🧮 algebra

1. **State the problem:** We need to find Anna's weekly gross pay $P$ given her hourly rates and hours worked, including overtime. 2. **Understand the pay rates:**

1. **State the problem:** Lal's normal rate of pay is 10 per hour. We need to find his new hourly rate after an 8% pay rise. 2. **Formula used:** To calculate the new pay rate afte

1. **State the problem:** Calculate Samu's gross pay for last week given different hourly rates for weekdays, Saturday, and Sunday, and his working hours with unpaid breaks. 2. **H

1. Problem: Odrediti Lagranžov interpolacioni polinom za funkciju $f(x) = 1 - 3^x$ sa čvornim tačkama $x_i = i$, gde je $i = 0, 1, 2, 3$. 2. Prvo izračunavamo vrednosti funkcije u

1. **State the problem:** We are given two equations based on the cost of rackets and squash balls: - The cost of 2 rackets and 3 squash balls is 21.63.

1. The problem states that the ratio of water used for bathing, washing laundry, and washing the car is 9 : 7 : 1. 2. We know the amount of water used for bathing is 144 liters.

1. **State the problem:** We need to solve for $D$ where $$D = 2 \times \sqrt{\frac{3}{2}} - 3 \times \sqrt{\frac{2}{3}} - 1.$$\n\n2. **Recall the properties of square roots and si

1. **Stating the problem:** Simplify the expression $$\frac{16}{35} \times 0.25 \times 35$$. 2. **Convert decimals to fractions:** Note that $$0.25 = \frac{1}{4}$$.

1. **State the problem:** A company gave a total of 15500 to three charities: Charity A received 4000, Charity B received 5500, and Charity C received the remaining amount. We need

1. **State the problem:** Sandy bought three items: a calculator, a thumb drive, and a phone case. The ratio of their costs is 7 : 13 : 4, and the total cost is 72. 2. **Formula an

1. **State the problem:** We have a function $g$ defined on the set $\{-2, 1, 3, 5\}$ with the rule $g(x) = -2x + 1$. We want to find the values of $g(x)$ for each $x$ in the domai

1. **State the problem:** Solve the equation $$(2x + 5)^2 = (2x + 3)(2x - 1)$$ for $x$. 2. **Use the formula and expand both sides:**

1. We gaan een oefening over machten uitleggen. 2. Een macht is een manier om een getal meerdere keren met zichzelf te vermenigvuldigen. Bijvoorbeeld, $a^n$ betekent dat je het get

1. **State the problem:** We want to show that $$\frac{\sqrt{12}}{\sqrt{3}+2}$$ can be written in the form $$a + \sqrt{b}$$ where $$a$$ and $$b$$ are integers. 2. **Recall the form

1. **State the problem:** Simplify the expression $-\frac{8}{2}\left(-\frac{8}{7}\right)$.\n\n2. **Recall the rules:** Multiplication and division are performed from left to right.

1. **State the problem:** Simplify the expression $-6\left(\frac{4}{5}\right)$.\n\n2. **Recall the rule:** Multiplying a whole number by a fraction means multiplying the numerator

1. El primer problema del usuario es el número 61: Resolver la expresión $2m^2n + 6mn^2 + 8mns$. 2. Para resolver o simplificar esta expresión, buscamos factor común en todos los t

1. **State the problem:** Simplify the expression $\frac{-3}{4} \div \frac{-6}{7}$. 2. **Recall the division rule for fractions:** Dividing by a fraction is the same as multiplying

1. **State the problem:** Simplify the expression $24 \div \left(-\frac{3}{4}\right)$. 2. **Recall the division rule for fractions:** Dividing by a fraction is the same as multiply

1. **State the problem:** Simplify the expression $-12 \div \frac{6}{5}$. 2. **Recall the rule:** Dividing by a fraction is the same as multiplying by its reciprocal. So, $a \div \

1. The problem is unclear as given, but it appears to involve simplifying or solving an expression involving variables $x$ and $y$ and possibly powers or coefficients. 2. Since the