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Questions in mathematics

[Done] 3. Write the number names. One has been done for you. a) 1479 one thousand four hundred seventy-nine b) 3682 c) 6514 d) 7490 e) 7847 f) 3064 g) 9708 h) 6000 i) 2952 j) 4609 4. Write the numbers. One has been done for you. a) Seven thousand two hundred fifteen b) Eight thousand three hundred one

[Done] A teacher wrote the numbers from 10 to 20 on number cards and asked a Grade 9 learner to select a card at random. Determine the probability that the number of the card picked is: (a) a prime number; (b) an even number.

[Done] Find the mean number of oranges kept in each basket. Which method of finding the mean did you choose? | Number of oranges | 10-14 | 15-19 | 20-24 | 25-29 | 30-34 | |---|---|---|---|---|---| | Number of baskets | 15 | 110 | 135 | 115 | 25 |

[Done] Answer each question about the following arithmetic series: [tex]12+18+24+30+\ldots+198[/tex] What is the explicit rule for the arithmetic sequence on which the series is based? [tex]a_n=12 +(n-1) 6[/tex] How many terms are in the series? [tex]n=[/tex]

[Done] Multiply. $4 \sqrt{2} \times 6 \sqrt{18}$ A. $20 \sqrt{5}$ B. $144 \sqrt{2}$ C. 144 D. $24 \sqrt{6}$

[Done] If [tex]f(x)=\frac{x-3}{x}[/tex] and [tex]g(x)=5 x-4[/tex], what is the domain of [tex](f \circ g)(x)[/tex]? A. [tex] \{x \mid x \neq 0\} [/tex] B. [tex]\left\{x \left\lvert\, x \neq \frac{1}{3}\right.\right\}[/tex] C. [tex]\left\{x \left\lvert\, x \neq \frac{4}{5}\right.\right\}[/tex] D. [tex] \{x \mid x=3\} [/tex]

[Done] Drag each tile to the correct box. Paul orders 3 different sizes of pizzas. Each pizza is cut into equal-sized slices as described in the table. Put the pizzas in order by the area of a slice from smallest area to largest area. \begin{tabular}{|c|c|c|} \cline { 2-3 } \multicolumn{1}{c|}{} & Radius (inches) & Number of Slices \\ \hline Pizza 1 & 16 & 8 \\ \hline Pizza 2 & 14 & 6 \\ \hline Pizza 3 & 12 & 4 \\ \hline \end{tabular} slice from pizza 2 slice from pizza 3 slice from pizza 1 $\square$ < $\square$ < $\square$

[Done] Jake buys a new car for $18,259. Each year [tex]$x$[/tex] after he buys the car, its value [tex]$y$[/tex] depreciates by $445. Which equation models the relationship between [tex]$x$[/tex] and [tex]$y$[/tex]? A. [tex]$y=-445 x+18259$[/tex] B. [tex]$y=445 x-18259$[/tex] C. [tex]$y=-445 x-18259$[/tex] D. [tex]$y=445 x+18259[/tex]

[Done] Use the quadratic formula to find both solutions to the quadratic equation given below. [tex]4 x^2+5 x+1=0[/tex] A. [tex]x=\frac{-3-\sqrt{7}}{8}[/tex] B. [tex]x=\frac{-3-\sqrt{-7}}{8}[/tex] C. [tex]x=\frac{-3+\sqrt{7}}{8}[/tex] D. [tex]x=\frac{-3+\sqrt{-7}}{8}[/tex] E. [tex]x=-\frac{1}{4}[/tex] F. [tex]x=-1[/tex]

[Done] $M=\frac{28-1}{6-(-4)}=\frac{7}{12}$ e) Find the perpendicular bisector of cansains $P \& Q$. $\begin{array}{l} y=\frac{-12}{7} \times\left(+\frac{12}{7}+\frac{9}{2}\right) \\ \quad \frac{48}{28}+\frac{126}{28}=\frac{178}{28}=\frac{87}{14} \\ y=\frac{-12}{7} \times \frac{87}{14} \end{array}$