The first one.
All 3 notes transitioned one bar line above it’s original placement. Hope this helps:)
Answer:
x < 3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
4*x-7-(5)<0
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
4x - 12 = 4 • (x - 3)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 4
Solve Basic Inequality :
2.2 Add 3 to both sides
x < 3
Answer: For 1 ounce there is 150 calories.
Step-by-step explanation:
<h3>
Answer: Choice A. P = 1000M</h3>
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Explanation:
Use the log rule
log(A/B) = log(A) - log(B)
this works for any valid log base
So we can say
- log(P/N) = log(P) - log(N)
- log(M/N) = log(M) - log(N)
meaning that
- log(P/N) = 8 turns into log(P) - log(N) = 8
- log(M/N) = 5 turns into log(M) - log(N) = 5
We have this system of equations
Subtract the equations straight down. You'll find the log(N) terms cancel out and we have the new equation log(P) - log(M) = 3 which transforms into log(P/M) = 3
Lastly, convert the log equation into its exponential equivalent form using the idea that log(b,x) = y turns into y = b^x, where b is the base
Throughout this problem, the base wasn't given. Instead its implied we're talking about base 10.
So,
log(P/M) = 3
P/M = 10^3
P/M = 1000
P = 1000M
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Alternatively,
log(P/N) = 8 turns into P/N = 10^8
log(M/N) = 5 turns into M/N = 10^5
meaning that we can divide the two equations to get P/M = (10^8)/(10^5). That simplifies to P/M = 1000 and rearranges to P = 1000M
Answer:
180% ; 5
Step-by-step explanation:
Purchase price per coat = 55
Sales price per coat = 99
% of purchase price is sales price :
X% * 55 = 99
(x / 100) * 55 = 99
0.01x * 55 = 99
0.55x = 99
x = 99 / 0.55
x = 180
180% of purchase price
B.)
180% * 45 = 81 per jacket
Number of jackets to sell to make atleast $390 in sales
$390 / $81 = 4.8
Hence, 5 jackets