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nika2105 [10]
3 years ago
8

Sam and Bethan share £54 in the ratio 5:4 Work out how much each person gets.

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

Sam: $30; Bethan: $24

Step-by-step explanation:

Since the ratio is 5:4 Sam has to pay 5/9 of the total which is 54. To find how much he pays set up the equation like this.

\frac{x}{54} =\frac{5}{9}

Cross Multiply

54(5)=9x

270=9x

Divide by 9

30=x

So Sam pays $30. To find out how much Bethan pays simply subtract 30 from 54

54-30=24

So Bethan pays $24

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First we need to know what number 2*5*7 gives us. That's the same as 10*7=70. So the question is asking how many multiples of 70 are between 1 and 700. Let's list them:
70
140
210
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350
420
490
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So there are 10 integers from 1 to 700 that are divisible by 2, 5, and 7.
3 0
3 years ago
Which polynomial is a difference of squares?
Svetllana [295]

<u>Answer</u>

D.25x2 – 36


<u>Explanation</u>

A. x² – 16x + 64

product = 64

sum = -16

factors: -8 and -8

x² – 16x + 64  = x² - 8x - 8x + 64

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                        = (x - 8)(x-8) = (x-8)²      ⇒ Not a difference of squares


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sum = -1

Factors: none

9x² – x – 36  ⇒ Has no perfect roots.


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3 years ago
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What is the product of the two binomials below?
Rufina [12.5K]

Answer:

A. 9A² - 16B²

Step-by-step explanation:

(3A + 4B)(3A - 4B)

Distribute:

3A(3A - 4B)

4B(3A - 4B)

Multiply:

3A(3A - 4B)

3A(3A) + 3A(-4B)

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4B(3A - 4B)

4B(3A) + 4B(-4B)

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Combine like terms:

9A² - 12AB + 12AB - 16B² <== -12AB + 12AB cancels out

9A² - 16B²

Therefore, our final answer is 9A² - 16B²

Hope this helps!

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