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4 years ago

8

Make a conjecture about the next item in the sequence. 6, 9, 7, 10, 8

1 answer:

ozzi4 years ago

3 0

Answer:

6,9,7,10,8,11..

Step-by-step explanation:

If you notice that in the given sequence 6, 9, 7, 10, 8 the first element is 6 and then 3 is added in 6 to make it 9. Then 2 is subtracted from 9 which makes it 7 and then again 3 is added in 7 which makes it 10. After that again 2 is subtracted from 10 to make it 8. Now by following this method now we will add 3 in 8 which will give us the next item which is 11.

Thus the sequence we get is:

6,9,7,10,8,11...

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1/4y + 1 1/2 + 2 − 1 3/4y − 12 = ?

pantera1 [17]

Brung like terms together:-
1/4 y - 1 3/4 y + 11/2 + 2 - 12
= - 1 1/2 y + 11/2 - 10
= - 1 1/2y - 9/2

8 0

3 years ago

Read 2 more answers

Ana can finish a certain job in 10 hours. Together, Ana and Nina can finish the same job in 3 hours. How many hours can Nina fin

Over [174]

Answer: 4.5 hours

<u>Step-by-step explanation:</u>

$Ana: \dfrac{1}{10}\ \text{job per hour}\\\\Nina: \dfrac{1}{x}\ \text{job per hour}\\\\Together: \dfrac{1}{3}\ \text{job per hour}\\\\\\Ana + Nina = Together\\\dfrac{1}{10}\quad +\dfrac{1}{x}\quad =\quad \dfrac{1}{3}\\\\\\\dfrac{1}{10}(30x)+\dfrac{1}{x}(30x) =\dfrac{1}{3}(30x)\\\\\\\rightarrow\quad 3x+30=10x\\\\.\quad 3x+30=10x\\\underline{-3x\qquad \quad -3x\quad}\\.\qquad \quad 30=7x\\\\.\qquad \quad \dfrac{30}{7}=\dfrac{7x}{7}\\\\\\.\qquad \quad \dfrac{30}{7}=x$

$.\qquad \quad 4.5=x$

5 0

3 years ago

I need the answers to this question

erastovalidia [21]

Answer: <u>Madison can travel 2.2 miles less than Anthony on one gallon of gas.</u>

Step-by-step explanation:

The equation y = 39.1 $x$ represents the number of miles, $y$ , that madison can drive her car for every x gallons of gas.

Question: Madison can travel _ miles _ than Anthony on one gallon of gas.

Lets find how much Madison travels on 1 gallon of gas.

39.1(1) = 39.1

Therefore, Madison travels 39.1 miles on one gallon of gas.

Now lets solve for Anthony

Anthony travels 380.7 miles on 9 gallons of gas.

Therefore we can set up the equation:

9x = 380.7 to show that 9 gallons equates to 380.7 miles

to solve divide 9 from both sides

$\frac{9x}{9} =\frac{380.7}{9}$

x = 41.3

So, Anthony travels 41.3 miles on one gallon of gas

Now find whether Madison travels more or less than Anthony on one gallon.

39.1 - 41.3 = -2.2

This means that Anthony can travel 2.2 miles more than Madison.

For your answer, this means that:

<u>Madison can travel 2.2 miles less than Anthony on one gallon of gas</u>

<u></u>

<em>Hope this helped and have a nice day :)</em>

3 0

2 years ago

(GIVING EXTRA POINTS ON THIS ONE!! IM ALSO GIVING AWAY BRAINLIEST TO WHO EVER HELPS ME OUT :D)

nasty-shy [4]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili

Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

$\lambda= 4.5$

Formula:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

a) No accidents occur in one week.

$P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111$

b) 5 or more accidents occur in a week.

$P( x \geq 5) = 1-\displaystyle \sum P(x$

c) One accident occurs today.

The mean number of accidents per day is given by

$\lambda = \dfrac{4.5}{7} = 0.64$

$P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747$

5 0

3 years ago