The least number of consecutive positive integer that is required to make the sum of the reciprocals greater than three is 7.
<h3>What is an integer?</h3>
An integer is simply a number that is not a fraction.
The first four consecutive positive integers are:
1, 2, 3 , 4.
Their reciprocals are:
1/1, 1/2, 1/3, 1/4; and
The sum of them are greater than 2; that is
1/1 + 1/2 + 1/3 + 1/4 = 2.08333333333 > 2
to make the expression >3
We would require the following integers
1/1 + 1/2 + 1/3 + 1/4+ (1/5) + (1/6) + (1/7) + (1/8)+ (1/9) + (1/10) + (1/11) = 3.01987734488
Thus, the additional consecutive reciprocal integers that is required to make the sum of the reciprocal of the fist four greater than 3 is 7.
Learn more about reciprocals at:
brainly.com/question/673545
#SPJ1
Answer:
x = 20
4x = 80°
5x = 100°
Step-by-step explanation:
The given angles are supplementary so their sum is 180°
4x + 5x = 180
9x = 180 divide both sides by 9
x = 20
The value of the angle marked 4x = 4 × 20 = 80°
The value of the angle marked 5x = 5 × 20 = 100°
Answer:
<h2>
y=6.25x+8.5</h2>
Step-by-step explanation:
Step one:
Given data
amount of money earned per hour= $6.25
amount of money made in tips= $8.5
if x represents the number of hours worked and
y represents the total amount earned
The linear function for the total is expressed as
y=mx+c
Step two:
Hence for the situation given the expression for the total is
y=6.25x+8.5
Say Kayla worked for 2 hours
that is x=2, the total she would have earned is
y=6.25(2)+8.5
y=12.5+8.5
y=21
For a 2 hour work, Kayla will make $21
Answer:
C. h + k (t - 1)
Step-by-step explanation:
<em>If we use an example, you can plug in the numbers and test out which equation works. Say the first hours costs $10 and each hour after that is an additional $5. If someone rents a jet ski for 4 hours, how much did it cost?</em>
The first hour = $10
The 3 additional hours (totaled) = $15
Cost = $25
<em />
<em>So now that we know the cost, we can plug in our numbers to these equations to find which one comes out with $25.</em>
h = 10
k = 5
t = 4
<u>A</u>. 10 + 4 + 5 = <u>19</u>
<u>B</u>. 10 + (4 · 5) = 10 + 20 = <u>30</u>
<u>C</u>. 10 + 5 (4 - 1) = 10 + 5 (3) = 10 + 15 = <u>25</u>
<u>D</u>. 10 + 5 (4 + 1) = 10 + 5 (5) = 10 + 25 = <u>35</u>
<u>E</u>. 10 + (4/5 - 1) = 10 + (-0.2) = <u>9.8</u>
<em>C is the only problem that comes out as $25, therefore it must be the correct answer.</em>
Answer:
I think its 5?
Step-by-step explanation:
