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Thepotemich [5.8K]
1 year ago
15

Complete the following.(a) Find the greatest common factor (GCF) of 63 and 36.хGCF = 0(b) Use the GCF to factor 63 -36.63 – 36 =

(-X

Mathematics
1 answer:
morpeh [17]1 year ago
6 0
Answer:

a) The GCF of 63 and 36 is 9

b)

63-36=9\times(7-4)

Explanation:

a) To find the GCF of 63 and 36, we do the following:

Write 63 and 36 as follows:

\begin{gathered} 63=3\times3\times7 \\ 36=2\times2\times3\times3 \end{gathered}

The common factors are:

3\times3

Therefore, the Greatest Common Factor (GCF) is 9

b) To find the factor 63 - 36

63-36=9\times(7-4)

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Answer:

radius is 6, center (2,3)

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3 years ago
QUICK PLEASE. Calculate the final amount if $10 000 invested for 6 years at 4% compounded quarterly.
Nikolay [14]

The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

<h3>Compound interest</h3>

The formula for calculating the compound interest is given as:

A = P(1+r/n)^nt

Given the following parameters

A = 10000(1+0.04/4)^4(6)

A = 10000(1+0.01)^24

A = 10000(1.01)^24

A = 1.2697(10,000)

A = $12,697

Hence the final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

Learn more on compound interest here: brainly.com/question/24924853

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7 0
2 years ago
If
g100num [7]

Answer:

-64

Step-by-step explanation:

y = -3 (23) + 5

y = -69 + 5

y = -64

6 0
3 years ago
David wants to fill his backyard swimming pool. His garden hose delivers 40 gallons in 5 minutes. How many gallons of water will
svetlana [45]

Answer:

Part a) 160\ gallons

Part b) 480\ gallons

Step-by-step explanation:

Part a) How many gallons of water will be in the pool after 20 minutes?

we know that

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{20}\frac{gallons}{minutes} \\ \\x=40*20/5\\ \\x=160\ gallons

Part b) How many gallons of water will be in the pool after 1 hour

we know that

1 hour = 60 minutes

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{60}\frac{gallons}{minutes} \\ \\x=40*60/5\\ \\x=480\ gallons

5 0
3 years ago
need help.. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4) Find the coordinates of endpoint G.
iren2701 [21]

Answer:

The coordinates of G are: (-8, -10)

Step-by-step explanation:

Mid point formula:

x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}

Where,

(x,y) are the coordinates of the mid point of the points (x_1,y_1)  and (x_2,y_2).

As per question statement, we are given that:

x_2=-4\\y_2=4

and

x=-6\\y=-3

To find:

x_1 = ?\\y_1 = ?

Solution:

Let us use the mid point formula:

-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}

-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}

The coordinates of G are: (-8, -10)

5 0
3 years ago
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