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liubo4ka [24]
2 years ago
7

Asa is supposed to floss his teeth using 18" of floss daily. He began a new roll 50' on March 17th. If he still has 2 feet of fl

oss left after flossing on August 2nd, how many days has he forgotten to floss?
Mathematics
1 answer:
Licemer1 [7]2 years ago
8 0

Answer:

Asa forgot to floss for 106 days.

Step-by-step explanation:

First of all, we will start by writing out the details we are given clearly.

Length of floss used per day = 18 inches

Original length of floss bought for use = 50 ft = 600 inches

Number of days between March 17th and August 2nd = 138 days

Length of floss left after August 2nd = 2 feet = 24 inches

From this, we can clearly calculate the length of floss used.

This will be original floss length - length of floss remaining = 600 - 24 = 576 inches

Length of floss used = 576 inches

If Asa used 18 inches per day, we can find the number of days he flossed by  dividing the length used in total by the length used per day.

That will be 576/18 = 32 days

if Asa flossed for only 32 days, the number of days he didn't floss is 138 - 32 =106 days

Hence, Asa didn't floss for 106 days.

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Ab over 2 equal 2a minus 1,express a in terms of b
sasho [114]

\frac{ab}{2} = 2a - 1

2(\frac{ab}{2}) = 2(2a - 1) <em>multiplied both sides by 2 </em>

ab = 4a - 2 <em>distributed the 2 on the right side</em>

ab - 4a = -2 <em>subtracted 4a from both sides</em>

a(b - 4) = -2 factored out "a" from the left side

a = \frac{-2}{b - 4} <em>divided (b - 4) on both sides</em>

Answer: a = \frac{-2}{b - 4}

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2 years ago
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
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Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.

Explanation

1) Simulate the counting of the bills:

number of bills counted          value              ones digit

1                                             5                         5

2                                             5 + 5 = 10           0

3                                             10 + 5 = 15         5

4                                             15 + 5 = 20         0

5                                              20 + 5 = 25        5

6                                              25 + 5 = 30        0

2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...

If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
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3 years ago
Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

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  • t = 52.86s ≈ 53 s ← answer
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3 years ago
Use the arc length formula and the given information to find r. s = 12 cm, 0 = 360; r = ?
hjlf
use s=r0

but first convert 360 degree to radian
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then you substitute and get the answer!

12= r (6.284)
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1/2 Gallon is equal to 64 ounces
16 x 6 = 96
96 + 64 = 160
5 gallons is equal to 640
640 - 160 = 480
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