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Anton [14]
3 years ago
7

Write the ratio using fraction notation and reduce.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0
<span>Let us first make the units same (like terms). Convert 2 feet into inches since the other term is already in inches. It is 24 inches. Now the ratio is 18 inches to 24 inches. To convert a ratio into a fraction, simply use the first number as the numerator and the second number as the denominator. So the fraction is 18/24. There are common factors in 18 and 24 which can divide both these numbers. 2 is a common factor and when both the numerator and denominator are divided by 2, the fraction becomes 9/12. The next common factor is 3. Divide both the numbers by 3. Now the fraction becomes 3/4. Since there are no more common factors, the fraction is in its lowest form.</span>
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What is the sum? (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)
levacccp [35]
<span>B. –4g4 – 3g3 + 4g2 + 5g + 3</span>

Hope it helped!
4 0
4 years ago
Read 2 more answers
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
Aneli [31]

Answer: Hello your question is incomplete below is the missing part

Which of the following statements about Hannah’s claim is supported by the interval?

A) Hannah is likely to be incorrect because the difference in the sample means was 18.6−14.4=4.218.6−14.4=4.2 hours.

B) Hannah is likely to be incorrect because 9 is not contained in the interval.

 C)The probability that Hannah is correct is 0.99 because 9 is not contained in the interval.

 D)The probability that Hannah is correct is 0.01 because 9 is not contained in the interval.

 E)Hannah is likely to be correct because the difference in the sample means (18.6−14.4=4.2)(18.6−14.4=4.2) is contained in the interval.

Answer :  Hannah is likely to be incorrect because 9 is not contained in the interval. ( B )

Step-by-step explanation:

The statement that is supported by the interval in Hannah's claim is that

Hannah is likely to be incorrect because 9 is not contained in the interval.

5 0
3 years ago
A supplier sells 214 2 1 4 pounds of mulch for every 113 1 1 3 pounds of gravel. The supplier sells 172 pounds of mulch and grav
Dennis_Churaev [7]

Answer:

2.25 + 1 1/3=3.5833333 combined number of pounds of mulch and gravel sold.

2.25/3.583333 X 172=108 pounds of mulch that the supplier sells

(1 1/3) / 3.583333 X 172=64 pounds of gravel that the supplier sells.

Step-by-step explanation:

Let 'x' = pounds of gravel        The ratio of mulch to gravel is given  2 1/4  /  1 1/3   Which equals  9/4  /  4/3     =   27/16

So the total gravel and much is equal to   x + 27/16x = 172  

Solving for 'x'

43/16 x = 172    

x = 172 (16/43) = 64 pounds of gravel  Mulch = 27/16x = 64 (27/16)= 108 pounds

3 0
4 years ago
In AABC, EF | AB. What is the ratio of BC to FC?
lara31 [8.8K]

Answer:

$ \frac{\textbf{BC}}{\textbf{FC}}} = \frac{ \textbf{7 }}{\textbf{4}} $

Step-by-step explanation:

Given that EF ║ AB.

So, we have: $ \frac{   \textbf{CE}} {\textbf{EA}} = \frac{ \textbf{CF}} {\textbf{FB}} $

Also, $ \frac{ \textbf{AC}} {\textbf{CE}} = \frac{\textbf{CB}}{\textbf{CF}} $

Note that: AC = CE + EA =  3 + 4 = 7 and CE = 3

Therefore, $ \frac{CB}{CF} = \frac{7}{4} $

Hence, the answer.

8 0
3 years ago
The assignment problem constraint x31 + x32 + x33 + x34 ≤ 2 means
Step2247 [10]

The assignment problem is some of the significant combinatorial optimization difficulties in the division of operations research in mathematics. It contains of looking for a supreme weight matching in a weighted bipartite graph. The assignment problem constraint means that agent 3 can be assigned to no more than two tasks.

8 0
3 years ago
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