What is the algebraic expression four times the sum of x and 8

Galaxy distance is 118 mpc.

Given:

Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.

According to hubble's law:

v = \(H_0\\\) * D

where

v = velocity = 8254

\(H_0\\\) = hubble constant = 70

D = v/\(H_0\\\)

= 8254/70

= 4127/35

= 117.91

≈ 118 mpc.

Therefore Galaxy distance is 118 mpc.

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The product of the ages 2 years from today is 924

Let the ages of the three cousins be x, y and z. If the product of their ages is 1716, hence;

xyz = 1716

If the product of their ages last year is 1320, then;

(x-1)(y-1)(z-1) = 1320

Two years ago, the product of their ages will be;

(x-2)(y-2)(z-2) = 1320- (1716-1320)

(x-2)(y-2)(z-2) = 1320-396

(x-2)(y-2)(z-2) =924

Hence the product of the ages 2 years from today is 924

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Equation: y = 3x

y = 3

Step-by-step explanation:

y ∝ x

y = Kx

9 = 3K

K = 9/3 = 3 Substitute y and x value to find K

y = 3x

Equation: y = 3x

x = 1

y = 3(1)

y = 3

Hope this helps!

Recall,

Speed = distance/ time

From the information given, John ran the 100-m dash with a time of 9.95 sec. This means that his speed is

100/9.95 = 10.05 m/s

If this speed is maintained, it means that the speed at which he ran 26 miles is

also 10.05 m/s

We would convert 26 miles to meters. Recall

1 mile = 1609.344 meters

26 miles = 26 x 1609.344 = 41842.944 meters

Time = distance/ speed

Thus, time taken to run 26 mile is

41842.944/10.05

= 4163.48 seconds

we would convert 4163.48 seconds to hours, minutes and seconds.

Recall, 1 hour = 3600 seconds. Thus

4163.48/3600 = 1.1565 hours.

We would convert 0.1565 hours to minutes. We have

1 hour = 60 minutes

0.16 hour = 0.1565 x 60 = 9.39 minutes

We would convert 0.39 minutes to seconds

1 minute = 60 seconds

0.6 minutes = 0.39x 60 = 23 seconds

Thus,

His time would be 1 hr 9 min, 23 sec

Answer: CAN SOMEONE PLZ ANSWER TFF QUSTION PLZ!!

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since the angle is on the circumference, therefore:

solve for x:

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

Answer:A

Step-by-step explanation:

For SSS you need all sides

Answer:

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Step-by-step explanation:

Answer:

18/35

Step-by-step explanation:

Answer:

ST=2

Step-by-step explanation:

ST+TU=SU

x+1+4x+3=4x+5

5x-4x=5-4

x=1

ST=x+1

ST=2

Answer: 80

Step-by-step explanation:

set the 4 numbers to be x,x+2,x+4,x+6

They add up to 332 so the equation would be

x+(x+2)+(x+4)+(x+6)=332

4x=320

x=80

the rest of the numbers are 82,84,86

smallest is 80

The function y = 45x + 6 can be used to determine the cost for a person to purchase x tickets to a concert. A person can purchase up to 8 tickets. What is an appropriate domain for the function?



all integers < 8

all positive integers < 8

all positive real numbers < 8​

the answer is all positive integers < 8

because the number of tickets can not be a negative number and must be a positive integer less than 8

Answer:

Approx. 4.47

Step-by-step explanation:

To calculate the standard deviation for the data, we need to follow these steps:

1. Calculate the mean (average) of the data:

mean = (13 + 17 + 9 + 21) / 4 = 15

2. Calculate the difference between each data point and the mean:

13 - 15 = -2

17 - 15 = 2

9 - 15 = -6

21 - 15 = 6

3. Square each difference:

(-2)^2 = 4

2^2 = 4

(-6)^2 = 36

6^2 = 36

4. Calculate the variance by taking the average of the squared differences:

variance = (4 + 4 + 36 + 36) / 4 = 20

5. Calculate the standard deviation by taking the square root of the variance:

standard deviation = sqrt(variance) = sqrt(20) ≈ 4.47

Therefore, the standard deviation for the data is approximately 4.47.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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Answer:

Triangles in Geometry

Step-by-step explanation:

Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

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Answer:

c is the answer

Step-by-step explanation:

I hope it may helps you

Answer:

42 slices per hour

Step-by-step explanation:

Answer: 42 slices per hour

Step-by-step explanation: 168 divided by 4= 42

Or 42x4= 168

Answer:

a=3 y=3

Step-by-step explanation:

18-3 = 15       15/3= 5

Answer:

It can be written in interval notation as [-5,5)

Answer:

121 is the perfect square between 100 and 144.

Answer:

What do you need help with?

Step-by-step explanation:

\(1 \frac{1}{7} \times 2\frac{4}{5} \\ = \frac{7+1}{7}\times \left(\frac{2\times 5+4}{5}\right) \\ = \frac{8}{7}\times \left(\frac{2\times 5+4}{5}\right) \\ = \frac{8}{7}\times \left(\frac{10+4}{5}\right) \\ = \frac{8}{7}\times \left(\frac{14}{5}\right) \\ = \frac{8\times 14}{7\times 5} \\ = \frac{112}{35} \\ = \boxed{ \frac{16}{5}=3.2}\)

Hope it helps!

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Answer:

Simplify:

1(1/7) × 2(4/5)

⇛8/7 × 13/5

⇛(8×14)/(7×5)

⇛112/35

Now, reduce the fraction by extracting and cancaling out with"7" then, we get

⇛16/5 Ans.

Answer:

B 27.73

Step-by-step explanation:

Use the Pythagorean theorem. It easiest to think of the distance between the two friends as a triangle in the rectangle. One side is 12ft and the other is 25ft.

12^2+25ft^2=769

The square root of 769 is 27.73