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dexar [7]
3 years ago
9

Are 16/72 and 18/81 equivalent rational numbers​

Mathematics
1 answer:
madam [21]3 years ago
5 0

Answer:

yes

Step-by-step explanation:

\frac{16}{72} ( divide numerator/ denominator by 8, the LCM of 16 and 72 )

= \frac{2}{9}

\frac{18}{81} (divide numerator/ denominator by 9 the LCM of 18 and 81 )

= \frac{2}{9}

Both rational numbers simplify to \frac{2}{9} and are equivalent

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Write 750 g as a fraction of 5 kg. Give your answer in its<br> simplest form.
Valentin [98]

Answer:

3/20 is the answer.......

8 0
2 years ago
Phil's age is 7 years more than 1/5 times than Peter's age . Also , 4 times Phil's age is 2 years less than twice Peter's age. I
OverLord2011 [107]

Answer:

x=25

Step-by-step explanation:

we know that "x" is Peter's age

assume that "y" is Phil's age

In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x

create equation with these two things

y = 1/5 x

including "7 years more"

many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?

in order to avoid mistakes

read the sentence and point, which: y or 1/5 x is greater and smaller

"Phil's age is 7 years more than ..."

so y is greater, and 1/5 x smaller

y = 1/5 x

greater = smaller

we must add 7 to smaller number to make an equality

greater = smaller + 7

y = 1/5 x + 7


Second sentence:

"4 times Phil's age is 2 years less than twice Peter's age."

Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x

4y = 2x

read the sentence once again

"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater

4y = 2x

smaller = greater

including "2 years less" we add 2 to a smaller number

smaller + 2 = greater

4y + 2 = 2x

Substitute y=1/5 x + 7 to the equation 4y+2 = 2x

4(\frac15x+7)+2=2x\\ \frac45x+28+2=2x\\ 30=2x-\frac45x\\ 30=1\frac15x\\ \frac65x=30\ \ \ |\cdot 5\\ 6x=150 \ \ \ \ |:6\\ \boxed{x=25}






3 0
3 years ago
F(x)=−4x <br> 2<br> +5x<br> \text{Find }f(6)<br> Find f(6)
Vilka [71]

Answer:

-114

Step-by-step explanation:

f(x) = -4x^2 +5x

Let x = 6

f(6) = -4(6)^2 +5(6)

     = -4(36) +30

     - 144+30

   = -114

7 0
3 years ago
6m+8+5 simplify the expression
Sauron [17]
Hi, The answer is 6m + 13. Hope it helps!!!
8 0
3 years ago
Read 2 more answers
What does it mean when two lines are perpendicular? What does it tell you about the equations?
Vaselesa [24]
When lines are perpendicular it’s called parallel, it’s when the lines never touch
3 0
3 years ago
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