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3 years ago

14

Mike had a photo made into a postage stamp the photo was 7 by 9.5 inches and the stamp was 1.4 by 1.9 inches what is the scale f

actor of dilation

1 answer:

lions [1.4K]3 years ago

5 0

The scale factor would be 0.2 because you have to divide the new stamp by the original so it would be 1.9/9.5=0.2 and same with 1.4/7=0.2

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Simplify <br> (X-4+2i)(x+5-3i)

iogann1982 [59]

Use distributive property
x^2+x-14+(-x+22)i

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3 years ago

A minor league baseball team plays 72 games in a season. If the team won 15 more than twice as many games as they lost, how many

Alina [70]

X = games won
y = games lost

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3 years ago

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3 years ago

Read 2 more answers

The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago