Dillon has saved 57 coins in his piggy bank. The coins are a mixture of quarters and dimes. He has saved $12 so far. Let q = # of quarters and d = # of dimes.

Dillion has 42 quarters and 15 dimes.

Step-by-step explanation:

Let the number of quarters=q

Let the number of dimes=d

Dillon has saved 57 coins in his piggy bank.

Therefore:

q+d=57

Now, 1 dime=$0.10 and 1 quarter=$0.25.

We multiply the value of each coin by the number of coins present.

Since Dillion has a total of $12

Therefore:

0.1d+0.25q=12

We solve the two equations simultaneously.

From equation 1, q=57-d

Substitute q=57-d into 0.1d+0.25q=12

0.1d+0.25(57-d)=12

0.1d+14.25-0.25d=12

0.1d-0.25d=12-14.25

-0.15d=-2.25

Divide both seides by -0.15

d=15

Recall: q=57-d

          q=57-15=42

Therefore, Dillion has 42 quarters and 15 dimes.

42 quarters and 15 dimes.

Step-by-step explanation:

If q is the number of quarters, and d the number of dimes, we have that:

q + d = 57

q*0.25 + d*0.10 = 12

the first step is isolating one of the variables in one of the equation, it is easier to do it in the first one, let's isolate q.

q = 57 - d

now, we can replace this in the second equation and solve it for d.

q*0.25 + d*0.10 = 12

(57 - d)*0.25 + d*0.10 = 12

57*0.25 +d*(0.10 - 0.25) = 12

57*0.25 - d*0.15 = 12

-d*0.15 = 12 - 57*0.25 = -2.25

d = (-2.25)/(-0.15) = 15

So the number of dimes is 15, this means that the number of quarters must be:

q = 57 - d = 57 - 15 = 42

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

560

hope this : )