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3 years ago

Please help ASAP!!!!! Thanks

Mathematics

1 answer:

Mice21 [21]3 years ago

3 0

Answer: one Apple costs £ 0.20, and one banana costs £ 0.60

Step-by-step explanation:

let x = the amount of apples

let y = the amount of bananas

4x + y = 1.40

7x + y = 2

this is à system of equations

simplify the top equation to y = 1.4 - 4x

now plug that into the second equation and solve

7x + 1.4 - 4x = 2

3x + 1.4 = 2

3x = 0.6

x = 0.2

that means that one Apple costs £ 0.20

plug that back into the top equation

4x + y = 1.4

4(0.2) + y = 1.4

0.8 + y = 1.4

y = 0.6

so one banana costs £ 0.60

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B. it is the area of a circle with a<br> diameter of 1. <br> True of false

Dominik [7]

It has to be true because you would need to divide

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2 years ago

The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

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8 0

2 years ago

PLEASE PLEASE HELP I WILL GIVE BRAINALSIT

Virty [35]

Answer:

$33 for 11 packs of paper

6 0

3 years ago

How do u get this?? I know the answer but then I don't know why they shuld divide by 2 I will mark the person who explains wit p

Greeley [361]

Answer:

10.89

Step-by-step explanation:

Circle:

C = TTD

C = TT(6.6)

C = 20.73451151

C = 20.73

Triangle:

A = bh/2

A = 6.6(3.3)/2 6.6/2=3.3

A = 21.78/2

A = 10.89

Shaded Region = 10.89

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3 years ago

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morpeh [17]

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3 years ago

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