🧮 algebra

1. The problem states that the fraction of girls is $\frac{3}{4}$. This means that out of a total group, three parts out of four are girls. 2. To understand this fraction, imagine

1. The problem states that the ratio of boys to girls is 1:3. 2. This means for every 1 boy, there are 3 girls.

1. The problem is to find the square root of 100 using the method of repeated subtraction. 2. The method of repeated subtraction for square roots involves subtracting consecutive o

1. The problem gives a sequence starting with the first term $a_1 = 11$ and a term-to-term rule: subtract 5 to get the next term. 2. To find the 5th term, we apply the rule repeate

1. Stating the problems: a) Solve the equation $\frac{t}{3} + 7 = 8$ for $t$.

1. State the problem: Solve the equation $$8 = \frac{7 + y}{4}$$ for $y$. 2. Multiply both sides of the equation by 4 to eliminate the denominator:

1. We are given the equation $$\frac{8 + v}{5} = 6$$ and need to find the value of $v$. 2. To isolate $v$, first multiply both sides of the equation by 5 to eliminate the denominat

1. **State the problem:** Solve for $t$ in the equation $$3 = \frac{t + 1}{5}.$$\n\n2. **Isolate the variable:** Multiply both sides of the equation by 5 to eliminate the denominat

1. The problem is to find the points of intersection between the curves given by the equations $y = x^2 + x$ and $y = -x + 3$. 2. To find the intersection points, set the two expre

1. **State the problem:** Find the square root of 4094 using the prime factorization method. 2. **Prime factorize 4094:**

1. **State the problem:** A restaurant sells cheese pizzas originally priced at 12 each, selling 250 pizzas daily. A 20% discount is applied, and sales increase by 18%. We need to

1. **State the problem:** We need to find the most cost-efficient virtual training program among A, B, C, and D for 10 new employees, considering program cost, administration fee,

1. Stating the problem: Solve the equation $$2y + \frac{5}{3} = \frac{26}{3} - y$$ for $y$. 2. First, add $y$ to both sides to get all $y$ terms on one side:

1. **State the problem:** We need to find the range of the values $\frac{7}{3}$, $2 \frac{5}{12}$, $-1 \frac{7}{12}$, and $-\frac{5}{3}$. The range is the difference between the ma

1. ভাগশেষ উপপাদ্য (Remainder Theorem) বলে যে, কোনো বহুপদীকে যখন একটি রৈখিক বহুপদী দ্বারা ভাগ করা হয়, তখন ভাগশেষটি সমান হয় সেই রৈখিক বহুপদীতে শূন্য স্থানে বসিয়ে প্রাপ্ত মানের সাথ

1. The problem is to solve the equation step by step. Since no specific equation was provided, let's consider a general example: solve for $x$ in the equation $2x + 3 = 7$. 2. Star

1. **State the problem:** XYZ Company bought a machine for 50000 and profits start at 7876 in March, increasing by 2% each month. We want to find the month when total profits equal

1. The problem states that Hannah saved amounts of 13, 58, 11, 22, and 11 pounds in the first 5 weeks. 2. We are told the mean amount saved over 6 weeks is 22 pounds.

1. Problem: A product's sale price at 20% discount is 480. Find its sale price at 20% profit value. Step 1: Let the marked price be $M$.

1. The problem is to find the square root of 64 using the prime factorization method. 2. First, express 64 as a product of its prime factors.

1. **State the problem:** Find the median of the values $\frac{4}{3}$, $-2 \frac{1}{3}$, $1 \frac{4}{5}$, $-1 \frac{3}{5}$, and $-\frac{5}{3}$.\n\n2. **Convert all mixed numbers to