All categories

4 years ago

Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.

2 answers:

7 0

8/15 - (-2/3)
Its like adding them when its -(-#), so we turn it into 8/15 + 2/3
Now we make each fraction have the same denominator; 8/15 + 10/15
Now we solve by adding; 18/15 = 1 1/5

Oxana [17]4 years ago

4 0

Answer:

1 1/5

Step-by-step explanation:

LCD = 15

8/15 + 2*5/3*5

8/15+10/15

8+10/15

18/15

6/5

1 1/5

You might be interested in

17/36 in simplest form.

mixer [17]

It is in the simplest form

4 0

3 years ago

Read 2 more answers

Mika and her two best friends are all dressing up as superheroes for Halloween this year. Their costumes are almost ready, but e

Sever21 [200]

Answer:

4yards

Step-by-step explanation:

4ft×3=12ft

1yrd=3ft

12ft÷3ft=4yards

6 0

3 years ago

Please help!! Solve the system using an augmented matrix. Show all work

marishachu [46]

Answer:

The solution of the system is: $x=2, y=5$

Step-by-step explanation:

The given system of equations is.......

$-x-3y=-17\\ \\ 2x-6y=-26$

So, the augmented matrix will be: $\left[\begin{array}{cccc}-1&-3&|&-17\\2&-6&|&-26\\\end{array}\right]$

Now, we will transform the augmented matrix to the reduced row echelon form using row operations.

Row operation 1 : Multiply the 1st row by -1. So..........

$\left[\begin{array}{cccc}1&3&|&17\\2&-6&|&-26\\\end{array}\right]$

Row operation 2: Add -2 times the 1st row to the 2nd row. So.......

$\left[\begin{array}{cccc}1&3&|&17\\0&-12&|&-60\\\end{array}\right]$

Row operation 3: Multiply the 2nd row by $-\frac{1}{12}$ . So.......

$\left[\begin{array}{cccc}1&3&|&17\\0&1&|&5\\\end{array}\right]$

Row operation 4: Add -3 times the 2nd row to the 1st row. So........

$\left[\begin{array}{cccc}1&0&|&2\\0&1&|&5\\\end{array}\right]$

Now, from this reduced row echelon form of the augmented matrix, we can get that $x=2$ and $y=5$

So, the solution of the system is: $x=2, y=5$

8 0

3 years ago

you are dealt one card from a standard 52 card deck. find the probability of being dealt a card greater than 2 and less than 8

Mnenie [13.5K]

The given range is comprised of cards with a value between 3 and 7, inclusive, and there are 4 of each from the available suits. So there are 20 cards that fit the bill.

The probability of drawing 1 such card is

$\dfrac{\binom{20}1}{\binom{52}1}=\dfrac{20}{52}=\dfrac5{13}$

8 0

3 years ago

A city is approximately circular with a radius of 10.6 miles. Approximately 90,000 people live there. What is the population den

Harman [31]

Answer:

513 people per square mile

Step-by-step explanation:

because

6 0

3 years ago