A man with the height of 5 ft casts a shadow of 2ft. What will be the height of a tree that casts a shadow of 40 ft at the same time.

1) The sequence S is: 9, 12, 15, 18.

2) The types of sequences are:

a) Sequence a is increasing.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.

1) The sequence S is defined as sn = 3n + 3 * 2. To find the values of S, we can substitute different values of n into the equation:

S1 = 3(1) + 3 * 2 = 3 + 6 = 9

S2 = 3(2) + 3 * 2 = 6 + 6 = 12

S3 = 3(3) + 3 * 2 = 9 + 6 = 15

S4 = 3(4) + 3 * 2 = 12 + 6 = 18

So, the sequence S is: 9, 12, 15, 18.

2) Let's determine the type of the sequences:

a) Sequence a = 2/1, 131.

- This sequence is increasing since the terms are getting larger.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20.

- This sequence is non-decreasing since the terms are either increasing or staying the same (repeated).

To summarize:

a) Sequence a is increasing.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.

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Answer:

x = 4

Step-by-step explanation:

10 - 4x + 6 - 2x = -2x

10 - 6x + 6 = -2x

16 - 6x = -2x

16 - 4x = 0

-4x = -16

x = 4

Answer:

x = 4

Step-by-step explanation:

Add like terms

-6x + 16 = -2x

Bring like terms to the opposite side

16 = 4x

Divide both sides by 4

x = 4

Answer:

3 more balloons she has popped in the second game.

Step-by-step explanation:

Given that,

Total no. of balloons = 18

Amy popped 2/3 the first game and 5/6 the second game.

Balloons popped in first game = \(\dfrac{2}{3}\times 18=12\ \text{balloons}\)

Balloons popped in second game = \(\dfrac{5}{6}\times 18=15\ \text{balloons}\)

Difference of balloons popped in first and second game,

= 15-12

= 3 balloons

Hence, 3 more balloons she has popped in the second game.

The remaining salary with Saleem’s is Rs. 2200.

A number system is a way of representing numbers. It is a method of representing numbers in a set of numbers consistently by using digits or other symbols. It gives each number a unique representation and represents the mathematical and algebraic structure of the numbers.

Given that salary is Rs. 12000 and he gave 1/12th of his salary as alms, half of the remaining for house expenditures and 2/5th of the remaining as debt that was due upon him.

We have to determine the remaining salary with him?

Total Salary= 12000

1/12 of his salary given as alms

= (1/12) x 12000

12000/12

= 1000

Remaining amount after giving as alms is 11000

He gave half of the remaining for house expenditure

= (1/2) x 11000

= 11000/2

=5500

Remaining amount after house expenditure is 5500

From the remaining amount he gave 2/5 as debt

= (2/5) x 5500

11000/5

= 2200

Therefore the remaining salary with Saleem’s is Rs. 2200.

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The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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To validate the claim that the new diet lowers weight by more than 10 pounds, health officials should randomly assign consumers to a control group and an experimental group.

The control group follows their regular diet, while the experimental group follows the new diet. Weight losses for both groups are recorded over a specific time period. Statistical tests are conducted to compare the average weight loss in the experimental group to 10 pounds. If the test supports the claim, it can be concluded that the diet is effective. However, other factors like side effects and long-term sustainability should also be considered.

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Answer and Step-by-step explanation:

Answer:

x = 1.

4+1×6=30

Step-by-step explanation:

thats about right

Answer:

6(x+4)=30

6x+24=30

6x=30-24

6x=6

x=1

when 5 1 b 2 4 6 2a-3 = 6, the value of 51 b 1 2 3 is 511213.

To calculate the expression 2a - 3 when 5 1 b 2 4 6 2a-3 = 6, we need to find the value of 'a' first.

From the given equation 5 1 b 2 4 6 2a-3 = 6, we can see that 'a' is represented by the digit '1' in the sequence. Therefore, 'a' is equal to 1.

Now we can substitute the value of 'a' into the expression 2a - 3:

2(1) - 3 = 2 - 3 = -1

So, when 5 1 b 2 4 6 2a-3 = 6, the value of 2a - 3 is -1.

Now, let's calculate 51 b 1 2 3 using the same logic:

Since 'a' is equal to 1, we can replace 'a' with 1 in the expression 51 b 1 2 3:

51 b 1 2 3 = 511213

So, when 5 1 b 2 4 6 2a-3 = 6, the value of 51 b 1 2 3 is 511213.

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^congruence concept^

ok. i already answer it

Answer: 24 bottles

Step-by-step explanation: 1 gallon is 8 pints so 8*3 is 24 so 24 bottles

Answer:

0 it went minus 2 minus 3 minus and so forth

Answer:

Step-by-step explanation:

perimeter of larger hexagon=2.5 perimeter of smaller hexagon

If Ethan watches fewer than 6 movies per month, Plan A would be more expensive. If he watches more than 6 movies per month, Plan B would be more expensive.

For Plan A, the monthly cost is composed of a fixed fee of $28 plus a variable fee of $2.50 per movie watched. So, if Ethan watches x movies per month, the monthly cost for Plan A can be represented by the equation:

A = 28 + 2.5x

Here, A represents the monthly cost of Plan A, and x represents the number of movies Ethan watches per month.

For Plan B, the monthly cost is also composed of a fixed fee of $37, but the variable fee per movie watched is only $1. So, if Ethan watches x movies per month, the monthly cost for Plan B can be represented by the equation:

B = 37 + 1x

Again, B represents the monthly cost of Plan B, and x represents the number of movies Ethan watches per month.

To find the number of monthly movies watched, x, that would make the two plans have an equal monthly cost, we need to solve the equation:

A = B

So, we can substitute the equations for A and B to get:

28 + 2.5x = 37 + 1x

Now we can solve for x:

2.5x - 1x = 37 - 28

1.5x = 9

x = 6

So, if Ethan watches 6 movies per month, the monthly cost of Plan A and Plan B would be equal, at $41 per month.

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Answer:

7% of cars traveled east.

Therefore , the solution of the given problem of inequality comes out to be the inequality x -5 is option B.

Regardless of the equal symbol, a connection or group of numbers variables can be an inequality in mathematics. Equilibrium is always followed by equity. Inequality happens when ideals are still incompatible. Differences exist between inequality expression and fairness. We chose to utilize the most prevalent symbol because elements aren't always similar or comparable (). No mater how few or many variations there are, they can all be used to evaluate values.

Here,

Option B) B is the proper response.

We must isolate x on one side of the inequality in order to answer the inequality x + 2 -3. By taking 2 away from both edges, we arrive at:

=> x < -5

According to this inequality, x is any integer that is less than -5. Since x cannot equal -5,

we must create an open circle at this point on the number line and shade to the left of it to represent all the different values of x that could be used.

Looking at the available choices, we can see that the only graph that accurately depicts the inequality x -5 is option B) B.

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Answer:

no it is not a rational number because

Step-by-step explanation:

183 is a fraction, which can be simplified as 618 13 =61=6 . Hence, It belongs to Natural numbers , which are {1,2,3,4,5,6...............}

Did you understand?

Answer:

9

Step-by-step explanation:

please follow rate thank

Answer:

the formula for finding the perimeter of a rectangle is P=2L+2W

an example of how to find the perimeter is

Explanation:

For a rectangle, its perimeter is the sum of all for sides.

The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.

54=20+20+S+S

Simplify

54=40+2S

Solve for S

14=2S

S=7

Step-by-step explanation:

Answer:?????

Step-by-step explanation:

pls explain it better lol i dont understand

Answer: that does not make any seans

Step-by-step explanation:

Answer:

Divide each term in

a(b+c2) = x by b+c2

and simplify. a=2x2b+c

Step-by-step explanation:

Answer:

a=110°.... honestly it's a guess.

Step-by-step explanation:

360 to go around the box.

360-70°=290-70°=220

220÷2=110

En el circo, para alimentar 3 tigres se necesitan 40 kg de carne por día, entonces para alimentar 6, 9 y 12 tigres se necesitan 80, 120 y 160 kg de carne por día, respectivamente.                      

Para calcular cuántos kg de carne se necesitan para alimentar 6, 9 y 12 tigres, podemos realizar la siguiente conversión (aplicación de regla de 3):

\( x = \frac{40 kg}{3 \: tigres}*6\: tigres = 80 kg \)

\( x = \frac{40 kg}{3 \: tigres}*9\: tigres = 120 kg \)

\( x = \frac{40 kg}{3 \: tigres}*12\: tigres = 160 kg \)

Por lo tanto, se necesitan 80, 120 y 160 kg de carne para alimentar 6, 9 y 12 tigres, respectivamente.        

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Espero que te sea de utilidad!