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Questions in mathematics

[Done] The temperature of a city was -4°C on Monday and then it dropped by 5°C on Tuesday. If it rose by 4°C on Wednesday, what was the temperature on Wednesday? 4. Verify that the given statements are false. Give reasons. (a) (14 - 15) + 6 = 14 - (15 + 6) (b) 23 - (9 - 12) = (23 - 9) - 12

[Done] 1. 2, 5, 8, __, __, __ What is the common difference? → __ Fill in the missing terms. 2. 100, 95, 90, __ Is the sequence increasing or decreasing? → __ What is the common difference? → __ Fill in the missing terms. 3. In a piggy bank, Anna starts with P50. She adds P10 every week. Sequence: 50, __, __, __, __ What is the common difference? → __ How much will she have on Week 5?

[Done] (18) Out of 120 students in SSS 3, [tex]$\frac{5}{8}$[/tex] like football and [tex]$\frac{2}{5}$[/tex] like swimming. Every student like at least one of these sports. (a) What fraction of the students in [tex]$SSS _3$[/tex] like both subjects? (b) What fraction of the students like football but not swimming? (c) What fraction of the students like swimming only?

[Done] Using a ruler and a pair of compasses only, construct an angle of 90° at a point on a straight line. Then, bisect the 90° angle to obtain an angle of 45°.

[Done] A 20-acre piece of land is subdivided into $\frac{5}{6}$ acre lots. How many lots are there?

[Done] Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"? $\frac{-8}{g+3}$ $\frac{8}{g+3}$ $\frac{-8+9}{3}$ $\frac{-8}{g}+3$

[Done] Solve for $y$. $ \begin{array}{l} y+4=-2(x-5) \\ y=[?] x+\square \end{array} $

[Done] $\begin{array}{l} \left(\begin{array}{llll} 1 & 3 & 8 & 5 \\ 5 & 4 & 6 & 2 \\ 6 & 7 & 1 & 8 \\ 2 & 9 & 3 & 7 \end{array}\right) \\ a_{43}= \end{array}$

[Done] Which two values of [tex]$x$[/tex] are roots of the polynomial below? [tex]$x^2+3 x-5$[/tex] A. [tex]$x=\frac{-3-\sqrt{11}}{2}$[/tex] B. [tex]$x=\frac{3-\sqrt{-11}}{2}$[/tex] C. [tex]$x=\frac{-3+\sqrt{11}}{2}$[/tex] D. [tex]$x=\frac{-3+\sqrt{29}}{2}$[/tex] E. [tex]$x=\frac{-3-\sqrt{29}}{2}$[/tex] F. [tex]$x=\frac{3+\sqrt{-11}}{2}$[/tex]

[Done] Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, $y$, to the number of gallons that she put in the tank, $x$? A. $y=4+x$ B. $y=x-4$ C. $y=4 \cdot x$ D. $y=x \div 4$