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3 years ago

Aaaaaaaaaahhh pls help I’m stuuuck

Mathematics

1 answer:

Andreyy893 years ago

4 0

Answer:

13.3

Step-by-step explanation:

set up a ratio

$\frac{16}{18} = \frac{y}{15}$

cross multiply

(16*15) = 18y

240= 18y

13.3333333 =y

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Which expressions are equivalent to \dfrac{4^{-3}}{4^{-1}} 4 −1 4 −3 start fraction, 4, start superscript, minus, 3, end super

Slav-nsk [51]

Answer:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}$

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}$

Step-by-step explanation:

Given

$\dfrac{4^{-3}}{4^{-1}}$

Required

Choose equivalent expressions

Choosing the first answer:

$\dfrac{4^{-3}}{4^{-1}}$

Split expressions

$4^{-3} * \frac{1}{4^{-1}}$

Apply laws of indices: $(a^{-b} = \frac{1}{a^b})$

$\frac{1}{4^3} * \frac{1}{4^{-1}}$

Apply laws of indices: $(a^{-b} = \frac{1}{a^b})$

$\frac{1}{4^3} * \frac{1}{1/4}$

$\frac{1}{4^3} * \frac{4^1}{1}$

$\frac{4^1}{4^3}$

Hence:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}$

Choosing the second:

$\dfrac{4^{-3}}{4^{-1}}$

Apply law of indices: $(\frac{a^m}{a^n} = a^{m-n})$

So,

$\dfrac{4^{-3}}{4^{-1}} = 4^{-3-(-1)}$

$\dfrac{4^{-3}}{4^{-1}} = 4^{-3+1)}$

$\dfrac{4^{-3}}{4^{-1}} = 4^{-2}$

Apply law of indices: $(a^{-b} = \frac{1}{a^b})$

So:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}$

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3 years ago

16. Emily bought 48 yards of fabric to make curtains. How many inches of<br> fabric did Emily buy?

USPshnik [31]

Answer:

1728 inches

Explanation:

There are 3 feet in 1 yard and 12 inches in 1 foot, so we have:

48 yards * 3 = 144 feet

144 ft * 12 = 1728 inches

Emily bought 1728 inches.

7 0

3 years ago

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SashulF [63]

Answer:

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3 years ago

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a^4 and 16a^4.

MArishka [77]

Answer: $48a^4$

Step-by-step explanation:

In this case we know that the legs of the given right triangle have these lenghts:

$12a^4$ and $16a^4$

By definition, the sides of a right triangle are in the ratio $3:4:5$

Since:

$\frac{5}{4}=1.25$

We can multiply the lenght $16a^4$ by 1.25 in order to find the lenght of the hypotenuse of the right triangle:

$(16a^4)(1.25)=20a^4$

Since the perimeter of a triangle is the sum of the lenghts of its sides, we can write the following expression for the perimeter of the given right triangle:

$12a^4+16a^4+20a^4$

Simplifying, we get:

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3 years ago

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Is your question right because you said 500 students a hundred and sixty have 320 have brown eyes?

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