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Questions in mathematics

[Jawaban] Compare each set of numbers. Write a greater than (>), less than (<), or equal to (=) sign in the box. Greater than >, Less than <, Equal to = 1. 5 > 3 2. 8 < 12 3. 17 > 8 4. 13 = 13 5. 3 > 2 6. 7 < 16 7. 6 = 6 8. 9 < 12 9. 20 > 15 10. 10 < 20

[Jawaban] Directions: Find the degree of each monomial. 1. 6x³ -&gt; ____ 2. -2a²b⁴ -&gt; ____ 3. 5 -&gt; ____ 4. -7m³n²p -&gt; ____ 5. (1/3)xy² -&gt; ____

[Jawaban] Convert the following into Roman numerals: a) 14 b) 78 c) 54 d) 129 e) 45 f) 282 g) 313 h) 28 i) 167 j) 99 k) 27 l) 850

[Jawaban] 1. Bija bought two motorcycles, each costing ₹37,842. He sold one for ₹39,246 and the other for ₹36,842. Did he lose or gain? If so, how much? 2. The distance between a city in India and a city in the United States is 24,800 km. An aeroplane travels at a speed of 800 km/h. If it takes 400 litres of aviation fuel for the plane to be in air for one hour, how many litres of petrol will be used for this journey? 3. A cross-country relay race was arranged between the two towns of Usmanpur and Rampur. Each participant ran 750 m with a flag and handed over the flag to the next runner. If it took 62 participants to run this distance from the starting point to the finishing point, what is the total distance travelled by them? Give the answer in kilometres.

[Jawaban] If the directrix of a parabola is the horizontal line [tex]$y=3$[/tex], what is true of the parabola? A. The focus is at [tex]$(0,3)$[/tex], and the equation for the parabola is [tex]$y^2=12 x$[/tex]. B. The focus is at [tex]$(0,-3)$[/tex], and the equation for the parabola is [tex]$x^2=-12 y$[/tex]. C. The focus is at [tex]$(3,0)$[/tex], and the equation for the parabola is [tex]$x^2=12 y$[/tex]. D. The focus is at [tex]$(-3,0)$[/tex], and the equation for the parabola is [tex]$y^2=-12 x$[/tex].

[Jawaban] The group frequency table showing distribution of weights of packets of butter is: \begin{tabular}{|c|c|c|} \hline Weight in grams & Tally & Frequency \\ \hline $110.5-$ under 112.5 & III & 3 \\ $112.5-$ under 114.5 & III & 5 \\ $114.5-$ under 116.5 & III II & 7 \\ $116.5-$ under 118.5 & III III & 8 \\ $118.5-$ under 120.5 & III & 3 \\ \hline \end{tabular} The weight written on each packet was 116.5 g. How many packets were under this weight?

[Jawaban] Miguel tells his teacher that [tex]$\frac{1}{5}$[/tex] is the same as [tex]$20 \%$[/tex]. Which best justifies Miguel's answer? A. 5 goes into 100 twenty times, so [tex]$20 \%$[/tex] is the answer. B. 5 goes into 20 four times, and 5 times 4 is 20, so [tex]$20 \%$[/tex] is the answer. C. 5 goes into 100 twenty times, and 1 times 20 is 20, so [tex]$20 \%$[/tex] is the answer. D. 5 goes into 20 four times, and 5 times 4 times 1 is 20, so [tex]$20 \%$[/tex] is the answer.

[Jawaban] The table above shows four numeric expressions. Which expression is an integer when it's evaluated? | Expression Name | Expression | |---|---| | E | [tex]$3.8+0$[/tex] | | F | [tex]$0+0.5$[/tex] | | G | [tex]$-8+0$[/tex] | | H | [tex]$9 \div 0$[/tex] | A) G B) F C) H D) E

[Jawaban] Solve for x. $\begin{array}{c} 4(x+2)=4 \\ x=[?] \end{array}$

[Jawaban] Which values of $x$ would make a polynomial equal to zero if the factors of the polynomial were $(x-3)$ and $(x-7)$? A. 3 and 7 B. 3 and -7 C. -3 and 7 D. -3 and -7