Answer:
A) Lifetime: 200+15x
Health Bridge: 50+30x
B.1) Yes, they are both the same price after 10 Months at an amount of $350
B.2) Lifetime gym would be cheaper by $30
C) Health Bridge Gym because it is $60 less
D) Lifetime Gym
Step-by-step explanation:
A) 200=Initial Fee___15=Monthly Cost___x=Months
50=Initial Fee___30=Monthly Cost___x=Months
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B.1) 200+15(10)=350
50+30(10)=350
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B.2) 200+15(12)=$380
50+30(12)=$410
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C) 200+15(6)=290
50+30(6)=230
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Lifetime Gym's initial fee is greater than Health Bridge's fee but without exceeding $500, you are able to go to the gym for 20 months rather than 15 months using Health Bridge's plan.
D)200+15(20)=$500
50+30(15)=$500
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I hope this is enough work shown, if you need a better understanding let me know and I will revise the equations for you.
Answer:
32.5 feet long and 20 feet wide
Step-by-step explanation:
To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.
Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.
1) translation of 2 down
2) translation of 5 right
Answer:
x = -2/3
Step-by-step explanation:
27 ^(x+2) = 81
Rewrite 27 as a power of 3
27 = 3^3
Rewrite 81 as a power of 3
3^4
3^3^(x+2) = 3^4
We know that a^b^c = a^(b*c)
3^3*(x+2) = 3^4
3^(3x+6) = 3^4
The bases are the same so the exponents are the same
3x+6 = 4
Subtract
6 from each side
3x+6-6 =4-6
3x = -2
Divide by 3
3x/3 =-2/3
x = -2/3
