1 car - 4 wheels
1 motorcycle - 2 wheels
x - number of cars
y - number of motorcycles
so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles
x + y = 70 /* 4
4 x + 2y = 258
4 x + 4 y = 280 (R1)
4 x + 2y = 258 (R2)
2y = 22 /:2 it is R1 - R2
x = 70 - y
y = 11 /motorcycles
x = 70 - 11 = 59 /cars
check:
59 + 11 = 70 ok
59 * 4 + 11 * 2 = 236 + 22 = 258 ok
Answer:
14000
Explaination:
spwithvat = sp without vat + 13% of sp without vat
let, sp without vat be x.
sp with vat= x + 13% of x.
or, 13447 = x + 13/100 × x
or, 1344700 = 113x
or, x= 1344700/113
x = 11900
Let, mp be y.
sp with vat = mp - 15% of mp
or, 11900 = y - 15/100 × y
or, 1190000 = 85y
or, y= 1190000/85
y= 14000
Answer:
B) {-8,-2,3,4,7,11}
Step-by-step explanation:
range is y
Answer:
2⁴
Step-by-step explanation:
4² would be 4x4 not 2x2x2x2
2x2x2x2 would be 2⁴.
(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x
(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23
The dimensions of the rectangle are 11 cm by 23 cm.
