Answer:
The two numbers are <em>16</em> and <em>26</em>.
Step-by-step explanation:
We can solve this question using 2 simultaneous equations based on the given information from the question.
Let number 1 = x
Let number 2 = y
xy = 416 -> ( 1 )
x + y = 42 -> ( 2 )
We can use either substitution or elimination to solve simultaneous equations. For this question, we will use substitution as it is the easier and shorter option.
Make y the subject in ( 2 ):
x + y = 42 -> ( 2 )
y = 42 - x -> ( 3 )
Substitute ( 3 ) into ( 1 ):
xy = 416 -> ( 1 )
x ( 42 - x ) = 416
42x - x^2 = 416
-x^2 + 42x - 416 = 0
- [ x^2 - 42x + 416 ] = 0
- [ x^2 - 16x - 26x + 416 ] = 0
- [ x ( x - 16 ) - 26 ( x - 16 ) ] = 0
- ( x - 16 ) ( x - 26 ) = 0
x = 16 -> ( 4 ) , x = 26 -> ( 5 )
Substitute ( 4 ) into ( 3 ):
y = 42 - x -> ( 3 )
y = 42 - ( 16 )
y = 26
Substitute ( 5 ) into ( 3 ):
y = 42 - x -> ( 3 )
y = 42 - ( 26 )
y = 16
Therefore:
x = 16 , y = 26
x = 26 , y = 16
The two numbers are 16 and 26.
Answer:
The answer is perpendicular
Step-by-step explanation:
convert the two equations into slope-intercept form
y=7/5x - 1
y=6/5x -1
Then, put it in the graph and you'll get lines intersecting at the same point which is the y-intercept.
Hello! We can go ahead and eliminate C and D, because those answers don't make any sense. There are 2 cups in 1 pint and there are 4 pints. 2 * 4 is 8. There are 8 cups in 4 pints. The cost for that much ice cream is $16.39. To dins the cost per cup, let's divide that number by the number of cups, which is 8. 16.39/8 is 2.04875 or 2.05 when rounded to the nearest hundredth. The cost for a cup of ice cream is $2.05. The answer is A: $2.05.
Answer:
$ 63,250
Step-by-step explanation:
55,000 x 0.15 = 8,250
55,000 + 8,250 = 63,250
