Act Exam Prep (Math And English)

Explanation
To find the value of b, we can solve the equation 5(b-3)=20. First, we can distribute the 5 to get 5b - 15 = 20. Then, we can add 15 to both sides to isolate the variable, resulting in 5b = 35. Finally, we divide both sides by 5 to solve for b, giving us b = 7. Therefore, the correct answer is 7.

Explanation
To simplify the expression (3/4 - 2/3) × 6/5, we first find the common denominator for 4 and 3, which is 12. We then convert 3/4 and 2/3 to have a denominator of 12. This gives us (9/12 - 8/12) × 6/5. Simplifying the numerator, we get 1/12 × 6/5. Multiplying the numerators gives us 6/60, which simplifies to 1/10. Therefore, the correct answer is 1/10.

Explanation
The question states that 12% of the 175 people are regular at coming to the Catholic church. To find the number of people who come regularly, we can calculate 12% of 175, which is 0.12 * 175 = 21. Therefore, the number of people who come regularly is 21. It is also given that 56 people come twice a month. To find the number of remaining people, we subtract the number of people who come regularly and those who come twice a month from the total number of people. Therefore, the number of remaining people is 175 - 21 - 56 = 98.

Explanation
The number 70600 can be written in standard form as 7.06×10^4. In standard form, a number is expressed as a decimal between 1 and 10 multiplied by a power of 10. In this case, the decimal is 7.06 and the power of 10 is 4. This means that the original number can be written as 7.06 multiplied by 10 raised to the power of 4, which is 7.06×10^4.

Explanation
The car depreciates by 12% in the first 6 months, which means its value decreases by 12% of $1.8 million. To find the value after 6 months, we subtract 12% of $1.8 million from the original price. 12% of $1.8 million is $0.216 million. Subtracting this from $1.8 million gives us $1.584 million. Rounded to 2 significant figures, the value after 6 months is $1.6 million.

Explanation
The correct answer is "Is" because the subject "Either you or Ade" is singular, so the verb should also be singular. In this case, "is" is the singular form of the verb "to be" that agrees with the subject.

Explanation
To find the value of 2z - y, we can use the given equations. We have two equations: z + y = 8 and 4z - y = 22. We can solve these equations simultaneously to find the values of z and y. By adding the two equations, we get 5z = 30, which means z = 6. Substituting this value into the first equation, we get 6 + y = 8, so y = 2. Now, substituting the values of z and y into 2z - y, we get 2(6) - 2 = 12 - 2 = 10. Therefore, the value of 2z - y is 10.

Explanation
The given problem states that one part should be 45% of the other. To find the two parts, we can set up an equation. Let's assume one part is x, then the other part would be 0.45x. The sum of these two parts should equal 174. So, we have the equation x + 0.45x = 174. Simplifying this equation gives us 1.45x = 174. Dividing both sides by 1.45 gives us x = 120. Therefore, one part is 120 and the other part is 0.45 * 120 = 54.

Explanation
In the given formula M = m(v - u), we need to make u the subject. To do this, we can rearrange the formula as v - u = M/m. Now, to isolate u, we can subtract v from both sides of the equation. This gives us -u = M/m - v. To make u the subject, we can multiply both sides of the equation by -1, which gives us u = v - M/m. Therefore, the correct answer is V - M/m.

Explanation
The correct answer is "were" because the subject "the man and his sons" is plural, indicating that there is more than one person involved. Therefore, the verb "were" agrees with the subject in number.