Answer:

Step-by-step explanation:
We can set up the following system of equations:
, where
is the number of dimes she has and
is the number of nickels she has.
Multiplying the second equation by -5 and adding both equations lets us isolate and solve for
:

Plugging
into any of the two equations will let us solve for
:
.
Therefore, she has 14 nickels.
Answer: Ruth have to make 7 hats to break even.
Step-by-step explanation:
Break even point is a point where Cost = Revenue.
Let x be the number of hats sold.
Given: Cost of booth = $63
Each hat cost = $10
Selling price for each cost = $19
As per given,
Total cost = Cost of booth+ (Cost of each hat)(Number of hats)
= 63+10x
Total selling price = 19x
For break even,
63+10x=19x
9x=63
x=7
Hence, Ruth have to make 7 hats to break even.
Answer:
L=4.30cm
SA= 110.94cm^2
Step-by-step explanation:
Given data
Volume of box= 80 cm^3
We know that the volume of a box is given as
V= l^3
80=l^3
l= ∛80
l= 4.30cm
also the surface area of a box is given as
SA=2lw+2lh+2hw
SA= 2* 4.30* 4.30+2* 4.30* 4.30+ 2* 4.30* 4.30
SA= 36.98+36.98+36.98
SA= 110.94cm^2
Answer:
Sure
Step-by-step explanation:
Nice-
First step: you have to plug in 6y+3 into the equation and solve
Example: 6y+3+2y = 5