2 years ago

There are 6/8 of a cake leftover after a birthday party. How many 1/4 pieces can be made from the leftover cake?

Mathematics

2 answers:

marishachu [46]2 years ago

5 0

Answer: 3

Step-by-step explanation:

6/8 is the same as 3/4;

there are 3 lots of 1/4 in 3/4

melamori03 [73]2 years ago

4 0

1/4 = 2/8
2/8 + 2/8 + 2/8 = 6/8
So, 1/4 + 1/4 + 1/4 = 3/4 = 6/8
So answer is 3/4

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If tn = 4n+1, find t1, t2, t3, and tn+1. Express tn+1−tn in its simplest form.

Doss [256]

Answer:

$t_1=5$

$t_2=9$

$t_3=13$

$t_{n+1}-t_n=4$

Step-by-step explanation:

We have that:

$t_n=4n+1$

When we substitute n=1, we get:

$t_1=4*1+1=5$

When we substitute n=2 we get:

$t_2=4*2+1=9$

When we substitute n=3, we get:

$t_3=4*3+1=13$

When we substitute n=n+1, we get:

$t_{n+1}=4*(n+1)+1=4n+5$

Now

$t_{n+1}-t_n=4n+5-(4n+1)$

We expand and simplify to obtain:

$t_{n+1}-t_n=4n+5-4n-1$

$t_{n+1}-t_n=4$

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Answer:

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Step-by-step explanation:

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