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ehidna [41]
2 years ago
8

3 With 72 million bicycles, correct to the

Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0

Answer:

  181 million km

Step-by-step explanation:

"Correct to the nearest unit" means the actual value might be 1/2 unit larger (or smaller) than the reported value.

The upper bound would be the product of the maximum number of bicycles and the maximum distance each travels:

  (72.5 · 10^6 bicycles)(2.5 km/bicycle) = 181.25 · 10^6 km

__

Since the given numbers are good to 2 significant figures (or so), we might reasonably put the upper bound as 180·10^6 km.

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CL 6-131. Solve each system using the method of your choice.
shepuryov [24]

System 1: The solution is (x, y) = (-4, 5)

System 2:  The solution is (x, y) = (\frac{11}{3}, -3)

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

2x + 3y = 7 ------ eqn 1

-3x - 5y = -13 --------- eqn 2

We can solve by elimination method

Multiply eqn 1 by 3

6x + 9y = 21 ------ eqn 3

Multiply eqn 2 by 2

-6x - 10y = -26 ------- eqn 4

Add eqn 3 and eqn 4

6x + 9y -6x - 10y = 21 - 26

-y = -5

y = 5

Substitute y = 5 in eqn 1

2x + 3(5) = 7

2x + 15 = 7

2x = -8

x = -4

Thus the solution is (x, y) = (-4, 5)

<h3><em><u>Second system of equation is:</u></em></h3>

8 - y = 3x ------ eqn 1

2y + 3x = 5 ----- eqn 2

We can solve by susbtitution method

From given,

y = 8 - 3x ----- eqn 3

Substitute eqn 3 in eqn 2

2(8 - 3x) + 3x = 5

16 - 6x + 3x = 5

3x = 16 - 5

3x = 11

x = \frac{11}{3}

Substitute the above value of x in eqn 3

y = 8 - 3x

y = 8 - 3 \times \frac{11}{3}\\\\y = 8 - 11\\\\y = -3

Thus the solution is (x, y) = (\frac{11}{3}, -3)

4 0
2 years ago
What is the multiplicative rate of change of the function? One-fifth Two-fifths 2 5
nlexa [21]

Answer:

A on edge

Step-by-step explanation:

i just took the quiz

4 0
2 years ago
Read 2 more answers
197 people ride the bus in the morning. 10 less than 84 people ride the bus in the evening. How many people ride the bus in all?
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

128

7 0
2 years ago
Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 p
dimulka [17.4K]

Answer:

P(X 0.9619

Step-by-step explanation:

From the given information;

the probability of getting returned p = 0.1

If eight rings are sold today, what is the probability that fewer than three will be returned;

According to binomial distribution

Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.

So , using binomial distribution to determine the probability that fewer than three will be returned;

i.e

P(X \sum_{x=0}^{2}\binom{8}{x}(0.1)^{x}(1-0.1)^{8-x}

P(X 0.9619

8 0
2 years ago
Eliza brought 3 pans of homemade fruit bars to school. Her classmates ate 7/12 of each pan. Eliza gave 1 whole pan of the leftov
-BARSIC- [3]
To solve this, you have to take 7/12 out of each pan first, so how to do that is to divide each pan into 1/12. So you did that, and all three pans equal 36/12. Great. Eliza has 36/12 fruit bars. 
Now, you see that the classmates at 7/12 out of EACH. To find that out, you just multiply 7/12 by 3 which is 21/12. Subtract 21/12 from 36/12 since the classmates ate 21/12 out of the total and you get 15/12.
Now she gave 1 pan to the secretaries, which is 12/12, so you subtract that from the 15/12 you have left over. That's 3/12.

And she brought 3/12 home. You can simplify that into 1/4.
3 0
2 years ago
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