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Paraphin [41]
4 years ago
14

A snowstorm causes a bus driver to decrease the usual average rate a 180 mile route by 5 miles per hour. As a result , the bus t

akes three hours longer than usual to complete the route. At what average rate does the bus usually cover a 180 mile route?
Mathematics
1 answer:
KATRIN_1 [288]4 years ago
4 0
180/v=t  and 180/(v-5)=3+t  using t from the first in the second...

180/(v-5)=3+180/v 

180/(v-5)=(3v+180)/v  cross multiplying...

180v=(3v+180)(v-5)

180v=3v^2-15v+180v-900

3v^2-15v-900=0

v^2-5v-300=0

v^2-20v+15v-300=0

v(v-20)+15(v-20)=0

(v+15)(v-20)=0, since v>0

v=20mph

So the bus usually travels at 20mph

check...

normal...180/20=9 hours

snow...180/15=12 hours

correct.


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3 years ago
Find x when y=6 in the literal equation 5x+4y=39<br><br>A. 12.6<br>B. 15<br>C. 2.25<br>D. 3​
muminat

Answer:

y=6

then,

5x+4y=39---> plug y in to the function

5x+4(6)=39

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8 0
4 years ago
Using the following image, solve the problems below given that Q is the midpoint of PR.​
DochEvi [55]

Answer:

x=18

pq=101

qr=101

pr=202

Step-by-step explanation:

6x-7=5x+11

+5x pasa a restar como -5x al primer miembro y -7 pasa como +7x al segundo miembro y la ecuacion quedaria asi:

6x-5x=11+7

6x-5x=x

11+7=18

entonces x=18

pq=6x-7

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pq=101

y como se sabe que pq=qr porque hay un punto medio y dos segmentos cuando los divide un punto medio esos dos segmento miden igual entonces

por eso pq=qr

y como pq=101  qr=101

por ultimo

pr=pq+qr

pr=101+101

pr=202

3 0
4 years ago
A swimming pool that holds 1200 gallons of water can be completely drained by a two pumps. The first pump is small and can only
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Step-by-step explanation:

7 0
3 years ago
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