<u>Answer: </u>
If they worked together it would take 4 hours for the machines to produce 100 widgets
<u>Step-by-step explanation:</u>
w = widgets hr = hour ph = per hour
Old machine - 50w = 5hr = 10ph
New machine - 30w = 2hr = 15ph
Old machine - 20w = 2hr
New machine - 30w = 2hr
<h3>Together - 50w = 2hr x 2 </h3><h3> Final: 100w = 4hr</h3>
I hope this helped!
Answer:

Step-by-step explanation:
Given

Required
Determine the initial value
The initial value of any equation is the point where

Substitute 0 for x in 



<em>Hence, the initia; value is -6</em>
Answer:
1. h
2. k
3. d
4. j
5. m
6. n
7. a
8. l
9. e
10. c
11. f
12. i
13. g
14. b
Step-by-step explanation:
1. a quotient of two quantities -> h. fraction
2. a quotient that involves variables -> k. algebraic fraction
3. numbers that would result in division by zero -> d. exclusions
4. multiply the numerators and multiply the denominators for a new fraction -> j. multiplication of fractions
5. multiply by the reciprocal of the divisor -> m. division of fractions
6. the denominators must be the same -> n. addition of fractions
7. contains a fraction in the numerator, denominator, or with the denominator -> a. complex fractions
8. a new fraction resulting from the interchanging of the numerator and denominator -> l. reciprocal
9. the dividend of a fraction -> e. numerator
10. the divisor in a fraction -> c. denominator
11. the lowest common multiple of denominators -> f. lowest common denominator
12. a combination of integral and fractional expressions -> i. mixed expression
13. an equation that contains fractions -> g. fractional equation
14. a statement that two fractions are equal -> b. proportion
Answer:
A) quantitative
Step-by-step explanation:
A data that can be counted or expressed numerically constitute quantitative data. Quantitative data collection method is capturing statistical data in numbers, figures, or values. Quantitative data collection usually answered the questions of “how many?”, "how much?" and “how often?” are the occurrence of a particular data. These questions are quantitative data collection methods based on numbers and mathematical calculations. Quantitative data collection methods are based on random sampling and structured data collection. Some of the quantitative data collection methods are surveys, questionnaires, quizzes, interviews and direct observation.