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dmitriy555 [2]
3 years ago
8

If the flour to sugar ratio is 5 liters flour to 1 liter sugar, then how much sugar is needed if only 2 liters of flour are used

? Give answer as a fraction.
Mathematics
2 answers:
a_sh-v [17]3 years ago
5 0
2/5 because you used 2/5 of the flour, you would use 2/5 of the sugar.
Sliva [168]3 years ago
5 0
The answer for this question is that 2/5 cups of sugar are needed
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Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}
NemiM [27]

Answer:

The solution of the equation are 3 , -11

Step-by-step explanation:

* Lets revise how to make the completing square

- The form of the completing square is a(x - h)² + k, where a , h , k

 are constant

- The general form of the quadratic is ax² + bx + c, where a , b , c

 are constant

- To change the general form to the completing square form equate

  them and find the constant a , h , k

* Now lets solve the problem

∵ x² + 8x = 33 ⇒ subtract 33 from both sides

∴ x² + 8x - 33 = 0

- lets change the general form to the completing square

∴ x² + 8x - 33 = a(x - h)² + k ⇒ solve the bracket of power 2

∴ x² + 8x - 33 = a(x² - 2hx + h²) + k ⇒ multiply the bracket by a

∴ x² + 8x - 33 = ax² - 2ahx + ah² + k ⇒ compare the two sides

∵ x² = ax² ⇒ ÷ x²

∴ a = 1  

∴ -2ah = 8 ⇒ substitute the value of a

∴ -2(1)h = 8 ⇒ -2h = 8 ⇒ ÷ (-2)

∴ h = -4

∵ ah² + k = -33 ⇒ substitute the value of a and h

∴ (1)(-4)² + k = -33

∴ 16 + k = -33 ⇒ subtract 16 from both sides

∴ k = -49

∴ x² + 8x - 33 = (x + 4)² - 49

* Now lets solve the completing square

∵ (x + 4)² - 49 = 0 ⇒ add 49 to both sides

∴ (x + 4)² = 49 ⇒ take square root for both sides

∴ (x + 4) = ± 7

∵ x + 4 = 7 ⇒ subtract 4 from both sides

∴ x = 3

∵ x + 4 = -7 ⇒ subtract 4 from both sides

∴ x = -11

* The solution of the equation are 3 , -11

4 0
3 years ago
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Convert the unit<br>1.5kg to g​
navik [9.2K]

Answer:

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6 0
3 years ago
Determine whether the function f (x) = x + 9x” is even, odd or neither.
rusak2 [61]

Answer:

Step-by-step explanation:

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3 years ago
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Elizabeth has a lot of jewelry. She has four times as many earrings as watches but half the number of necklaces as earrings. Eli
evablogger [386]
Given:
Total number of pieces: 117
watch = x
earrings = four times as many earring as watches = 4x
necklaces = half the number of necklaces as earrings = 1/2 * 4x = 2x
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x + 4x + 2x + 2x = 117
9x = 117
x = 117/9
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earrings: 4x = 4(13) = 52
necklaces: 2x = 2(13) = 26
bracelets: 2x = 2(13) = 26

13 + 52 + 26 + 26 = 117

There are 13 watches, 52 earrings, 26 necklaces, and 26 bracelets.
7 0
2 years ago
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