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o-na [289]
2 years ago
10

Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts

into 3/10 kilogram bags. How many bags of mixed nuts does she have.
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
5 0

Amount of walnuts=\frac{3}{4} kg

Amount of almonds=\frac{1}{2} kg

Amount of pecans=\frac{1}{4} kg

Total amount=\frac{3}{4}+\frac{1}{2}+\frac{1}{4}

LCM is 4 so sum is = \frac{3+2+1}{4}=\frac{6}{4} =\frac{3}{2}

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

\frac{\frac{3}{2}}{\frac{3}{10}}

= \frac{3}{2}\times\frac{10}{3} = 5

Hence, answer is 5 bags.


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Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

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Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads

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(1, 0.80) represents the unit rate.

(25, 20) represents the price of a necklace with 25 beads.

\frac{y}{x} = unit rate → \frac{4}{5} = 0.80; \frac{12}{15} = 0.80; \frac{16}{20} = 0.80

Point (1, r) → (1, 0.80) represents the unit rate.

25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.

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Ed bought 3 liters of water, 2,750 milliliters of sports drinks, and 2.25 liters of juice. For numbers 4a-4e, select True or Fal
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3 liters of water=3,000<span>milliliters of water
</span><span>2.25 liters of juice= 2,250milliliters of juice
</span><span>2,750 milliliters of sports drinks,

</span><span>Ed bought 250 milliliters more water than sports drink it is TRUE
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</span><span>Ed bought 50 milliliters more sports drink than juice. it is FALSE
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</span><span>Ed bought 0.5 liter more of sports drink than juice. it is TRUE
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<span>Ed bought 75 milliliters more water than juice. it is FALSE
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