The number of pennies in bank is 42
<em><u>Solution:</u></em>
Given that ratio of pennies to quarters in a piggy bank is 14 : 3
Let 14x be the number of pennies in piggy bank
Let 3x be the number of quarters in piggy bank
<em><u>To find: number of pennies</u></em>
Given that there are 51 quarters
number of pennies in piggy bank + number of quarters in piggy bank = 51
14x + 3x = 51
17x = 51
x = 3
number of pennies = 14x = 14(3) = 42
Thus the number of pennies in bank is 42
the AnSwEr is
12 because 8x - 1=3x+4 the variable x represents the same value and x= 0
Answer:
a)g: 3x + 4y = 10 b) a:x+y = 5 c) c: 3x + 4y = 10
h: 6x + 8y = 5 b:2x + 3y = 8 d: 6x + 8y = 5
Step-by-step explanation:
a) Has no solution
g: 3x + 4y = 10
h: 6x + 8y = 5
Above Equations gives you parallel lines refer attachment
b) has exactly one solution
a:x+y = 5
b:2x + 3y = 8
Above Equations gives you intersecting lines refer attachment
c) has infinitely many solutions
c: 3x + 4y = 10
d: 6x + 8y = 5
Above Equations gives you collinear lines refer attachment
i) if we add x + 2y = 1 to equation x + y = 5 to make an inconsistent system.
ii) if we add x + 2y = 3 to equation x + y = 5 to create infinitely system.
iii) if we add x + 4y = 1 to equation x + y = 5 to create infinitely system.
iv) if we add to x + y =5 equation x + y = 5 to change the unique solution you had to a different unique solution
Answer: Horizontal asymptote is
and vertical asymptotes are 
Step-by-step explanation:
Since we have given that

We need to find the horizontal and vertical asymptotes.
Since vertical asymptotes will occur where the denominator becomes zero.
So, here denominator is 
Now,

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

Hence, horizontal asymptote is
and vertical asymptotes are 
M AR = 55°
m RB = 66°
Like AB=8 m =RS →m RS = m AB
m AB = m AR + m RB
m AB = 55° + 66°
m AB = 121°
m RS = m AB
M RS = 121°
Answer: m RS is 121°