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Oksanka [162]
3 years ago
9

There are 15 students going on a field trip. If 3/5 of them pack their lunches, how many students pack their lunches?

Mathematics
1 answer:
zmey [24]3 years ago
6 0
3/5 × 15= 9
therefore 9 students packed lunch

brainliest please
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(5/6)^4x=(36/25)^9-x, please help solve for x, and the 9-x is all superscript
stiks02 [169]
\frac{36}{25}=\frac{6^2}{5^2}=\left(\frac{6}{5}\right)^2=\left(\frac{5}{6}\right)^{-2}\\\\therefore:\\\\\left(\frac{5}{6}\right)^{4x}=\left[\left(\frac{5}{6}\right)^{-2}\right]^{9-x}\\\\\left(\frac{5}{6}\right)^{4x}=\left(\frac{5}{6}\right)^{-2(9-x)}\iff4x=-2(9-x)\\\\4x=-2\cdot9-2\cdot(-x)\\\\4x=-18+2x\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\2x=-18\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=-9}


Use:\\a^{-n}=\left(\frac{1}{a}\right)^n\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\\left(\frac{a}{b} \right)^n=\frac{a^n}{b^n}
6 0
3 years ago
Read 2 more answers
The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.
maks197457 [2]

Answer:

195.25

Step-by-step explanation:

Consider geometric series  S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1  -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1  -1)

The formula now shows S(n)=a(r^n+1  -1)/(r-1)

Now use the formula for the problem

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Twelve pounds less than twice janes weight is 270 pounds. What is Janes weight?
Tpy6a [65]
Janes weight = x
Twelve pounds less than twice janes weight is 270 pounds
12 less than 2x is 270 

2x -12 = 270   (add 12 to each side)
2x = 270 + 12
2x = 282   (divide 2 from each side)
x = 282/2
x = 141

The answer is 141 pounds
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During a sale, for each shirt that Mark purchased at the regular price, he also purchased a shirt at half the regular price. How
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