As long as no work needs to be shown, X=18.
Answer:
Potato price = $1.5 / pound ; Carrot price = $1.75 / pound
Step-by-step explanation:
Let price of carrot per pound = c
Let price of potatoes per pound = p
Given :
2c + 3p = 8 (eqtn A)
4c + 4p = 13 (eqtn B)
Multiplying eqtn A by 2 ;
4c + 6p = 16
4c = 16 - 6p (eqtn Y)
By eqtn B ;
4c = 13 - 4p (eqtn Z)
By eqtn Y & Z ;
16 - 6p = 13 - 4p
16 - 13 = - 4p + 6p
3 = 2p
p = 3 /2
p = 1.5 [Potato price]
Putting p value in eqtn A
2c + 3 (1.5) = 8
2c + 4.5 = 8
2c = 8 - 4.5
2c = 3.5
c = 3.5 / 2
c = 1.75 [Carrot Price]
Answer:
(x, y) = (3, 1)
Step-by-step explanation:
given the 2 equations
2x + 3y = 9 → (1)
x + 5y = 8 → (2)
multiplying (2) by - 2 then adding to (1) will eliminate the term in x
multiply (2) by - 2
- 2x - 10y = - 16 → (3)
add 1(1) and (3) term by term
(2x - 2x) + (3y - 10y) = (9 - 16)
- 7y = - 7 ( divide both sides by - 7 )
y = 1
Substitute y = 1 in either (1) or (2) and solve for x
(1) : 2x + 3 = 9 ( subtract 3 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Solution is (3, 1 )
Answer: The correct order
8mm, 41 cm, 790 dm, 788m, 537 km
Step-by-step explanation:
Answer:
8/5 or 1 3/5
Step-by-step explanation:
2 2/5 = 12/5
1 1/2 = 3/2
Now that we have fractions that are easier to divide, one must understand that the opposite of dividing is multiplying. So if you multiply 12/5 by the reciprocal* of 3/2, which would be 2/3, you would get your answer so...
12 3 12 2 24 8 3
— ÷ — = — × — = — = — <em>or</em> 1 —
5 2 5 3 15 5 5
*the reciprocal is the opposite of the fraction you have. So the denominator would become the numerator, and vise versa.