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mojhsa [17]
3 years ago
14

Marley has read 112.5 pages of a book. By the end of today, she plans to have read at least a total of 360 pages. If she reads 4

5 pages per hour, what is the minimum amount of time she should devote to reading today?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

5 \frac{1}{2} hours

Step-by-step explanation:

We are told that, Marley has already read 112.5 pages of the book.

Marley also plans to read at least 360 pages in all.

Now, let x be at least the number of pages Marley is let to read to achieve her goal.

This implies that

x \geqslant 360 - 112.5

\implies  x \geqslant 247.5

This means that Marley would have been reading at least 247.5 pages

Moreover, we are told that Marley reads 45 pages every hour.

Hence to find the minimum amoutnt of timeof time (let say y) she should devote fkr reading, we divide the number of pages she has left to read by 45.

This implies

y \geqslant  \frac{247.5}{45}

\implies y\geqslant 5 \frac{1}{2} hours

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Answer:

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Step-by-step explanation:

The ratio is 5:13 so if the value of Jolly ranchers increased 20x then the number of jawbreakers would also increase by 20x. There are 260 jawbreakers.

8 0
2 years ago
The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

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2 years ago
The length of a shadow of a building is 28m. The distance from the top of the building to the shadow is 38m. Find the height of
AlexFokin [52]
It appears that the Pythagorean theorem can be applied to this problem
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Then the height of the building is
  height of building = √660 m ≈ 25.7 m
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Answer: 85% out of how many questions.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1128 - 72 = 1056

1056 ÷ 43 is 24 with a remainder of 24. Ignore the remainder and you get an answer of 24

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