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ASHA 777 [7]
3 years ago
5

The product of twice a number and six is the same as the difference of eleven times the number and 1/4 fine the number

Mathematics
1 answer:
solmaris [256]3 years ago
3 0

Answer:

x= -1/4

Step-by-step explanation:

suppose ,

The  number is x

now,

twice a number = 2 . x = 2x

The product of twice a number and six = 2x . 6 = 12x

  [ "product" means the result of multiplication]

Then,

Eleven times the number = 11 . x = 11x

The difference of eleven times the number and 1/4 = 11x - 1/4

                                                                                       =  (44x-1)/4

Hence,

 12x = (44x-1)/4

=>48x = 44x-1        [multiplied by 4 on both sides]    

=>48x-44x=-1         [subtract 44x on both sides]    

=>4x=-1                   [divide both sides by 4]  

=>x= -1/4                              

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Can someone pls help me!!!
max2010maxim [7]

Answer:

It will equally 2 because you need to change the 3 into a 9 because you can't add fractions without having the same common demometer

Step-by-step explanation:

4 0
3 years ago
On the exam, Rebecca successfully created 20 out of 25 vases.
juin [17]

\text{Hello there! :]}

\large\boxed{125 \text { vases}}

\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25}  = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}

7 0
3 years ago
Read 2 more answers
Each gallon of paint covers 400 square feet. i have to paint one side of a wall that is 8 meters tall and 40 meters long. if a f
tresset_1 [31]
1. You have that:
 
 - Each gallon of paint covers 400 ft²<span>.
 - One side of a wall must be painted and its dimensions are :is 8 meters tall and 40 meters long.
 
 1 ft=0.3048 m
 1 ft</span>²=(0.3048 m)²=0.09290 m²
 
 2. Each gallon of paint covers 400 ft<span>², then:
</span> 
 400 ft²x<span>0.09290=37.16 m</span>²
 
 3. The area of one side of the wall is:
 
 A=8 mx40 m
 A=320 m²
 
 4. Therefore, you have:
 
 1 gallon-----37.16 m²
             x-----320 m²
 
 x=320x1/37.16
 x=8.61 gallons
 x≈9 gallons
 
 The answer is: 9 gallons
 
6 0
3 years ago
the volume of a storage tub shaped like a rectangular prism is 24 ft cubed. The height of the top is 3 ft the width is W feet in
kondor19780726 [428]
<h2>Answer:</h2>

\boxed{W=2ft}

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle.  Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

V=L\times W\times H

From the statement of the problem we know:

V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2

So:

24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4

Since we can't have negative distance, the only valid option is \boxed{W=2ft}

3 0
3 years ago
What is the product of (5 m Superscript negative 2 Baseline) (2 m Superscript negative 3 Baseline)?
uysha [10]

Answer:

C ) 10/m⁵

Step-by-step explanation:

In this question, we have to find the product of two terms

First term = 5 m⁻²

Second term = 2 m⁻³

Product of both terms = (5 m⁻²) · (2 m⁻³)

The simple way of calculating product of these two term which involves constants as well as variable is that we multiply the constants together:

5·2 = 10

And we multiply the variables. According to the rules of multiplication, when 2 same constants or variables are multiplied, we can just add their powers to get the result.

(m⁻²) · (m⁻³) = m⁻²⁻³ = m⁻⁵

The product of both terms can be written as:

(product of constants)(product of variables) = (10)(m⁻⁵) = 10/m⁵

So the correct option is C

7 0
4 years ago
Read 2 more answers
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