All categories

2 years ago

Least common multiple of 35 and 70

Mathematics

2 answers:

Angelina_Jolie [31]2 years ago

4 0

【Answer】The least common multiple of 35 and 70 is 70.

$\orange{ {\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt}}$

To obtain the least common multiple (lcm) we must do it by simultaneous decomposition.

This method consists of extracting the common and uncommon prime factors, then

$\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{35 \ \ \ 70}\\ 35 \ \ \ 35\\ 7 \ \ \ \ 7\\ 1 \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 5\\ 7\\ \: \end{matrix} \end{gathered}$}$

$\sf{L.c.m.(35,70)=2\times5\times7}$

$\boxed{\boxed{\sf{L.c.m.(35,70)=70}}}$

<h2>{ Pisces04 }</h2>

Andreas93 [3]2 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Keep calm and carry on wants to design a bag for a new

Scrat [10]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find the slope of the line that passes through (2, 12) and (5, 10).

Darina [25.2K]

The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

6 0

3 years ago

Read 2 more answers

There were 5 girls and 22 boys in math express the number of girls as a fraction of the number of boys then express the fraction

olasank [31]

5/22 is the fraction of girls to boys and as a decimal it is 2.3 rounded and not rounded is 2.27 repeated.

4 0

3 years ago

What is the measurement of angle P? MPO O A.) 36° O B.) 64° O C.) 116° O D.) 244°

gladu [14]

Answer:

P is MPO O A.) 36° O B.) 64° O C.) 116° O D.) 244°

Step-by-step explanation:

MPO O A.) 36° O B.) 64° O C.) 116° O D.) 244°

7 0

2 years ago

Read 2 more answers

One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).

lesya692 [45]

Answer:

$(-x+2, -\frac{1}{2}y-4})$

Step-by-step explanation:

We know that one of the endpoints of the line segment is (x+4, 1/2y)

The midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.

To do so, we can use the midpoint formula:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Since we know that the midpoint is (3, -2), let's substitute that for M:

$(3, -2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Let's solve for each coordinate individually:

X-Coordinate:

We have:

$3=\frac{x_1+x_2}{2}$

We know that one of the endpoints is (x+4, 1/2y). So, let's let (x+4, 1/2y) be our (x₁, y₁). Substitute x+4 for x₁. This yields:

$3=\frac{(x+4)+x_2}{2}$

Solve for our second x-coordinate x₂. Multiply both sides by 2:

$6=x+4+x_2$

Subtract 4 from both sides:

$2=x+x_2$

Subtract x from both sides. Therefore, the x-coordinate of our second point is:

$x_2=-x+2$

Y-Coordinate:

We have:

$-2=\frac{y_1+y_2}{2}$

Substitute 1/2y for y₁. This yields:

$-2=\frac{\frac{1}{2}y+y_2}{2}$

Solve for y₂. Multiply both sides by 2:

$-4=\frac{1}{2}y+y_2$

Subtract 1/2y from both sides. So:

$y_2=-\frac{1}{2}y-4$

Therefore, the other coordinate expressed in terms of x and y is:

$(-x+2, -\frac{1}{2}y-4})$

3 0

2 years ago