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3 years ago

The sum of two consecutive integers is 77. Find the integers.

Mathematics

2 answers:

SIZIF [17.4K]3 years ago

5 0

Answer:

38 and 39

Step-by-step explanation:

Since the two integers are consecutive, then one is one larger than the other. Therefore, lets call them x and x+1. We can now set up the following equation:

x+(x+1)=77

2x+1=77

2x=76

x=38

x+1=39

Hope this helps!

Rashid [163]3 years ago

5 0

Answer:I believe it is 39 and 38

Step-by-step explanation:

x + (x+1) = 77

2x = 76

x = 38 (1st number)

x+1 = 39 (2nd number)

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If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

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7 months ago

Complete the statements about the series

AleksAgata [21]

Answer:

Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.

This means that the value of k will go from 0 to 4, then all the numbers in the sum are:

(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4

So we have 5 terms in our series.

b) to see the sign in each term, we must solve the powers, remember that:

(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:

(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4

= 1 -1/2 + 1/4 - 1/8 + 1/16.

So the sign in each term of the series alternates.

4 0

2 years ago

A particular restaurant can legally have only 150 people in it at one time. The tables in the restaurant can seat 4 people at a

Alchen [17]

Answer:

a. 37

Step-by-step explanation:

Do 150 divided by 4 so you know how many tables there can be.

150/4

37.5 You can only have 37.5 tables so the awnser is A.37

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2 years ago