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Alex_Xolod [135]
3 years ago
6

Two students walk in the same direction along a straight path, at a constant speed - one at .90 m/s and the other at 1.90 m/s.a.

) assuming that they start at the same point ant the same time, how much sooner does the faster arrive at a destination 780 m away?b.) how far would the students have to walk so that the faster student arrives 5.50 min before the slower student?
Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

Answer:

a)The second student arrive 7 minutes and 36 seconds sooner

b)They have to walk 598,51 m

Step-by-step explanation:

Speed= Distance/Time

We are looking for time now

Time = Distance/Speed

First student

Time = 780 m/0.90 m/s=866,66 seconds

Second student

Time = 780 m/1.90 m/s=410,52 seconds

Difference=866,66-410,52= 456,14 seconds

In minutes

Difference= 456,14 seconds /60=7 minutes 36 seconds

Distance=Speed x Time

Speed¹ x Time¹ =Speed² x Time²

Time¹= Time² + 5.50 min

5.50 min =350 seconds

Time²  =Speed¹ x Time¹ /Speed²

Time²  =Speed¹ x (Time² + 350 seconds  ) /Speed²

Time²  =0.9 x (Time² + 350 seconds  ) /1.9

Time²  =0,4737 x (Time² + 350 seconds  )

Time²  =0,4737 Time² + 165,79 seconds

Time²  - 0,4737 Time² = 165,79 seconds

0,5263 Time² = 165,79 seconds

Time² = 165,79 seconds/0,5263 =315,01 seconds

Distance=1,9 x 315,01 seconds = 598,51 m

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2 years ago
Murphy loves pistachio nuts. Every saturday morning, she walks to the market and buy some. Last week, she bought two pounds and
Alexxx [7]

Question is Incomplete, Complete question is given below,

Murphy loves pistachio nuts. Every Saturday morning, she walks to the market and buys some. Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What the unit rate for pistachio nuts?

Answer:

The unit rate for pistachio nuts is $3.98.

Step-by-step explanation:

Given;

Price of 2 pounds of pistachio nuts = $7.96

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = \frac{\$7.96}{2} = \$3.98

Also given:

Price of half pound of pistachio nuts = $1.99

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = \$1.99\times 2 = \$3.98

Hence, The unit rate for pistachio nuts is $3.98

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3 years ago
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3 years ago
Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot
Lady_Fox [76]
In order to solve this problem, you need to use a geometric series:
S_{n} =  \frac{ a_{1}(1 - r^{n}) }{1 - r}
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
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= 219783.60 $

Luke's total earnings in five years are <span>219783.60 $.</span>

</span>
6 0
3 years ago
Need to find the missing length and round to nearest tenth. I'm a bit confused.
astraxan [27]

ANSWER

15.9

EXPLANATION

Given:

A right-triangle with two sides and an angle

Desired Outcome:

The value of x

Apply the SOH CAH TOA rule

\begin{gathered} tan\theta=\frac{x}{34} \\ x=34\times0.4663 \\ x=15.8544 \end{gathered}

Hence, the value of x is 15.9 (rounded to the nearest tenth).

5 0
1 year ago
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