🧮 algebra

1. Calculate the value of $r$ given $r = 2a - \frac{\sqrt{b}}{c}$, $a = 0.975$, $b = 4.41$, $c = 35$. Step 1: Calculate $\sqrt{b} = \sqrt{4.41}$.

1. The problem is to simplify the expression $3(a+b-2)$. 2. Apply the distributive property which states $c(x+y) = cx + cy$. Here, multiply each term inside the parentheses by 3:

1. The problem is to simplify the expression $\frac{\sqrt{5-7}}{\sqrt{5}+\sqrt{7}}$. 2. First, simplify inside the square root in the numerator: $5 - 7 = -2$.

1. The problem asks to find the greatest common divisor (GCD) for two pairs of integers involving the variable $n$. 2. For part (a), find $\gcd(-7, \ 2n + 3)$.

1. The problem asks for the maximum number of people who live in Birmingham given that the population is rounded to the nearest 1000 as 1 020 000. 2. When rounding to the nearest 1

1. The problem is to solve the inequality $$-| -6v - 5| - 7 < -19$$ for the variable $v$. 2. First, isolate the absolute value term. Add 7 to both sides:

1. We are asked to solve the inequality $$4|4p - 5| - 6 \leq 10$$ for $p$. 2. Start by isolating the absolute value term:

1. **State the problem:** Solve the inequality $$-3|{-t}| - 3 \leq -16$$ for the variable $$t$$. 2. **Simplify the absolute value expression:** Note that $$|{-t}| = |t|$$ because a

1. We are given the inequality $$\frac{2 - x}{x - 2} > \frac{x}{x}$$ and the domain restriction $$1 \leq x < 3$$. 2. Notice that $$\frac{2 - x}{x - 2} = \frac{-(x - 2)}{x - 2} = -1

1. **State the problem**: Solve the inequality $$4 - 8|w - 7| \geq -20$$ for the variable $$w$$ and express the solution as a compound inequality. 2. **Isolate the absolute value t

1. The problem is to solve the inequality $$5|z| + 3 > 54$$ for the variable $z$. 2. First, isolate the absolute value term by subtracting 3 from both sides:

1. The problem statement is incomplete. Usually, "Solve normally" refers to solving an equation or expression using standard algebraic methods. 2. Please provide the specific equat

1. We are given the inequality $$|y + 1| < 55$$ and asked to solve for $y$. 2. Recall that for an absolute value inequality of the form $$|A| < B$$, where $B > 0$, the solution is

1. The problem is to evaluate the expression $$Q_1=L+\frac{\left(\frac{1}{4}N-\text{cfb}\right)}{f_1} i$$ given \(L=23.5\), \(N=50\), \(\text{cfb}=9\), \(f_1=8\), \(i=3\). Here, \(

1. The problem states the inequality $4|r| \geq 29$. We need to solve for $r$. 2. First, isolate the absolute value expression by dividing both sides by 4:

1. The problem is to solve the inequality $$3|u| + 2 > 29$$ for the variable $$u$$. 2. Begin by isolating the absolute value term.

1. **State the problem:** Solve the inequality $$|2c| - 6 \geq 88$$ for $$c$$. 2. **Isolate the absolute value:** Add 6 to both sides:

1. Let's clarify the problem you are referring to about adding 2 and multiplying by 2. 2. Usually, adding 2 then multiplying by 2 means an operation like this: start with a number

1. We are given the inequality $$|b + 4| \geq 73$$ and need to solve for the variable $$b$$. 2. Recall that for an absolute value inequality $$|x| \geq a$$ where $$a \geq 0$$, the

1. State the problem: Solve the inequality $$|8d| - 2 \geq 14$$ for $$d$$ and write the answer as a compound inequality. 2. Isolate the absolute value expression:

1. **Rewrite the equation (a) and (b) in standard form**. (a) Given: $2x = 6 - y$