What is 1,357 times 2

Usimov [2.4K]

the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12

the probability that a crayon from the second box is selected
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4

7 0

3 years ago

Please Help!!

Mrrafil [7]

Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can.
If they join to work together they can complete the job in 3 hours. 
1/x + 1/(x - 8) = 1/3 
3(x - 8) + 3x = x(x - 8) 
x^2 - 14x + 24 = 0 
(x - 12)(x - 2) = 0 
Solutions: 
x = 2 
x = 12 
Jimmy can complete the job on his own in 12 hours.

6 0

3 years ago

In the figure, which angle has the same measure as Z2? A. 21 B. 23 C. 24 D. 25

k0ka [10]

Answer:

I think it is D

Step-by-step explanation:

4 0

2 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

x = 2
y = -1

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation: