Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 225 hours. How long will it take Maria to do the job alone?
2 2 = 12 Together time, 2 2 , needs to be converted to fraction 555
Adan:3,Maria:x,Total: 5 Clearlystatetimesforeachandtotal,usingxforMaria 12
1+1= 5 Usingreciprocals,addtheindividualtimesgivestotal 3 x 12
1
1(12x) + 1(12x) = 5(12x) 3 x 12
4x+12=5x −4x −4x 12=x It takes Maria 12 hours
Multiply each term by LCD of 12x
Reduce each fraction
Move variables to one side, subtracting 4x Our solution for x
Answer is - 12 hours
Answer:
7 large stuffed animals and 20 small ones
Explanation:
Solve the system of equations
13S + 12L = 350
S + L = 27
L = 7
S = 20
The phrases from each of the sentences are most likely:
- <u>Participial phrase
</u>
- <u>Infinitive phrase
</u>
- <u>Gerund phrase</u>
- A participial phrase is the collection of words in a sentence which is made up of a participle, and a modifier. They perform various functions in a sentence such as being either the objects, or adding extra meaning to the word.
- An infinitive phrase is a group of words which has an infinitive and also gives extra information about another word.
- A Gerund phrase is a collection of words which has a gerund and another word which modifies a word. Some examples include: "Biking is such a fun sport".
- An infinitive is a word that usually begins with a verb "to + extra word" for example, to eat, to walk, etc.
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The proportion of field mice weighing more than 33 grams in the distribution will be about 0.2275
- Mean, μ = 25 grams
- Standard deviation, σ = 4 grams
- Score, X = 33 grams
We need to calculate the P(Z > Zscore)
Recall :
Zscore = (X - μ) ÷ σ
For X > 33 :
Zscore = (33 - 25) ÷ 4 = 2
Therefore, the probability would be expressed as :
P(Z > 2) = 1 - P(Z < 2)
From the normal distribution table :
P(Z < 2) = 0.97725
Therefore,
P(Z > 2) = 1 - 0.97725 = 0.02275
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