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Sveta_85 [38]
3 years ago
15

Someone help me please, I can't figure this out

Mathematics
1 answer:
vodomira [7]3 years ago
4 0
Arithmetic sequences.....u find the next term by adding
geometric sequence....u find the next term by multiplying

sequence 1 : arithmetic...common difference is -16
32 + (-16) = 16
16 + (-16) = 0
0 + (-16) = -16

sequence 2 : geometric...common ratio is 1/2
32 * 1/2 = 16
16 * 1/2 = 8
8 * 1/2 = 4
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The bills won 57.1% of their 140 games last year. How many did they win
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79.94

Step-by-step explanation:

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5
Dimas [21]

Answer:

0.150 < (Proportion of Sandy's pie) < 0.167

15% < (Percentage of Sandy's pie) < 16.7%

Step-by-step explanation:

Total percentage of pie = 100% or 1

George, Sandy, Carlos, and Michelle all ate a piece of the pie.

George ate a fraction of 0.150

Michelle ate a fraction of (1/6) = 0.167

Carlos ate a fraction of (1/7) = 0.143

The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405

And Sandy is known to eat more than two of her friends, but less than one of them.

Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.

Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).

So, mathematically, the possible proportion of cake that Sandy ate is

0.150 < (Proportion of Sandy's pie) < 0.167

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7 0
2 years ago
The volume of a CONE-shaped hole is 75pi ft cubed. If the hole is 9 feet deep, what is the radius of the hole?
Arturiano [62]

Answer:

The radius of hole is 5 feet

Step-by-step explanation:

Depth of conical hole = 9 feet

Let the radius of hole be r

Volume of conical hole =\frac{1}{3} \pi r^2 h

So, Volume of conical hole =\frac{1}{3} \pi \times r^2 \times 9

We are given that volume of a CONE-shaped hole is 75pi ft cubed.

So,\frac{1}{3} \pi \times r^2 \times 9=75 \pi

\frac{1}{3} \times r^2 \times 9=75

r^2=\frac{75 \times 3}{9}

r=\sqrt{\frac{75 \times 3}{9}}

r=5

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6 0
3 years ago
5. Michael wants to place grass on the sides of his
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Area of the shaded region to be covered with grass is 204 yd²

Step-by-step explanation:

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Sum of parallel sides = 25 yd + (3 + 12) = 40 yd

Distance between them = 12 yd

⇒ Total area = 1/2 × 40 × 12 = 240 yd²

  • Step 2: Find the area of the lap pool.

Area = length × width = 12 × 3 = 36 yd²

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