All categories

3 years ago

Solve for y.

Mathematics

1 answer:

k0ka [10]3 years ago

3 0

Answer:

y = $\frac{2}{9}$

Step-by-step explanation:

multiply $\frac{2}{3}$ by $\frac{3}{3}$ to get $\frac{6}{9}$ :

$\frac{6}{9}$ + y - $\frac{1}{9}$ = $\frac{7}{9}$

simplify:

y + $\frac{5}{9}$ = $\frac{7}{9}$

subract $\frac{5}{9}$ from both sides:

y = $\frac{2}{9}$

You might be interested in

.0000458 put this in scientific notation

amm1812

4.58 x 10^-5

hope I helped

3 0

3 years ago

Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are

schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

$S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36$

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

$z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012$

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

$E=\#weeks*P(S>120)=52*0.09012=4.68$

The nearest answer is C. 5 weeks.

6 0

3 years ago

Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225

Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

$m=100\ pages/hour$

$b=225\ pages$

$y=-100x+225$ ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

$0=-100x+225$

$100x=225$

$x=2.25\ hours$ ---> Xanthia's time to finish reading the book

<em>Molly</em>

$m=50\ pages/hour$

$b=225\ pages$

$y=-50x+225$ ----> the slope is negative because is a decreasing function

For y=0

$0=-50x+225$

$50x=225$

$x=4.5\ hours$ --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

$4.5\ h-2.25\ h=2.25\ h$

Convert to minutes

Multiply by 60

$2.25\ h=2.25(60)=135\ minutes$

4 0

3 years ago

Read 2 more answers

Which table represents la linear function?

lions [1.4K]

Answer:

I believe it would be the last table.

Step-by-step explanation:

A linear function has an equation of y=Mx+b where y and x are the variables but m (the slope) and b are constants. The slope for the last table is -8 as the y values are decreasing by 8 every time you move forward one in the x axis. None of the other tables have a constant slope which means they don’t have straight lines when you graph them. Therefore, the last table would have to be the only one representing a linear function

3 0

3 years ago

The points plotted below are on the graph of a polynomial. Some of the roots to this polynomial are integers. Which of the follo

Vikki [24]

The only root is -2. The roots are where the function goes through the x-axis. This polynomial goes through in lots of places, but the only answer that matches is -2

8 0

3 years ago