Questions in mathematics

Questions in mathematics

[Done] The diagram shows a patio in the shape of a rectangle. The patio is 3.6 m long and 3 m wide. Mathew is going to cover the patio with paving slabs. Each paving slab is a square with a side of 60 cm. Mathew buys 32 of the paving slabs. A) Does Mathew buy enough paving slabs to cover the patio? The paving slabs cost £8.63 each. B) Work out the total cost of the 32 paving slabs.

[Done] A sequence has an initial value of 10, and each term is twice the previous term. Which function models this sequence? 1) \(a(n) = 10 \times 2^n\) 2) \(a(n) = 10 \times 2^{n-1}\) 3) \(a(n) = 10 + 2n\) 4) \(a(n) = 10 + 2(n-1)\)

[Done] A pack of 9 toilet rolls costs £4.23. A pack of 4 toilet rolls costs £1.96. Which pack gives the better value for money? You must show all your working.

[Done] Yolanda owns 4 rabbits. She expects the number of rabbits to double every year. a) After how many years will she have 64 rabbits? b) Write an equation to model this situation. Show work please.

[Done] Work out the number that is halfway between 27 times 38 and 33 times 38. Show your working out as well.

[Done] If the function \( h(x) \) represents the number of full hours that it takes a person to assemble \( x \) sets of tires in a factory, which would be an appropriate domain for the function? 1. The set of real numbers 2. The set of negative integers 3. The set of integers 4. The set of non-negative integers Why?

[Done] The number 6 is halfway between 4.5 and 7.5. Answer the missing numbers below: - The number 6 is halfway between 2.8 and ....... - The number 6 is halfway between -12 and .......

[Done] Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Based on monthly weigh-ins, his weight, [tex]w[/tex], can be modeled by the function [tex]w = -3m + 205[/tex], where [tex]m[/tex] is the number of months after January 2013. a) How much did Jonathan weigh at the start of the diet? b) How much weight has Jonathan been losing each month? c) How many months did it take Jonathan to lose 45 pounds? Show work, please.

[Done] Find the difference: [tex]7 \frac{7}{8} - 3 \frac{1}{4}[/tex]

[Done] What is \(2.333333\) in fraction form?