

Weekly unemployment compensation = 55%

Ben earned a total in July, August, and September = $22,400

And in October, November, and December = $22,800

Therefore, his total compensation for the six month period = $22,400 + $22,800 = $45,200

his average weekly salary = $45,200 / 26 weeks = $1,738.46

Ben's unemployment compensation = $1,738.46 x 55% = $956.15

Hence,Ben's weekly unemployment compensation is $956.15

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To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%.

Therefore, Ben's weekly unemployment compensation is $4,106.67.

To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%. First, let's calculate the average for each quarter:

Next, let's determine the two highest averages:

Now, we can calculate the weekly unemployment compensation:

The highest average * 55% = $7,600 * 0.55 = $4,180

The second highest average * 55% = $7,466.67 * 0.55 = $4,106.67

Therefore, Ben's weekly unemployment compensation is $4,106.67.

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Answer:

One less than 25, 24, times five is 120, and that is 4 times as much as 30 so you already know it is wrong.

Step-by-step explanation:

Final answer:

The original price comes out to $49.99 when rounded to the nearest cent.

Explanation:

To determine the original price of an item that has been marked down by 20%, we need to understand that the current price represents 80% of the original price (100% - 20% = 80%).

Therefore, the sale price is 80% of the original price. If the shoes were on sale for $39.99, we can set up an equation where the original price is represented by x, and the sale price is 80% of x, or 0.80x.

The equation would be 0.80x = $39.99.

To find the original price, we divide both sides by 0.80:

x = $39.99 / 0.80

x = $49.9875

Therefore, the original price of the shoes was $49.99 when rounded to the nearest cent.

Answer:

Option B

Step-by-step explanation:

Answer:

Consider the system of equations, x – 2y = 8 and –2x + 4y = –16.

What is x – 2y = 8 in slope-intercept form?

y=(1/2)x - 4

What is –2x + 4y = –16 in slope-intercept form?

y=(1/2)x - 4

How many solutions will there be?

infinitely many solutions

What will the graph of the system look like?

the lines are exactly the same

(I answered using the other answer and it was incorrect. It autocorrected it to these answers. This answer is correct.)

Slope intercept form of the equation

[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]

Slope intercept form of the equation

[tex]-2x+4y=-16 \\y=\frac{1}{2}x-4[/tex]

Solution is infinite

Graph of the system are the lines that lies one above the other.

Given :

System of equations

[tex]x - 2y = 8 \\ -2x+4y=-16[/tex]

slope intercept form of the equation is y=mx+b

Lets solve each equation for y

[tex]x - 2y = 8 \\-2y=-x+8\\y=\frac{1}{2}x-4[/tex]

Slope intercept form of the equation

[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]

Lets solve the second equation for y

Slope intercept form of the equation

[tex]-2x+4y=-16\\4y=2x-16\\y=\frac{1}{2}x-4[/tex]

The slope intercept form of both the equations are same

So there are infinite solutions for the given system of equations.

When the solution is infinite then the graph of equation are the lines that lies one above the other .

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Answer:

10/9

Step-by-step explanation:

y increases by 10 while x increases by 9

The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints and dividing it by the difference in the x-values.

The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints of the interval and dividing it by the difference in the x-values.

In this case, we are given the interval 0 ≤ x ≤ 9. We need to find the difference in the function values of g at x = 0 and x = 9, and then divide it by the difference in the x-values, which is 9 - 0 = 9.

So, the average rate of change of g over the interval 0 ≤ x ≤ 9 is (g(9) - g(0)) / (9 - 0).

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Tropical rainy is forests close to the water. Dry is outback and steppes. Temperate marine is savannas. Temperate continental is forests far from water. Polar is tundra and ice caps. Finally, highlands is mountains.

Answer:

c prt i suppose

Step-by-step explanation:

Answer:

A Lumber company

Step-by-step explanation:

Answer:

11 units

Step-by-step explanation:

HPO and DPI are similar triangles

HP/DP = PO/PI

HP/9 = 6/27

HP = 9×6/27

HP = 2

HD = HP + PD

HD = 2 + 9 = 11

Answer:

11 units

Step-by-step explanation:

Answer:

4, -8

Step-by-step explanation:

Answer:

A = 12 in^2

Step-by-step explanation:

The formula for area is

A = l*w

A = 2in * 6 in

A = 12 in^2

Answer:

41 Degrees

Step-by-step explanation:

So basically you add the 72 and the other 72 to get 148.You obviously know the angle in between 72 and 72 is a right angle or 90 degrees.Then you add 148 and 90 to get 238.Then 360 - 238 is 122.Now you know all the angles.So we have to ask ourselves what is 148/360 simplified.It is 37/90.Now that we know that and we know that the radius is 10.We have to find the regular area which is 10 times 10 which is 100.Finally we need to figure out what part of 100 is 37/90 and it is 41.111111111111.Rounded it is 41.

Answer:

knife = £5.52

Step-by-step explanation:

The 2 equations are

k = 3s → (1)

9s + 12k = 82.8 → (2)

Substitute k = 3s into (2)

9s + 12(3s) = 82.8

9s + 36s = 82.8

45s = 82.8 ( divide both sides by 45 )

s = 1.84

Substitute s = 1.84 into (1)

k = 3 × 1.84 = 5.52

The cost of 1 knife is £5.52

Answer:

first one

Step-by-step explanation:

same x value can't have more than one y value

The distance between the two points (4, 1) and (10,9) is 10 units

Assume the points are A and B

The coordinates of the points are given as:

The distance (d) between two points A and B is calculated as:

[tex]d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}[/tex]

So, the above equation becomes

[tex]d = \sqrt{(4-10)^2 + (1 -9)^2}[/tex]

[tex]d = \sqrt{100}[/tex]

Take the positive square root of 100

[tex]d = 10[/tex]

Hence, the distance is 10

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Answer:

15

Step-by-step explanation:

There are 15/5 in 3 cakes, since 1 cake has 5/5, so 3 is 15/5. if everybody gets one fifth, 15 people get the cake

Answer:

A total of 15 people will eat cake

Please find the attached file.

We have been given am image of point B on coordinate plane. We are asked to plot the mage of point B under a dilation about point P  with a scale factor of [tex]\frac{1}{2}[/tex].

To solve our given problem, we need to find vertical distance and horizontal distance between point B and point P.  

We can see that vertical distance is 4 units as shown in the attachment and horizontal distance is 6 units.

Since the scale of dilation is [tex]\frac{1}{2}[/tex], so the vertical distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 4 that is [tex]\frac{1}{2}(4)=2[/tex].

The horizontal distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 6 that is [tex]\frac{1}{2}(6)=3[/tex].

Now we will count 3 units to left of point P and 2 units upwards. That will be the position of point B'.

The below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.

To plot the image of point B under a dilation about point P with a scale factor of 1/2, follow these steps:

The point where this line intersects the vertical line through point C will be the image of point B under the dilation with a scale factor of 1/2.

Thus, the image of point B will be half as far away from point P as point B.

Hence, the below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.

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Answer:

14 150ml cans will hold more juice.

Step-by-step explanation:

14*150ml = 2100ml

2100ml = 2.1 liters

Answer:

c

Step-by-step explanation:

Let 1/x  = a &

1/y = b

So, now the equation:

2a +3b  = 13   --------------------(i)

5a - 4b  = -2  --------------------(ii)

To eliminate a, Multiply equation (i) by 5 and multiply (ii) by (-2)

(i)*5             10a  + 15b = 65

(ii)*(-2)        - 10a + 8b  = 4      ( Now add, a will be eliminated}

                            23b = 69

b= 69/23

b = 3

Plug in the value of b in equation (i)

2a + 3*3 = 13

2a + 9 = 13

2a  = 13 - 9

2a = 4

a= 4/2

a = 2  

Now a = 1/x   ------>x = 1/a = 1/2

b = 1/y ----------->y = 1/b = 1/3

[tex]x+y=\frac{1}{2}+\frac{1}{3}\\\\=\frac{1*3}{2*3}+\frac{1*2}{3*2}\\\\=\frac{3}{6}+\frac{2}{6}\\\\=\frac{5}{6}[/tex]

Answer:

Step-by-step explanation:

 3x -  y  = -1

-3x + 3y = 27  

       2 y = 26

When adding, 3x + (-3x) = 0

3y - y = 2y

27- 1 = 26

Answer:

2y = 26

Step-by-step explanation:

Just did it.

Answer: C because if it says less than that means after

Final answer:

The value 8 3/4 (option C) is closest to 8 11/20 because it has the smallest difference when compared to the other options after converting 11/20 to its decimal form.

Explanation:

The value closest to 8 11/20 is 8 3/4 (option C). To determine which value is closest, convert 11/20 to its decimal equivalent by dividing 11 by 20, which is 0.55. When added to 8, this gives us 8.55. Now let's compare the options: Option A (8) is 0.55 away, option B (8 1/2) equals 8.5 and is 0.05 away, option C (8 3/4) equals 8.75 and is 0.20 away, and option D (9) is 0.45 away. Thus, 8 3/4 is the closest value to 8 11/20 since it has the smallest difference.

Answer:

No, it is not reasonable

Step-by-step explanation:

Writing 9/10 and 4/8 as fractions out of 100, and then as decimals

9/10 = 90/100 = 0.9

4/8 = 1/2 = 50/100 = 0.5

0.9 - 0.5 = 0.4

Not 0, like Kevin estimated

Answer: 4/8 = 0.5 and 9/10= 0.9. If you subtract 0.9 by 0.5, you end up with 0.4. I would say not reasonable.

Step-by-step explanation:

How are you supposed to find that out if you don't have a base price for at least 1 pound of gummy bears? Can you provide more info?

Answer:

The answer is 5

Step-by-step explanation:

if you see, the start of table starts at 35 and then goes goes to 7

Answer:

Step-by-step explanation:

It’s 16

The quadratic function f whose zeros are 6 and 5 is represented by the formula f(x) = (x - 6)(x - 5). This formula utilizes the fact that the zeros of a quadratic function, also known as the roots, are the x-values for which the function equals zero.

To write a quadratic function f whose zeros are 6 and 5, we first identify the zeros. These zeros are the roots of the equation, meaning the points at which the curve of the function hits the x-axis.

A quadratic function is in the form f(x) = a(x - p)(x - q), where p and q are the zeros. Therefore, if the zeros are 6 and 5, our function becomes f(x) = a(x - 6)(x - 5), with 'a' being any real number. If we take 'a' as 1 (for simplicity), the function becomes f(x) = (x - 6)(x - 5).

So the quadratic function with zeros 6 and 5 is f(x) = (x - 6)(x - 5).

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Answer:

20 out of the 50 participants are assigned to consume Drink A.

However, it is asking us the probability that a participant did NOT consume Drink A, so there are 30 participants that consumed another drink.

The probability is 30/50, or 60%, that a participant did not sample Drink A.

Answer:

3/5

Step-by-step explanation:

of the 50 participants 20 of them will get drink A. This probability is 20/50 which simplified is 2/5. The other 30 participants will get drinks B, C, or D. As a fraction this is equal to 30/50 or 3/5.  Therefore the probability of a participant not sampling drink A is 3/5.

Answer:

100x

Step-by-step explanation:

4 in 4560 = 4000

4 in 241 = 40

4000 div by 40 = 100

Answer:

100

Step-by-step explanation:

i thihk