3 years ago

Sarah solves the equation as shown.

Mathematics

1 answer:

natali 33 [55]3 years ago

3 0

1st step because 2 times x is 2x and 2 times 3 is 6

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An express train travels 80km/h from Ironton to Wildwood. A local train, traveling at 48km/h, takes 2 hours longer for the same

masha68 [24]

Answer:

They are 240 kilometers apart.

Step-by-step explanation:

This question can be solved using the following relation:

$v = \frac{d}{t}$

In which v is the velocity, d is the distance and t is the time.

An express train travels 80km/h from Ironton to Wildwood.

Here we have $v = 80, t = x$ . So

$v = \frac{d}{t}$

$80 = \frac{d}{x}$

$d = 80x$

A local train, traveling at 48km/h, takes 2 hours longer for the same trip.

This means that when $v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}$

$48 = \frac{d}{x+2}$

Since $d = 80x$

$48 = \frac{80x}{x+2}$

Applying cross multiplication

$80x = 48(x + 2)$

$80x = 48x + 96$

$32x = 96$

$x = \frac{96}{32}$

$x = 3$

So the distance is:

$d = 80x = 80*3 = 240$

They are 240 kilometers apart.

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3 years ago

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Fiesta28 [93]

Answer:

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Step-by-step explanation:

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2 years ago

at the mall, danika buys a camera that is 35% off and school supplies hat re reduced to $21.54. danika spends a total of $37.76.

nalin [4]

Answer:

21.54+b=37.76

Step-by-step explanation:

The 35% off doesn't matter or the fact that the supplies were reduced

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Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each person of the

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20 because you must split the pie into sixths. This mean that for one pie there is six people. Six multiplied by 4 is 20.

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4 years ago

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In vertex form rewrite y=2x^2+4x-10

OLga [1]

The vertex form:
$y=a(x-h)^2+q$

$2x^2+4x-10= \\
2(x^2+2x)-10= \\
2((x^2+2x+1)-1)-10= \\
2((x+1)^2-1)-10= \\
2(x+1)^2-2-10= \\
\boxed{2(x+1)^2-12}$

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4 years ago