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Ainat [17]
3 years ago
15

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
 <span> x = 5/6 = 0.833.................</span>
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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

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

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

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

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

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:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#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]
<span>5.02272727273 x 44 = 221</span>
4 0
3 years ago
Using an inequality symbol (&lt;,&gt;,=,=) 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
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