FREEE ACT Question and Answers
Make the term "u" the subject of the equation M = m(v - u)... U=?
Starting with the given formula: V - M/m = u To isolate u, add M/m to both sides of the equation: V - M/m + M/m = u + M/m The M/m terms on the left side cancel out, leaving: V = u + M/m Finally, to get u by itself, subtract M/m from both sides of the equation: V - M/m = u + M/m - M/m M/m terms on the right side also cancel out, and we get: V - M/m = u So, the formula for u is u = V - M/m.
If 9x - 41 = 2(2x - 3), then what is the value of x?
To find the value of x, we need to solve the equation step by step: Distribute the 2 on the right side of the equation: 9x - 41 = 2 * 2x - 2 * 3 Simplify the equation: 9x - 41 = 4x - 6 Move the x terms to one side and the constant terms to the other side: 9x - 4x = 41 - 6 Combine like terms: 5x = 35 Solve for x by dividing both sides by 5: x = 35 / 5 x = 7 So, the value of x that satisfies the equation is x = 7.
I agree with my father that "fishing is fun."
The only response that employs gerunds correctly and is also brief is the right response. Keep in mind that a verb ending in -ing is likely a gerund if it is followed by another verb ("is" in this instance).
Identify b's value if 5(b-3)=20.
Distribute the 5 on the left side of the equation: 5(b - 3) = 20 Simplify the equation: 5b - 15 = 20 Move the constant term (-15) to the right side by adding 15 to both sides: 5b = 20 + 15 5b = 35 Solve for b by dividing both sides by 5: b = 35 / 5 b = 7 So, the value of b that satisfies the equation is b = 7.
Choose the response that produces a statement that is precise, clear, and complies with the rules of standard written English to replace the emphasized area. " Because" the giant squid is a mysterious animal that is rarely observed by humans, scientists are starting to learn more about it by observing it with remote cameras.
The line aims to convey that despite the giant squid's difficulty to study, researchers are constantly coming up with novel approaches. Therefore, rather of demonstrating causality with the term "because," the statement seeks to contrast two ideas. "Although" is the only option that employs a contrasting conjunction, hence it is the right response.
Select the solution that best completes the sentence's emphasized section. Select "NO CHANGE" if the emphasized text is accurate exactly as it is written. On his mother's side, Erik had four uncles, all of whom possessed qualities that made them terrific uncles, but Uncle Stan was unquestionably the "funniest." Erik comes from a huge family.
As superlative adjectives are used in comparisons involving three or more individuals or objects, they must be employed because there are more than four uncles being compared. The acknowledged superlative of the adjective "fun" is "most enjoyable," hence "funnest" is not a real word.
The father and his boys _______ present yesterday.
The complete sentence is: "The man and his sons were here yesterday."
The sentence's emphasized word or phrase should be amended if necessary. When our dance instructor "arrived; and" informed us that we would be learning a new hip-hop number that day.
To be grammatically correct, the conjunction "and" in the first clause needs to be followed by a comma.
It can be enjoyable and frustrating to travel. Keep your passport on you at all times if you leave the country. The xenophobic may prefer a domestic vacation. However, even a short road trip can be scary than staying at home. Simply treating them to a movie might be wise. Select the response that best edits the passage's highlighted passage.
The right comparative adjective to use with "scary" is scarier. When becoming comparative, adjectives with a final "y" remove the "y" and add "ier."
A clothes store gave all of its current stock a 15% discount in order to create room for new product. How much did the jacket go for that was normally $24?
Calculate the amount of discount: Discount = 15% of the regular price Discount = 15/100 * $24 Discount = $3.60 Subtract the discount from the regular price to get the sale price: Sale Price = Regular Price - Discount Sale Price = $24 - $3.60 Sale Price = $20.40 So, the sale price of the jacket is $20.40.
Find the total number of persons in a Catholic church that has 175 members. Of those, 12% are regular attendees, with 56 of them attending twice per month.
Total number of people in the Catholic church = 175 Percentage of regular attendees = 12% Number of people who come twice a month = 56 Now, let's find the number of regular attendees: Number of regular attendees = Total number of people * Percentage of regular attendees Number of regular attendees = 175 * 0.12 Number of regular attendees = 21 Now, let's find the number of remaining people (those who are not regular attendees): Number of remaining people = Total number of people - Number of regular attendees - Number of people who come twice a month Number of remaining people = 175 - 21 - 56 Number of remaining people = 98 So, the number of remaining people (those who are not regular attendees) is 98.
A car costs $1.8 million when it is new, but it loses 12% of its worth in the first six months, bringing its value to 2s.f.
Calculate the depreciation amount: Depreciation = 12% of $1,800,000 Depreciation = 0.12 * $1,800,000 Depreciation = $216,000 Subtract the depreciation amount from the original cost: Value after 6 months = $1,800,000 - $216,000 Value after 6 months = $1,584,000 Rounded to two significant figures, the value of the car after 6 months is $1.6 million.
Solve and simplify (3/4 - 2/3) m6/5.
Step 1: Find a common denominator for (4, 3, and 5), which is 60. Step 2: Convert the fractions to have a denominator of 60: (3/4) * (15/15) = 45/60 (2/3) * (20/20) = 40/60 Step 3: Subtract the fractions: (45/60 - 40/60) = 5/60 Step 4: Simplify the result: 5/60 can be reduced to 1/12 by dividing both the numerator and denominator by 5. So, the correct simplified expression is (3/4 - 2/3) * (6/5) = 1/10.
Choose the response that produces a statement that is precise, clear, and complies with the rules of standard written English to replace the emphasized area. The underlined passage as it appears in the phrase is replicated in one of the response options. The teacher corrected his students, "saying that he was neither pleased with their poor work nor was he willing to accept their rowdy behavior".
"Neither" and "nor," which are correlative conjunctions, go well together. The two possibilities ("pleased with their bad work" and "ready to accept their noisy behavior") in "neither... nor" sentences must be presented in a grammatically parallel manner such that the phrases that follow "neither" and "nor" are parallel.
The standard form of 70600 is...
The number 70,600 in standard form is written as 7.06 × 10^4. In standard form, a number is expressed as a product of a decimal number between 1 and 10 (7.06 in this case) and a power of 10 (10^4 in this case). This representation simplifies large or small numbers and makes them easier to read and work with.
Select the solution that best completes the sentence's emphasized section. Select "NO CHANGE" if the emphasized text is accurate exactly as it is written. "The new law was passed by a two-thirds majority".
Please select 2 correct answers
The action is on the object in passive voice ("The new law was passed"). The subject performs an action in the active voice ("A two-thirds majority passed"). The passive voice frequently employs "to be" supportive verbs (in this case, "was"). Therefore, it is necessary to make sure that the subject takes action and to get rid of supporting verbs that end in "to be," but the past tense does not need to be dropped when rewriting the sentence in the active voice. In actuality, leaving out the past tense changes the timeframe of the activity and is incorrect. This sentence is not the BEST option because "the new law enacted by a two-thirds majority" switches the topic of the sentence from "a two-thirds majority" to "the new law," which should be the target of the action.
Divide 174 in half, with one half being 45% of the other.
The equation can be written as: x + 0.45x = 174 Combine like terms: 1x + 0.45x = 1.45x Now, solve for x: 1.45x = 174 Divide both sides by 1.45 to find the value of x: x = 174 / 1.45 x = 120 So, one part of the division is 120. To find the other part, which is 45% of 120, multiply 120 by 0.45: 0.45 * 120 = 54 Thus, the two parts are 54 and 120.
Select the phrase or word that best finishes the sentence. Of all the performances, he was the ________ .
The line implies that there were more than two performances, hence a superlative adjective is required rather than a comparative one. Since "funnier" and "more hilarious" are comparative adjective forms, they are both erroneous. "Most funniest" is likewise erroneous because "more" and "most" are used to modify the original adjective (in this example, "funny"). "Funny" is neither a superlative nor a comparative adjective by itself. "Funny" is also not an acceptable response because it indicates that there is no comparison. "Funniest" is the right response.
Select the solution that best completes the sentence's emphasized section. Select "NO CHANGE" if the emphasized text is accurate exactly as it is written. Micaela "said sleep" when asked what her favorite pastime was.
The gerund "sleeping" is preferable to the word "sleep" in this situation. A gerund is a verb that operates like a noun but ends in "-ing," like a participle (instead of an adjective). The gerund form is preferable in this context since it is more "active" than just the regular noun as Micaela is being asked about an activity.
Either you or Mae With the kettle.
The verb "is" is used if the subject is singular (referring to one person), and "are" is used if the subject is plural (referring to multiple people). The correct form depends on the context and whether "you" and "Ade" are singular or plural in the given situation.
If z + y = 8 and 4z - y = 22, calculate the value of 2z - y.
Now, let's calculate the value of 2z - y: 2z - y = 2 * (14/3) - 10/3 2z - y = 28/3 - 10/3 2z - y = 18/3 2z - y = 6