Answer:
10 hours
Step-by-step explanation:
ok so we know he is getting payed $20 + $7 every hour so what i would do is keep the multiply the 7 till you get 70 so thats 7x10=70 and 70+20=90 so he worked for 10 hours last week :) i hope this helps, i tried my best to explain it
Answer:
Fraction: 33/100, decimal: 0.33
Step-by-step explanation:
The question is basically asking how to convert 33% into a fraction and a decimal. To convert a percentage into a fraction place it over 100.
33% --> 33/100; this cannot be simplified further.
To convert a percentage into a decimal move the decimal point two places to the left.
33% --> 0.33
Answer:
See proof below.
Step-by-step explanation:
True
For this case we need to use the following theorem "If 
are eigenvectors of an nxn matrix A and the associated eigenvalues 
are distinct, then 
are linearly independent". Now we can proof the statement like this:
Proof
Let A a nxn matrix and we can assume that A has n distinct real eingenvalues let's say 
From definition of eigenvector for each one 
needs to have associated an eigenvector 
for 
And using the theorem from before , the n eigenvectors 
are linearly independent since the 
are distinct so then we ensure that A is diagonalizable.
Answer:
I think that the answer is either B or C
Step-by-step explanation:
I concluded to this answer simply by looking at where the lines were placed.
Remember that if a line is not touching, but next to another line, they are parallel to each other? Well, that doesn't change here. since, {m angle 1} and {m angle 2} added together equal 180, I would believe that the answer is C, but I may be wrong.
Well, I hope that helps :)
Answer:
x = -5
y = 2
Step-by-step explanation:
3x + 4y = -7 -------eqn 1
-3x - 8y = -1 ------eqn 2
First, let's take eqn 1, to find the value of y
3x + 4y = -7
Make y the subject of the formula
4y = -7 - 3x
Divide both sides by 4, to get y
4y/4 = -7 - 3x / 4
y = (-7 - 3x) / 4
Substitute y into eqn 2
-3x - 8y = -1
-3x - 8(-7 - 3x) / 4 = -1
Open the bracket with -8
-3x + (56 + 24x )/ 4 = -1
LCM = 4
(-12x + 56 + 24x) / 4 = -1
(-12x + 24x + 56) / 4 = -1
(12x + 56)/4 = -1
Cross multiply
12x + 56 = -4
12x = -4 -56
12x = - 60
Divide both sides by 12 , the get the exact value of x.
12x/12 = -60/12
x = - 5
Insert the value of x = -5 into the equation 1
3x + 4y = -7
3(-5) + 4y = -7
-15 + 4y = -7
4y = -7 + 15
4y = 8
Divide both sides by 4
4y/ 4 = 8/4
y = 2
Hint, to confirm if the values are correct
Pick any of the two eqns
Let's pick eqn 2.
-3x - 8y = -7
x = -5
y = 2
-3(-5) - 8(2) =
= 15 - 16
= -1
So therefore, our values are correct
