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Questions in mathematics

[Done] Which statement uses the distributive law? $\begin{array}{l} 9 \times(5+3)=9 \times(3+5) \\ 9 \times(5+3)=9 \times 5+9 \times 3 \\ 9 \times(5+3)=(9 \times 5)+3 \\ 9 \times(5+3)=9 \times 8 \end{array}$

[Done] Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona's circle? A. $7 \pi m^2$ B. $14 \pi m^2$ C. $28 \pi m^2$ D. $49 \pi m^2$

[Done] 2. Find the following products: (a) 2.98 x 7 (b) 4 x 5.096 (c) 3.08 x 7 (d) 12 x 2.907 (e) 2.3 x 1.98 (f) 100.96 x 2.8 (g) 2.6 of 3 (h) 9.8 of 5.2 (i) 2.086 x 10 (j) 4.924 x 100 (k) 0.982 x 1000

[Done] Riya has 7164 green balloons and 1646 red balloons. How many total balloons does Riya have altogether? In my school, there are 70 teachers, 1422 boys, and 1317 girls. How many people are there in my school? In a zoo, there are 464 monkeys, 162 bears, and 345 deers. How many animals are there in the zoo? Mamta has 2461 pens and 116 pencils. How many pens and pencils does Mamta have altogether?

[Done] 1. If x = 3, y = 2, find the value of: a) x + y b) 2x + 3y c) x^2 + y^2 2. Write algebraic expressions for the following: a) The sum of a number and 9 b) Three times a number decreased by 4 c) Half of a number increased by 7 3. Solve for x: a) x + 5 = 12 b) 3x = 18 c) x - 4 = 9

[Done] A man donated \(\frac{1}{10}\)th of his money to a school, \(\frac{1}{6}\)th of the remaining to an orphanage, and the remaining money he distributed equally among his three children. If each child gets ₹50000, how much money did the man originally have?

[Done] Now try to make the above shapes using straws and thread and fill in the table. | Shapes | Number of faces (F) | Number of corners (V) | Number of edges (E) | |---|---|---|---| | Cube/Square Prism | | | | | Cuboid/Rectangular Prism | | | | | Triangular Pyramid | | | | | Square Pyramid | | | | | Triangular Prism | | | | Identify any relationship that you may find between the number of faces (F), edges (E), and corners (V). Calculate F + V - E in each case.

[Done] Regression equation: [tex]y=3.915(1.106)^x[/tex] Which two equations below could you solve to find [tex]D[/tex], the number of days it takes the water lily population to double? * [tex]2=3.915(1.106)^D[/tex] * [tex]7.830=3.915(1.106)^D[/tex] * [tex]7.830=3.915(2)^D[/tex] * [tex]2=1.106^D[/tex] Solve either of the correct equations using any method. Round to the nearest whole number. [tex]D=[/tex] days

[Done] Select the correct answer. Paula used these steps to solve an equation: Step 1: $-4(x+8)-2 x=25$ Step 2: $-4 x-32-2 x=25$ Step 3: $-6 x-32=25$ Step 4: $-6 x=57$ Step 5: $x=-9 \frac{1}{2}$ Between which two steps did Paula use the division property of equality? A. steps 1 and 2 B. steps 2 and 3 C. steps 3 and 4 D. steps 4 and 5

[Done] Simplify the expression: $x^n \cdot x^3$