Answer:
Why might he think that and what would you tell him?
He thought perhaps that numbers were formed by rational numbers of the form [tex]\frac{1}{x}[/tex], where [tex]x\in \mathbb{N}[/tex]. I would tell him that there are rational numbers [tex]\frac{y}{z}[/tex], such that [tex]\frac{1}{x}\le \frac{y}{z} \le \frac{1}{x+1}[/tex], where [tex]x[/tex], [tex]y[/tex], [tex]z \in \mathbb{N}[/tex].
Is there a number that falls between these?
[tex]\frac{7}{24}[/tex] is a rational number between [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
Why might he think that and what would you tell him?
He thought perhaps that numbers were formed by rational numbers of the form [tex]\frac{1}{x}[/tex], where [tex]x\in \mathbb{N}[/tex]. I would tell him that there are rational numbers [tex]\frac{y}{z}[/tex], such that [tex]\frac{1}{x}\le \frac{y}{z} \le \frac{1}{x+1}[/tex], where [tex]x[/tex], [tex]y[/tex], [tex]z \in \mathbb{N}[/tex].
Is there a number that falls between these?
Indeed, the average number of [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex], for instance. That is:
[tex]\frac{y}{z} = \frac{\frac{1}{3}+\frac{1}{4} }{2}[/tex]
[tex]\frac{y}{z} = \frac{\frac{7}{12} }{2}[/tex]
[tex]\frac{y}{z} = \frac{7}{24}[/tex]
[tex]\frac{7}{24}[/tex] is a rational number between [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex].
Which of the following is formed by the intersection of a right circular cone and a plane?
Vertex
Conic section
Linear equation
Nappe
how many solutions does 3x = 2x + 4 have
Answer:
One Solution: x = 4
Step-by-step explanation:
Step 1:
3x = 2x + 4 Equation
Step 2:
3x - 2x = 4 Subtract 2x on both sides
Answer:
x = 4
Hope This Helps :)
The blueprints of a house show that a wall is 21 feet long. If the blueprints have a map scale of 1.5 inches = 3 feet, how long is the model wall
Answer:
10.5 inches
Step-by-step explanation:
Multiply (3x-4)(2x-1)
Answer:
6x^2+4
Step-by-step explanation:
multiply :D
HELP PLEASE ANSWER THIS
50 times 5
Answer:
50 times 5 is equal to 250
Step-by-step explanation:
lol, what a great question!!!!
PLEASEEE HELP ASAPPPP . When solving using Elimination:
When adding the following equations, which variable will be eliminated?
6x + 3y = 9
4x - 3y = -19
1. Y 2. Neither 3. X
which of the following points are solutions to the equation 3x-4y-8=12
HELLP MEEEEEEE:))))))))))))
Answer:
its A
Step-by-step explanation:
cognitive means concerned about a choice or something like a question
and im in elementary and i know it XD
What is the slope of the line passing through the given points 4,2 and -2,1
Answer:
Alright, here is the formula.
m = (y2 -- y1) / (x2 -- x1)
So, now we have to take the points and replace them with the variables.
m = (1 - 2) / (-2 - 4)
Great! So now, we have to solve.
1 - 2 = -1
-2 - 4 = -6
So now, it would be:
-1/6
That is the slope! Hope this helps! :)
Can someone please help me with this problem. I will give brainliest!
Write the equation of the line that is perpendicular to the y-axis and passes through the point (-4, 5).
Explanation:
The y axis is vertical. Anything perpendicular to this is horizontal.
All horizontal linear equations are of the form y = k, where k is any number.
In this case, k = 5 so that the line y = 5 goes through all points with y coordinate 5. Two points on this line are (-4,5) and (1,5).
Note how y = 5 is equivalent to y = 0x+5. We see the slope is 0 and the y intercept is 5. Compare this to y = mx+b.
ASAP I WILL MARK BRAINLIST!!!!!!
You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Sevilla in the year 1842. Outside your barracks window is a stack of cannonballs, as shown in the illustration. On an idle afternoon you decide to calculate the number of cannonballs in the stack. What is the number of cannonballs?
In Sevilla in the year 1842, you are Miguel Cervantes de Navas y Colon, a captain in the Royal Spanish Army. The total number of cannonballs in the stack is 385.
Given that,
In Sevilla in the year 1842, you are Miguel Cervantes de Navas y Colon, a captain in the Royal Spanish Army.
A pile of cannonballs is seen outside the window of your barracks.
The total number of cannonballs can be calculated using the steps below:
The following is a general formula to determine how many cannonballs are altogether in the stack:
Total number of cannonballs is n(n+1)(2n+1)/6
where "n" represents the overall number of layers.
Change the value of "n" in the formula above.
1st layer is stack of cannonballs is 1²=1 cannonball.
2nd layer is stack of cannonballs is 2²=4 cannonballs.
3rd layer is stack of cannonballs is 3²=9 cannonballs.
last layer is stack of cannonballs is 10²=100 cannonballs.
n is 10.
Substitute in the formula
=10(10+1)(2×10+1)/6
=10×11×21/6
=385
Therefore, the total number of cannonballs in the stack is 385.
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what is 30 times 48?
Answer:
1440
Step-by-step explanation:
It’s 1440
Okay, After this i'm done asking for help. I hope..
A family eats out at a restaurant and the total for their meals is $73.89. They also pay sales tax of 5.8% and leave a tip for their server. If the family leaves a total of $93, which of the following might be a description of the service they received?
a.
They left a 10% tip, so the service was probably below average.
b.
They left a 15% tip, so the service was probably average.
c.
They left a 20% tip, so the service was probably above average.
d.
They left a 25% tip, so the service was probably outstanding.
Answer:
Hehe boi
Step-by-step explanation:
for a fundraising campaign, a club has a choice of buying products for $20 plus 50% of the sales or $100 plus 25% of the sales. For what level of sales would the club have to pay the same total with either deal?
Answer:
Step-by-step explanation:
20 plus .5x = 100 plus .25x
.25x=80
x=320.
An equation is formed of two equal expressions. The level of sales for which the club have to pay the same total with either deal is $320.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the level of sales be represented by x, and the total amount to be paid be represented by y. Therefore, for the first option, the equation can be written as,
y = 20 + 0.5x
Also, For the second option, the equation can be written as,
y = 100 + 0.25x
Now, the level of sales for which the club have to pay the same total with either deal can be found by computing the equation with each other. Therefore,
20 + 0.5x = 100 + 0.25x
0.5x - 0.25x = 100 - 20
0.25x = 80
x = 320
Hence, the level of sales for which the club have to pay the same total with either deal is $320.
Learn more about Equation:
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A floral shop earns a profit of $4500 in March and $20500 in July, what is the rate of change in profit for this time period
what kind of flower shop are you talking about
I need help on this asap I'm stuck on these questions
I need help on this asap I'm stuck on these questions
Answer:
There is no picture
6th grade math i mark as brainliest
Answer: i think it is the first one gl
Step-by-step explanation:
Answer:
Coefficient
Step-by-step explanation:
Helppp help help help help ASAP help plz
Answer:
first second and third i believe
Step-by-step explanation:
Answer:
the first and third
Step-by-step explanation:
hope i was right lol
The measure of the quality of a person's life based on income and the type
and quantity of goods available to him or her is
A. utilities
B. standard of living
c. a budget
D. housing
A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the box.The box has a width of 5 feet a length of 6 feet and a height of 8 feet. How long will the diagonal support need to be
Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]x^{2}[/tex] = [tex]6^{2}[/tex] + [tex]5^{2}[/tex]
[tex]x^{2}[/tex] = 36 + 25
= 61
x = [tex]\sqrt{61}[/tex]
= 7.81
let the length of the diagonal support be represented by l. So that;
[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]l^{2}[/tex] = [tex]x^{2}[/tex] + [tex]8^{2}[/tex]
= [tex]\sqrt{61}[/tex] + 64
l = [tex]\sqrt{\sqrt{61} + 64 }[/tex]
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.
Prove angle DBC= 45 degrees
Answer:
90 divided by 2
Step-by-step explanation:
you're going to do 90 divided by 2 and then you get 45
HELP I NEED TO TURN THIS IN
Answer:
EF=35
EG=44
Step-by-step explanation:
1. Dan charges $15 per hour for walking dogs. What is the missing number in the table?
A 50
C 75
B 60
D 82.5
What is the slope of the line that passes through the points (8,4) and (20,-4)?
Write your answer in simplest form.
Answer:
for (8,4) is 2 and for (20,_4) is _5
Chris earns $44 washing 4 cars. At this rate, how much does Chris earn washing 6 cars?
Answer:
$66 for 6 cars.
Step-by-step explanation:
This is a rather simple problem. To find the answer you must divide 44/4= 11. Now knowing that Chris earns $11 per car if you multiply 11x6= 66 you can find out Chris makes $66 for 6 cars.
1/2 - (3/4 - 3/8)
full answer is needing pls with steps!
Answer:
1/8
Step-by-step explanation:
First, take 3/4 and make a common denominator with 3/8. You can make 3/4 into 6/8. Now, subtract 3/8 from 6/8 which is 3/8.
Second, find the common denominator between 3/8 and 1/2. You can make 1/2 into 4/8.
Third. Now subtract 3/8 from 4/8. You get 1/8.
The answer therefore is 1/8
btw its an easy question!
Could someone help me with these two
On how to find the area of these two figures
1st one: 3x^2 (3x squared) then squared again
2nd one: 4y^2 • y^3 +2
ILL MARK BRAILIEST!!!
what is the solution to the system of equations shown below?
Answer:
(3, -2)
Step-by-step explanation:
If mZ1 = 42, what is m
Z2
Answer:
48?
Step-by-step explanation:
Convert the mixed number 1 1/2 to an improper fraction
Answer:
1 1/2 = 3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
because the whole number one is equal to 2 halves for it would be 2+1 which would give u 3 over 2 hope that helps :)