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3 years ago

A babysitter made $20 for 4 hours one week, $36 in 6 hours the following week. Are the earnings equivalent?

Mathematics

1 answer:

Zinaida [17]3 years ago

6 0

Answer:

No.

First week she made $5 an hour.

Following week she made $6 an hour.

Step-by-step explanation:

All we need to do is figure out how many dollars per hour she made. To do this we divide the amount she made, by the amount of hours she worked.

So:

20 ÷ 4 = 5

36 ÷ 6 = 6.

So no, she earned $1 more the following/2nd week.

<u>Hope this helps and have a nice day!</u>

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Is the quotient of 3/5 ÷ 6/7 greater than or less than 3/5? Explain

Vikki [24]

The quotient of two fraction is the multiplication between the first and the inverse of the second:

$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}$

So, in your case, you have

$\dfrac{3}{5} \div \dfrac{6}{7} = \dfrac{3}{5} \cdot \dfrac{7}{6} = \dfrac{7}{10}$

So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:

$\dfrac{3}{5} = \dfrac{3\cdot 2}{5 \cdot 2} = \dfrac{6}{10}$

So, now it is clear that

$\dfrac{7}{10} > \dfrac{6}{10}$

3 0

3 years ago

Read 2 more answers

Solve the following inequality -6 > - 3c

Inessa05 [86]

Dividing both sides by-3
the division sign will still be the same
your answer is c>2

4 0

4 years ago

Which of the following is the equation of a circle with a radius of 10 cm and center at (–3, 6)?

Volgvan

The equation of the circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have:

$r=10\\(-3,\ 6)\to h=-3,\ k=6$

Substitute:

$(x-(-3))^2+(y-6)^2=10^2\\\\(x+3)^2+(y-6)^2=100$

4 0

3 years ago

Eight people enter a tennis tournament which each person must play every other person exactly once Determine the number of games

LiRa [457]

Answer:

The answer is 28. Hope it helps :D

7 0

3 years ago

In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find

andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 14 citizens

r = number of success = exactly 5

p = probability of success which in our question is % of the community

favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ $Binom(n=14, p=0.60)$

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

P(X = 5) = $\binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}$

= $2002 \times 0.60^{5} \times 0.40^{9}$

= 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0

3 years ago