Questions in mathematics

Questions in mathematics

[Done] Convert 0.0049 to a decimal fraction.

[Done] If \(\{a_{n}\}\) and \(\{b_{n}\}\) are geometric sequences with common ratios of \(r_1\) and \(r_2\), is \(\{a_{n}b_{n}\}\) a geometric sequence too? If yes, what is the common ratio?

[Done] What is the sum of \( 6 \frac{7}{8} + 4 \frac{5}{8} \)?

[Done] A box contains bags of crisps. Each bag of crisps weighs 25 grams. Altogether, the bags of crisps inside the box weigh 1 kilogram. How many bags of crisps are inside the box?

[Done] What is the formula for the volume of a cuboid?

[Done] Put brackets in the expression below so that its value is 45.024. 1.6 + 3.8 * 2.4 * 4.2 (* = times)

[Done] how do I solve this proportion?

[Done] Alex makes ceramic bowls to sell at a monthly craft fair in a nearby city. Every month, she spends $50 on materials for the bowls from a local art store. At the fair, she sells each completed bowl for a total of $25 including tax. Which equation expresses Alex's profit as a function of the number of bowls that she sells in one month? 1. [tex]p(x) = 50x + 25[/tex] 2. [tex]p(x) = 15x + 25[/tex] 3. [tex]p(x) = 25x[/tex] 4. [tex]p(x) = 25x - 50[/tex] Why?

[Done] In a sale, normal prices are reduced by 12%. The sale price of a digital camera is £132.88. Work out the normal price of the digital camera. (3 marks)

[Done] A piece of wood is 180 cm long. Tom cuts it into three pieces in the ratio 2:3:4. Work out the length of the longest piece.