All categories

3 years ago

What is the solution to the equation 3/5(x-5/8)=1/12-x+7/8?

Mathematics

1 answer:

olga_2 [115]3 years ago

8 0

x = 5/6 = 0.833.................

You might be interested in

Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now

Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

Solution:

Let the present age of Jane be "x"

Let the present age of her sister be "y"

Jane is 5 times older than her sister

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

In 3 years, Jane’s sister will be 1/4 her age

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

$3 + y = \frac{1}{4}(3 + x)$

Substitute eqn 1 in above equation

$3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9$

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0

3 years ago

Multiple polynomial the (x^3+3x^2+1)(3x^2+6x-2)

Mrrafil [7]

The product of given polynomials is: $3x^5+15x^4-16x^3-3x^2+6x-2$

Step-by-step explanation:

Given polynomials are:

$(x^3+3x^2+1)\\and\\(3x^2+6x-2)$

In order to multiply both polynomials, we will use the distributive property

So,

$= (x^3+3x^2+1)(3x^2+6x-2)\\=x^3(3x^2+6x-2)+3x^2(3x^2+6x-2)+1(3x^2+6x-2)\\=3x^5+6x^4-2x^3+9x^4+18x^3-6x^2+3x^2+6x-2$

Combining like terms

$=3x^5+6x^4+9x^4-2x^3+18x^3+3x^2-6x^2+6x-2\\=3x^5+15x^4-16x^3-3x^2+6x-2$

Hence,

The product of given polynomials is: $3x^5+15x^4-16x^3-3x^2+6x-2$

Keywords: Polynomials, variables

Learn more about polynomials at:

#LearnwithBrainly

6 0

3 years ago

The length of a rectangle is 44 centimeters less than its width. What are the dimensions of the rectangle if its area is 221 squ

Artist 52 [7]

5.02272727273 x 44 = 221

4 0

3 years ago

Using an inequality symbol (<,>,=,=) to compare 5 + (-4) _____ 14 + (-13)

Olegator [25]

Well, both sides are equal to 1, so I'm thinking "="

8 0

3 years ago

The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The height of the prism is 16.51 meter

Greeley [361]

Answer:

379.73 square meters

Step-by-step explanation:

formula: AL=(a+b+c)h

AL=(5+8+10)*16.51

AL=(23)*16.51

AL=379.73

8 0

3 years ago