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2 years ago

(b) The sum of a number and its reciprocal is 2 1/6.Find the number

Mathematics

1 answer:

Phoenix [80]2 years ago

4 0

Answer:

Step-by-step explanation:

n+1/2n=7/2

2n^2+1/2=7/2

4n^2+2=14

4n^2=12

n^2=3

n=radical3

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Alecia walked 3/10 of a mile from school,stopped at the grocery store on the way, then walked another 4/10 of a mile home.Georgi

Nutka1998 [239]

Answer:

Alecia lives farther from school

Step-by-step explanation:

<em>Georgia</em>

we know that

The distance from the school to her home is 67/100 of a mile

$\frac{67}{100}=0.67\ miles$

<em>Alecia</em>

we know that

The distance from the school to her home is

3/10 of a mile plus 4/10 of a mile

$\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles$

Compare the distances

$0.7\ miles>0.67\ miles$

therefore

Alecia lives farther from school

3 0

3 years ago

Marcos charges $6 an hour to work in his neighborhoods gardens. Complete the graph to show proportional relationship of the amou

NISA [10]

Answer:

120

Step-by-step explanation:

6 0

3 years ago

Find the measure of

yaroslaw [1]

Answer:

∠ HGL = 73°

Step-by-step explanation:

KL is a midsegment of the triangle and is parallel to HG, then

∠ KLJ = ∠ HGL ( corresponding angles ), so

9x - 62 = 5x - 2 ( subtract 5x from both sides )

4x - 62 = - 2 ( add 62 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

∠ HGL = 5x - 2 = 5(15) - 2 = 75 - 2 = 73°

4 0

3 years ago

Mary has used 160 tiles to cover 40% of the back splash in her kitchen how many tiles will it take to cover the entire back spla

dangina [55]

Answer:

400 tiles :)

Step-by-step explanation:

2/5 = 160/x

1/5 = 80/x

80 *5 = 400

6 0

3 years ago

Please help meeee ………..

Len [333]

Answer:

x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$

<em>Additional comment</em>

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

$\log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5$

6 0

1 year ago