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Gennadij [26K]
2 years ago
13

The sum of 4 consecutive integers is 122. What is the third number in this sequence?

Mathematics
1 answer:
kompoz [17]2 years ago
4 0

Answer:

31

Step-by-step explanation:

Let the smallest integer be x.

Since the 4 integers are consecutive (they come right after the other),

2nd integer= x +1

3rd integer= x +1 +1= x +2

4th integer= x +2 +1= x +3

Sum of the integers= 122

x +x +1 +x +2 +x +3= 122

4x +6= 122

4x= 122 -6

4x= 116

x= 116 ÷4

x= 29

3rd number

= 29 +2

= 31

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What can those engaged in politics from both parties learn about the Constitution from the debate over the Bill of Rights?
morpeh [17]

Answer:

The Federalists wanted a strong government and strong executive branch, while the anti-Federalists wanted a weaker central government. The Federalists did not want a bill of rights —they thought the new constitution was sufficient. The anti-federalists demanded a bill of rights.

Federalists argued that the Constitution did not need a bill of rights, because the people and the states kept any powers not given to the federal government. Anti-Federalists held that a bill of rights was necessary to safeguard individual liberty.

3 0
3 years ago
Michael purchased a new office computer system on January 23, 2018, at a cost of $3,791. He does not want to claim bonus depreci
fomenos

Answer:

$3,791

Step-by-step explanation:

$3,791+$3,791-$3,791=3,791 magic!

8 0
3 years ago
Read 2 more answers
Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe
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The Answer Is , 2.5-1.4 = 1.1
7 0
3 years ago
Read 2 more answers
Solve 91 - 2 + 7k| +1 = 46
mylen [45]

Answer:

k = -6.29

Step-by-step explanation:

91 - 2 + 7k + 1 = 46

add all like terms

90 + 7k =46

subtract

90 + 7k = 46

-90          -90

------------------------

7k = -44

divide

\frac{7k}{7} = \frac{-44}{7} (these arent fractions thats just how i divide things :))

= -6.28571428571

round to nearest hundredth

k= -6.29

goes up to 9 because 5 makes 8 go up one when rounding

sorry for asking so many questions. hope this helps

7 0
2 years ago
Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i
aleksandrvk [35]

Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175

Positive when there is raritanium:

98% of 13%

P(A) = 0.98*0.13 = 0.1274

What is the probability the rock sample actually contains raritanium?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967

0.967 = 96.7% probability the rock sample actually contains raritanium

7 0
2 years ago
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