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insens350 [35]
3 years ago
8

Sally takes 2 5/6 minutes to drive from her home to the local shopping center. She spends 1/5 of this time waiting at traffic li

ghts. Find the number of minutes she spends waiting.
Mathematics
1 answer:
satela [25.4K]3 years ago
5 0

Answer:

\dfrac{17}{30} minutes.

Step-by-step explanation:

It is given that Sally takes 2\dfrac{5}{6} minutes to drive from her home to the local shopping center.

2\dfrac{5}{6}=\dfrac{2(6)+5}{6}

2\dfrac{5}{6}=\dfrac{12+5}{6}

2\dfrac{5}{6}=\dfrac{17}{6}

She spends 1/5 of this time waiting at traffic lights.

Waiting time in traffic =\dfrac{17}{6}\times \dfrac{1}{5}

                       =\dfrac{17}{30}

Therefore, waiting time is \dfrac{17}{30} minutes.

You might be interested in
The population of a small town in Ohio was 3,800 people in I. It has slowly been decreasing at a rate of 25% per year. What will
MrRa [10]

Answer:

676 assuming the population is 3800 in 2019. If it's a different year then change t.

Step-by-step explanation:

P(t) = P_{0} (1+r)^t \\\\P(6) = 3800(1-.25)^6 \\=P(6) = 3800(.75)^6\\=676


3 0
3 years ago
a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. Th
Feliz [49]
I fear that there is an error copying your assignment.  
65% of the students walked.  Are all of the other students on buses?  Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is:  65% of S = 360 + 35% of S  (let S = total # of students)
              .65 S     = 360 + .35 S
           <u> - .35 S   </u>  =     <u>   - .35 S</u>      Subtract .35 S from both sides
             <u> .30  S   </u> = <u> 360</u>                 Divide both sides by .30 (or .3)
                .30           .30
                      S   =  1,200  so we know that this is the total number of students, but that is not what was asked.  
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
   Since the walkers = 65% of 1,2000 and we know of means TIMES, then
                                  .65 (1,200) =  780 walkers
 1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question:   4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420  = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them.  Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders



5 0
3 years ago
Read 2 more answers
Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB
ioda

Answer:

∠ DAB = 48°

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°

5 0
3 years ago
What is the measure of an exterior angle of a regular 36-gon
pishuonlain [190]

Answer: 360/36 = 10 degrees

3 0
3 years ago
Read 2 more answers
Bertha has $2400 more invested at 4% than she has at 5%. If her annual income from these two investments is $294, how much does
Oksana_A [137]
So
x (4%)
y (5%)
x=y+2400
0.04x+0.05y=294

Once you solve them, x=4600 and y=2200
so 4%= $4600
5%= $2200
6 0
3 years ago
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