Answer:
-2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3+c)+c=c+4
(4)(3)+(4)(c)+c=c+4(Distribute)
12+4c+c=c+4
(4c+c)+(12)=c+4(Combine Like Terms)
5c+12=c+4
5c+12=c+4
Step 2: Subtract c from both sides.
5c+12−c=c+4−c
4c+12=4
Step 3: Subtract 12 from both sides.
4c+12−12=4−12
4c=−8
Step 4: Divide both sides by 4.
4c
4
=
−8
4
c=−2
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
- Simon has more money than Kande
S > K
- if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
- While if Kande gave Simon $22, Simon would then have twice as much as Kande;
if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
Answer:(2,23) & (7,48)
Step-by-step explanation:
The common ratio of the sequence 3, 9, 27, 81 is 3
n to the power of 3
1 to the power of 3 = 3
2 ... = 9
3 ... = 27
4 ... =81
Answer: For part A, the formula for the employee's pay is <em><u>P</u></em>ay = hourly <em><u>r</u></em>ate times <em><u>h</u></em>ours . P = r × h The equation is P = 13h To find how many hours are required to earn a given amount, fill in given values and solve for the missing variable . 7800 = 13h h= 7800/13 600 hours needed.
For part B, the formula for this employee's pay is <em><u>P</u></em>ay = <u><em>B</em></u>onus + hourly <em><u>r</u></em>ate times <em><u>h</u></em>ours . P = b + rh
330 = 90 + r(24) 330 - 90 = 24r . 240 = 24r 240/24 = r . r = 10
The employee's pay rate is $10 per hour.
