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Aleksandr [31]
2 years ago
7

Part of a book fell out. The first page of this part has number 143. The last page has a number written with the same digits. Ho

w many pages are in the part of the book which has fallen out?
Mathematics
1 answer:
Gnom [1K]2 years ago
3 0

Answer:

142 pages

Step-by-step explanation:

The parameters given are

First page of part of the book available = 143

The last is numbered with the digits 143

Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops

Number on the pages on the first part = from 1 to number on the first page on the second part - 1

Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.

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Ben and Landon took turns driving on their recent 820 mile road trip. Ben averaged 60 miles per hour while landon averaged 56 mi
Furkat [3]

Landon drove for 5 hours.

<u>Step-by-step explanation</u>:

Given that,

Total distance of the road trip = 820 miles

Speed of Ben = 60 miles per hour

Speed of Landon = 56 miles per hour

<u><em>Step 1 </em></u><em>:</em>

Let 'x' be the number of miles Ben drove

Let 'y' be the number of miles Landon drove

<u><em>Step 2</em></u><em> :</em>

The trip took them 14 hours to complete 820 miles together.

x + y = 14

60x + 56y = 820

<u><em>Step 3 </em></u><em>:</em>

Solve the linear system x+ y= 14 and 60x+ 56y= 820

x + y = 14

x = 14 - y

<u><em>Step 4 </em></u><em>:</em>

Substitute x= 14-y in the second equation,

60(14-y) + 56y = 820

840 - 60y + 56y = 820

<u><em>Step 5</em></u><em> :</em>

Keeping y terms on one side and constants on other side,

60y - 56y = 840 - 820

4y = 20

y = 20/4

y = 5

Since 'y' is the number of miles Landon drove, the time Landon drove is 5 hours.

3 0
2 years ago
Mary deposits $550 in a savings account at 3% simple annual interest. The
kupik [55]

Answer:

Domain: t \geq 0

Range: v \geq 550

Step-by-step explanation:

Given

v = 550 + 16.5t

Required

Determine the domain and the range

Solving for domain:

From the question, we understand that t represent years.

Because years can't be negative;

Then, we can conclude that the domain, t is:

t \geq 0

Solving for Range:

We solved domain to be t \geq 0

This implies that the minimum value of t is t = 0 and the maximum is infinity

Substitute 0 for t in v = 550 + 16.5t

v = 550 + 16.5(0)

v = 550 + 0

v = 550

Hence;

The range is v \geq 550

6 0
2 years ago
which of the sets shown includes the elements of set Z that both negative numbers and multiples of ?. Z={-34,-28,-16,-2,4,8,12,2
Ronch [10]

Answer:

multiples of 2

Step-by-step explanation:

6 0
2 years ago
Find the amount of time.<br> I=$450, P=$2400, r=7.5%<br> Help!
faust18 [17]
I = PRT.....rearrange = I / PR = T
I = 450
R = 7.5%...turn to decimal = 0.075
P = 2400

I / (PR) = T
450 / (2400 * 0.075) = T
450 / 180 = T
2.5 = T...so time is 2.5 years, or 2 1/2 years
8 0
2 years ago
Gina sold 5/8 of a mushroom pizza and 3/4 of an onion pizza to the same family.How much pizza in all did the family buy?
Murrr4er [49]

Answer:

1 and 3/8 of pizza

Step-by-step explanation:

5/8 + 3/4

3/4 x 2 to get the same denominator as 5/8

5/8 + 6/8 = 11/8

11/8 = 1 3/8

6 0
2 years ago
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