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Norma-Jean [14]
3 years ago
8

A car travels at an average speed of 56 miles per hour. How many miles does it travel in 4 hours and 15 minutes?

Mathematics
2 answers:
ivolga24 [154]3 years ago
8 0
56*(4+15/60)

56*(240+15)/60

56*(255)/60

238 miles


steposvetlana [31]3 years ago
7 0
Well you need to first convert 4hrs and 15 minutes to either a decimal hours or minutes, I would do minutes so 255 minutes. Then you set up a proportion of 56miles xmiles
----------- = --------------- Then solve 60x=(56*255)
60 minutes 255 minutes 60x=14280
----- ---------
60 60
x= 238
so the answer is 238miles
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d) 35ft

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Rectangle ABCD is similar to rectangle RSTU .
Alenkasestr [34]

Answer:

The scale factor of a dilation from ABCD to RSTU is \frac{1}{2}

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We know that the rectangle ABCD is similar to rectangle RSTU.

Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS

Working with the lengths of the sides :

DC.(Scale factor) = UT

AB.(Scale factor) = RS

Replacing with the values of the lengths (Scale factor : SF) :

DC.SF=UT\\(90ft).(SF)=45ft\\SF=\frac{45ft}{90ft} \\SF=\frac{1}{2}

AB.SF=RS\\(90ft).(SF)=45ft\\SF=\frac{45ft}{90ft} \\SF=\frac{1}{2}

Notice that the scale factor is dimensionless.

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AD.SF=UR\\50ft.(\frac{1}{2})=25ft\\ 25ft=25ft

BC.SF=TS\\50ft.(\frac{1}{2})=25ft\\ 25ft=25ft

The scale factor (SF) is \frac{1}{2}

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