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4 years ago

What made the two equivalent fractions 1/2 and 5/10 have the same value

Mathematics

1 answer:

Musya8 [376]4 years ago

3 0

Answer:

1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.

Hope this helps!

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The length, width, and height of a right rectangular prism are multiplied by 23. What will be the effect on the volume of the pr

Yanka [14]

Since none of the options make sense with 23, I assume it was a typo, and you meant 2/3.

Let l,w and h be the length, width and height of the original prism, and l',w' and h' be the length, width and height of the new prism. We are given

$l' = l\times \cfrac{2}{3},\quad w' = w\times \cfrac{2}{3},\quad h' = h\times \cfrac{2}{3}$

Also, if we call V the original volume, and V' the volume of the new prism, we have

$V = lhw,\quad V'=l'h'w'$

Substitute the expressions for l', h' and w' in the formula for V':

$V'=l'h'w' = l\times \cfrac{2}{3}\times w\times \cfrac{2}{3}\times h\times \cfrac{2}{3} = l\times h \times w \times \cfrac{2}{3}\times\cfrac{2}{3}\times\cfrac{2}{3} = V \times \left(\cfrac{2}{3}\right)^3 = V\times\cfrac{8}{27}$

4 0

3 years ago

What is the probability of landing on heads 4/5 times

alexgriva [62]

Im pretty sure the answer is 80%.

8 0

4 years ago

Suppose the sound wave has the form y=7cos(3x-pi/6) for x in the interval [pi/6 , 7pi/18]. Express x as a function of y, and sta

Vesnalui [34]

Answer:

x = ⅓ acos(y/7) + π/18, [-7, 7/2]

Step-by-step explanation:

y = 7 cos(3x − π/6)

Solving for x:

y/7 = cos(3x − π/6)

acos(y/7) = 3x − π/6

acos(y/7) + π/6 = 3x

x = ⅓ acos(y/7) + π/18

The domain of x is the same as the range of y.

When x = π/6:

y = 7 cos(3π/6 − π/6)

y = 7 cos(π/3)

y = 7/2

When x = 7π/18:

y = 7 cos(21π/18 − π/6)

y = 7 cos(π)

y = -7

So the domain of x as a function of y is [-7, 7/2].

5 0

4 years ago

2(x + 2) + 32 = -4 solve for x

Brut [27]

Answer:

-20 hope it helpssss

7 0

3 years ago

Read 2 more answers

PLSSSSSSS HELP ILY TYSM

Mashutka [201]

Answer:

5. k=−3

6. x=4

7. n=−108

Step-by-step explanation:

5. -14k+29=71

Subtract 29 from both sides

-14k+29-29=71-29

Simplify

-14k=42

Divide both sides by -11

-14k/-14=42/-14

6. -33=19-13x

Subtract 29 from both sides

-14k+29-29=71-29

Simplify

-14k=42

Divide both sides by -14

-14k/-14=42/-14

Simplify

k=-3

7. 8+n/25=-4

Multiply both sides by 25

25(8+n)/25 = 25 (-4)

Simplify

8+n=-100

Subtract 8 from both sides

8+n-8=-100-8

Simplify

n=-108

6 0

3 years ago