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3 years ago

Mindy has a bag of coins. The bag contains 8 dimes, 5 nickels, and 3 pennies. She

Mathematics

1 answer:

Anastasy [175]3 years ago

8 0

Answer:

1/6

Step-by-step explanation:

The probability of the dime being pulled first is 8/16 or 1/2

After the dime is pulled, the probability of the nickel being pulled is 5/15 or 1/3

Multiply 1/2 and 1/3 to get 1/6

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Which ordered pair is a solution to the system of linear equations One-half x minus three-fourths y = StartFraction 11 Over 60 E

s344n2d4d5 [400]

Answer:

$\left(\dfrac{2}{3},\dfrac{1}{5}\right)$

Step-by-step explanation:

Given the system of two equations:

$\left\{\begin{array}{l}\dfrac{1}{2}x-\dfrac{3}{4}y=\dfrac{11}{60}\\ \\\dfrac{2}{5}x+\dfrac{1}{6}y=\dfrac{3}{10}\end{array}\right.$

Multiply the first equation and the second equation by 60 to get rid of fractions:

$\left\{\begin{array}{l}30x-45y=11\\ \\24x+10y=18\end{array}\right.$

Now multiply the first equation by 4 and the second equation by 5:

$\left\{\begin{array}{l}120x-180y=44\\ \\120x+50y=90\end{array}\right.$

Subtract them:

$(120x-180y)-(120x+50y)=44-90\\ \\120x-180y-120x-50y=-46\\ \\-230y=-46\\ \\y=\dfrac{46}{230}=\dfrac{1}{5}$

Substitute it into the first equation:

$30x-45\cdot \dfrac{1}{5}=11\\ \\30x-9=11\\ \\30x=11+9\\ \\30x=20\\ \\x=\dfrac{2}{3}$

The solution is $\left(\dfrac{2}{3},\dfrac{1}{5}\right)$

4 0

2 years ago

Read 2 more answers

Michael owns a small business selling clothing. He knows that in the last week 39 customers paid cash, 30 customers used a debit

irina1246 [14]

Answer:

0.03

Step-by-step explanation:

7 0

2 years ago

there are 1,392 chairs in the auditorium. the seats are arranged 29 in each row. How many rows of 29 seats are there?

scoray [572]

There are 48 rows in the auditorium

7 0

2 years ago

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A car wash detailed 256 cars in 8 hours. At what rate did the car wash detail

Minchanka [31]

32 cars per hour. If you do 256 divided by 8 you get 32.

Hope this helped!

4 0

3 years ago

PLEASE HELP ME I NEED THIS DONE TODAY PLEASE HELP I KNOW NO ONE WILL BUT IT'S 7TH GRADE MATH PLEASE HELP

Andrei [34K]

Answer:

Overall answer: 10 1/9 - 1 5/18x (Most simplified answer)

Step-by-step explanation:

First you have to do all the Distributive property which the answer would be:

2 1/2 - 1/2x + 3 1/9 + 8/9x + 1/6x - 5/18x + 2 14/18 + 1 13/18

Then you have to find the common demoninator which would be 18

After that you have to put them in the correct order since there is two different terms which would be:

2 9/18 + 3 2/18 + 2 14/18 + 1 13/18 - 9/18x + 16/18x + 3/18x - 5/18x

After that you solve the problem which in the end after solving both terms it ends up as..:

10 2/18 - 1 5/18x

and I think that is as simplified as you can go term wise.

I hope this helps and I hope I didn't make a mistake :D

6 0

3 years ago