Which shows the correct solution of the equation 1/2a+2/3b=50 when b=30?

a = 15 if a and b are in the numerator and not the denominator

Step-by-step explanation:

Assuming a and b are NOT in the denominator (unclear in the question)

equation is a/2 + 2b/3 = 50 now substitute 30 for b

a/2 + 2(30)/3 = 50 now simplify the second term

a/2 + 20 = 50  subtract 20 from both sides, then multiply both sides by 2 and you will have the value for a

If a and b are in the denominator, see below

1/2a + 2/3b = 50 substitute 30 for b

1/2a + 2/90 = 50 multiply both sides by 90

45/a + 2 = 4500 subtract 2 from both sides

45/a = 4498 now invert both sides

a/45 = 1/4498 and then multiply both sides by 45

a = 45/4498 = ~.01 (I rounded)

a = 15 if a and b are in the numerator and not the denominator

Step-by-step explanation:

Assuming a and b are NOT in the denominator (unclear in the question)

equation is a/2 + 2b/3 = 50 now substitute 30 for b

a/2 + 2(30)/3 = 50 now simplify the second term

a/2 + 20 = 50  subtract 20 from both sides, then multiply both sides by 2 and you will have the value for a

If a and b are in the denominator, see below

1/2a + 2/3b = 50 substitute 30 for b

1/2a + 2/90 = 50 multiply both sides by 90

45/a + 2 = 4500 subtract 2 from both sides

45/a = 4498 now invert both sides

a/45 = 1/4498 and then multiply both sides by 45

a = 45/4498 = ~.01 (I rounded)

the answer is c

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.