The equation of direct variation is,
Substitute the values of <em>y</em> and <em>x</em>.
So, the obtained equation will be <em>y</em>=1.35(x).
Let's check with the values of <em>x</em>.
1) If <em>x</em>=4
2) If <em>x</em>=2
3) If <em>x</em>=-2
First, convert the 25% to a real mathematical number. For percents, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.
Second, find out what 25% of $100 is. This is the amount of the sale discount. This is always found by mulitplying 0.250 by the item's cost $100, like this:
0.250 x $100 = $25.00.
So for this sale, you'll save $25.00 on this item.
This means, the cost of the item to you is
$100 - $25.00 = $75.00.
Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).
Now what's 75.000% of the total cost?
0.750 x $100 = $75.00.
Just like the result above, the sale price on the item is $75.00.
Hope this helps you on your assignment! :)
Answer:
48
Step-by-step explanation:
u • w
= (i + 6j ) • (9i - 2j )
= (1 × 9 ) + (6 × - 2 )
= 9 + (- 12)
= 9 - 12
= - 3
v • w
= (5i - 3j ) • (9i - 2j )
= (5 × 9) + (- 3 × - 2)
= 45 + 6
= 51
Then
u • w + v • w
= - 3 + 51
= 48
B is the only number that is divisible by 3
Answer:
8 rabbits
22 chickens
Step-by-step explanation:
c = chickens
r = rabbits
heads - c + r = 30
legs - 2c + 4r = 76
We can now use these two equations to create one by isolating the variable (c) in the first equation.
c = 30 - r
2c + 4r = 76
2(30 - r) + 4r = 76
60 - 2r + 4r = 76
2r = 16
r = 8
Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.
