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alexgriva [62]
3 years ago
9

Reduce to simplest form. - 3/5 + 1/3

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

Answer: -4/15

Step-by-step explanation: To add these two fractions together,

we start by finding their <em>Least Common Denominator</em> (LCD).

Since our denominators of 5 and 3 have no factors in common,

our least common denominator is 5 · 3 or 15.

In order to get a denominator of 15 in each fraction,

we multiply top and bottom of the first fraction by 3

and top and bottom of the second fraction by 5.

That gives us -9/15 + 5/15 which simplifies to -4/15.

As your last step, make sure that the fraction

that you end up with doesn't reduce.

In this case, -4/15 does not reduce but watch out for this last step.

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A car dealer's markup on every car they sell is 20%. For what price did the dealership buy a car that they sold for $18,600?
elena-s [515]

Answer:

buying price = $15,500

Step-by-step explanation:

selling price 20% more than the buying price

let the buying price be 100% then;

selling price = 120%

120% = $18,600

100% = ?

(100 × 18600) ÷ 120

= $15,500

8 0
3 years ago
Describe the nature of the roots for this equation.<br> 3x^2+x-5= 0
m_a_m_a [10]

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}

4 0
3 years ago
Read 2 more answers
Find the gradient of the line segement between the points (0,-6) and (2,-16)
yulyashka [42]

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

7 0
3 years ago
What is 3b + 12 divided by 2
sp2606 [1]

the answer is 3(b+2)

3 0
3 years ago
Read 2 more answers
5/6+2 3/4 (it is a faction)
frosja888 [35]

Answer: the answer would be 3 7/12

Step-by-step explanation:

First you must find the common denominator(which is 12) and then add the fractions

4 0
3 years ago
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