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3 years ago

6th grade math please help because my grade went down.. and ion got time to be

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

Answer:

first you subtract 5 from both sides

your left with 3x=11

divide by 3 on both sides

x=3.666 repeating

Step-by-step explanation:

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Ava has $110 in her piggy bank and spends $5 a week. Liam has $20 in his piggy bank and does chores to earn an extra $4 a week.

jarptica [38.1K]

Answer:

Ava and Liam have the same amount of money at 10th week.

Step-by-step explanation:

Given:

Amount Ava has in her piggy bank = $110

Amount spends per week = $5

Let the number of weeks be 'w'.

So we can say that.

Total amount Ava had after 'w' weeks = $110-5w$

Also Given:

Amount Liam has in her piggy bank = $20

Amount earns per week = $4

Let the number of weeks be 'w'.

So we can say that.

Total amount Liam had after 'w' weeks = $20+4w$

Now we need to find the number of weeks when both will have same amount.

So we can say that;

Total amount Ava had after 'w' weeks =Total amount Liam had after 'w' weeks

$110-5w=20+4w$

Combining like terms we get;

$110-20=5w+4w\\\\90=9w$

Dividing both side by 9 we get;

$\frac{90}{9}=\frac{9w}{9}\\\\w=10\ weeks$

Hence Ava and Liam have the same amount of money at 10th week.

8 0

4 years ago

Two cars leave towns 800 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hou

adell [148]

Wait what grade is this in also what class is this

7 0

3 years ago

Create an equation for a line that contains<br> 3<br> the point (2, 2) and has slope m = 2

Elina [12.6K]

Answer:

y=2x-2

Step-by-step explanation:

We already know the slope so now we need to find the y-intercept.

See attached file.

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4 years ago

Hey ya'll im the most happy man ever like.........we both know thats a lie.

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no one is truly happy

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3 years ago

The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th

ankoles [38]

We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

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

$z=\frac{38-38}{6}=\frac{0}{6}=0$

Now we will find z-score corresponding to 56.

$z=\frac{56-38}{6}=\frac{18}{6}=3$

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is $-3\sigma\text{ to }3\sigma$ .

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

$\frac{99.7\%}{2}=49.85\%$

Therefore, approximately $49.85\%$ of lightbulb replacement requests numbering between 38 and 56.

6 0

3 years ago