Answer:
x = 2 and y = 3
Step-by-step explanation:
We have
x+2y = 8 -----equation (i)
2x-y = 1 -----equation (ii)
Now,
x+2y = 8
or, x = 8-2y ------equation (iii)
Again,
2x-y = 1
or, 2x = 1+y
or, 2x-1 = y
Putting the value of 'x' from equation (iii)
or, 2(8-2y)-1 = y
or, 16-4y-1 = y
or, 16-1 = y+4y
or, 15 = 5y
or, y = 15/5
or, y = 3
Putting the value of 'y' in equation (iii)
x = 8-2y
or, x = 8-(2×3)
or, x = 8-6
or, x = 2
Therefore, x = 2 and y = 3.
Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2
Step-by-step explanation:
Step 1
let day lilies be rep as d
and ivy be represented as i
So that The expression for what Willie spent on 12 day lilies and 4 pots of ivy = $116 be
12 d+ 4i = 116 ---- equation 1
and for Anjali spending $60 on 6 day lilies and 3 pots of ivy be
6d+ 3i = $60------ equation 2
Step 2 --- Solving
12 d+ 4i = 116 ---- equation 1
6d+ 3i = $60------ equation 2
Multiply equation 2 by (2) and subtracting equation 1 from it
12d+ 6i= 120
--12 d+ 4i = 116
2 i= 4
i = 4/2 = 2
TO find d, putting the value of i = 2 in equation 1 and solving
12d+ 4(2) = 116
12d= 116-8
12d= 108
d= 108/12= 9
Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2
Answer:
1a) −24x^4−52x^3+198x^2+126x−325
2a) 14x^2+7x−41
3a) 30x^3+9x^2+32x−7
Step-by-step explanation:
First step is find profit so lets subtract 93 and
15.
[93-15] :3 =26$
Answer:
Malcom's maximum speed is 200 km/h
Ravi's maximum speed is 320 km/h
Step-by-step explanation:
First we have to make two equations one that represents the maximum average speed of the 2 together and another that represents the relationship between their maximum speeds
R = Ravi's maximum speed
M = Malcom's maximum speed
(R + M) /2 = 260 km/h
2M = R + 80 km/h
we are going to solve for M in the first equation
(R + M) /2 = 260 km/h
(R + M) = 260 * 2
M = 520 - R
we replace M with (520 - R) in the second equation
2M = R + 80 km/h
2(520 - R) = R + 80
1040 - 2R = R + 80
1040 - 80 = R + 2R
960 = 3R
960/3 = R
320 = R
replace R with its value in the first equation
M = 520 - R
M = 520 - 320
M = 200
Malcom's maximum speed is 200 km/h
Ravi's maximum speed is 320 km/h