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GenaCL600 [577]
3 years ago
11

Vincent sets off from his home on a 70 km journey to his friend's house. He travels the first 40 km of his journey at an average

speed of 40 km/h and the remaining at an average speed of 60 km/h. Calculate the average speed for his entire journey.
Mathematics
2 answers:
bonufazy [111]3 years ago
7 0

Answer:

46\frac{2}{3}\:\mathrm{km/h}

Step-by-step explanation:

Average speed can be given by:

S=\frac{d}{t}, where d is the total distance travelled and t is the time it takes to travel said distance.

Vincent total travels 70 kilometers in a total time of:

\frac{40}{40}+\frac{30}{60}=1.5\:\mathrm{hours}.

Therefore, his average speed during the entire trip is:

S=\frac{70}{1.5}=\fbox{$46\frac{2}{3}\:\mathrm{km/h}$}.

Ilia_Sergeevich [38]3 years ago
3 0

Answer:

50km/h.

Step-by-step explanation:

70  km \:  {5}^{2}

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Write 2/4 in simplest form
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two parallel lines are graphed on a coordinate plane.how many of the lines could represent proportional relationship?Explain.
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It's not necessary that either one represents a proportional
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7 0
3 years ago
Read 2 more answers
A swim team is divided into age groups: Guppies, stingrays, and sharks. There are 20 swimmers in the Stingray group. If we rando
ivanzaharov [21]

If you choose 10 swimmers and 4 are Stingrays, you can say that Stingrays make up roughly 40% of the swimmers. If 20 Stingrays make up 40% of all the swimmers, we just have to find what number 20 is 40% of. That’s easy enough by cross multiplication:

20/x = 40/100

20/x = 4/10

20/x = 2/5

x = 50.

Double check by multiplying 50 * 0.4. Since 50 * 0.4 = 20, we know we have the right answer. There are about 50 swimmers on this team.

5 0
3 years ago
Phyllis invested 50000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7
Elodia [21]

Answer:

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x-----> the amount invested at 5%

50,000-x -----> the amount invested at 7%

so

t=1\ year\\ I=\$2,720\\r_1=0.05\\r_2=0.07\\P_1=\$x\\P_2=\$(50,000-x)

substitute in the formula above

2,720=x(0.05*1)+(50,000-x)(0.07*1)

solve for x

2,720=0.05x+3,500-0.07x

0.07x-0.05x=3,500-2,720\\0.02x=780\\x=\$39,000

(50,000-x)=\$11,000

therefore

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

5 0
4 years ago
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