Questions in mathematics

Questions in mathematics

📝 Answered - Express the following ratios in their simplest form: a. 20:50 b. 32:12 c. 1/2 : 3/4 d. 1.5 : 4.5 e. 0.6 : 3

📝 Answered - A buyer would like to purchase four acres of land at $15,000 per acre. How much will this cost?

📝 Answered - Evaluate: [tex]\begin{array}{c} \sum_{n=1}^5 3(4)^{n-1} \\ S=[?]\end{array}[/tex] Remember: for a geometric series, [tex]S=\frac{a\left(1-r^n\right)}{1-r}[/tex]

📝 Answered - What is the value of $x$ if $5^{x+2}=5^9$? A. $x=-11$ B. $x=-7$ C. $x=7$ D. $x=11$

📝 Answered - f(x) = 5x - (4+7x)/3 Find two points on the line to graph the function.

📝 Answered - Which step has an incorrect instruction? | 2 | Simplify by combining like terms. | $-\frac{5}{2}+x=-\frac{7}{4}$ | |---|---|---| | 3 | Use the addition property of equality. | $-\frac{5}{2}+\frac{5}{2}+x=-\frac{7}{4}+\frac{5}{2}$ | | 4 | Use multiplication to find equivalent fractions. | $-\frac{5}{2}+\frac{5}{2}+x--\frac{7}{4}+\frac{10}{4}$ | | | Simplify by combining like terms. | $x=\frac{3}{4}$ | Step 1 Step 2 Step 3 Step 4

📝 Answered - Which expression is equivalent to $(f g)(5)$? A. $f(5) \times g(5)$ B. $f(5)+g(5)$ C. 5 f(5) D. $5 g(5)$

📝 Answered - Using six random samples, the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be [tex]$\frac{5.7}{20}=\frac{x}{200}$[/tex] What is the predicted number of catfish in the pond?

📝 Answered - Simone used this formula to find the height of a triangle: [tex]$a=\frac{1}{2} b h$[/tex] She knew the area, [tex]$a$[/tex], and [tex]$b$[/tex], the base of the triangle. How can she rearrange the formula to isolate [tex]$h$[/tex] to find the height, [tex]$h$[/tex]? A. divide both sides by 2, divide by [tex]$h$[/tex] B. divide both sides by 2, multiply by [tex]$h$[/tex] C. multiply both sides by 2, multiply by [tex]$b$[/tex] D. multiply both sides by 2, divide by [tex]$b$[/tex]

📝 Answered - Study the above diagram of the Earth that shows different plans of latitude that slice through the Earth. If the radius of the Earth at its equator is 6,370 km, how many kilometers would you have to travel if you went around the Earth at its equator? Round your answer to the nearest km.