i’m not sure on how to solve this equation. 10(2y+2)-y=2(8y-8)

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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how to find slope

its not that clear for me to solve but i can tell you how to solve and you fill the numbers in... sry

(x1,y1) (x2,y2) - find two different points

y2-y1/x2-x2=slope of the line

or

to find it you can do the rise divided by the run

im sry if this doesnt help :(

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

First, you find places where the graphed line crosses grid intersection points. One obvious choice is the point (0, 0), since the line goes through the origin. (Here, we wanted to avoid interference with our notations by the axis labels, so we chose points away from the origin.)

Then, you draw a right triangle with the two points you found as ends of the hypotenuse. Use grid lines for the legs of the triangle. For purposes of "rise" and "run", it is convenient to draw the triangle to the right of the graphed line.

The "rise" is the vertical distance between the grid crossings. In this graph, that is -2 units. The sign is negative because the right-most point is below the left-most point.

The "run" is the horizontal distance between grid crossings. In this graph, that is 3 units. If you have drawn the triangle to the right of the graphed line, that will be +3 units.

So, the slope is the ratio of "rise" to "run":

  m = rise/run = slope = -2/3

Answer:

Option C) 16(0.5x - 0.75y + 2)

Step-by-step explanation:

16(0.5x - 0.75y + 2) = 16*0.5x - 0.75y*16 + 2 *16

                                = 8.0x - 12.0y + 32

                                =  8x - 12y + 32

Answer:

7+2x=3x

Step-by-step explanation:

7 more than twice a number is 3 times the same number.

solution,

Let the number be x, the

\(7 + 2 x = 3x \\ 7 = 3x - 2x \\ 7 = x\)

Step-by-step explanation:

let the number be x ,

so,

twice of number = 2x

3 times the number = 3x

and 7 more than 2x = 3x

so, the equation is,

7 + 2x = 3x

x = 7

verifying,

7 + 2(7) = 3(7)

→ 7 + 14 = 21

→ 21 = 21

hope this answer helps you dear!

The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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The temperature at 6 P.M. would be - 29 °F.

Given is that Casho spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.4°F. Between 9 am and noon, the temperature rose 9.5°F. Between noon and 3 pm, the temperature went down 10°F. Between 3 pm and 6 pm, the temperature went down 18.6°F.

Temperature at 9 A.M. = - 10.4°F.

At noon, the temperature would be = - 10.4°F + 10°F = - 0.4°F

At 3 P.M., the temperature would be = - 0.4°F - 10°F = - 10.4°F

At 6 P.M., the temperature would be = - 10.4°F - 18.6°F = - 29 °F

Therefore, the temperature at 6 P.M. would be - 29 °F.

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The expression 2^n - 5^n is indeed a solution to the recurrence relation an = 7an-1 - 10an-2. To use it as the closed formula for the sequence, the initial conditions need to be specified. The initial values for a0 and a1 would need to be determined based on the sequence being generated. Once the initial conditions are established, the expression 2^n - 5^n can be used to find the nth term of the sequence directly without having to rely on the recurrence relation.

To demonstrate that 2^n - 5^n satisfies the given recurrence relation, we need to substitute it into the relation and verify that it holds true for all n.

Given recurrence relation: an = 7an-1 - 10an-2

Substituting 2^n - 5^n into the recurrence relation:

7(2^(n-1) - 5^(n-1)) - 10(2^(n-2) - 5^(n-2))

Expanding and simplifying the expression:

7 * 2^(n-1) - 7 * 5^(n-1) - 10 * 2^(n-2) + 10 * 5^(n-2)

Rearranging the terms:

2 * 7 * 2^(n-2) - 2 * 7 * 5^(n-2) - 10 * 2^(n-2) + 10 * 5^(n-2)

Combining like terms:

2(7 * 2^(n-2) - 7 * 5^(n-2) - 5 * 2^(n-2) + 5 * 5^(n-2))

Factoring out 2 from the expression:

2(7 * 2^(n-2) - 5 * 2^(n-2) - 7 * 5^(n-2) + 5 * 5^(n-2))

Simplifying further:

2(2^(n-2)(7 - 5) - 5^(n-2)(7 - 5))

The expression simplifies to:

2(2^(n-2)(2) - 5^(n-2)(2))

2 * 2^(n-1) - 2 * 5^(n-1)

Which is equal to 2^n - 5^n.

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Answer:

It is congruent.

Step-by-step explanation:

By the congruent complements theorem, if <1 and <2 are complementary and <2 and <3 are complementary, then <1, <2 and <3 are complementary. Meaning <1 and <3 are complementary.

According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.

The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.

To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.

Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)

So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.

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(a) The function f(n) = n + 1 is injective, surjective, and bijective.

(b) The function q(ϕ) is not injective but is surjective.

(a) The function f(n) = n + 1, mapping from integers to integers:

Injective: Yes, the function is injective. For any two distinct integers n1 and n2, if f(n1) = f(n2), then n1 + 1 = n2 + 1, which implies n1 = n2. Therefore, no two different integers map to the same value.

- Surjective: Yes, the function is surjective. For any integer m, we can find an integer n such that f(n) = m by subtracting 1 from m. Therefore, every integer in the codomain is mapped to by at least one integer in the domain.

- Bijective: Yes, the function is bijective. It is both injective and surjective, meaning every element in the domain maps to a unique element in the codomain, and every element in the codomain is mapped to by exactly one element in the domain.

(b) The function q(ϕ) with codomain N≥0:

- Injective: No, the function is not injective. Different formulas of predicate logic can have the same number of symbols, resulting in multiple formulas being mapped to the same value. Therefore, there exist distinct inputs that map to the same output.

- Surjective: Yes, the function is surjective. Every non-negative integer can be represented as the number of symbols in some formula of predicate logic. Therefore, every element in the codomain is mapped to by at least one element in the domain.

- Bijective: No, the function is not bijective. It is not injective, as there exist distinct inputs that map to the same output. However, it is surjective as every element in the codomain is mapped to.

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Answer:

1. zeros are -2 and 1

2. zeros are -1 and 3

3. zeros are -3 and 1

4. zeros are -1

5. no zeros

6. no zeros

Step-by-step explanation:

Zeros are points on the graph that are x-intercepts; in the graph we can see that they cross -2 and 1 on the 1st equation, -1 and 3 on the 2nd equation, -3 and 1 in the 3rd equation, and -1 in the 4th equation. Since it intersects no x-intercepts in the 5th and 6th equation, it has no zeros.  

Answer: 4f^2 -4f+1

Step-by-step explanation:

2f-1)^2

This is equal to

(2f-1) * (2f-1)

FOIL

first: 2f*2f = 4f^2

outer: 2f*-1 = -2f

inner: -1*2f = -2f

Last = -1*-1 = 1

Add them together: = 4f^2 -2f-2f+1

Combine like terms 4f^2 -4f+1

Answer:

(2f-1)(2f-1)

2f^2-2f-2f+1

2f^2-4f+1

Therefore, the approximate sum of the series ∑ ((-1)^n / 3^n * n!) is -0.6992 correct to four decimal places.

To approximate the sum of the series ∑ ((-1)^n / 3^n * n!), we can use a numerical method such as the alternating series test or a calculator/software that can perform series summation. Let's use a calculator to find the approximate sum.

Using a calculator, the sum of the series is approximately -0.6992.

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a monster can eat 48 cookies in 12 minutes me thinks

Answer: A monster can eat 48 cookies in 12 minutes

Step-by-step explanation:

Answer:

1-34 minutes

Step-by-step explanation:

cuz never says full 7 laps which is 35 minutes total. so anything less than 35 minutes

i get the number 35 because each lap is 5 minutes. if she does 7 laps that would be 7x5=35. but she doesnt do 7 so every number less than 35

Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

Answer:

132 chocolates

Step-by-step explanation:

We know that after Ramesh arranges his chocolates in rows, the number of rows multiplied by the number of chocolates in each row will give us the total number of chocolates, 17424.

Let the number of rows be x.

From the question, the number of chocolates in each row will also be x.

\(=> x * x = 17424\\\\x^2 = 17424\\\\=> \sqrt{x^2} = \sqrt{17424} \\\\x = 132\)

Therefore, he placed 132 chocolates in each row.

Answer:

least common multiple is 180

Answer:

-1048512

Step-by-step explanation:

Parentheses

2² = 4

10 - 6 = 4

Current expression: (4)³ - 4⁴ · 4⁻⁶

Exponents:

4³ = 64

4⁴ = 256

4⁻⁶ = 4096

Current expression: 64 - 256 · 4096

Multiplication:

256 · 4096 = 1048576

Current expression: 64 - 1048576

Subtraction:

64 - 1048576 = -1048512

i think that this is right, hope it helps!

Answer:

Hi Hi really sorry may i get some points i need them to give it to other people cuz some people want points, ik its not the answer u wanted sorry but hope u get the answer soon!

Step-by-step explanation:

Let's recall what are the symbols

Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.

Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.

For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.

Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.

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Answer: 2/3=4/6

only 1 4/6 can fit into 5/6

Step-by-step explanation:

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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Answer:

hope this helps you out :)

Answer:

\(3 - ( - 1) \div 2 - ( - 4) \\ 3 + 1 \div 2 + 4 \\ 4 \div 6 \\ = \frac{2}{3} \)

Answer:

there are 0 significant digits

Step-by-step explanation:

0.0005 has 1 significant digit which is 5

25.725 has 5 significant digits

Answer:

150 square feet.

Step-by-step explanation:

75 percent of 600 is 450 and 450 + 150 = 600.