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4 years ago

Find the LCD for the following fractions: , 25x3 60x3 25x5 60x5

Mathematics

1 answer:

zimovet [89]4 years ago

7 0

Answer:

We need to find the lowest common divisor which is the smallest possible number that is dividable by ALL numbers.

We have the following numbers:

$\frac{25}{3}$

$\frac{60}{3}$

$\frac{25}{5}$

$\frac{60}{5}$

For the denominators (3, 3, 5, 5) the least common multiple (LCM) is 15.

LCM(3, 3, 5, 5) . Therefore, the least common denominator (LCD) is 15.

Rewriting the original inputs as equivalent fractions with the LCD:

125/15, 300/15, 75/15, 180/15

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The sum of an integer and 6 times the next consecutive integer is -50. Find the

Gelneren [198K]

The value of the greater integer is -8.

Given,

The sum of an integer and 6 times the next consecutive integer = -50

We have to find the value of the greater integer:

Let's take x as the integer.

Next consecutive integer be (x + 1)

Now,

x + 6(x + 1) = -50

x + 6x + 6 = -50

7x + 6 = -50

7x = -50 - 6

7x = -56

x = -56/7

x = -8

The value of x is -8.

Now,

x + 1 = -8 + 1 = -7

That is,

-8 + (6 × -7) = -50

-8 -42 = -50

Here, the integers are of negative values.

So, the value of greater integer be -8.

Learn more about sum of integers here:

brainly.com/question/28551069

#SPJ1

3 0

1 year ago

Find the distance between the points (-16,-17) and (7,-17).

gladu [14]

Answer:

23 units

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 16, - 17) and (x₂, y₂ ) = (7, - 17)

d = $\sqrt{(7+16)^2+(-17+17)^2}$

= $\sqrt{23^2+0^2}$

= $\sqrt{23^2}$

= 23

4 0

3 years ago

5. A markup of 30% on cost is equivalent to a 41% markup on selling price, True False

aivan3 [116]

Answer:

false

Step-by-step explanation:

cost and selling price are the same thing so there would be no difference in percentage

8 0

3 years ago

Which of the following indicates the division property of equality when solving –12x = 48?

vampirchik [111]

A is the answer because I did befor

6 0

3 years ago

Complete the square for 5x^2+10x-16. first one to answer gets brainiest

ella [17]

Answer: x= -1 + √(21/5)

Step-by-step explanation:

The given equation can be written as 5x^2+10x-16=0

keep the x terms on one side and constant on another side

5x^2+ 10x = 16.

Now, to make a complete square like (x+a)^2 = x^2+2xa+a^2.

Divide the given equation by 5 on both sides,

The equation now becomes x^2+2x = 16/5.

The middle term is 2xa=2x

By solving for term "a" in above equation, a= 1

The entire equation of complete square should be x^2+2x+1, which is equal to (x+1)^2

Here, in the equation given in question, +1 is missing to make a complete square.

In order to add 1 we have to simultaneously minus 1 to keep the values in the equation unchanged.

Thus, x^2+2x+1-1 =16/5.

Again moving the constant -1 to other side, we have

x^2+2x+1 =16/5+1

After simplification,

(x+1)^2= 21/5

Taking square root on both sides,

(x+1)= + √(21/5)

The answer is x= -1 + √(21/5)

5 0

3 years ago