🧮 algebra

1. The problem states that the price including VAT (Value Added Tax) at 15% is R402.50. 2. We need to find the VAT amount included in this price.

1. The problem is to calculate the percentage of a part relative to a whole. 2. The formula to calculate percentage is:

1. The problem states that a sales representative earns an 8% commission, and the commission amount is 19,600. 2. We need to find the total sales value that corresponds to this com

1. The problem is to evaluate the expression $1 + 3.322 \log_{10}(10)$.\n\n2. Recall that $\log_{10}(10) = 1$ because 10 raised to the power 1 equals 10.\n\n3. Substitute $\log_{10

1. The problem asks for the percentage decrease in operating expenses when they fall from 1,250,000 to 1,175,000. 2. Calculate the decrease in expenses:

1. The problem is to compute the difference between the fractions $\frac{5}{6}$ and $\frac{1}{4}$. 2. To subtract fractions, first find a common denominator. The denominators are 6

1. **Problem Statement:** Evaluate the function $f(x) = 3x^2 - 1$ for the values $x=2$ and $x=\frac{1}{2}$.\n\n2. **Step for part b) $f(2)$:**\nSubstitute $x=2$ into the function:

1. Let's consider the problem: Solve the quadratic equation $$x^2 - 5x + 6 = 0$$. 2. To solve this, we can factor the quadratic expression. We look for two numbers that multiply to

1. **Common Monomial Factoring**: Factor out the greatest common monomial factor from all terms. Formula: $$a x^m + b x^n = x^{\min(m,n)}(a x^{m-\min(m,n)} + b x^{n-\min(m,n)})$$

1. The problem asks to simplify the ratio $0.9 : 1.5 : 2.4$ into the simplest integer form. 2. To simplify, first express each number as a fraction or multiply all by a common fact

1. **State the problem:** We need to find the VAT amount included in a total price of 402.50 when the VAT rate is 15%. 2. **Understand the relationship:** The total price includes

1. **State the problem:** A sales representative earns an 8% commission. If the commission amount is 19600, we need to find the total sales value. 2. **Define variables:** Let the

1. The problem is to compute the difference between the fractions $\frac{5}{6}$ and $\frac{1}{4}$.\n\n2. To subtract these fractions, we need a common denominator. The denominators

1. The problem is to convert the decimal number 0.0725 into a simplified fraction. 2. First, write 0.0725 as a fraction with denominator 10000 because it has four decimal places: $

1. **State the problem:** Simplify the expression $5x + 2y - 4y + 3x$. 2. **Group like terms:** Combine the terms with $x$ and the terms with $y$ separately.

1. The problem asks for the value of 2 cubed. 2. Cubing a number means raising it to the power of 3, so we calculate $2^3$.

1. **Find OM in terms of p and r.** Since the problem does not provide a diagram or further context, we assume OM is a segment related to p and r by a geometric or algebraic relati

1. Тодорхойлсон тоог бичье: $0.363636\ldots$ нь $0.36$ гэсэн давтагдсан аритметик тоо юм. 2. Давтагдсан аритметик тоог хуваарилах: $x = 0.363636\ldots$

1. Тодорхойлъё, бидэнд $10 \cdot 0.363636\ldots$ гэсэн үржвэр байна. 2. $0.363636\ldots$ нь давтагдсан аритметик тоо бөгөөд үүнийг хялбар хэлбэрт оруулъя.

1. The problem states that the function $h$ is given by: $$h(x) = 4x^{2} - 9$$

1. The problem is to simplify the expression $$\sqrt[3]{80} \times \sqrt{98}$$. 2. Start by simplifying each radical separately.