Questions in mathematics

Questions in mathematics

[Answered] The sum of twice a number and a larger number is 145. The difference between the numbers is 55. Let [tex]$x$[/tex] represent the smaller number and [tex]$y$[/tex] represent the larger number. Which equations represent the situation? Check all that apply. [tex]$x-y=55$[/tex] [tex]$2(x+y)=145$[/tex] [tex]$2x+y=145$[/tex] [tex]$y-x=55$[/tex] [tex]$y=x+55$[/tex]

[Answered] Write the pattern rule for: (i) 64, 32, 16, 8, 4, ... (ii) 2, 10, 50, 250, ... (iii) 2500, 2250, 2000, 1750, ...

[Answered] Rationalize the denominator: [tex]\frac{2}{3 \sqrt{2}-5}[/tex]

[Answered] Assignment: 7/2/2025 1) $(14-2) \times 4 \div 6$ 2) $128 \div 2-4$ 3) $364 \div 8 \times(5-3)+5$ 4) $(17+4) \times 3$ 5) $a+2 \times(8-2)-3$

[Answered] An inequality is shown. [tex]12(x-2) \ \textless \ 24[/tex] Which of the following is the solution to the inequality? A. [tex]x\ \textless \ 0[/tex] B. [tex]x\ \textgreater \ 0[/tex] C. [tex]x\ \textless \ 12[/tex] D. [tex]x\ \textless \ 4[/tex]

[Answered] A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. [tex]S={1,2,3,4,5,6,7,8}[/tex] * If [tex]A[/tex] is a subset of [tex]S[/tex], [tex]A[/tex] could be [tex]{1,2,3}[/tex]. * If [tex]A[/tex] is a subset of [tex]S[/tex], [tex]A[/tex] could be [tex]{7,8,9}[/tex]. * If a subset A represents spinning a number less than 4, then [tex]A ={1,2,3,4}[/tex]. * If a subset [tex]A[/tex] represents the complement of spinning an odd number, then [tex]A={2,4,6,8}[/tex].

[Answered] $\begin{array}{l} s=\sqrt{\frac{(12-14)^2+(14-14)^2+(9-14)^2+(21-14)^2}{4}} \\=\sqrt{\frac{(-2)^2+(0)^2+(-5)^2+(7)^2}{4}} \\=\sqrt{\frac{4+0+25+49}{4}} \\=\sqrt{\frac{78}{4}} \\=\sqrt{19.5}\end{array}$ What is the first error he made in computing the standard deviation? A. Yuri failed to find the difference between each data point and the mean. B. Yuri divided by $n$ instead of $n-1$. C. Yuri did not subtract 9-14 correctly. D. Yuri failed to square -2 correctly.

[Answered] Which of the following shows the extraneous solution to the logarithmic equation? [tex]$\log _4(x)+\log _4(x-3)=\log _4(-7 x+21)$[/tex] A. [tex]$x=-7$[/tex] B. [tex]$x=-3$[/tex] C. [tex]$x=3$[/tex] and [tex]$x=-7$[/tex] D. [tex]$x=7$[/tex] and [tex]$x=-3$[/tex]

[Answered] Use the given line and the point not on the line to answer the question. What is the point on the line perpendicular to the given line, passing through the given point that is also on the $y$-axis? $(-3.6,0)$ $(-2,0)$ $(0,-3.6)$ $(0,-2)$

[Answered] Giselle used the table to predict the cost of one year of college. | Category | Estimated Cost 2017-2018 | | :------- | :----------------------- | | tuition | $12,450 | | room and board | $10,125 | | transportation | $2,600 | | books and fees | $2,250 | | other | $1,250 | Giselle predicts that she will receive a grant for $4,000. If she has 4 years in which to save, what is the minimum monthly amount she should deposit in an interest bearing savings account to be able to pay her contribution for one year of college? A. $400 B. $500 C. $600 D. $700