Step-by-step explanation:
multiply 5x+2y=19 by 3 youll get 15x+6y=57
eliminate y
7x-6y=9
<u>15x+6y=57</u><u> </u> +
22x=66
x=3
substitute x to 5x+2y=19
15+2y=19
2y=4
y=2
Answer:
The simultaneous inequation representing the recomended storage temperature is:

Step-by-step explanation:
In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.
Bounds can be converted into Fahrenheit degrees from Celsius degrees:
(Eq. 1)
Where:
- Temperature, measured in Celsius degrees.
- Temperature, measured in Fahrenheit degrees.
Lower bound (
)


Upper bound (
)


The simultaneous inequation representing the recomended storage temperature is:

Answer:
j=-2
Step-by-step explanation:
42j+18-19j=-28
Combine like terms
23j +18=-28
Subtract 18 from each side
23j +18-18 = -28 -18
23j =-46
Divide each side by 23
23j/23 = -46/23
j = -2
The long piece is 4 times the length of the short piece.
Short piece = 1 time
Long piece = 4 times
--------------------------------
Full rope = 5 times
5 times = 70 inches
Divide each side by 5 : 1 time = 14 inches
<em>Short piece</em> = 1 time = <em>14 inches</em>
<em>Long piece</em> = 4 times = 4 x 14inches = <em>56 inches</em>
<u>Check:</u>
Ratio of long to short = 56inches / 14inches = <u>4</u>
Sum of both pieces = (56 + 14) = <u>70 inches</u>
yay !