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lesya692 [45]
2 years ago
7

If 8 times a number is added to twice the​ number, the result is 60. the solution is

Mathematics
2 answers:
kogti [31]2 years ago
7 0

Answer:

<u>The number is 6</u>

Step-by-step explanation:

<u>Given :-</u>

8N + 2N = 60

<u>To Find :-</u>

N

<u>Solving :-</u>

8N + 2N = 60

10N = 60

<u>N = 6</u>

<u />

<u>Solution :-</u>

<u>The number is 6</u>

Andrei [34K]2 years ago
3 0

Answer:

(8 * x) + 2x = 60

8x + 2x = 60

10x = 60

/10   /10

x = 6

8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.

We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).

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ella [17]
<span>(3x-4)+(x+3)^2
= 3x - 4 + x^2 + 6x + 9 .........(expand using (a+b)^2 = a^2 + 2ab + b^2)
= x^2 + 9x  + 5 ..........(combine like terms and simplify)

hope that  helps</span>
3 0
2 years ago
The statement below is fallacious. Indicate which fallacy the speaker has committed:
sdas [7]

Answer:

Regression to the mean fallacy

Step-by-step explanation:

It assumes that something has returned to normal because of corrective actions taken while it was abnormal. This fails to account for natural fluctuations. It is frequently a special kind of the post hoc fallacy.

3 0
2 years ago
1 Point<br> The circle below is centered at (-3, 2) and has a radius of 3. What is its<br> equation?
arlik [135]

Answer:

(x + 3)^2 + (y - 2)^2 = 9

Step-by-step explanation:

<u>Equation for a circle:  (x – h)^2 + (y – k)^2 = r^2</u>

<u />

<u>Step 1:  Determine what h, k, and r are</u>

<em>h is the x value of the point:  -3</em>

<em>k is the y value of the point:  2</em>

<em>r is the radius of the circle:  3</em>

<u>Step 2:  Plug in and solve</u>

(x – h)^2 + (y – k)^2 = r^2

(x – (-3))^2 + (y – (2))^2 = (3)^2

<em>(x + 3)^2 + (y - 2)^2 = 9</em>

<em />

Answer:  (x + 3)^2 + (y - 2)^2 = 9

8 0
3 years ago
A game stop membership cost $20 and includes one game A month for five dollars. Nonmembers can get one more game a month for sev
miss Akunina [59]

Answer:

C(x) = 5x + 20 (for members)

C(x) = 3.5x (for non-members)

Step-by-step explanation:

Cost of membership = $20

Price of a game per month = $5

So, the linear equation to compute the total cost for a member can be computed by:

C(x) = 5x + 20

where x is the number of games per month

On the other hand, non-members can get one more game per month for $7 which means they get 2 games for $7. The price for a single game is $7/2 = $3.5 a month.

The linear equation to compute the total cost for a non-member is:

C(x) = 3.5x

where x is the number of games per month.

The following system of equations can be used to decide whether to become a member or not, by substituting the number of games in place of x and finding out the total cost.

C(x) = 5x + 20 (for members)

C(x) = 3.5x (for non-members)

3 0
2 years ago
What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show your work.
Radda [10]

Answer:

<u>The volume of the cone is 1,102.7 feet³ (cubic)</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Radius = 9 feet

Height = 13 feet

2. What is the exact volume of the cone?

We will use the following formula to calculate the volume of the cone:

Volume of the cone = π * Radius² * Height/3

Volume of the cone = 3.1416 * 9² * 13/3

Volume of the cone = 3.1416 * 81 * 13/3

Volume of the cone = 3.1416 *9² * 13/3

<u>Volume of the cone = 1,102.7 feet³ (cubic)</u>

6 0
2 years ago
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