Chi has $11:30 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many of each are there?

DO NOT COPY AND PASTE. THE ANSWER IS 63 DIMES AND 20 QUARTERS. HOW DO I GET THIS.

To solve this question, we first have to know that we are trying to assemble

and solve equations with two variables: x

and y.

Assuming x

is the number of dimes and y

is the number of quarters, we

can assemble the equations.

since the number of dimes is 3 more than three times the number of quarters,

we get x=3y+3.

Additionally, multiplying the number of dimes by 0.1 and the number of

quarters by 0.25,

we get the total value of x

and y

which appears by this

equation 0.1x+0.25y=11.30

.

Substituting the value of x

in the second equation, we get 0.1(3y+3)+

0.25y=11.30

.

Solving this equation, we get that the value of x,

we get x=3×20+3=

Using the first equation to get the value of x,

we get x=3×20+3=

60+3=63

dimes.

Chapter 9

Math Models and Geometry

Section 2

Solve Money Applications

Prealgebra

Step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

a. -0.3 > -0.33