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Len [333]
3 years ago
13

How do you find y? ∣3y−1∣+∣2y+3∣>5

Mathematics
1 answer:
Alexandra [31]3 years ago
5 0
Let's solve your inequality step-by-step.

<span><span><span><span><span>3y</span>−1</span>+<span>2y</span></span>+3</span>>5

</span>Step 1: Simplify both sides of the inequality.<span><span><span>5y</span>+2</span>>5

</span>Step 2: Subtract 2 from both sides.<span><span><span><span>
5y</span>+2</span>−2</span>><span>5−2</span></span><span><span>
5y</span>>3</span>
Step 3: Divide both sides by 5.<span><span><span>
5y/</span>5</span>><span>3/5</span></span><span>
y><span>3/<span>5

hopefully this helps and here's a link that i used to use a lot in middle school 
https://www.symbolab.com/solver/solve-for-equation-calculator
</span></span></span>
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Ms. Thomas took her family and friend to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets
Korolek [52]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

 x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

5 0
3 years ago
Use the words "ten times" to compare the number of children who have a dog 36,580 with the number of children who have a rabbit
ElenaW [278]
The number of children who have dogs is ten times more than the number of children who have a rabbit.
8 0
3 years ago
Read 2 more answers
Several years​ ago, 38​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
Colt1911 [192]

Answer:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values are:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The estimated proportion of people satisfied with the quality of education the students receive is given by:

\hat p =\frac{499}{1165}= 0.428

The confidence interval for the proportion if interest is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And replacing the info given we got:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

8 0
3 years ago
Find the distance between the points given.<br><br> (-3, 2) and (9, -3)<br><br> √(61)<br><br> √(37)
cricket20 [7]

Answer:

d=13.

Step-by-step explanation:

d=\sqrt{(x_{2}-x_{1} ) ^{2} +(y_{2}-y_{1} ) ^{2}}

From question statement, x_{1} =-3   ,x_{2} =9

y_{1} =2  ,y_{2} =-3

put above values in the distance formula,we obtain

d=\sqrt{(9-(-3))^{2}+(-3-2)^{2}}

d=\sqrt{(12)^{2}+(-5)^{2}}

d=\sqrt{144+25}

d=\sqrt{169}

d=13


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In a class of 20 students 3/5 are boys. If 4 more boys join the class, what fraction of the class are boys now?
cupoosta [38]

if 4 more boiiz join the class it will be 2/5

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