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ladessa [460]
2 years ago
9

Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup.

Mathematics
1 answer:
kondor19780726 [428]2 years ago
4 0

Answer:

40 grams

Step-by-step explanation:

y * 25% + x * 10% = 120 * 15%

x = 120 - y

(120-y) * 10% = x * 10%

y * 25% + (120 - y ) * 10% = 120 * 15%

0.25y + 12 - 0.1y = 18

0.15y = 6

y = 6 / 0.15

y = 40

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Use completing the square to solve for x in the equation (x+7)(x-9) = 25.
balandron [24]

Answer:

x = 1  ±√89

Step-by-step explanation:

We have the equation:

(x+7)(x-9) = 25

Using distributive property:

x(x-9) + 7(x-9) = 25

x²- 9x + 7x - 63 -25 = 0

x²- 2x - 88 = 0

To complete squares we need to add and subtract 1, as follows:

x²- 2x - 88 +1 -1 = 0

x²- 2x +1 -88 -1 = 0    (this is a perfect square)

(x - 1)² - 89 = 0

Solving for x:

(x - 1)² = 89

x - 1 = ±√89

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3 years ago
How many tons are in 512,000 ounces?
murzikaleks [220]

Answer:

16 Tons

Step-by-step explanation:

divide 512,00 by 32000

3 0
3 years ago
What times 4/5 equals 3/4
bagirrra123 [75]

Answer:

15/16

Step-by-step explanation:

4/5 x=3/4

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3 years ago
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N76 [4]

Answer:

(a) x^2-2x=x \times (x+2) \\\\(b) 6x^2+12x=2\times 3 \times x \times ( x + 2) \\\\(c)  3x^3 - 9x=3\times x \times (x^2 -3) \\\\(d) 4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)

Step-by-step explanation:

To factorize, at first, do factorize all the terms then take the common terms out.

(a) x^2-2x

This can be written as

x^2-2x= x\times x + 2 \times x

Now, taking x commom from both the terms.

x^2-2x=x \times (x+2)

(b) 6x^2+12x

=2\times 3 \times x\times x + 2\times 2 \times 3 \times x

Now, taking 2\times 3\times x common from both the terms, we have

6x^2+12x=2\times 3 \times x \times ( x + 2)

This is the required factorization.

(c) 3x^3 - 9x \\\\

= 3 \times x \times x \times - 9\times x \\\\ 3x^3 - 9x=3\times x \times (x^2 -3)

This is the required factorization.

(d) 4x^2 +28 x^3

= 2 \times 2 \times x \times x + 2 \times 2 \times 7 \times x \times x \times x \\\\4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)

This is the required factorization.

7 0
3 years ago
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maw [93]

Answer:

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Step-by-step explanation:

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3 years ago
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