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2 years ago

Help me on this question.

Mathematics

1 answer:

NISA [10]2 years ago

6 0

This question involves direct proportion which has the formula (y=kx) where y and x are the values which are proportional and k is the constant of proportionality.

The constant of proportionality is basically the value that stays the same even if the x and y values change.

In this case, the constant of proportionality would be 3/7.

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Sound travels through air at about 13 of a kilometer per second. If thunder is heard 6 seconds after a flash of lightning, about

Margarita [4]

If sound travels through air at around 13 of a kilometer per second, and thunder is heard 6 seconds after a flash of lightning, it would be 78ths of a kilometer. Although, I can't simplify that for you. Sorry. ^-^

8 0

2 years ago

a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers

gizmo_the_mogwai [7]

Step-by-step explanation:

Let $x$ be the smallest integer

Let $2x$ be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

$\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}$

$\mathrm{Multiply\:by\:LCM=}16x$

$\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x$

Simplify

$24=3x$

$\mathrm{Switch\:sides}$

$3x=24$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{24}{3}$

$x=8$

So,

$2x=16$

<h2>Verification:</h2>

$\frac{1}{8}\:+\:\frac{1}{16}$

$\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16$

$=\frac{2}{16}+\frac{1}{16}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{2+1}{16}$

$=\frac{3}{16}$

Therefore,

$\frac{1}{8}+\frac{1}{16}=\frac{3}{16}$

Keywords: word problem , integer

Learn more about solving integer word problem from brainly.com/question/10905225

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4 0

2 years ago

Solve problem below please

NARA [144]

Answer:-30

Step-by-step explanation:kinda hard to tell a little shaky so sorry if it is wrong.

6 0

1 year ago

Read 2 more answers

What is the magnitude of the resultant vector a and b shown below?

denpristay [2]

Answer: SECOND OPTION.

Step-by-step explanation:

It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.

For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:

$c=\sqrt{a^2+b^2}$