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.
The best way to randomly choose the 100 families would be to allow a random number generator to come up with 100 families within a 50 radius of the amusement park.
Using this method would ensure that it is more randomised & not limited to people who come at a specific time or are in a specific area as well as it not be affected by subconscious bias of people when selecting people to survey.
Answer:
Number of children = x = 88
Number of Adults = y = 252
Step-by-step explanation:
Let us represent:
Number of children = x
Number of Adults = y
On a certain hot summer's day, 340 people used the public swimming pool.
Hence:
x + y = 340..... Equation 1
x = 340 - y
The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00.
$1.25 × x + $2.25 × y =$ 677
1.25x + 2.25y = 677..... Equation 2
Let us substitute: 340 - y for x in Equation 2
1.25(340 - y) + 2.25y = 677
= 425 - 1.25y + 2.25y = 677
Collect like terms
- 1.25y + 2.25y = 677 - 425
1y = 252
y = 252
Solving for x
x = 340 - y
x = 340 - 252
x = 88
Therefore the number of children and adults that swam at the public pool that day are: 88 children and 252 Adults.e
Answer:
ΔABC ≅ ΔEDF by SSS
Step-by-step explanation:
Its not a right triangle so it cant be the 2nd or last one.
ABC is equal to EDF, if you trace where the lines go
it is not equal to fde
Answer:
11j - 1573/10
Step-by-step explanation:
J = 10v /11 +143
collect terms
J - 143 =10v /11
11 (J -143) = 10v
Divide both sides by 10
11(J - 143)/10 = v
v = 11J - 1573/10
Hope this helps!
