Mathematics: Carlos wants to go on a road trip to Jacksonville, Florida. For every gallon of gas, his car travels m miles He will travel 500 miles to Jacksonville. Gas costs $3.65 per gallon. Which expression shows how much Carlos will spend for gas on the trip to Jacksonville? a) 500(3.65m) c) 3.65(m/500) b) 3.65(500/m) d) 500(1/3.65m) QUICK PLEASE!

Carlos wants to go on a road trip to Jacksonville,

wrightstephanie193

06.07.2020

Part a) $AB=15\ cm$

Part b) $AB=11.1\ cm$

Part c) $AB=3/5\ cm$

Part d) $AB=3s\ cm$

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(5)=15\ cm$

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(3.7)=11.1\ cm$

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(1/5)=3/5\ cm$

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(s)=3s\ cm$

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