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Evgesh-ka [11]
2 years ago
9

Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/

2 hour. For the remainder of the time. Daniel read stories. How much time did Daniel spend reading stories?
Mathematics
1 answer:
Nady [450]2 years ago
4 0

Answer:

1 5/8 hours

Step-by-step explanation:

Time spent reading stories = total time - (time spent for games and television)

3 - (1 3/4 + 1/2) = 3 - (7/8 + 4/8) = 24/8 - 11/8 = 13/8 = 1 5/8 hours

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Step-by-step explanation:

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What the answer .....?
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A recipe requires 4 cups of flour to make 12 servings and 7 cups of flour to make 21 servings. How many cups of flour is needed
grandymaker [24]

Answer:

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Step-by-step explanation:

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3 years ago
(1CQ) Determine whether the series -8/5+32/25-128/125+... is convergent or divergent.
Ivan

Answer:

The series is convergent answer ⇒ (a)

Step-by-step explanation:

* The series is -8/5 + 32/25 + -128/125 + ........

- It is a geometric series with:

- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5

* The difference between the convergent and divergent

  in the geometric series is :

- If the geometric series is given by  sum  = a + a r + a r² + a r³ + ...

* Where a is the first term and r is the common ratio

* If |r| < 1 then the following geometric series converges to a / (1 - r).  

- Where a/1 - r is the sum to infinity

* The proof is:

∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number

∴ r^n approach to zero

∴ S = a(1 - 0)/(1 - r) = a/(1 - r)

∴ S∞ = a/1 - r

* If |r| ≥ 1 then the above geometric series diverges

∵ r = -4/5

∴ IrI = 4/5

∴ IrI < 1

∴ The series is convergent

3 0
3 years ago
A right triangle has an angle that measures 47°. What is the measurement of the third angle in the triangle?​
Allushta [10]

Answer:

43 degrees

Step-by-step explanation:

every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so

90+47 = 137 now we can take 180 - 137 = 43

so your third angle is 43

hope I helped!!

4 0
3 years ago
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