Answer:
8x-y+4=0
Step-by-step explanation:
because 8x-y+4=-4+4
Step-by-step explanation:
the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).
now, the whole retail price is reduced by 12%.
that means we have to subtract 12% from the 120%.
but careful, we cannot just do 120-12=108.
that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.
we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.
we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :
120 × 0.88 = 105.6%
so, the new retail price is now only 5.6% over the manufacturer price.
Answer:
a. V = 3M
b. T = 5S
c. Y = 17x
d. H = 12M
e. P = 0.5N
Step-by-step explanation:
a. V= 12 when M =4
12/4 = 3, so in this case, V is 3 times M, that is, V = 3M
b. T= 5 when S=1
5/1 = 5, so in this case, T is 5 times S, that is, T = 5S
c. Y= 34 when x=2
34/2 = 17, so in this case, Y is 17 times x, that is, Y = 17x
d. H=48 when M=4
48/4 = 12, so in this case, H is 12 times M, that is, H = 12M
e. P= 5 when N=10
5/10 = 1/2 = 0.5, so in this case, P is half of N, that is, P = 0.5N
Answer:
1. AT = 9.43
2. TH = 9.43
3. MA = 7.81
4. MH = 7.81
Step-by-step explanation:
1. Determination of the length of AT.
Length of 1st leg = 8
Length of 2nd leg = 5
length of AT =.?
Using pythagoras theory, we can obtain the length of AT as illustrated below:
AT² = 8² + 5²
AT² = 64 + 25
AT² = 89
Take the square root of both side
AT = √89
AT = 9.43
2. Determination of the length of TH.
From the diagram given in the question above, we can see that length TH and length AT are the same i.e
TH = AT
AT = 9.43
Therefore,
TH = 9.43
3. Determination of the length of MA.
Length of 1st leg = 6
Length of 2nd leg = 5
Length of MA =?
Using pythagoras theory, we can obtain the length of MA as illustrated below:
MA² = 6² + 5²
MA² = 36 + 25
MA² = 61
Take the square root of both side
MA = √61
MA = 7.81
4. Determination of the length of MH.
From the diagram given in the question above, we can see that length MH and length MA are the same i.e
MH = MA
MA = 7.81
Therefore,
MH = 7.81
