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Aneli [31]
2 years ago
7

Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space pr

ovided1.c increased by 5 is 5 2.4 more than a number is 12 3. The product of 4 and n is 12 4. The difference of 27 and k is 15 5.8 less than 3 times x is 10 6. 3 times x increased by 8 is 20 7. a number minus 8 is 3 8. three times a number is 9 9. twice a number plus 1 is 11 10.6 less than a number is 5a. 27-k=15 b. n + 4 = 12 d. 3x+8 = 20 e. k-8=3 f. 3x-8=10 g. 2x + 1 = 11 h. c + 5 = 15 i. 4n = 12 c. c-6=15 j. 3n = 9​
Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Answer:

  • See below

Step-by-step explanation:

  • 1. c increased by 5 is 5                       ⇒ h. c + 5 = 5
  • 2. 4 more than a number is 12           ⇒ b. n + 4 = 12
  • 3. The product of 4 and n is 12          ⇒ i. 4n = 12
  • 4. The difference of 27 and k is 15    ⇒ a. 27 - k = 15
  • 5. 8 less than 3 times x is 10              ⇒ f. 3x - 8 = 10
  • 6. 3 times x increased by 8 is 20      ⇒ d. 3x + 8 = 20
  • 7. A number minus 8 is 3                   ⇒ e. k - 8 = 3
  • 8. Three times a number is 9            ⇒ j. 3n = 9​
  • 9. Twice a number plus 1 is 11           ⇒ g. 2x + 1 = 11
  • 10. 6 less than a number is 5            ⇒ c. c - 6 = 15
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Solve the following equation. Remember to check for extraneous solutions 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).
xxMikexx [17]

Answer:

-1, 2, 6

Step-by-step explanation:

We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

Now, we have, \frac{1}{x-6} +\frac{x}{x-2} = \frac{4}{x^{2}-8x+12 }

⇒\frac{(x-2)+x(x-6)}{(x-2)(x-6)} = \frac{4}{x^{2}-8x+12 }

⇒\frac{x-2+x^{2}-6x }{(x-2)(x-6)} =\frac{4}{(x-2)(x-6)}

⇒\frac{(x-2)(x-6)}{x^{2}-5x-2 }=\frac{(x-2)(x-6)}{4}

⇒(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0

⇒ (x-2)(x-6) =0 or, [\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0

If, (x-2)(x-6) =0, then x=2 or x=6

If, [\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0, then x^{2} -5x-2=4

and (x-6)(x+1) =0

Therefore, x=6 or -1

So the solutions for x are -1, 2 6. (Answer)

4 0
3 years ago
1. A breakfast cereal is made of oats, nuts, and raisins. The advertisements boast that 25% of the cereal in each box is almonds
kotykmax [81]

Answer:

Step-by-step explanation:

1) The advertisements boast that 25% of the cereal in each box is almonds. It means that the percentage of the other cereals in the box is 100 - 25= 75%

Therefore, the portion of each box that is not almonds is 75/100 = 0.75

2) The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, then the number of cups of almonds in each box is

25/100 × 12 = 3 cups

3) if each box contains 12 cups of cereal, and 4 cups are oats, then the percentage of each box that is oats is

4/12 × 100 = 33.33%

4 0
2 years ago
Your car gets 30 miles per gallon of gasoline. if you drive your car at 45 miles per hour, how much gasoline do you use in an ho
Xelga [282]

Answer:

1.5

Step-by-step explanation:

45 divided by 30 = 1.5

Hope this helps

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Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides

tan(angle) = opposite/adjacent

For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,

tan(Y) = XZ/XY = 6/7

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tan(Z) = XY/XZ = 7/6

We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.

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