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julia-pushkina [17]
3 years ago
8

What are the common factors of 49 and72?

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0
There are no common factors except 1
Phoenix [80]3 years ago
5 0
Factors of 49 are : 1,7, and 49
factors of 72 are : 1,2,3,4,6,8,9,12,18,24,36,72

the only common factor is 1
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Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
1 year ago
Mary mixes white paint in the ration 2:3
topjm [15]
11 more liters because then the ratio would be 2:14 which is equal to 1:7
8 0
3 years ago
Find the total amount in the compound interest account.
Evgesh-ka [11]
\bf \qquad \textit{Compounding Continuously Earned Amount}\\\\&#10;A=Pe^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to& \$1740\\&#10;r=rate\to 12\%\to \frac{12}{100}\to &0.12\\&#10;t=years\to &5&#10;\end{cases}&#10;\\\\\\&#10;A=1740\cdot e^{0.12\cdot 5}

bear in mind that the continuously compounding interest is just that, a daily compounding cycle, taking a year as 365days.
3 0
3 years ago
7x − 2(x + 1) = 6x + 14
TEA [102]

The answer is x= -16

3 0
3 years ago
Bob and Ted are in the plumbing business. Bob can do the plumbing hook-up for a new house in 4 hours; Ted does the same job in 6
Stels [109]
Where 1/4 represents Bob and 1/6 represents Ted...
1/4x + 1/6x = 1
Multiply the two so there is no fraction by the GCF of 12. 
3x + 2x = 12
Add 3x and 2x.
5x = 12
Divide by 5.
x = 12
Plug this value in.
With that, the answer is 2 hours and 24 minutes with x = 12 meaning 144 minutes.
5 0
3 years ago
Read 2 more answers
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