Questions in mathematics

Questions in mathematics

📝 Answered - The steps for solving the given system of equations are shown below. Select the correct statement about step 3. A. When the equation $-3x - 5y = -5$ is subtracted from $-10x + 5y = -60$, a third linear equation, $-13x = -65$, is formed, and it has a different solution from the original equations. B. When the equation $-3x - 5y = -5$ is subtracted from $-10x + 5y = -60$, a third linear equation, $-13x = -65$, is formed, and it shares a common solution with the original equations. C. When the equations $-10x + 5y = -60$ and $-3x - 5y = -5$ are added together, a third linear equation, $-13x = -65$, is formed, and it shares a common solution with the original equations. D. When the equations $-10x + 5y = -60$ and $-3x - 5y = -5$ are added together, a third linear equation, $-13x = -65$, is formed, and it has a different solution from the original equations.

📝 Answered - $\frac{5}{8} \times \frac{14}{15}$

📝 Answered - Answer each question about the following arithmetic series: [tex]S_4=\sum_{k=1}^4(-3+9 k)[/tex] What are the terms of the series? [tex]\begin{array}{l} a_1=\square \ a_2=\square \ a_3=\square \ a_4=\square \end{array}[/tex]

📝 Answered - A building contains 22 rooms in total. 9 of the rooms are on the ground floor. 7 of the rooms have blue walls. 4 of the rooms that are on the ground floor also have blue walls. Work out the probability that a room picked at random is neither on the ground floor nor has blue walls. Give your answer as a fraction.

📝 Answered - Apply the distributive property to factor out the greatest common factor. [tex]22 c+33 d=[/tex]

📝 Answered - Look at this estimate of the cost of a bag of pears that weighs 6.78 pounds. [tex]$1.41(6.78) \approx $1 \times 7=$7[/tex] Which statements are true about the estimate? Check all that apply. A. The estimate is correct. B. The estimate is incorrect. C. The exact product is less than $7. D. The exact product is greater than $7.

📝 Answered - Suppose f(x) = -5x + 6 and g(x) = \sqrt{x^2 - 2x + 2}. (f \circ g)(x) = (f \circ g)(4) =

📝 Answered - (xiii) If the profit of a thing is p% on the selling price, then what is the rate of profit on the cost price? (a) \(\frac{100p}{100-p} %\) (b) \(\frac{100-p}{100p} %\) (c) \((1+\frac{p}{100}) %\) (d) none of these

📝 Answered - 1. Quadrilateral, n=4 2. Icosagon, n=20 3. Triskaidecagon, n=13 4. Octagon, n=8 5. Pentadecagon, n=15

📝 Answered - Solve this system of equations using the substitution method: [tex] \begin{array}{l} y=2 x+9 \ 8 x-3=y \ ([?], \end{array} [/tex]