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Goshia [24]
2 years ago
7

Mrs. Smith bought 6.5 metres of lace. She used 1.3 metre to make a dress. She used the rest to make 4 cushions of the same size.

How much lace did she use for each cushion, giving your answer in centimetres?
Mathematics
2 answers:
Vadim26 [7]2 years ago
5 0
Bdbdhd dbdbdbd d did
Scorpion4ik [409]2 years ago
5 0
6.5 - 1.3 = 5.2
5.2 metres = 520 centimeters
520/4 = 130 centimeters on each cushion
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Which 3 expressions have the same value?
valina [46]

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A. C. D.

Step-by-step explanation:

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A: 28/(4)=7

C: 49-43+(1)=7

D: 30-25+(2)=7

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because 15/2 is equal to 7 1/2

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Arlecino [84]

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Temp in city for weeks 1-4 = Starting temp - (20 deg C / 4 wk) * wk#

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Question 1,2, and 3 how do i factor those? Can you show the work and explain how?
DiKsa [7]

1: 3n^{2}+9n+6

notice that each part is divisible by 3

3n^{2} ÷ 3 = n^{2}

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes 3(n^{2} +3n+2)

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

3(n^{2} +2n+n+2)

Now that it's rewritten, you can factor out n + 2 from the equation.

<u><em>the answer is </em></u>

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is n^{2} +2n+n+2 and then each of those by 3, which is 3n^{2} +6n+3n+6 or 3n^{2}+9n+6, our origional equation

2: 28+x^{2} -11x

So I rewrote this as x^{2} -11x+28 (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

x^{2} -4x-7x+28

now we can factor out x from the first expression and -7 from the second

x(x-4)-7(x-4)

and lastly you factor out x-4,

<u><em>which would give you</em></u>

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to x^{2} -11x+28

3: 9x^{2} -12x+4

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

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3^{2} x^{2} -12x+2^{2}

now that 3^{2} x^{2} is ugly so it can be turned into (3x)^{2}

and -12x can be rewritten as -2*3x*2

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There's a rule that says a^{2} -2ab+b^{2} = (a-b)^{2}

In our case, a=3x and b=2

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(3x-2)^2

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Reika [66]

Step-by-step explanation:

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