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ioda
3 years ago
8

Sara ran 10km in 2.5 hours. Katerina ran 7.5 km in 2 hours. Candice ran 9.5 km in 2.25 hours. Who had the fastest average speed?

Justify your answer.
Mathematics
1 answer:
Arisa [49]3 years ago
6 0

10 km ÷ 2.5 hours = 4 km/h — This is Sara's record

7.5 km ÷ 2 hours = 3.75 km/h — This is Katerina's record

9.5 km ÷ 2.25 hours = 4.2 km/h — This is Candice's record

Therefore, the answer is Candice had the fastest average speed.

You might be interested in
The opposite process rule says to solve for ________. a known variable by replicating the process used to form the original equa
ioda

Answer:

An unknown variable by reversing the process used to form the original equation.

Step-by-step explanation:

The opposite process rule says to solve for - an unknown variable by reversing the process used to form the original equation.

If an equation indicates an operation such as addition, subtraction, multiplication, or division, solve for the unknown variable by using the opposite process.

For example:

Lets say we have to find x+25=35

Here 25 is subtracted from both sides of the equation to isolate x.

x+25-25=35-25

we get x = 10

Check this : 10+25=35

4 0
2 years ago
Chen kept track of how many baskets were made in a basketball game. After 6 minutes, 5 baskets were made. How long did it take u
Mekhanik [1.2K]

Answer:

Assuming the same pace was kept, it would take 9.6 minutes.

Step-by-step explanation:

We can find this by setting up a proportion and then cross multiplying.

5 baskets/6 mins = 8 baskets/x mins

5 * x = 6 * 8

5x = 48

x = 9.6

5 0
3 years ago
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Is the following relation a function?
siniylev [52]
No because every x value has to have only one y value. In the relation, 2 has two y values: 1 and -3.
6 0
3 years ago
HELP ASAP?!?!?!? QUADRATIC REGRESSION MODELS
CaHeK987 [17]

Answer:

4.87138

Step-by-step explanation:

i think

4 0
3 years ago
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