Jeremy saves quarters and dimes. One night he counts his coins and finds that there are 30 coins with a total value of $4.50. How many of each kind of coin does he have? Write your answer as an ordered pair [e. g., if the length and width were 1 and 2 inches respectively, your answer would be (1,2) ]. NEED HELP ASAP

20 dimes and 10 quarters.

Step-by-step explanation:

Let Q and D stand for the numbers of Quarters and Dimes.  I'll use pennies in the calculation just to make it easier (without the decimal point clutter).

We are told that:

Q + D = 30

Rearrange to isolate one of the variables.  I'll pick Q:

Q = 30-D

We also know:

25Q + 10D = 450

Substitute the value we found for Q

25(30-D) + 10D = 450

750 - 25D + 10D = 450

-15D = -300

D = 20

Q = 30-D

Q = 10

Check:

20*(10) + (10*(25) = 450?

200 + 250 = 450  YES

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4