All categories

2 years ago

What is the common denominator for 14/25 and 10/21

Mathematics

1 answer:

Brrunno [24]2 years ago

6 0

To start off, let us find the least common multiple of 25 and 21.

25=5 to the power of 2(which means 5*5)

21= 3*7

So, the lcm is 5*5*3*7(25*21).

Which results in the answer being 525.

You might be interested in

The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

8 0

2 years ago

Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible

Anna71 [15]

Answer:

558

Step-by-step explanation:

I can't say :>

3 0

3 years ago

Solve 4x + 1 = 3 – 2x

romanna [79]

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

Add 2x on both sides: 6x + 1 = 3
Subtract 1 on both sides: 6x = 2
Divide 6 on both sides: x = 1/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(1/3) + 1 = 3 - 2(1/3)
Multiply: 4/3 + 1 = 3 - 2/3
Add/Subtract: 7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

7 0

2 years ago

Read 2 more answers

Alma ask money to buy a bicycle of $150. his mom give him $40 at the moment and gives kyle $10 each month to pay the total of th

Tanya [424]

Answer: $40+$10x

Step-by-step explanation:

1. We already know he has $40.

2. 10x represent the 10 dollars he is paid per month.

5 0

3 years ago

Simplify. Your answer should only contain only positive exponents.

Xelga [282]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers