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Questions in mathematics

[Done] Ruby buys 20 cupcakes. She divides them between 5 children. How many cupcakes would each child get? A shop had 40 sausage rolls on sale. If 10 people bought them all and share equally, how many sausage rolls did each person buy?

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] 8) 10 1/2 tonners of sand are to be shared between a number of builders. One of them receives 4/7 of the total and the remaining sand is shared by 3 builders. How much does the fourth builder receive and how much sand does each of the other 3 builders receive?

[Done] A piecewise function is defined as shown. [tex]f(x)=\left\{\begin{array}{cc} -x, & x \leq-1 \\ 1, & x=0 \\ x+1 & x \geq 1 \end{array}\right.[/tex] What is the value of [tex]f(x)[/tex] when [tex]x=3[/tex]?

[Done] 2. Show the following operations on a number line and simplify: a. $(+3)+(+2)$ b. $(+6)+(-3)$ c. $(-7)+(+4)$ d. $(-5)+(-4)$ e. $(+6)-(+1)$ f. $(-5)-(-8)$ g. $(-4)-(-2)$ 3. On a number line, if you start at +2 where do you land after a shift of a. +3 b. +5 c. +1 d. -6 e. -2 f. -4 4. On a number line, if you start at -5 where do you land after a shift of a. +1 b. +8 c. +4 d. -4 e. -3 f. -6 5. Simplify: a. $(+8)+(+2)+(+3)$ b. $(+6)+(-3)+(+4)$ c. $(-8)+(+5)+(-4)$ d. $(-11)-(-9)+(+5)$ e. $(-10)-(-6)+(-7)$ f. $(+21)-(+18)-(-15)$ g. $(-35)+(+24)+(+10)$ h. $(-16)+(+50)+(-24)$ i. $(-18)-(-19)+(-4)-(+8)$ j. $(-13)+(+7)-8+14-50

[Done] Comparing Data in Venn Diagrams and Tables | School B | Internet | Not Internet | Total | |---|---|---|---| | TV | 30 | 5 | 35 | | Not TV | 11 | 4 | 15 | | Total | 41 | 9 | 50 | Students from School A and School B were asked whether they watch TV or use the Internet after finishing their homework. The Venn diagram and the two-way table show 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] Find the $x$ and $y$ intercepts of this linear equation. $4 x+7 y=28$ x-intercept (?, ?) y-intercept (?, ?)

[Done] What value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18? A. –4 B. –3 C. –2 D. –1

[Done] Choose the single logarithmic expression that is equivalent to the one shown. [tex]\log 8+\log 3[/tex]

[Done] The hypotenuse of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle measures 128 cm. What is the length of one leg of the triangle? A. 64 cm B. $64 \sqrt{2} cm$ C. 128 cm D. $128 \sqrt{2} cm$