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diamong [38]
3 years ago
6

Two numbers have these properties both numbers are greater than 6 their highst common factor is 6 there lowest common factor is

60 find the two numbers,writing your answers on one line in the form
Mathematics
1 answer:
levacccp [35]3 years ago
4 0

Answer:

The two numbers are 12 and 30

Step-by-step explanation:

Both numbers are greater than 6

Their HCF is 6 and their LCM is 60.

A possible guess of the two numbers will be 6 and 60, which were given in the question, because they satisfy this HCF and LCM values, but the question also tells us that both numbers are greater than 6.

Now, we will obtain the answer using what we have.

Since the HCF is 6, that means that both numbers that we seek are a multiple of 6.

Next, the LCM is 60. We can divide the LCM by the HCF, that is \frac{60}{6} = 10

This tells us that the two numbers are within 6 and (6 × 10).

Next we write out the factors of the 10 that we got by dividing the LCM by the HCF.

Factors of 10 are: 1, 2, 5 and 10.

We multiply each of this by 6 (which is the HCF, recall that we had said that HCF means that the numbers are a multiple of 6), to get the numbers; <em>6, 12, 30 and 60</em>

Since 6 and 60 are already the given LCM and HCF, the two numbers that we seek are 12 and 30.

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Determine if the given ordered pair is a solution to the equation. Show work full.
sleet_krkn [62]

Answer:

The ordered pair is not a solution of the equation

Step-by-step explanation:

we know that

If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation

we have

y=-3x-13

Substitute the value of x and the value of y of the given ordered pair in the linear equation and analyze the results

For x=-1, y=15

15=-3(-1)-13

15=3-13

15=-10 ----> is not true

so

the ordered pair not satisfy the equation

therefore

The ordered pair is not a solution of the equation

5 0
3 years ago
In Exercise,find the balance in the account after 10 years.
djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

y=pe^{rt}

, where P= Present value

r= growth rate  ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500  r = % =0.03  and t= 10

Substitute all the values in the above equation , we get

y=2500e^{0.03(10)}

y=2500e^{0.3}

y=2500(1.3498588)=3374.64701894\approx3374.65  [Round to the nearest cent]

Therefore, the balance in the account after 10 years is $3374.65

3 0
2 years ago
Someone answer this please
irina [24]

Answer:

y = - 27/5

Step-by-step explanation:

4(3) - 5y = 39

12 - 5y = 39

-5y = 39 - 12 = 27

y = - 27/5

7 0
2 years ago
The lengths of sides of a triangle are (3x+2), (2x+5), and 4x. Terrel correctly added the lengths of the three sides to find the
Charra [1.4K]
So permiter=masure of all sides added together
so sides are(3x+2), (2x+5), and (4x)
so (3x+2)+(2x+5)+(4x)
use associative property
a+(b+c)=(a+b)+c so

(3x+2)+(2x+5)+(4x)=3x+2+2x+5+4x
group like terms becasue can move numbers around
(3x+2x+4x)+(2+5)
add like terms
(9x)+(7)
9x+7
he will use 9x+7=perimiter





7 0
2 years ago
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What term describes the elements that sets have in common in a Venn diagram?
tino4ka555 [31]
The term describes the elements that sets have
7 0
2 years ago
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