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The four consecutive odd numbers are  - 11, - 9, - 7, - 5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).

Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.

∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.

5(2n + 4) = 8(2n + 8) + 22.

10n + 20 = 16n + 64 + 22.

10n - 16n = 86 - 20.

- 6n = 66.

n = - 11.

So, The numbers are - 11, - 9, - 7, - 5.

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Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = [tex]\frac{1}{0.6}[/tex]

Using the tangent on the building:

tan(θ) = [tex]\frac{h}{25}[/tex]

⇒ h = 25 · tan(θ)

       = 25 · [tex]\frac{1}{0.6}[/tex]

⇒ h = 41.66... ≈ 41.67

Answer:

C is my answer

You cam correct me if im wrong in the comments

Answer:

the answer is f(x) =x-0.15x

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

3.29

Step-by-step explanation:

4.32+6.86=11.18

11.18-7.89=3.29

Answer:

14.07

Step-by-step explanation:

First we need to add 5 percent to the 67 dollar cost. Which makes the price 70 dollars and 35 cents. 20 percent of 70.35 is 14.07 so the discount is 14.07

Hope this helps

Answer:

f(x) = 2x + 1.

Step-by-step explanation:

In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).

Let (x₁, y₁) = (0, 1)

     (x₂, y₂) = (1, 3)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 1)/(1 - 0)

m = 2/1 = 2

Therefore, the slope of the function is, m = 2.

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.

Therefore, the function rule that represents the given table of values is:

Step-by-step explanation:

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.

The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.

Favourable outcome = 11 = 1

Total outcomes = ( 2,3,5,7,11) = 5

Probability = ( 1 / 5 )

Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

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Answer: 500 i think

Step-by-step explanation:

Answer:  g(4n+5) = 16n^2 + 40n + 30

Step-by-step explanation:

g(n)=n^2-4

h(n)=4n+5

find g°h

g°h is g(4n+5) = (4n+5)^2 + 5

g(4n+5) = (16n^2 + 40n + 25) + 5

g(4n+5) = 16n^2 + 40n + 30

Answer:

Ms. Neville graded 80% of the papers and the student teacher graded 20% of them.

Step-by-step explanation:

Given a total of 75 papers, and Ms. Neville graded 60 of them, 15 remain for the student teacher. 75 - 60 = 15

Ms. Neville graded 60/75 = 0.8 = 80% of papers.

The student teacher graded 15/75 = 0.2 = 20% of papers.

Sanity check: 80% + 20% = 100%

Answer:

B.|-3x| > 15

Step-by-step explanation:

Rewriting the equation, it is found that the resistance [tex]R_2[/tex] is given by:

[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]

The equation given for [tex]R_T[/tex] as function of [tex]R_1[/tex] and [tex]R_2[/tex] is:

[tex]R_T = \frac{R_1R_2}{R_1+R_2}[/tex]

Applying cross multiplication:

[tex]R_TR_1 + R_TR_2 = R_1R_2[/tex]

[tex]R_1R_2 - R_TR_2 = R_TR_1[/tex]

[tex]R_2(R_1 - R_T) = R_TR_1[/tex]

[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]

A similar problem is given at https://brainly.com/question/24272167

Answer:

the answer to your question is 9cm² for the Area

the answer is 9 cm square

Answer:

-5b <= -34

Step-by-step explanation:

The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.

Answer:

if it's bot raining, then it's sunny

Balanced reaction:

[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]

The reaction type is double replacement.

Answer:

1 # 2 = 4

Step-by-step explanation:

1 # 2 = 2*1 + 2 = 2 + 2 = 4

Answer:

For example, a borrower takes a $100,000 loan with a 6% annual interest rate for three years.

Step-by-step explanation:

Have a GREAT DAY !

Answer:

b)

x=65+32 [ being ext. angle of triangle is equal to the sum of two opposite interior angle]

therefore x=97°

Answer:

The value of x so f (x) = 7 is 5.

Step-by-step explanation:

Answer:

294

Step-by-step explanation:

Scale factor is 3.5 (If you go from the smaller image to the bigger image).

7 x 3.5 = 24.5 feet

since the question is asking you for the answer in inches you have to multiply 24.5 by 12 which gives you 294

Answer:

Its the bottom one x>5

Step-by-step explanation:

Answer:

I D K GUESS ITS 1 2 4 I GUESS THINKING

Step-by-step explanation:

Answer:

No factorizable, está en su forma más simple

Step-by-step explanation:

Find the common factor by grouping the terms of the following exercises

3m[tex]2^{2}[/tex] --> Not factorable, is in simplest form.

Hallar el factor comun por agrupacion de terminos de los siguientes ejercicios

3m[tex]2^{2}[/tex] --> No factorizable, está en su forma más simple.

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Explicación: Solo puede factorizar, o simplificar, una ecuación o solo variables, si la variable que tiene un exponente tiene la misma base que otra variable, como x ^ 2 y x ^ 3, puede simplificarla ax ^ 5. Ahora, en este problema tenemos un 3, y 2 ^ 2, en el 2 ^ 2, 2 es la base y el otro número es 3, que definitivamente no es la misma base, por lo que no puede factorizarlo más, y deje la variable a lo largo.

Answer:

1. Less Than

2. Greater Than

Step-by-step explanation:

You know that 1/2 is equal to 4.5/9

So, 2/9 would be less than 1/2.

You know that 1/2 is equal to 5/10

So, 9/10 is greater than 1/2.

Compare each fraction by setting each fraction to the same denominator.