All categories

3 years ago

How to solve this problem: 1 1/2(n-4 1/2)=12

Mathematics

1 answer:

Vikentia [17]3 years ago

4 0

Answer:

n = 25/2, or n = 12 1/2

Step-by-step explanation:

It's essential that you use parentheses here to show how your numerals are grouped. I have made some assumptions here, and believe you meant:

(1 1/2)(n - 4 1/2) = 12.

First, convert 1 1/2 and 4 1/2 into improper fractions:

(3/2)(n - 9/2) = 12

Multiplying both sides by (2/3) eliminates the fractional coefficient (3/2):

n - 9/2 = (2/3)(12), or n - 9/2 = 8.

Again, eliminate the fraction by multiplying all terms by 2:

2n - 9 = 16

Then 2n = 25, and n = 25/2, or n = 12 1/2

You might be interested in

What’s the range of ()=−4|−2|−3

Tpy6a [65]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find the midpoint of the line segment whose endpoints are (2.6,5.1) and (3,4.7).

svp [43]

Answer:

Mid point is: (2.8;4.9)

Step-by-step explanation:

To find midpoint of a line segment we can use the general equation:

$Mid=\frac{x_1+x_2}{2} ;\frac{y_1+y_2}{2}$

Where the point of the line are: (x₁;y₁) and (x₂;y₂).

In the problem, x₁ = 2.6, y₁ = 5.1 and x₂ = 3 and y₂ = 4.7. Replacing in the equation:

$Mid=\frac{2.6+3}{2} ;\frac{5.1+4.7}{2}$

<h3>Mid point is: (2.8;4.9)</h3>

7 0

3 years ago

The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa

Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

$y=a(x-h)^2+k_{}$

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

$\begin{gathered} 6=a(3-2)^2+4 \\ \\ 6=a(1)^2+4 \\ \\ 6=a+4 \end{gathered}$

Subtract 4 from both sides:

$\begin{gathered} 6-4=a+4-4 \\ \\ 2=a \\ \\ a=2 \end{gathered}$

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

$y=2(x-2)^2+4$

Therefore, the equation of the parabola is:

$y=2(x-2)^2+4$

ANSWER:

$y=2(x-2)^2+4$

3 0

1 year ago

What is 1+1 * the square root of 199 and 198

torisob [31]

Answer:2.14.07

Step-by-step explanation:

4 0

2 years ago

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Alina [70]

It is 245m thank me later

4 0

3 years ago