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Questions in mathematics

[Done] Select the correct answer from each drop-down menu. Megan's commute to work includes an 8-mile drive and a 21-mile train ride. This expression can be used to find the total time it takes Megan to get to work, where $x$ is her average driving speed in miles/hour. [tex]\frac{5}{x}+\frac{21}{x+20}[/tex] The average speed of the train is represented by [ ]. When Megan drives at an average speed of 45 miles/hour, it takes her approximately [ ] to get to work.

[Done] What is the opposite of dividing by 30? A. adding 30 B. multiplying by 30 C. subtracting 30 D. dividing by 30

[Done] Write $\sqrt[5]{c^8}$ as an expression with a rational exponent. A. $c^{\frac{5}{8}}$ B. $c^{40}$ C. $c^{\frac{8}{5}}$ D. $c^{13}$

[Done] Complete the work to determine the value of $a$. 1. Use the law of sines: $\frac{\sin (A)}{a}=\frac{\sin (B)}{b}$. 2. Substitute: $\frac{\sin (45^{\circ})}{a}=\frac{\sin (77^{\circ})}{8}$. 3. Cross multiply: $8 \sin (45^{\circ})=a \sin (77^{\circ})$. 4. Solve for $a$ and round to the nearest hundredth: $a \approx$ $\square$ .

[Done] Students from School A and School B were asked whether they watch TV or use the Internet after finishing their homework. The two-way table shows the results from the two surveys. Which statement is true? A. More students do both activities at A than at B. B. More students watch TV at B than at A. C. More students do neither activity at B than at A. D. More students were surveyed at A than at B.

[Done] 4. 2,999,999 < 3,000,000 5. 8,505,000 > 8,504,999 Section D: Ordering Numbers Arrange the numbers in ascending order: 1. 5,023,000 - 4,999,000 - 5,001,000 - 5,010,000 Answer: 2. 7,500,000 - 6,800,000 - 7,800,000 - 6,500,000 Answer:

[Done] Ms. Clementine decided to borrow R30,000 from the bank for 4 years at an interest rate of 18% per annum simple interest. Calculate how much the interest on her loan will be after four years?

[Done] One of the angles formed by two intersecting lines is 50° less than the other. Find the measure of all angles.

[Done] A person estimated the length and width of a room by counting strides. The length of his stride is 0.8 m long. He counted ten strides along the length and six strides along the width. If the actual length was 9 m and 5 m respectively, determine the percentage error made in estimating the length and width.

[Done] [\begin{array}{ll} 1 & 2 \\ 2 & 5 \\ 4 & 0 \end{array}] \cdot[\begin{array}{ll} 3 & 7 \\ 0 & 2 \end{array}]=[\begin{array}{ll} a_{11} & a_{12} \\ a_{21} & a_{22} \\ a_{31} & a_{32} \end{array}]