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aalyn [17]
3 years ago
14

If 8 hens lay 14 eggs in 6 days how many eggs will 24 lay?

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer: The hens will lay 42 eggs

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2 (x + 3) + 5 x = 3 (2 x minus 1)
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Step-by-step explanation:

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If two of these congruent angels have the same degree measure and angle 1 is (3x+10)degrees and Angie 2 is (5x-4) degrees set th
ddd [48]

Answer:

31°

Step-by-step explanation:

3x + 10 = 5x - 4 ... - 3x and +4 both side

14 = 2x

x = 7

angle 1 and angle 2: 5 x 7 - 4 = 31°

check: 3 x 7 + 10 = 31°

3 0
3 years ago
The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is eac
Bess [88]

Answer:

  • 45 and 72

Step-by-step explanation:

Let the ages be r and m

<u>We have:</u>

  • r + m = 117
  • 5r = 9 + 3m

<u>Substitute m in the second equation and solve for r:</u>

  • m = 117 - r
  • 5r = 9 + 3( 117 - r)
  • 5r = 9 + 351 - 3r
  • 5r + 3r = 360
  • 8r = 360
  • r = 360/8
  • r = 45

<u>Then m is</u>

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3 0
3 years ago
Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi
ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

  • Angles around a point sum to 360°
  • 1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

\sf =\dfrac{360}{60} \times 25=150^{\circ}

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)

\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}

Given:

  • r = length of minute hand = 14 ft
  • \theta = 150°

\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}

4 0
2 years ago
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