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WARRIOR [948]
3 years ago
14

The left and page numbers of an open book are two consecutive integers whose sum is 259 find the page numbers

Mathematics
1 answer:
Liula [17]3 years ago
7 0

Answer:

129 and 130

Step-by-step explanation:

Consecutive integers means 1,2,3,4,5... so on

That means we can model them as x,(x+1),(x+2)...

We are given the information that the sum of two consecutive integers is 259

so we can write

x + (x+1)=259

solving the above equation

x+x=259-1

2x=258

x=\frac{258}{2}

x=129

so the first page number of the book is 129 and the second is

x+1

129+1

130

Hence the page numbers are 129 and 130

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Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three
icang [17]

Answer: No

Step-by-step explanation:

According to triangle inequality theorem which state that: the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Now let's test the given parameters if they obey this theorem

4 inches, 5 inches and 1 inch

4 + 5 = 9

9 > 1 correct

5 + 1 = 6

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4 + 1 = 5

5 not > 5 wrong

Therefore he won't be able to create the triangular component with these toothpicks without modifying any of the lengths

3 0
3 years ago
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What is the balance after 7 years if you deposit $2800 in an account that pays 4% interest compounded yearly ?
SVEN [57.7K]

Answer:the balance after 7 years is $3216

Step-by-step explanation:

A) Initial amount deposited into the account is $2800 This means that the principal,

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n = 1

The rate at which the principal was compounded is 4%. So

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It was compounded for 7 years. So

t = 7

The formula for compound interest is

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6 0
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Nonamiya [84]

Answer:

a. 3

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Step-by-step explanation:

5 0
3 years ago
The larger of two numbers is 10 less than twice the smaller number. If the sum of the two
natka813 [3]

Answer:

Let the larger number = y and the smaller number = x.

The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,

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x + (2x - 10) = 38

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