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2 years ago

If b is two more than one third of c, which of the following expresses the value of c in terms of b

Mathematics

2 answers:

Lunna [17]2 years ago

8 0

b = 2 + 1/3c

Multiply everything by 3

3b = 6 + c

Subtract 6

3b - 6 = c

Let's fill in the original equation to see if we're right.

b = 2 + 1/3c

4 = 2 + 1/3(6)

Now we'll use 4 and 6 for the new equation.

3b - 6 = c

3(4) - 6 = 6

12 - 6 = 6

And that's it! Your answer is 3b - 6 = c

MariettaO [177]2 years ago

5 0

Answer is 3b - 6 = c hope this helps!

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An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach

Alik [6]

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

1st 2nd 3rd 4th 5th 6th week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

3 0

2 years ago

A study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. It was fo

borishaifa [10]

Answer:

a) $P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

b) $P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(7.37,1.25)$

Where $\mu=7.37$ and $\sigma=1.25$

We are interested on this probability

$P(5$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

Part b

For this case we want this probability:

$P(X>6)$

And we can use the z score and we got:

$P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

8 0

2 years ago

Jose ran13 mile in 3 minutes and 15 seconds. Calculate Jose's rate in minutes per mile; in other words, the time that it would t

Alexus [3.1K]

Answer:

1 mile = 15 seconds

Step-by-step explanation:

3 minutes and 15 seconds = 3 min + 15 sec

1 minute = 60 seconds

15 seconds =15/60 = 0,25 min

then

3minutes and 15 seconds = 3.25 minutes

13miles in 3 minutes and 15 seconds

= 13 miles / 3.25 minutes

= 4 miles / 1 minute

every minute Jose ran 4 miles

then:

4 miles is a 1 minute

1 mile is a T minutes

T = 1*1/4

T = 1/4 minute

1 minute = 60 secomds

1/4 minute = 60*1/4 = 60/4 = 15 seconds

7 0

2 years ago

Read 2 more answers

Zhi bought 18 tickets for games at a fair. Each game requires 3 tickets. Zhi wrote the expression 18 – 3g to find the number of

marysya [2.9K]

Answer:

Equation 1

18 represents the number of tickets Zhi starts with. -3 is how many tickets each game uses, G is the amount of games played.

Equation 2

This equation is just equation 1 in factored form, 3 times 6= 18 and -g times 3= -3g. All of the parts are the same from the first equation.

Hope this helps some!!

4 0

2 years ago

The concession stand at the football game sell cans of soda for $0.75 and bottles of water for $1.25.you have $10.00 write an in

yawa3891 [41]

You can buy 5 of both

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2 years ago