Answer:
11 months
Step-by-step explanation:
The initial number of baseball cards that Chris has is 20.
This is like the first term of a sequence.
If Chris is adding 3 baseball cards per month, then there will be a constant difference of 3.
The number of baseball cards after months is given by the formula;
where
Similarly, Kyle initially has 40 baseball cards and adds one base ball card per month to his collection;
The number of his baseball cards after months is given by the formula;
To determine the number of months that will pass before Kyle and Chris have the same number of base ball cards, we equate both equations to get;
We group like terms to get;
Therefore Chris and Kyle will have the same number of baseball cards after 11 months.
By setting equal the linear expressions for how many baseball cards Chris and Kyle have after a given number of months, we find that it will take 10 months for them to have the same number.
The question is essentially asking how long it will take for Chris and Kyle to have the same number of baseball cards. It's a problem about linear expressions, rooted in mathematics. Chris starts with 20 baseball cards and adds 3 per month. We can express this as C = 20 + 3m, where m is the number of months. Kyle starts with 40 baseball cards and adds 1 per month. We express this as K = 40 + m.
We want to find out when Chris and Kyle will have the same number of cards, so we set C = K, which results in 20 + 3m = 40 + m. By solving this equation, we can condense it to 2m = 20 or m = 10. Therefore, it will take 10 months for Chris and Kyle to have the same number of baseball cards.
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Mathew is going to cover the patio with paving slabs. Each paving slab is a square of side 60cm.
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.
if Mathew has bought 32 slabs , he has enough paving slabs to cover the patio and £276.16 is the total cost of the 32 paving slabs.
A rectangle is a polygon with 4 sides , in which opposite sides are parallel and equal .
It is given that the patio has length of 3.6 m and width of 3 m
Each paving slab is a square having side 60 cm or .6 m
Area of a rectangle is given by
length * width
3.6*3
10.8 m²
Area = 10.8 m²
Area of a slab = 0.6 *0.6 = 0.36 m²
No. of slabs needed = n
10.8 = 0.36* n
n = 30 slabs
So if Mathew has bought 32 slabs , he has enough paving slabs to cover the patio.
If the paving cost costs £8.63
The total cost for 32 slabs will be 32 * £8.63
= £276.16
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B. 8.59 NOT THE ANSWER
C. 2.93
D. 4.30
Answer:
D
Step-by-step explanation: