Answer:
Options (2), (3), (5) and (6)
Step-by-step explanation:
Let the number of bicycles = x
and the number of treadmills = y
Since, number of new bicycles must be more than
times of new treadmills,
Inequality representing the statement will be,
x >
y
Each bicycle costs $340 and each treadmill costs $670.He must spend less than $5650,
Inequality will be,
340x + 670y < 5650
And the number of bicycles and treadmills should be greater than 0.
x > 0
y > 0
Therefore, constraints for this situation are,
Option (2)
Option (3)
Option (5)
Option (6)
Answer:
No, the equation does not represent a direct variation.
Step-by-step explanation:
The answer is immediately evident: NO. The reason for this is that no direct variation equation includes a vertical intercept.
Here 2y = 5x + 1 becoems y = (5/2)x + 1/2; the y-intercept 1/2 is problematic.
If we were to drop the constant 1, then 2y = 5x, or y = (5/2)x; this represents direct variation with the constant of proportionality 5/2.
Answer:
The sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of $15?and $1000 in fixed cost is 240
Step-by-step explanation:
Given:
Net income= $5000
sales price= $40
variable cost =$15 and $1000
To Find:
sales of volume V=?
Solution:
We Know that

Where x= number of units sold
Similarily,

Substituting the known values,


Sloving the equation,






Answer:
(5,14)
Step-by-step explanation:
4x+6=2x-4
2x=10
x=5
y=2x+4
y=2(5)+4
y=14
Answer:
The number of boys are 64.
Step-by-step explanation:
We have,
The ratio of the boy to girl is 8:9.
Total number of girls are 72.
Let total boys are 8x and total girls are 9x.
According to the question,

Since, number of boys are 8x. So,

So, the number of boys are 64.