🧮 algebra
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Equivalent Ratios
1. The problem asks us to identify which ratios are equivalent to $12:15$.
2. First, simplify the ratio $12:15$ by dividing both terms by their greatest common divisor (GCD). The G
Equivalent Ratios
1. The problem is to find which ratios are equivalent to $7:35$.
2. First, simplify the ratio $7:35$ by dividing both terms by their greatest common divisor, which is 7:
Equivalent Ratios
1. The problem asks us to find which ratios are equivalent to $12:7$.
2. Two ratios are equivalent if their fractions are equal, so we check if $\frac{12}{7} = \frac{a}{b}$ for eac
Equivalent Ratios
1. **State the problem:** We need to find which ratios are equivalent to the ratio $56:21$.
2. **Simplify the given ratio:** Simplify $56:21$ by dividing both terms by their greate
Exponential Equation
1. **State the problem:** Solve the equation $$(27 \cdot 3^x)^x = 27^x \cdot 3^{\frac{1}{x}}.$$\n\n2. **Rewrite the bases in terms of 3:** Note that $27 = 3^3$, so substitute to ge
Equivalent Ratios
1. The problem asks us to find which ratios are equivalent to 18:3.
2. First, simplify the ratio 18:3 by dividing both terms by their greatest common divisor, which is 3.
Equivalent Ratios
1. The problem asks us to identify which ratios are equivalent to $1:7$.
2. Two ratios $a:b$ and $c:d$ are equivalent if $\frac{a}{b} = \frac{c}{d}$.
Equivalent Ratios
1. The problem asks to select all ratios equivalent to $5:15$.
2. First, simplify the ratio $5:15$ by dividing both terms by their greatest common divisor (GCD), which is 5.
Exponential Equation
1. **State the problem:** Solve the equation $$(27 \cdot 3^x)^x = 27^x \cdot 3^{\frac{1}{x}}.$$\n\n2. **Rewrite the bases in terms of 3:** Note that $27 = 3^3$, so substitute to ge
Exponential Equation
1. Stating the problem: Solve the equation $$(27 \cdot 3^x)^x = 27^x \cdot 3^{\frac{1}{4}}$$ for $x$.
2. Rewrite the bases as powers of 3 since $27 = 3^3$:
Equivalent Ratios
1. The problem asks us to find which ratios are equivalent to $8:14$.
2. First, simplify the ratio $8:14$ by dividing both terms by their greatest common divisor (GCD), which is 2:
Equivalent Ratios
1. The problem is to determine which ratios are equivalent to $7:9$.
2. Two ratios $a:b$ and $c:d$ are equivalent if $\frac{a}{b} = \frac{c}{d}$.
Equivalent Ratios
1. The problem asks to find which ratios are equivalent to $4:21$.
2. Two ratios are equivalent if their fractions are equal, i.e., $\frac{a}{b} = \frac{c}{d}$.
Equivalent Ratios
1. The problem asks to select all ratios equivalent to 10:5.
2. First, simplify the ratio 10:5 by dividing both terms by their greatest common divisor (GCD), which is 5.
Equivalent Ratios
1. The problem asks us to find which ratios are equivalent to $11:3$.
2. Two ratios $a:b$ and $c:d$ are equivalent if $\frac{a}{b} = \frac{c}{d}$.
Equivalent Ratios
1. The problem asks to identify which ratios are equivalent to $7:2$.
2. Two ratios are equivalent if their fractions are equal. Convert each ratio to a fraction:
Equivalent Ratios
1. The problem asks us to find which ratios are equivalent to $5:4$.
2. Two ratios $a:b$ and $c:d$ are equivalent if $\frac{a}{b} = \frac{c}{d}$.
Equivalent Ratios
1. **State the problem:** We need to identify which ratios among 6:15, 25:10, and 12:30 are equivalent to the ratio 2:5.
2. **Understand equivalent ratios:** Two ratios $a:b$ and $
Bus Fare Revenue
1. **State the problem:**
We have a bus fare initially at 5.50 per person, transporting 800 people daily. For every decrease of 0.05 in fare, 10 more people ride the bus. We define
Penjumlahan Pecahan
1. Tentukan hasil penjumlah
**a. Hitung $\frac{1}{3} + \frac{6}{7}$**
Matrices Determinantes
1. Planteamos el problema: Resolver la ecuación
$$\left| \begin{matrix} 5 & -1 \\ 2 & x \end{matrix} \right| + 3 \left| \begin{matrix} 8 & 1 \\ 1 & x \end{matrix} \right| = 28$$