Casey is making a flower arrangement with roses(r) and carnations(c). the cost of each rose is $0.50 and the cost of each carnation is $0.10. the arrangement has a total of 80 flowers and the flower cost was $20. how many of each flower did casey put in her arrangement?

which system of equations matches the situation?

the system is:

r + c = 80

r*0.5 + c*0.1 = 20

Step-by-step explanation:

each rose costs $0.50

each carnation costs $0.10

The number of roses is r, and the number of carnations is c.

the arrangement has a total of 80 flowers, so we have that:

r + c = 80

the cost is $20, so we have:

r*0.5 + c*0.1 = 20

so our system of equations is:

r + c = 80

r*0.5 + c*0.1 = 20

and we can also solve it; for this isolate one of the variables in the first equation:

r = 80 - c

now let'r replace this in the second equation:

(80 - c)*0.5 +c*0.1 = 20

40  - c*0.4 = 20

c = 20/0.4 = 50

this means that we have 50 carnations, and the other 30 are roses.

step-by-step explanation:

your mom

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: