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1 year ago

Solve the proportion. 3/6 = 7/d

Mathematics

2 answers:

AysviL [449]1 year ago

6 0

To solve this proportion:

$\frac{3}{6} =\frac{7}{d}$

Simplify 3/6, it reduces to 1/2

$\frac{1}{2} =\frac{7}{d}$

Then do the Criss cross method

1d = 7 ×2

d=14

Hope it helps!

Contact [7]1 year ago

6 0

Answer:

d = 14

Step-by-step explanation:

We can use cross products to solve the proportion

3/6 = 7/d

3*d = 7*6

3d = 42

Divide each side by 3

3d/3 = 42/3

d = 14

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-2x > 30

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2 years ago

Which expression is equivalent to (r Superscript negative 7 Baseline) Superscript 6? r Superscript 42 StartFraction 1 Over r Sup

vodomira [7]

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers. The expression which is equal to the given expression is,

$\dfrac{1}{(r)^{42}}$

The option B is the correct option.

Given information-

The given expression in the problem is,

$[(r)^{-7}]^5$

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose<em> </em><em>x</em> is a number with power <em>a. </em>The power is power of the power of number <em>x. </em>Then by the power rule of the exponents,

$(x^a)^b=x^{ab}$

Using the power rule of the exponents given expression can be written as,

$[(r)^{-7}]^6=(r)^{-7\times 6} 
$

$[(r)^{-7}]^6=(r)^{-42}$

<h3>Negative exponents rule</h3>

Negative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,

$[(r)^{-7}]^6=\dfrac{1}{(r)^{42}}$