The two slanted lines BC and AD are the same, then AD should be the same length, 27.
This equation is written in point-slope form (y-y1)=m(x-x2). Since the variable m always represents slope in basic mathematics then the slope is 5.
Answer:
£159
Step-by-step explanation:
Charles buys 30 packs of pens.
There are 15 pens in each pack.
Each pack costs £2.80.
Charles sells each pen for 90p but he only manages to sell 3/5 of the pens.
How much profit did he make?
Step 1
Charles buys 30 packs of pens.
There are 15 pens in each pack.
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
Each pack costs £2.80
Hence:
1 pack = £2.80
30 packs = x
Cross Multiply
x = 30 × £2.80
x = £84
Step 2
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
He only manages to sell 3/5 of the pens
The amount of pens Charlie sells =
3/5 × 450 pens
= 270 pens
Charles sells each pen for 90p
100p = £1
90p = x
Cross Multiply
100 × x = 90 × £1
x = 90/100
x = £0.9
The amount he sells each pen =
1 pen = £0.9
270 pens = x
Cross Multiply
x = 270 pens × £0.9
x = £243
Step 3
The profit that he made is calculated as:
£243 - £84
= £159
Answer: y²z⁴ / x¹²
Explanation:
1) Given expression to simplify:
2) Property: power of power:
3) Property: product of powers with the same base
4) Add the exponents
5) Pass the negative power to the denominator:
The exponent on x is 12. The exponent on y is 2. The exponent on z is 4.
Step-by-step explanation:
the 60 preliminary published articles are a constant.
all the new articles are simply added to that to get the total number of published articles.
every months produces 12 more articles.
so,
m = 1 means a = 60 + 1×12 = 72
m = 3 means a = 60 + 3×12 = 60 + 36 = 96
m = 4 means a = 60 + 4×12 = 60 + 48 = 108
m = 9 means a = 60 + 9×12 = 60 + 108 = 168
