All categories

3 years ago

What is the greatest common factor of 60x4y7, 45x5y5and 75x3y?

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

Answer:

15x^3·y

Step-by-step explanation:

The numbers 60, 45, 75 are all multiples of 15, so 15 is their greatest common factor.

The least power of the factor x is 3; the least power of the factor y is 1, so the GCF is ...

GCF = 15·x^3·y

You might be interested in

Similar triangles ... help?

jolli1 [7]

Answer:

The second answer

XYZ-RQS

Step-by-step explanation:

8 0

3 years ago

3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the

Mnenie [13.5K]

Assuming the interest is simple interest, as opposed to compound interest,

$\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3600\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=years\to &25
\end{cases}
\\\\\\
A=3600(1+0.09\cdot 25)\implies 3600(3.25)$

3 0

3 years ago

Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used. Sam initially i

galben [10]

Answer:

$t \leq 18.67\ years$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\ years\\ P=\$4,500\\ A=\$7,020\\r=0.03$

The inequality that represented this situation is

$P(1+rt) \leq A$

substitute the values and solve for t

$4,500(1+0.03t) \leq 7,020$

$(0.03t) \leq (7,020/4,500)-1$

$t \leq [(7,020/4,500)-1]/0.03$

$t \leq 18.67\ years$

7 0

3 years ago

has 8 times as many rocks in his collection as carter. carter and jacey have 54 rocks altogether. how many rocks does jacey have

lions [1.4K]

Answer:

Jacey has 48 rocks. Carter has 6 rocks.

If Carter and Jacey are the only factor owners of 54 rocks

We divide 48 by 8 = 6 rocks: 42 difference;

Which is also 54 as 6 + 48 = 54

They now have 48 difference

6,6, 6,6, 6,6, 6,6 = 48

We see 48 - 6 = 42.

We also see 48 + 6 = 54

54=6 = 48

48 difference is the denominating divider; meaning 48/8 = 6 is how we first find the answer before adding on the 6 to show the difference of 8 equal shares.

7 0

3 years ago

Atlantic Hurricanes

Natali [406]

Answer:

1933

there where a total number of 20 hurricanes recorded that year

4 0

3 years ago