Answer:
The answer to your question is $5.60
Step-by-step explanation:
1 tulip + 1 daisy + 2 mums = $4.20 (1)
1 tulip + 2 daisies + 1 mum = $ 3.80 (2)
2 tulips + 2 mums = $4.80 (3)
1 tulip + 3 daisies + 2 mums = ?
tulip = t daisy = d mum = m
Process
1.- Find the price of each flower using system of equations
Solve equation 3 for tulip
2t = 4.80 - 2 m divide by 2 (4)
t = 2.40 - 1m
2.- Substitute equation 4 in equation 1 and 2
(2.4 - 1m) + 1 d + 2 m = 4.2
(2.4 - 1m) + 2d + 1 m = 3.8
3.- Simplify and solve for each flower
2.4 - 1m + 1d + 2m = 4.2
1d + 1m = 4.2 - 2.4
1d + 1m = 1.8 Equation (5)
2.4 - 1m + 2d + 1m = 3.8
2d = 3.8 - 2.4
2d = 1.4
d = 1.4/2
1d = 0.7
4.- Substitue d in equation 5
1(0.7) + 1m = 1.8
0.7 + 1m = 1.8
1m = 1.8 - 0.7
1m = 1.1
5.- Subtitute m in equation 4
1t = 2.40 - 1(1.1)
1t = 2.40 - 1.1
1t = 1.3
6.- Result
1 tulip + 3 daisies + 2 mums cost = 1.3 + 3(0.7) + 2(1.1)
= 1.3 + 2.1 + 2.2
= $5.6
Answer:
284cm^2
Step-by-step explanation:
first, we split up the shape into seperate sections that we can easily find the areas of.
i will draw vertical lines in the bottom left and right, leaving me with 2 seperate rectangles and 1 irregular pentagon.
we know that these rectangles are 4x8cm, so we do 4 * 8 which gives us 32.
there are 2 of these, so 32 x 2 = 64cm^2.
now, i chose to seperarte the pentagon into a rectangle and a triangle,
and i found the height and width of the rectangle to be (18 - (4+4)) x (8+7), or 10 x 15.
the area of the rectangle is 150cm^2.
now, for the triangle.
the line through the centre of th shape is 22cm long, but we only want the part in the triangle. luckily, there are mesurements that can help us with this.
8 + 7 = 15.
22 - 15 = 7.
now we know that the height of the triangle is 7 cm.
from earlier, we also know the base, which is 10cm.
7 x 10 = 70cm^2.
now we add all these together:
70 + 150 + 64 = 284cm^2
The approximate width of Alice's backyard is 22.36 in.
Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = <span>22.360679775 in or 22.36 in</span>
Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.
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Answer:
$0.80
Step-by-step explanation:
-3 (1x + 1y = 3.2)
3x + 1y = 8
----------------
-3x - 3y = -9.6
+
3x + 1 y = 8
-------------------
0x -2y = -1.6
÷ -2
-----------------
y = 0.8
one hamburger costs $0.80
Answer:
x=-3
y=3
(-3-3i)(3+5i)
Step-by-step explanation:
and we have that must equal
6-24i
3x+5y=6
5x-3y=-24 and if we work it we found out that the solutions are
x=-3 and
y=3
