Answer:
Step-by-step explanation:
Given that 1/4 bucket of nuts fills 2/3 of the barrel
PART A
<u>To find the amount of nuts that fills entire basket we can put this as:</u>
- 1/4 bucket → 2/3 barrel
- x bucket → 1 barrel
<u>Use cross-multiplication to find the value of x:</u>
- x×2/3 = 1×1/4
- x = 1/4 ÷ 2/3
- x = 1/4×3/2
- x = 3/8 bucket
PART B
- Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.
Answer:
yes
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 4 ← is in slope- intercept form
with slope m = - 1
5x - 5y = 20 ( subtract 5x from both sides )
- 5y = - 5x + 20 ( divide all terms by - 5 )
y = x - 4 ← in slope- intercept form
with slope m = 1
Thus product of their slopes is - 1 × 1 = - 1
Therefore the lines are perpendicular
New balance = unpaid balance + periodic interest of unpaid balance + new transaction
Periodic interest rate = APR/12
= 17.4%/12
= 1.45%
unpaid credit card balance = 2543.32
new transaction = 320
New balance = 2543.32+(0.0145 x 2543.32) +320
New balance credit card balance = 2900.19814
So essentially, we have a choice of :
2 reception halls
3 DJs
2 catering companies.
In order to find the number of arrangements, you need to multiply those : 2*3*2=12- So they have 12 arrangements.
why?
Imagine those 3 Djs- they are three arrangements.
Now, they can play in one or the other hall -so in total it's 3 Djs in one hall and 3 in the other -that's 6.
And all of those 6 possibilities can be catered by one or the other company- making the possibilities twice as many, so it's 12 in total!
