All categories

3 years ago

Use the method of dividing by prime factors to find the greatest common factor of 140 and 350.

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

140 = 2*2*5*7

350 = 2*5*5*7

now, let's notice, the 2, 5 and 7 are repeated on both, so we'll use them once, and then we add the non-repeated part to it to get the GCF.

(2*5*7)*2*5 <----- that's the GCF ------> 700.

You might be interested in

A changes saved Set up a proportion and use it to solve for x. 2 10 х 3

V125BC [204]

Answer:

C. 15

Step-by-step explanation:

The following proportional can be set-up for the figure given:

$\frac{x + 3}{x} = \frac{10 + 2}{10}$

Solve for x

$\frac{x + 3}{x} = \frac{12}{10}$

$\frac{x + 3}{x} = \frac{6}{5}$

Cross multiply

$5(x + 3) = x(6)$

$5x + 15 = 6x$

15 = 6x - 5x

15 = x

x = 15

3 0

3 years ago

Find the equation of the line specified.

OLga [1]

The point slope form of a straight line is y-y1 = m(x-x1)

y -(-3) = -7(x-5)

y + 3 = -7(x-5)

y = -7x + 35 - 3

y = -7x + 32

7 0

4 years ago

What is the slope of the line passing through the points (-3, 4) and (2, - 1)? A -1

Serggg [28]

Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )

m = $\frac{-1-4}{2-(-3)}$ = $\frac{-5}{2+3}$ = $\frac{-5}{5}$ = - 1 → A

3 0

3 years ago

If A = (4,-5) and B = (7.-9), what is the length of AB?

Nookie1986 [14]

Answer:

Step-by-step explanation:

We can figure out the length of AB by using the distance formula.

$D = \sqrt{(7-4)^{2} + (-9-(-5))^{2} }\\ D = \sqrt{(3)^{2} + (-4)^{2} }\\D = \sqrt{9 + 16}\\D = \sqrt{25}\\D=5$

So the distance is 5

5 0

3 years ago

List five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion

attashe74 [19]

9514 1404 393

Answer:

-0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

-4/5 = -0.8

-2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

-0.67, -0.68, -0.69, -0.70, -0.71

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

-2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

1/6 of this difference is ...

(1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

-2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

-31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

Additional comment

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

-0.68, -0.685, -0.6853, -0.68531, -0.799

7 0

3 years ago