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Triss [41]
3 years ago
9

Lara and Tim took different routes to travel from Point A to Point C. Lara took the route along A, B, and C. Tim took the route

along A, E, D, and C. Their routes with distances and times are shown.
Which person's average speed is greater?

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

Answer:

Tim is a shorter route lara is greater!

Step-by-step explanation:

Nitella [24]3 years ago
5 0

Answer: Tim's average speed is greater

====================================================

Explanation:

Lara traveled a total distance of

AB+BC = (6 miles)+(2 miles) = 8 miles

and did so in

(1.5 hours)+(1 hour) = 2.5 hours

Plug those values into the formula

r = d/t

and we get

r = (8 miles)/(2.5 hours)

r = (8/2.5) mph

r = 3.2 mph

Lara's average speed is 3.2 mph

---------------------------------------

We'll follow the same steps for Tim as well

total distance = AE+ED+DC

total distance = (2 mi)+(4 mi)+(6 mi)

total distance = 12 miles

total time = (0.5 hr)+(1.5 hr)+(1.5 hr)

total time = 3.5 hours

rate = distance/time

r = d/t

r = (12 miles)/(3.5 hours)

r = (12/3.5) mph

r = 3.42857 mph approximately

Tim's average speed is roughly 3.42857 mph. We see that he has the greater average speed.

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If Katie had 16 pencils how many pencils does Maggie gives to jamal
katrin2010 [14]

Answer:

There isn't enough information to answer this question.

5 0
3 years ago
Jodie spent 25% less buying her English reading books thank Claudia. .Gianna spent 9% less than Claudia. Gianna spent more than
Vikki [24]

Answer:

21.3%

Step-by-step explanation:

Given that:

Money spent by Jodie for buying English reading books = 25% lesser than that of Claudia

and

Money spent by Gianna is 9% lesser than that of Claudia.

To find:

By what percent, Gianna spent more than Jodie ?

Solution:

Let the money spent by Claudia on her English books = 100

Now, as per question statement:

Money spent by Jodie = 100 - \frac{9}{100}\times 100 = 75

Money spent by Gianna = 100 - \frac{25}{100}\times 100 = 91

Now, to find the answer:

\dfrac{\text{Difference between money spent by Gianna and Jodie}}{\text{Money spent by Jodie}}\times 100

\Rightarrow \dfrac{91-75}{75}\times 100\\\Rightarrow \dfrac{16}{75}\times 100\\\Rightarrow \bold{21.3\%}

Therefore, Gianna spent <em>21.3% </em>more than the amount that was spent by Jodie.

4 0
3 years ago
Two 6-sided dice are tossed simultaneously. what is the probability of the total being equal to 9?
prohojiy [21]
Total number of outcomes = 36

Number of outcomes with total being 9 = 4
(6, 3) (5,4), (4, 5) (3, 6)

P(equal to 9) = 4/36 = 1/9

Answer: 1/9 (Answer A)
3 0
3 years ago
Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
You select a card at random from the cards that make up the word "replacement". Without replacing the card, you choose a second
lutik1710 [3]

Answer:

The probability is 14/55

Step-by-step explanation:

The word replacement contains 11 letters.

In which 4 letters are vowel = e,a,e,e

And 7 letters are not vowel = r,p,l,c,m,n,t

The probability of getting the vowel in the first try = 4/11

The probability of getting something that is not a vowel = 7/10.

The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.

Multiply the values:

=4/11 * 7/10

=28/110

=14/55

The probability is 14/55....

5 0
2 years ago
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