Answer:
number 1 is c number 2 is b,c,e number 3 is b
Step-by-step explanation:
1: if you see something to the power you will always think of repeated multiplication off the bat. so you just multiply the coefficient by the amount of the exponent.
2: 1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1=1 no
2*2*2*2=16 yes
4*4=16 yes
8*8=64 no
16=16 yes
3: 3/4*3/4*3/4=27/64
hope this helps! have a nice day!
Answer:
Step-by-step explanation:
Let x represent the number of units of games sold.
The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be
0.9 × x = 0.9x
The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be
1.69 × x = 1.69x
The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be
C = 6200 + 0.9x
Profit = Revenue - total cost
Therefore,
Profit = 1.69x - (6200 + 0.9x)
= 1.69x - 0.9x - 6200
= 0.79x - 6200
Let the numbers be n, n+2, n+4
Sum equals too= 13+2(n+4), which is 2n+21
a) Equation--> n+n+2+n+4= 2n+21
b) Solution--> 3n+6= 2n+21
=> n= 15
c) Second number--> 17 (15+2)
Third number--> 19 (15+4)
d) 15+15+2+15+4=30+21
=> 51= 51
So, the equation is true.
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Answer:
Step-by-step explanation:
221
Answer:
Step-by-step explanation:
6v + 12b = 504 eq1
2v + 5b = 204 eq2
6v + 15b = 612 eq2 times 3
0 -3b = 504 - 612 subtraction of the two bolded eqs
-3b = -108 solve for b
b = 36
Another way to solve the problem
6v + 12b = 504 I would eliminate the v term by multiplying the bottom
2v + 5b = 204 equation by -3 on BOTH sides and then add the two eqs
2v + 5b = 204
-3(2v + 5b) = -3(204)
-6v - 15b = -612
6v + 12b = 504
-6v - 15b = -612 add the like terms
(6v + (-6v)) + (12b + (-15b) = 504 + (-612)
(6v -6v)) + (12b - 15b) = 504 - 612)
0 + -3b = - 108 solve for b divide both sides by -3
b = -108/-3
b = 36
use eq 2v + 5b = 204 to solve for v and knowing b = 36
2v + 5b = 204 b=36
2v + 5(36) = 204 substract 5 times 36 from both sides
2v = 204 - 180
v = 24 / 2
v = 12
NOW CHECK the values for b and v using the OTHER eq
6v + 12b = 504
6(12) + 12(36) = 504
72 + 432 = 504
504 = 504 IT CHECKS
