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Questions in mathematics

[Done] Evaluate. Write your answer as a fraction. [tex]$\frac{4}{15}-\frac{4}{5}+\frac{1}{2}$[/tex]

[Done] Find the rate of change represented by the data in the table below. \begin{tabular}{c|ccccc} x & -14 & -7 & 0 & 7 & 14 \ \hline y & 1 & -1 & -3 & -5 & -7 \end{tabular} Is the rate of change positive or negative? a) positive b) negative

[Done] Multiply. [tex]\frac{2}{-7} \cdot \frac{-5}{-9} \cdot 3[/tex] Write your answer in simplest form.

[Done] Alex earns a [tex]$35,000$[/tex] salary in the first year of his career. Each year, he gets a 3% raise. Which expression gives the total amount Alex has earned in his first [tex]$n$[/tex] years of his career? Choose 1 answer: A. [tex]$\frac{35,000\left(1-1.03^n\right)}{-0.03}$[/tex] B. [tex]$\frac{35,000\left(1-0.97^n\right)}{0.03}$[/tex] C. [tex]$1.03\left(1-35,000^n\right)$[/tex]

[Done] Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. | | Democrat | Republican | Total | | --------- | -------- | ---------- | ----- | | County 1 | 4,050 | 2,470 | 6,520 | | County 2 | 3,925 | 6,010 | 9.935 | | County 3 | 2,100 | 5,950 | 8.050 | | Total | 10,075 | 14,430 | 24.505| Find the following relative frequencies to the nearest tenth of a percent. Republican residents of County 1: % Democratic residents of County 1: % Total Republican residents: % Total Democratic residents: %

[Done] Kamya and Renu divided 46047 by 23. Check who got it right. Can you point out the mistake in the wrong sum? Kamya: 22 23|46047 -46 0047 -46 1 Q=22, R=1 Renu: 2002 23|46047 -46 0047 -46 1

[Done] Q1. A number 56 is shown on the number line. There are two tens that are nearby 56 which are 50 and 60. (i) If the distance between any two numbers is 1 unit, out of 50 and 60, which tens is nearer to 56? (A) 50 (B) 60 (C) Both are equally near (ii) While rounding off to nearest tens, we do exactly this. We write the tens that is nearest to a given number. Now, tell which is the nearest tens of 56. Q2. Round off the following numbers to their nearest tens. (i) 4: (ii) 55: (iii) 83: (iv) 198: (v) 526: (vi) 992:

[Done] Which of the following equations is an example of inverse variation? A. d = c/2 B. m = 5s C. a = 10/b D. (kr)/5 = 1

[Done] Subtract the following. a. 7,46,05,216 - 3,35,82,197

[Done] Mary is making some shirts for her school's drama department. The fabric store has $3 \frac{1}{6}$ yards of the fabric she wants in stock, but this quantity of fabric can make only $1 \frac{1}{2}$ shirts. What length of fabric does Mary need to buy if she wants to sew $2 \frac{1}{4}$ shirts? A. $1 \frac{1}{6}$ yards B. $4 \frac{3}{4}$ yards C. $2 \frac{3}{8}$ yards D. $3 \frac{5}{6}$ yards