Gabby received change worth $2.10. she received 3 more dimes than nickels and 4 less quarters than nickels. how many of each kind of coins did she receive?

Gabby received

7 nickels

10 dimes

3 quarters

Step-by-step explanation:

Let

x> the number of dimes

y> the number of nickels

z---> the number of quarters

Remember that

1 dime=$0.10

1 nickel=$0.05

1 quarter=$0.25

we know that

0.10x+0.05y+0.25z=2.10 > equation A

x=y+3> equation B

z=y-4 > equation C

substitute equation B and equation C in equation A and solve for y

0.10(y+3)+0.05y+0.25(y-4)=2.10

0.10y+0.30+0.05y+0.25y-1=2.10

0.40y=2.10-0.30+1

0.40y=2.80

y=7 nickels

Find the value of x

x=y+3 > x=7+3=10 dimes

Find the value of z

z=y-4 > z=7-4=3 quarters

therefore

Gabby received

7 nickels

10 dimes

3 quarters

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it