Answer:
$15.5
Step-by-step explanation:
let a = price of one orchid plant
8 orchids would cost 8 x a = 8a
12 orchids would cost 12 x a = 12a
Let b = price of one lily plant
12 lilies would cost 12 x b = 12b
8 lilies would cost 8 x b = 8b
8a + 12b = 362 -- eqn 1
12a + 8b = 388 -- eqn 2
to solve, multiply equation 1 by 8 and equation 2 by 12
64a + 96b = 2896 equation 3
144a + 96b = 4656 equation 4
substract equation 4 from 3
80a = 1760
a = $22
Substitute for a in eqn 1 and solve for b
8(22) + 12b = 362
b = $15.5
Answer:
1 1/4 liters of paint
Step-by-step explanation:
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?
From the above question, we can deduce that:
2 liters of paint covers 1 3/5 doors
Hence:
1 3/5 doors = 2 liters of paint
1 door = x liters of paint
Cross Multiply
1 3/5 doors × x liters = 2 liters × 1 door
x liters = 2 liters × 1 door/ 1 3/5 doors
x liters = 2 ÷ 1 3/5
x liters = 2 ÷ 8/5
x liters = 2 × 5/8
x liters = 5/4 liters
x liters = 1 1/4 liters of paint
Hence: 1 1/4 liters of paint is needed for 1 door
Y = mx + b
slope(m) = -1/2
(6,-6)....x = 6 and y = -6
now we sub into the formula and find b, the y int
-6 = -1/2(6) + b
-6 = - 3 + b
-6 + 3 = b
-3 = b
so ur equation is : y = -1/2x - 3 <==
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount deposited.
P represents the principal or amount deposited.
R represents interest rate
T represents the duration in years.
From the information given,
P = 2500
R = 1.5%
T = 30 years
I = (2500 × 1.5 × 30)/100 = $1125
the account balance be after 30 years is
1125 + 2500 = $3625
We need to find the product of :
So, the result as following:
So, the answer is the option 4. 8y3 + 6y2 − 29y + 15
