Samantha has $3.35 worth of dimes and
quarters. she has a total of 20 dimes and
quarters altogether. determine the
number of dimes and the number of
quarters that samantha has.

9 quarters and 11 dimes.

Step-by-step explanation:

Step 1-

d+q=20

.1d+.25q=3.35

Step 2-

d=20 - q

Step 3-

.1 (20 - q)+ .25q =3.35

.1 (20)- .1q+ .25q =3.35

2- .1q+ .25q =3.35

2+ (.25- .1)q =3.35

2+ .15q =3.35

Step 4-

2-2+.15q =3.35 -2

.15q =1.35

Step 5-

.15q/.15 =1.35/.15

Q=9

And since there are 9 quarters and 20 coins in total, there has to be 11 dimes left. Hope this helps!

they are simplified

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true