Answer:
A
Step-by-step explanation:
let x= pizza y= soda
kay:
x+y=4
Mark:
6x+2y=18
From kay's equation
x= 4-y
substiute that into mark's
6(4-y)+2y=18
24-6y+2y=18
-4y= -6
y= 1.5
Plug in y= 1.5 in either equation to solve for x
x+1.5=4
x=2.5
So a pizza is 2.5 and a soda is 1.5
the answer must be A
Answer:
148cm²
Step-by-step explanation:
With the first frontal face of the cuboid, you have length 6 cm whilst the height remains 5 cm.
Find the area of this face and multiply the result by 2, as there are two of these faces (front and back)
6 x 5 = 30 cm²
30 x 2 = 60cm²
Do the same with the top face and bottom face, adding this with the side faces
4 x 6 = 24cm²
24 x 2 = 48cm²
4 x 5 = 20cm² x 2 = 40 cm²
40 + 48 + 60 = 148 cm²
T.S.A = 148cm²
None, because 5 is not equal to 15, which means there is no solution.
Answer:
Length= 19cm
Width= 9cm
Step-by-step explanation:
let the length of the rectangle be L cm and its width be W cm.
Perimeter of rectangle= 56cm
2L +2W= 56
L +W= 56 ÷2
L +W= 28
L= 28 -W -----(1)
Area of rectangle= length ×width
LW= 171 -----(2)
Susbt. (1) into (2):
W(28 -W)= 171
28W -W²= 171 <em>(</em><em>expand</em><em>)</em>
W² -28W +171= 0 <em>(</em><em>bring</em><em> </em><em>everything</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>
(W -19)(W-9)= 0 <em>(</em><em>factorise</em><em>)</em>
W-19=0 or W-9=0
W= 19 or W= 9
Subst into (1):
L=28 -19 or L= 28 -9
L=9 or L= 19
Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.
Therefore its length is 19cm and its width is 9cm.
Answer:
a = 2.3
Step-by-step explanation:
