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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

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6.1/5(12b+5) for b = 5/6

Temka [501]

Answer:

Step-by-step explanation:

6.1 / 5 ( 12b + 5 )

b = 5/6

by substituting,

6.1 / 5 ( 12 × 5/6 + 5 )

1.22 × 15

= 18.3

Hope this helps

plz mark as brainliest!!!!!!!

Stay safe!!

7 0

3 years ago

Does anyone know how to do this?

Strike441 [17]

Answer:

$196 m^{2}$

Step-by-step explanation:

A square is a shape that which all sides are equal

14 is one side of the square and to find the area of a square/rectangle, you do length*width

14*14=196

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2 years ago

I need help with this, it’s counting principles but I don’t know how to do it! Help

aliina [53]

The answer is 2^12 = 4096.

Look at a tree diagram. With one spin there are two possible outcomes (branches). Every time you spin, each of the branches split into two more branches.
With 12 spins, first there are 2 branches, then 2*2, then 2*2*2, ... In the end it's 2^12

7 0

3 years ago

Will mark brainliest! Questions are in the picture!

alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the perimeter to the nearest tenth.

As we know that the area of triangle is ,

$\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)$

Substituting the respective values,

$\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0$

On using the Quadratic formula , we have;

$\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}$

On simplifying above , we will get ,

$\rm\longrightarrow x = 6.802,-9.802$

Since sides can't be negative, therefore,

$\rm\longrightarrow\underline{\underline{ x =6.802}}$

Therefore ,

$\rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\$
$\rm\longrightarrow Height = x +3=6.802+3=9.802\ in$

Next let's find out the hypotenuse using Pythagoras theorem, as ;

$\rm\longrightarrow h=\sqrt{ b^2+p^2}\\$

$\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\$

$\rm\longrightarrow h =\sqrt{416.40+96.07}\\$

$\rm\longrightarrow h = 22.63\ in$

Now we may find perimeter as ,

$\rm\longrightarrow P = p + b + h \\$

$\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.$

$\\\rm\longrightarrow P = 52.89 \ in.\\$

$\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}$

8 0

3 years ago

Liz had attended class everyday since she started school as a kindergartener. She said she had been in school for about a thousa

nika2105 [10]

This would mean that she has been in school for about 1,000 days. Thus, we need to figure out the amount of days she would have went to school within the week. This would normally be 5 days within the 7.

5/100 x 1000 is 714.28

When rounded to the nearest ten, it would end up at 710.

3 0

3 years ago

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