Questions in mathematics

Questions in mathematics

📝 Answered - 1. 15,187 + 4,106 = [19,293] Solution: 15,187 + 4,106 19,293 2. \frac{3}{7} + \frac{1}{5} = \frac{4}{12} Solution: \frac{3}{7} + \frac{1}{5} = \frac{3+1}{7+5} = \frac{4}{12} 3. (-256.7) + 87.23 = Solution: 4. (-1,250) + (-3,788) = -5,038 Solution: 1,250 + 3,788 -5,038 5. 200,000 - 4,873 = [195,127] Solution: 200,000 - 4,873 195,127 6. (\frac{2}{9}) - \frac{1}{3} = \frac{1}{3} Solution: \frac{2-1}{9-3} = \frac{1}{3}

📝 Answered - 3. The hostel charges are Rs. 6300 for 35 students for 24 days. In how many days will the hostel charges be Rs. 3375 for 25 students? 4. Younas left property of Rs. 250000 for his 2 sons and one daughter. If each son gets 2 times the share of the daughter, then find the share of each.

📝 Answered - Drag each step and justification to the correct location on the table. Each step and justification can be used more than once, but not all steps and justifications will be used. Order each step and justification that is needed to solve the equation below. [tex]\frac{2}{3} y+15=9[/tex] [tex]\frac{2}{3} y=6 \quad[/tex] Subtraction property of equality [tex]\quad \frac{2}{3} y \cdot \frac{3}{2}=-6 \cdot \frac{3}{2} \quad \frac{2}{3} y=-6[/tex] Multiplication property of equality [tex]\quad \frac{2}{3} y \cdot \frac{3}{2}=6 \cdot \frac{3}{2} \quad y=9 \quad y=-9[/tex] Steps Justifications [tex]\frac{2}{3} y+15=9[/tex] Given [tex]\frac{2}{3} y+15-15=9-15[/tex] Simplification Simplification

📝 Answered - What changes would you make to turn this formal proof into a paragraph proof? Given: Angles A and 15 are complementary. Prove: [tex]A=75[/tex] degrees. Proof: Statements & Reason Angles [tex]A[/tex] and 15 are complementary & Given [tex]m \angle A+15=90[/tex] & Definition of complementary angles [tex]m \angle A=75[/tex]. & By subtraction A. Leave out all symbols and write out the words. B. Leave out the reasons and just write the statements. C. Write the reasons first and then the statements. D. Write the statements and reasons in sentence format.

📝 Answered - Find the value of the expression: [tex]$27 a^0 c^3 \text { for } a=\frac{2}{3}, c=-\frac{1}{3}$[/tex]

📝 Answered - Solve $|x-9|=0$ for $x$. A. $x=0$ B. $x=-18$ or $x=9$ C. $x=-9$ D. $x=9$ E. all real numbers F. no solution

📝 Answered - A bag contains one blue, one yellow, and two red marbles. A second bag contains one red, one blue, and two yellow marbles. A random marble from each bag is removed. What is the probability of removing a red and a yellow? Give your answer as a fraction.

📝 Answered - The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14 for [tex]$\pi$[/tex]. Round to the nearest tenth of a cubic inch. Recall the formula Sphere [tex]$V=\frac{4}{3} \pi r^2$[/tex].

📝 Answered - Subtract. State the difference in simplest form. $\frac{x^2}{x-6}-\frac{36}{x-6} \quad x \neq 6$ A. $x-6$ B. $\frac{x+6}{2}$ C. $x+6$ D. $\frac{x-6}{2}$

📝 Answered - \frac{3}{a} + \frac{4}{6}