What are the first five terms of the arithmetic progression with the first term 8 and common difference 7 , then find the 17th?.

Answer:

Step-by-step explanation:

20x + 40y = 61 this is the equation for the first party

30x + 30y = 64.50 this is the equation for the second party.

Answer:

62%

Step-by-step explanation:

(The part/ the whole)× 100

(95/153) = 0.62

0.62×100 = 62%

Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

Answer:

[tex]\displaystyle m = \frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from given graph.

Point (0, -1)

Point (-3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

[tex]\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\[/tex]

[tex]C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]

to this

[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\[/tex]

which is the final answer.

Answer:

I believe its the nucleus

Step-by-step explanation:

Not entirely sure though, but its what I would pick

The new balance is a credit of $ 48.78.

Since Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%, and during the monthly billing cycle, Ben charged $ 238.75, made a payment of $ 300.00, and had a finance charge of $ 7.99, to find his new balance, the following calculations must be performed:

Therefore, the new balance is a credit of $ 48.78.

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Approximately 75% of the students in the class listen to rap music.

Percentage is a way of expressing a proportion or a fraction of a whole quantity in terms of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum," which means "per hundred."

To calculate the percentage of students who listen to rap music, you can use the following formula:

Percentage = (Number of students who listen to rap music / Total number of students) * 100

In this case:

Number of students who listen to rap music = 27

Total number of students = 36

Percentage = (27 / 36) * 100 ≈ 75%

So, approximately 75% of the students in the class listen to rap music.

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Answer:

3×g=21

..............

Step-by-step explanation:

to make the equation true the value of y must be.

hope it helps.

stay safe healthy and happy.

Answer:

y=-/+9

Step-by-step explanation:

y^2=81

find the square root

y=positive/negative 9

Answer:

D

Step-by-step explanation:

(point D)

Answer:

Point D

Step-by-step explanation:

5 units right on the x axis, 3 units down on the y-axis.

Answer:

no .,..false

Step-by-step explanation:

Answer:

25/4.1 or 6 and 2/5

Step-by-step explanation:

I can simplify both 100 and 16.4 by 4, so: 100/16.4=25/4.1

Because this is an improper fraction, I simplify it to: 6 and 2/5

Answer:

7823000

Step-by-step explanation:

Answer:

0 is the answer

7893 x 10 equal to 789300

We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:

We start by defining the two variables we will be using:

First, Pythagoras loses 13 lb, then his new weight is:

P' = P - 13lb

We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.

A) using the above information we can rewrite:

P - 13lb + 1.2*E = P - 1lb

This is the equation we need to solve.

b) So we want to solve this for E, then we move all the other terms to the right side:

1.2E = P - 1lb - P + 13lb

1.2E = 12lb

E = (12lb)/1.2 = 10lb

c) The solution of the above equation tells us that the weight of the dog is 10lb.

d) Let's define R as the weight of the third dog.

We know that:

R = 2*E = 2*10lb = 20lb

We also know that the combined weight of the 3 dogs is 63 lb, then we have:

E + R + P = 63lb

10lb + 20lb + P = 63lb

P = 63lb - 10lb -20lb = 33lb

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Answer:

The graph is attached below.

Step-by-step explanation:

First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.

This gives us x is greater than -1. So, we can graph:

The range is [tex]\boxed{-4 \leq y < 0}[/tex].

Answer:

[tex]x=\frac{ab+a+b-c}{a+b}[/tex]

Step-by-step explanation:

a(x−b)+bx+c=a+b

Step 1: Add ab to both sides.

−ab+ax+bx+c+ab=a+b+ab

ax+bx+c=ab+a+b

Step 2: Add -c to both sides.

ax+bx+c+−c=ab+a+b+−c

ax+bx=ab+a+b−c

Step 3: Factor out variable x.

x(a+b)=ab+a+b−c

Step 4: Divide both sides by a+b.

[tex]\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}[/tex]

[tex]x=\frac{ab+a+b-c}{a+b}[/tex]

Hope this helped! :)

Answer:

145

Step-by-step explanation:

yeah-ya...... right?

Answer:

x >= -2

-2 < x < 1

Answer:

10 tomatoes (bottom fruit) - 9 kiwis (top fruit) = 1 tomato

10-9=1

Step-by-step explanation:

Answer:

The answer is A, 20%.

Step-by-step explanation:

If you find 30 out of 150, it is 20%. A simple way to do it is add 30 up until you get 150. So in this case it is 5 times. Then you do 100% divided by 5 which is 20%. Hope this helps!

Answer:

0.1 cents per ounce

Step-by-step explanation:

You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.

[tex]\frac{88 cents}{9oz}=0.1 cents per ounce[/tex]

Answer:

H = 2S+4

H = M-2

M-2 = 2S+4

M-6 = 2S

M-6/2 = S

The equation that shows Silas's age, S, in terms of Mark's age is

S = (M - 6)/2.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Silas's age = S

Mark's age = M

Hailey's age = H

Now,

H = 2S + 4

H = M - 2

This means,

2S + 4 = M - 2

2S = M - 2 - 4

2S = M - 6

S = (M - 6)/2

Thus,

Silas's age is (M - 6)/2.

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Answer:

lines c and p

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

it is between 2/3 and 4/7

Answer:9+(60x8)-120= 369

             80(50-24)+20= 126

Step-by-step explanation:

Answer:

1.  n=10

2. n=35

3. n=6

4. n=0 ? not sure for this one. two variables in the proportion

5. n=36

Step-by-step explanation:

set each set of proportion equal to each other and do cross multiplication

hope this helps !

how are you ?

Answer:

Step-by-step explanation:

Please take a look of the attached photo for the solution.