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vichka [17]
2 years ago
9

George is reading a book. On Monday he reads 1/3 of the book. On Tuesday he reads three - tenths of the remaining pages. He has

35 pages left to read.
How many pagesare in the book?​
Mathematics
1 answer:
ElenaW [278]2 years ago
8 0

Answer: 75 pages

Step-by-step explanation:

3/10 of 2/3

= 3/10 * 2/3  

= 2/10; simplified by dividing by 2 = 1/5

1/3 + 1/5 = 8/15

Let x represent the amount of pages left

so, 7/15 x = 35

x = 75

Therefore, there are 75 pages in the book

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A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

4 0
3 years ago
What is 424.12 rounded to the nearest 10th<br> ASAP
evablogger [386]
424.1

the nearest 10th refers to the first decimal place therefore there would only need to be 1 decimal place. and you don’t the round the 1 up when dropping the 2 because the 2 is less than five.
4 0
3 years ago
En la ciudad la temperatura en la noche fue de 2 grados sobre cero y en la madrugada llegó a 12 grados bajo cero. ¿Qué diferenci
alexgriva [62]

Responder:

La temperatura bajó 12 °

Explicación paso a paso:

Dado que:

Temperatura en la noche = + 2 ° (2

Temperatura de la mañana = - 12 (12 ° bajo cero).

La diferencia de temperatura entre la noche y la madrugada:

Temperatura nocturna - temperatura por la mañana temprano

2 - (-12)

2 + 12 = 14

Hay una diferencia de temperatura de 12 °. La temperatura bajó 12 ° entre la noche y la madrugada.

8 0
2 years ago
4. Stephanie breaks on average 1.5 pencils every school day. How many pencils can she expect to break in a week (5 days)?
olya-2409 [2.1K]

Answer:

7.5 pencils broken in a week (5 days).

Step-by-step explanation:

1.5 pencils broken a day

Now we just multiple this by 5 for each of the school day's.

1.5 pencils * 5 days = 7.5 pencils broken in a week.

Have a nice day! :)

Please mark this answer as brainiest!

7 0
3 years ago
(1 point) find three positive real numbers whose sum is 37 and whose product is a maximum.
zysi [14]
Yes it is courtesy blah blah black black lack
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