Lian has $1.00 she has only nickels and dimes. lian has twice as many dimes as nickels how many dimes does she have?
a) 5
b) 8
c) 4
d) 3
e) 7

B) 8

Step-by-step explanation:

Because she has twice as many dime as nickels, that automatically makes 5, 3, and 7 invalid answers since you cannot have whole halfs of them.

8 dimes = 80 c.

8/2 = 4

4 nickles = 20 c.

80c + 20c = $1.00

The number of dimes she has is; B: 8 dimes

Liam has $1.

She has twice as many dimes as nickels.

This means that;

2n = d

Now, from conversions ;

$0.5 = 1 nickel

$0.1 = 1 dime

Thus possible combination to get $1 is;

4 nickels and 8 dimes

Thus;

4(0.5) + 8(0.1) = $1

Thus, he has 8 dimes and 4 nickels

Read more about conversion rate at; link

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

d

step-by-step explanation: