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Troyanec [42]
3 years ago
7

Write as a mixed number. 60/7

Mathematics
2 answers:
Veronika [31]3 years ago
6 0

Answer:

8 3/7

Step-by-step explanation:

divide 60 by 7 and it goes 8 times with 3 leftover

tino4ka555 [31]3 years ago
3 0

Answer:

8 4/7

Hope this helps :)

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What is the monomial if a square of a monomial is: 0.0001*a^8*x^4
Georgia [21]

Answer:

Monomial 0.0001\cdot a^8\cdot x^4 is a square of monomial 0.01\cdot a^4\cdot x^2

Step-by-step explanation:

Given monomial 0.0001\cdot a^8\cdot x^4

Using property (a^m)^n=a^{m\cdot n}, note that

0.0001=(0.01)^2\\ \\a^8=(a^4)^2\\ \\x^4=(x^2)^2

So,

0.0001\cdot a^8\cdot x^4=(0.01)^2\cdot (a^4)^2\cdot (x^2)^2.

Now use property (a\cdot b)^n=a^n\cdot b^n to rewrite the previous expression:

(0.01)^2\cdot (a^4)^2\cdot (x^2)^2=(0.01\cdot a^4\cdot x^2)^2

Hence, monomial 0.0001\cdot a^8\cdot x^4 is a square of monomial 0.01\cdot a^4\cdot x^2

7 0
3 years ago
Which equation relates the number of triangles in the figure (n) to the perimeter of the figure (p)
WITCHER [35]

Answer:

Option d is correct.

Equation : P=7n+20.

Explanation;

Given the perimeter of each figure is;

Perimeter of triangle is equal to the sum of all the sides of a triangle.

Perimeter of 1 triangle is 21

Perimeter of 2 triangle is 34 and

Perimeter of 3 triangle is 41

Let n be the number of figure and P be the perimeter of the figure;

the only equation which satisfy the given perimeter is;

P=7n+20

Check:

for n =1 which means 1 triangle then;

P =7n+20 = 7 \cdot 1 +20 = 7+20 = 27

for n = 2 , [ i.e 2 triangle]

P =7n+20 = 7 \cdot 2 +20 = 14+20 = 34

and for n =3 [i.e, 3 triangles]

P =7n+20 = 7 \cdot 3 +20 = 21+20 = 41

Therefore, the equation P =7n+20 relates the number of triangles in the figure(n) to the perimeter of the figure(P).


3 0
3 years ago
On Tuesday, Karen finished all her chores in 3/4 of an hour. On Wednesday, she finished her chores in 5/12 of an hour. How much
IRISSAK [1]
1 hour = 60 minutes

Tuesday: 60 divided by 4 = 15. Karen did it 3/4 of a hour so we multiply 15 by 4 which is 45. 45 equals 45 minutes. On Tuesday, Karen finished her chores in 45 minutes

Wednesday: first we divide 60 by 12 which is 5. 5 would equal 5 minutes. now we multiply 5 by 5 which is 25. Karen finished her chores in 25 minutes.

Answer: Karen finished her chores 20 minutes faster on Wednesday than Tuesday.

Hope this helps!
3 0
2 years ago
0.33333333333333333333333333333333333333333333333 simplified at a fraction
USPshnik [31]

Answer:

\frac{1}{3}

Step-by-step explanation:

Your original number to convert is 0.333333. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 3).

If we do this, we'll get a 3.333333 (slide the decimal in the 0.333333 right 1 places, you'll get 3.333333).

So what? Well now, we have two numbers with the same repeating decimal parts, 3.333333 and 0.333333.

Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x = 0.333333. The number with the decimal point slid over can be called 10x, because 10x = 3.333333

10x = 3.33333

-x = 0.333333\frac{10x = 3.33333  -x = 0.333333}{9x = 3}

---------------------------------------------------------------------------------------------

Now, solving 9x=3 for x by dividing both sides of it by 9, we'll get that x=3/9. And this is your answer.

How is this your answer? Well remember that above, x was originally set equal to 0.333333 via x = 0.333333, and now we have that x is also equal to 3/9, so that means 0.333333 = 3/9..and there's 0.333333 written as a fraction.

-------------------------------------------------------------------------------------------

<u>Simplify 3/9 into the lowest terms:</u>

\frac{1}{3}

4 0
3 years ago
If you answer it correctly then I will give you brainliest 5 stars and a thank you
shepuryov [24]

Step-by-step explanation:

L H J because they are all on the same line.

8 0
3 years ago
Read 2 more answers
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