Find the H.C.F of the following expression 39x^7y^3z and 91 x^5y^6z^z7

Answers

Answer 1
HCF of 39 and 91  is 13

od x^7 and x^5  its x^5
of y^3 and y^6  its y^3
and of z and z^7  its z

So the HCF is 13x^5y^3z  Answer.
Answer 2

13x⁵y³z is the HCF of two given expressions.

What is the highest common factor?

The HCF (Highest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The HCF or GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.

The given expressions are 39x⁷y³z and 91x⁵y⁶z⁷.

Here, the numbers 39 and 91 divisible by 13.

The factor x⁵y³z can divide both the expressions

So, HCF of two given expressions is 13x⁵y³z

Therefore, the HCF is 13x⁵y³z.

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Related Questions

Solve the quadratic by quadratic formula below

x squared-14x=-49

Answers

x^2-14x+49=0

Factor
(x-7)(x-7)

Check
-7-7=-14
-7*-7=49

Use ZPP
x-7=0
x=7

Final answer: x=7
Equation ax²+bx+c=0 arrange the equation x²-14x+49=0  a=1 b=-14 c=49
General Formula= b+ or - √b²-4ac/2a    by substituting gives us
-14+ or - √0/2  so we have one answer because 4ac is to b2 and √0 = 0             -14/2 = -7 The answer is one solution -7. If you want and extra hint there it is: b²-4ac is called the discriminant because it shows you how many solutions the equation will have if it's positive then it's 2 solutions and if it's zero then it's one solution and if it's negative no solution because b²-4ac is under a root and if a negative number is under a square root then it's undefined.

math question down below

Answers

x+ 9 = 32

x = 32-9

so,
option c is correct.


x + 9 = 32
9 = 32 - x

so, option d is also correct.

is 0.329 rational or irrational

Answers

0.329 is rational because it has a definitive stop. It doesn't continue forever without any order. 
Yes it is rational hope this helped

Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops nationwide. During the next 10 years, the bakery had to close down a few shops, and the total revenue in 2010 from 5,152 shops was $6.7 billion. What was the average revenue in 2000 per shop?

Answers

I believe it would be $1,797,914.42
10,000,000,000/5,562

Answer:

$1797914.419

Step-by-step explanation:

Given : Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops nationwide

To Find:What was the average revenue in 2000 per shop?

Solution:

Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops

So, the average revenue in 2000 per shop =[tex]\frac{10000000000}{5562}[/tex]

                                                                         =[tex]1797914.419[/tex]

Hence the average revenue in 2000 per shop was $1797914.419

A pentagon with each side measuring 6 inches, a hexagon has 5 inches, which shape has a greater perimeter and explain why?

Answers

They are equal
Pentagon-6+6+6+6+6=30
Hexegon-5+5+5+5+5+5=30

What is 0.00037 written in scientific notation

Answers

0.00037=3.7*10^−4
You have to move the decimal four places to the right which gives you 10^-4 then you get 3.7

The Scientific notation of numbers is,

⇒ 3.7 × 10⁻⁴

We have to give that,

A standard form of number is,

⇒ 0.00037

Since Scientific notation is a way of writing very large or very small numbers.

For example; 230,000,000 can be written in scientific notation as

2.3 x 10⁸.

Hence, the Scientific notation of numbers is,

⇒ 0.00037

⇒ 3.7 × 10⁻⁴

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what is the answer to -12x+13x

Answers

-12x + 13x

If this is hard for you to solve, just switch the numbers.
13x - 12x

This gives you 1x, so the answer will be simply x.
-12x + 13x

Since both numbers have the same variable (x), then all you need to do is add the numbers together, and totally just ignore the variable.

What is -12 + 13?

-12 + 13 = 1

So, -12x + 13x = x

~Hope I helped!~

Which two decimals are equivalent to 0.6?
a. 6 and 60
b. 0.06 and 0.060
c. 0.006 and 0.0060
d. none of the above

Answers

none of the above

0.6 would be equivalent to 0.60 and 0.600 and 0.600000...but none of the above answers
None of the above is the answer


a pressure of 1036.0 mb when converted to invest would equal A. 30.50 in
B. 30.59 in
C. 30.60 in
D. 30.55 in

Answers

The pressure of 1036.0 mb converts to 30.59 inches of mercury (in. Hg) using the conversion factor that 1 inch of Hg is approximately 33.8639 mb.

A pressure of 1036.0 mb (millibars) when converted to inches of mercury (in. Hg) is equivalent to 30.59 inches. This conversion is relevant in fields like meteorology and aviation where pressure readings are essential. To convert millibars to inches of mercury, one must use the conversion factor that 1 inch of Hg is approximately equal to 33.8639 mb. Therefore, the calculation would look like this:

Start with the given pressure: 1036.0 mb.Use the conversion factor 1 in. Hg = 33.8639 mb.Divide 1036.0 mb by 33.8639 mb/in. Hg to get the pressure in inches of mercury.1036.0 mb / 33.8639 mb/in. Hg = 30.59 in. Hg.

This means the correct answer is B. 30.59 in.

Enter the sum of the numbers as the product of their GCF and another sum. 49+35. The sum of the numbers as a product of their GCF

Answers

49 = 7*7
35 = 7      *5

you have only 7 in common of 49 and 35, so 7 is your greatest common factor

if you pay 5% sale tax on three items have you paid a total of 15% sales tax? why or why not

Answers

no it would be 5% on all the stuff like 50% of 10 is 5
if all 3 items are bought at the same time you only pay 5% sales tax on the total of the 3 items, not 5% on each item.

The chart describes four situations involving financial responsibility. Financial Responsibility Person Financial Decisions Hallie Has multiple loans at the same time Hayden Has more income than the amount of debt Alison Made payments less than the minimum amount due Joel Made late payments several times before the bill was paid Which person is financially responsible?

Answers

Answer:

Hayden

Step-by-step explanation:

Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.

Hallie has multiple loans at the same time; this is not financially responsible.

Hayden has more income than the amount of debt; this is financially responsible.

Alison made payments less than the minimum amount due; this is not financially responsible.

Joel made late payments several times; this is not financially responsible.

Hayden is financial responsible.

What is Financial responsibility?

Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.

As, Hallie has multiple loans at the same time which is not financially responsible.

Hayden has more income than the amount of deb which is financially responsible.

Alison made payments less than the minimum amount due which is not financially responsible.

Joel made late payments several time which is not financially responsible.

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Multiply and simplify. A) 36 1/12 B) 36 1/6 C) 41 1/12 or D) 41 1/6

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]

[tex]\mathsf{= \dfrac{12\times3 + 2}{3}\times\dfrac{3\times4+1}{4}}[/tex]

[tex]\mathsf{= \dfrac{36 + 2}{3}\times\dfrac{12 + 1}{4}}[/tex]

[tex]\mathsf{= \dfrac{38}{3}\times \dfrac{13}{4}}[/tex]

[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]

[tex]\mathsf{= \dfrac{494}{12}}[/tex]

[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]

[tex]\mathsf{= \dfrac{247}{6}}[/tex]

[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{41 \dfrac{1}{6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 12\frac{2}{3} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{12\times3+2}{3}\times3\frac{1}{4} \ \to \ \ Multiply \ 12\times 3 }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{36+2}{3}\times3\frac{1}{4} \ \to \ \ Add \ 36+2 }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times3\frac{1}{4} }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 3\frac{1}{4} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{3\times4+1}{4} \ \ \to \ \ Multiply \ 3\times 4}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{12+1}{4} \ \ \to \ \ Add \ 12+1}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{13}{4}}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule:\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38\times13}{3\times4} \ \ \to \ \ Multiply }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Simplify \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{492}{12}=\frac{247}{6}= }} \end{gathered}$}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{41\frac{1}{6} }} \end{gathered}$}}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Therefore,the \ \bf{\underline{correct \ option}} \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"D"}.} \end{gathered}$}[/tex]

At the beginning of January, Mr. Howard gives his niece $1 to start a savings account, for each month that she can triple the amount in the account, Mr. Howard will double the amount in the account at the end of each month. How much does Mr. Howard's niece in her account at the beginning of May?

Answers

Assuming the niece triples this every month without fail, then it would simply be (2*3)^x, where x is in months. In this case there are 5 months, so it would be (2*3)^5 = 7776 dollars

The requried, at the beginning of May (the fifth month), the niece will have $162 in her account.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In the first month, the niece has $1 in her account.

In the second month, she triples that amount to have $3, and Mr. Howard doubles it to $6.

In the third month, she triples $3 to have $9, and Mr. Howard doubles it to $18.

In the fourth month, she triples $9 to have $27, and Mr. Howard doubles it to $54.

So at the beginning of May (the fifth month), the niece will have 54×3 = $162 in her account.

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Which expression shows 12 more than the quotient of 63 and 9. A) 12 + 63 ÷ 9 B12 + 9 ÷ 63 C)(12 + 63) ÷ 9 D)(12 + 9) ÷ 63

Answers

Hey! Hope that I can help.

To do this, we need to notice the words being used. "More than" means adding on to the quotient of 63 and 9. "Quotient" means to divide 63 by 9 in this problem. Putting this into an expression gives us our answer.

Answer: A) 12 + 63 ÷ 9

The expression which shows 12 more than the quotient of 63 and 9 is option A) 12 + (63 ÷ 9).

We have to find the expression which shows 12 more than the quotient of 63 and 9.

For that, first find the quotient of 63 and 9.

Divide 63 by 9.

63/9 = 7

12 more than the quotient of 63 and 9 = 7 + 12 = 19

So the result is 19.

Now, we have to mathematically write the given word sentence.

12 is added to the quotient of 63 and 9.

12 is added to (63 ÷ 9)

12 + (63 ÷ 9)

Thus, A is the correct option.

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Tom rented a truck for one day. There was a base fee of $16.99 , and there was an additional charge of 90 cents for each mile driven. Tom had to pay $190.69 when he returned the truck. For how many miles did he drive the truck?

Answers

I believe the answer is 193mi

GIVING BRAINLIEST. A parabola opens to the left. Which could be the equation of the parabola?

A. (x – 4)^2 = 4(y + 3)

B. (x – 4^)2 = –4(y + 3)

C. (y – 4^)2 = 4(x + 3)

D. (y – 4)^2 = –4(x + 3)

Answers

D is the answer.  That equation is the only one that results in a parabola opening towards the left.

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?

Answers

y - 8 = -(x + 3)

hope this helps

Answer: The point slope form of the equation for this line is given by

[tex]y-8=-(x+3)[/tex]

Step-by-step explanation:

Since we have given that

The slope intercept form of the equation of a line is given by

[tex]y=-x+6-------------------(1)[/tex]

Line passing through a point is given by

(-3,8)

So, from the equation (1), we get that

m = Slope of line = -1

So, Point slope form of the equation of the line is given by

[tex]y-y_0=m(x-x_0)\\\\(y-8)=-1(x+3)\\\\y-8=-(x+3)[/tex]

Hence, the point slope form of the equation for this line is given by

[tex]y-8=-(x+3)[/tex]

How to determine a quotient in simplest form

Answers

Answer:

To find the quotient of 2 fractions, you have to change the division sign too a multiplication sign, and flip the second fraction, and multiply.

An example (the answer to the first question)

1/2 ÷ 1/4 = 1/2 * 4/1 = 2

Hope this explanation helped! If you want the answers to all the questions, please just tell me and I will answer whenever I have some free time! I would also appreciate a Brainliest.

Circle A contains all positive odd numbers; circle B contains all factors of 33, and circle C contains all prime numbers. How many numbers belong to all three circles?

Answers

3 and 11 are the only two because 33 only has four factors: 1,3,11,33.
1 - in some cases people say this is prime, but it is now widely considered to not be a prime number
3 - prime
11- prime
33 - not prime, divisible by 3 and 11

I need help with slope

Answers

The slope of this line is 4/5 
Slope= 4/5, you start at -2 go up 4 spaces then go to the 5 spaces to the right, where the points stand on an exact point on the graph

What's .0575 rounded to nearest tenth

Answers

the answer is 0.1
correct answer
0.6 (it's making me type more because it was too short before)

What is the answer to -24+2(y-9)

Answers

Come on too easy my friend

The length of 2 sides on an isosceles triangle is 15. What is the range of possible lengths for the other leg? Explain.

Answers

The other leg must be > 0.
Also the third side must be less than the sum of the 2 equal sides.

So  the range for the third side x  is    0 < x < 30

Unless you meant that sum of the 2 equal sides is 15  in which case the answer is

0 < x < 15.

What's the answer for 3/4 (x+3)=9

Answers

We want to solve the equation :

[tex]\displaystyle{ \frac{3}{4}(x+3)=9 [/tex]


first, multiply both sides by 4:

[tex]\displaystyle{ \cancel{4} \cdot \frac{3}{ \cancel 4 }(x+3)=4\cdot 9 [/tex]

[tex]\displaystyle{ 3(x+3)=36[/tex]


divide both sides by 3:

[tex]x+3=12[/tex]


add -3 to both sides:

[tex]x=9[/tex]



Answer: x=9

what is 14 divied by 1162

Answers

1162 divided by 14 is 82

Answer:

83

Step-by-step explanation:

What could be an expression/equation for this problem? Please help :(

Answers

Thanks for the question!

y = 300 - 4x
y = -4x + 300

Hope this helps!

John threw a party for his friends. food, drinks, and a DJ cost $480 for a group of 32 people. Write and solve an equation to find the cost per person

Answers

480÷32=answer
Just use calculator
15 would be your answer.

Cinema tickets for 1 adult and 3 children cost €27. The cost for 2 adults and 5 children is €48. Find the cost of one adult ticket and the cost of one child ticket.

Answers

Lets name adult price as X and child price as Y
then
1X+3Y=27 (1)
2X+5Y=48 (2)

From (1) we see that X=27-3Y
Lets replace X in (2) with this formula

2(27-3Y)+5Y=48 or 54-6Y+5Y=48 and 54-Y=48 and Y=54-48 so Y=6

From (1) X=27-3*6; X=27-18; X=9

Adult = 9€
Child = 6€

what ratios are equivalent to 6:8

Answers

okay act like 6:8 is 6/8 you could either simplify the fraction or multiply to make it bigger

3:4  (divide by 2)
12:16    (multiply by 2)
18:24  (multiply by 3)
24:32   (multiply by 4) 
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