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ASHA 777 [7]
3 years ago
14

At the rate of 15 per 6 oz. bar of chocolate, how much would a pound

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

40

Step-by-step explanation:

We know there are 16 oz in a pound

We can use ratios

15             x

-----  = ----------

6 oz       16 oz

Using cross products

15 * 16 = 6x

240 = 6x

divide by 6

240/6 = 6x/6

40 =x

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A tent for a family of 6 is on sale for $109.99. Find the volume of space inside the tent for the family to sleep.
mel-nik [20]
Given that the tent is in a shape of rectangular prism the volume of the prism will be given by:
volume=[base area]*[height]
since the base area is a triangle, the volume will be:
Volume=[1/2*a*b]*height

4 0
3 years ago
HELp meh with this question it very hard
Dovator [93]

Answer:

  • AB = 7 cm

Step-by-step explanation:

<u>Use the law of cosines to find the side AB:</u>

  • AB = \sqrt{(x + 3)^2+x^2-2x(x+3)cos (60)} =
  • \sqrt{x^2+6x+9+x^2-x^2-3x}  = \sqrt{x^2+3x+9}

<u>Use the Heron's area formula next:</u>

  • A = \sqrt{s(s - a)(s-b)(s-c)}, where s- semi perimeter
  • s = 1/2[x + x + 3 + \sqrt{x^2+3x+9}) = 1/2 (2x + 3 + \sqrt{x^2+3x+9})
  • s - a = 1/2 (2x + 3 + \sqrt{x^2+3x+9} - 2x - 6) = 1/2 (\sqrt{x^2+3x+9 } - 3)
  • s - b = 1/2 (2x + 3 + \sqrt{x^2+3x+9} - 2x) = 1/2 (\sqrt{x^2+3x+9} + 3)
  • s - c = 1/2 (2x + 3 + \sqrt{x^2+3x+9} - 2\sqrt{x^2+3x+9}) = 1/2 (2x + 3 - \sqrt{x^2+3x+9})

<u>Now</u>

  • (s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
  • s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)

<u>Next</u>

  • A² = 3/16(x² + 3x)(x² + 3x)
  • 300 = 3/16(x² + 3x)²
  • 1600 = (x² + 3x)²
  • x² + 3x = 40

<u>Substitute this into the first equation:</u>

  • AB = \sqrt{40 + 9} = 7 cm

4 0
3 years ago
Ms. Kuula owns a small business. In one week, she had profits of $20, $37, and $48. She also had losses of $18 and $7. What was
Llana [10]

Answer:

The answer is 80.

Step-by-step explanation:

We can get our answer using PEMDAS with the expression: (20 + 37 + 48) - ( 18 + 7) and or 105 - 25.

Do the math, and Ms. Kuula has 80 dollars for the week.

3 0
3 years ago
Solve for y 2x+5y=35
katen-ka-za [31]

Answer:

y=7-2x/5

Step-by-step explanation:

sorry if it is wrong :(

7 0
3 years ago
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How many arrangements of three flowers are there if there are 6 types to choose from
shutvik [7]
There are 20 possible combinations I believe.
8 0
3 years ago
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