The proportion used to find the average number of trout you would expect to live in the pond is 7 20 = x 400. Solve the proportion to find the expected number of trout in the population. The expected number of trout in the population is.

Answer:

23 total pancakes.

Step-by-step explanation:

Let's start by listing out all the prime numbers from 1-10:

1

2

3

5

7

So the greatest prime number less than 10 is 7. That's your answer for the number of plain pancakes.

Plus Teresa make 16 choc chip pancakes.

So 7 + 16 = 23 total pancakes.

Answer:

16-step explanation:32 divided by 16 is 2 2x8 is 16

Answer:

its 8 oranges because each orange is 50 cents

Step-by-step explanation:

16x2=32

8x2=16

My observation is: the leaves on my tomato plant are turning yellow.

By adding fertilizer, we are trying to manipulate the plants nutrient intake to see if it affects the yellowing of the leaves. The addition of fertilizer is the independent variable, while the color of the leaves is the dependent variable. We will collect quantitative data by measuring the shade of green in the leaves. To ensure that our results are accurate, we will standardize the amount of sunlight and water given to the plant.

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Answer:

407.3725

Step-by-step explanation:

Answer:

19 bottoms to wear

Step-by-step explanation:

1. 8+4+2+5

2.8+4+2+5= 19 bottoms

3. if i did something wrong or didnt catch something tell me

A car salesman earns a 3% commission on sales. If he sells a car for $27,990, how much commission will he earn?

($27,990)*(0.03) = $839.70

The Jones family will pay their insurance broker a commission of $1,750.00.

Commission is an amount of money paid to an employee or company as an incentive to sell more. A straight commission is a percentage of sales.

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Answer:

B. y=3/4x+6

Step-by-step explanation:

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Answer: B

Step-by-step explanation: the y-intercept is always the b in the equation y=mx+b. in this case it’s 6. Then you look at the rise and the run. its 3/4 because you go up 3 units, and to the right 4 units, to get to the next coordinate point.

Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

Third triangle is congruent to triangle PQR.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

For triangles, there are five primary congruency rules:

Side-Side-Side is an SSS criterion.

The side-angle-side SAS criterion.

Angle, Side, Angle is an ASA criterion.

Angle-Angle-Side is an AAS criterion.

Right Angle Hypotenuse Side (RHS) Criteria

As Height of the triangle PQ is similar to triangle third

Angle 90° ≈ Angle 90° of third triangle

Angle 67° ≈ Angle 67° of third degree

So, By ASA, both the triangles are congruent.

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Answer:

y= 4x^2

Step-by-step explanation:

Answer:310.45

Step-by-step explanation:

(a) Total Number of Subsets of A:
In set theory, any set is a subset of itself. Additionally, the empty set is a subset of every set. As a result, there are 2^12 subsets of A.

Number of Subsets of A = 2^12 = 4096

(b) Number of Subsets of A having One or More Elements:
To find the number of subsets of A having one or more elements, we must subtract the empty set from the total number of subsets of A.
∴ Number of Subsets of A having One or More Elements = (2^12) − 1 = 4095

(c) Number of Subsets of A having Exactly One Element:
We can use the formula given below to compute the number of subsets of A having exactly one element. Here, n represents the number of elements in the set.

Formula: nC1 = n
∴ Number of Subsets of A having Exactly One Element = 12C1 = 12

(d) Number of Subsets of A having Two or More Elements:
Using parts (b) and (c), we can obtain the number of subsets of A having two or more elements by subtracting the number of subsets of A having exactly one element from the number of subsets of A having one or more elements.
∴ Number of Subsets of A having Two or More Elements = (2^12) − 1 − 12 = 4083.

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The required number of two positive consecutive integers are 35 and 36.

Consecutive integers are the whole numbers that follow each other without gaps. consecutive  integers are even, and odd integers.

consecutive even integers that differ from previous integer by difference of 2 and each integer is divisible by 2.

consecutive odd integers that differ from previous integer by difference of 2 and each integer is an odd number.

let the first positive integer be x

Therefore the second positive integer be (x+1)

Given that the sum of two consecutive positive integer is 71:

x+(x+1)=71

open the bracket

x+x+1=71

Add the similar terms

2x+1=71

2x=71-1

2x=70

x=35

Finding the second integer Substituate the value of x=35 in (x+1):

x+1=35+1

x+1=36

The required number of two positive consecutive integers are 35 and 36.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

3+9=7 to the sqaure root of nine

Step-by-step explanation:

your welcome

Answer:

Wow thats long

Step-by-step explanation:

I thinks its b TBH

Answer:

21

Step-by-step explanation:

By geometric mean theorem:

\( {y}^{2} = 7 \times 3 \\ \\ {y}^{2} = 21 \\ \\ \huge \: y = \sqrt{ \boxed{21}} \)

The value of y in the given triangle  \(\sqrt{21}\)  is calculated using the Pythagorean theorem.

The Pythagorean Theorem states that the hypotenuse, or side opposite the right angle, of a right triangle, which is represented by the square, is equal to the sum of the squares on the legs of the triangle (or, in popular algebraic notation, a² + b² = c².

Given a triangle where the hypotenuse is 10 and base is z and the perpendicular is x.

From the Pythagorean theorem

x² + z² = 10²......(1)

Since there is a perpendicular drawn from the base angle to the hypotenuse whose length is y. Thus it will also make a right-angle triangle inside the first triangle. After applying the Pythagorean theorem on both triangles we will get the:

y² + 7² = x².......(2)

y² + 3³ = z².......(3)

Putting the values from Equations 2 and 3 into equation 1

y² + 7² + y² + 3³ = 10²

Simplifying the equation

2y² = 100 -49 - 9

2y² = 42

y² = 21

y = √21

Therefore the triangle's y value in the example is \(\sqrt{21}\) using the Pythagorean theorem to calculate.

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Answer:

A and D

Step-by-step explanation:

You can switch the orders of the two groups so that it is (2+c)(3) and you can switch the orders of 2 and c and neither would change the answer.

The ratio of corps members to brigadiers in the other sectors is 1:3.

Given,In the first 2400 sectors, the ratio of corps members to brigadiers is 3:1.

Let the number of corps members in the first 2400 sectors = 3x

Then, the number of brigadiers in the first 2400 sectors = x

Total number of corps members in the galaxy = Total number of brigadiers in the galaxy3x = 2400x = 800Total number of brigadiers = 800

Total number of corps members = 2400 corps members

Therefore, the number of sectors with one corps member = 2400 corps members

Number of sectors with one brigadier = 800 brigadiers

The total number of sectors in the galaxy = 2400 + 800 = 3200

In the remaining 400 sectors, the number of corps members is equal to the number of brigadiers. So, the ratio of corps members to brigadiers in the remaining sectors = 1:1/3 = 3:1

Summary: In the first 2400 sectors, the ratio of corps members to brigadiers is 3:1. The total number of sectors in the galaxy = 2400 + 800 = 3200. In the remaining 400 sectors, the number of corps members is equal to the number of brigadiers. Hence, the ratio of corps members to brigadiers in the other sectors is 1:3.

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Answer:

-2 is greater than Negative 2 and one half

Step-by-step explanation:

-2 is bigger than - 2 1/2

Because - 2 is closer to 0

Solving an equation we will see that the measure of angle a is 68°.

We want to find the measure of angle a. On the image we can see that we have 3 angles, and the sum of these 3 angles should be equal to 180°, then we can write the equation:

28° + 90° + a = 180°

(the 90° angle is the one with the square).

Solving that equation for a, we will get:

a = 180° - 90° - 28°

a = 90° - 28°

a = 62°

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As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.

HCF:

The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).

Given,

The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.

Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.

Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest  number that divides both x and y.

Here we have given that there are 30 instruments and 18 flag bearers.

Now, we need to find the prime factorization of 30,

That is,

30 = 2 x 3 x5

Similarly, the prime factorization of 18 is

18 = 2 x 3 x 3

Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be

=> 2 x 3 = 6.

Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.

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Answer:

As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.

HCF:

The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).

Given,

The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.

Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.

Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.

Here we have given that there are 30 instruments and 18 flag bearers.

Now, we need to find the prime factorization of 30,

That is,

30 = 2 x 3 x5

Similarly, the prime factorization of 18 is

18 = 2 x 3 x 3

Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be

=> 2 x 3 = 6.

Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.

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Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

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Answer:

4.95+0.10x=120

Step-by-step explanation:

Hope this helps

Answer:

There is no specific linear equation for this scenario because there is only one possible length for the pole.

Step-by-step explanation:

Answer:

The ramp must cover a horizontal distance of approximately 19.081 feet.

Step-by-step explanation:

Given the vertical distance (\(y\)), measured in feet, and the angle of the wheelchair ramp (\(\theta\)), measured in sexagesimal degrees. The horizontal distance needed for the ramp (\(x\)), measured in feet, is estimated by the following trigonometrical expression:

\(x = \frac{y}{\tan \theta}\) (1)

If we know that \(y = 1\,ft\) and \(\theta = 3^{\circ}\), then the horizontal distance covered by this ramp is:

\(x = \frac{1\,ft}{\tan 3^{\circ}}\)

\(x \approx 19.081\,ft\)

The ramp must cover a horizontal distance of approximately 19.081 feet.