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3 years ago

Which equations below represent a proportional relationship? Select all that apply.

Mathematics

1 answer:

Svetlanka [38]3 years ago

8 0

Answer:

If C) y = 1/8x then this is also the answer.

Step-by-step explanation:

Proportional relationship:

$\dfrac{y}{x}=constant$

$\dfrac{y}{x}=a\to y=ax$

A) y = 5x → a = 5

C) y = 1/8x → a = 1/8

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I don't know how to do this or what i'm doing plz help

mote1985 [20]

recalling that d = rt, distance = rate * time.

we know Hector is going at 12 mph, and he has already covered 18 miles, how long has he been biking already?

$\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 12&1\\ 18&x \end{array}\implies \cfrac{12}{18}=\cfrac{1}{x}\implies 12x=18\implies x=\cfrac{18}{12}\implies x=\cfrac{3}{2}$

so Hector has been biking for those 18 miles for 3/2 of an hour, namely and hour and a half already.

then Wanda kicks in, rolling like a lightning at 16mph.

let's say the "meet" at the same distance "d" at "t" hours after Wanda entered, so that means that Wanda has been traveling for "t" hours, but Hector has been traveling for "t + (3/2)" because he had been biking before Wanda.

the distance both have travelled is the same "d" miles, reason why they "meet", same distance.

$\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hector&d&12&t+\frac{3}{2}\\[1em] Wanda&d&16&t \end{array}\qquad \implies \begin{cases} \boxed{d}=(12)\left( t+\frac{3}{2} \right)\\[1em] d=(16)(t) \end{cases}$

$\bf \stackrel{\textit{substituting \underline{d} in the 2nd equation}}{\boxed{(12)\left( t+\frac{3}{2} \right)}=16t}\implies 12t+18=16t \\\\\\ 18=4t\implies \cfrac{18}{4}=t\implies \cfrac{9}{2}=t\implies \stackrel{\textit{four and a half hours}}{4\frac{1}{2}=t}$

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2 years ago

A system of 2 linear equations is ___ dimensional. It is a graph of _____ lines. The solutions can be _____ solution if the grap

melamori03 [73]

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2 years ago

According to the diagram, point B lies on how many faces of the pyramid?

Lina20 [59]

Answer:

A.1

Step-by-step explanation:

No other point is connect to those 4 lines

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2 years ago

What is the solution to 9x−6<21?

OverLord2011 [107]

Answer:

x < 3

Step-by-step explanation:

Solve it like a normal equation

Isolate the variable along with its constant

9x - 6 + 6< 21 + 6

9x < 27

Isolate the variable its self

9x/9 < 27/9

x < 3

<h2>REMEMBER : ONLY FLIP THE INEQUALITY SIGN WHEN <u>MULTIPLYING</u> OR <u>DIVIDING</u> BY A <u>NEGATIVE NUMBER</u></h2>

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2 years ago

Will give brainliest! Pls help!

olga2289 [7]

A straight line equals 180 degrees, so the 3 angles in the picture need to equal 180.

X + 90 + 25 = 180

x +115 = 180

Subtract 115 from both sides:

x = 65

6 0

3 years ago

Read 2 more answers