You have $4.30 in your piggy bank with only nickels and quarters. You have 8 more nickels than quarters. How much of each coin do you have? show work

PLEASE I NEED HELP ASAP

13 quarters and 21 nickels

Step-by-step explanation:

In this problem, a random person has $4.30 in his/her piggy bank. That is only nickels (0.05) and quarters (0.25). There are 8 more nickels than quarters. With that info, I can use the equation 0.25x + 0.05(x + 8) = 4.3 to figure out how many nickels and quarters there are.

0.25x + 0.05(x + 8) = 4.3 (Use the distributive property to multiply 0.05 by x and 8)

0.25x + 0.05x + 0.4 = 4.3 (Add 0.25x to 0.05x to get 0.3x)

0.3x + 0.4 = 4.3 (Subtract 0.4 from both sides)

0.3x = 4.3 - 0.4 (Subtract 0.4 from 4.3)

0.3x = 3.9 (Divide both sides by 0.3)

x = 3.9/0.3 (Divide 3.9 by 0.3)

x = 13

Knowing that there are 8 more nickels than quarters, I can degree there are 13 quarters and 21 nickels.

Substitute x for 13 in the equation to see if this is true.

0.25(13) + 0.05(13 + 8) = 4.3

3.25 + 0.05(21) = 4.3

3.25 + 1.05 = 4.3

4.3 = 4.3

So, x is 13.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)