Which expression is equivalent to 2^6 x 2^-4 / 2^7

2 answers:

6 0

2^6 * 2^(-4) / 2^7

= 2^6 * ( 1 / 2^4 ) * ( 1 / 2^7 )

= 2^6 * ( 1 / 2^11 )

= 2^(6-11)

= 2^(-5)

= 1 / 2^5

= 1 / 32

the answer is 1 / 32

nata0808 [166]3 years ago

6 0

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If Richard can paint their living room in 4 hours, and Vanessa can paint the same living room in 5 hours, then how long will it

Tju [1.3M]

Answer:

2 hrs 13 mins

Step-by-step explanation:

If Richard can paint the living room in 4 hrs, then in 1 hour he can paint 1/4 of the living .

If Vanessa can paint the living room in 5 hours, then in one hour, she can paint 1/5 of the living room.

In one hour Richard and Vanessa can paint 1/4 + 1/5 = 1/y

y is the number of hours it will take both Richard and Vanessa to paint the living room. 1/y is how much of the house they can paint in one hour.

1/4 + 1/5 = 1/y

(5 + 4)/20. ( find the LCM)

9/20 = 1/y

9y= 20

y = 20/9

y = 2.22hrs

y = 2 hrs 13 mins

4 0

4 years ago

What do these fractions add up to? Check image.

xz_007 [3.2K]

$\orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}}$

What do these fractions add up to?

$\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}$

$\red{\mathbb{EQUATION-->}}$

$\frac{9}{16} + \frac{1}{2}\\ \blue{ \mathbb { {LCM}}}\\ \frac{9}{16} + \frac{1 \times 8}{2 \times 8} \\ \frac{9}{16} + \frac{8}{16} \\ \frac{9 + 8}{16} \\ \frac{17}{16}$