answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mina [271]
2 years ago
6

1. Find three rational numbers between 7/12 and 7/11

Mathematics
1 answer:
Sonbull [250]2 years ago
5 0

Step-by-step explanation:

In this problem, we need to find three rational numbers between 7/12 and 7/11.

First rational no :

c=\dfrac{\dfrac{7}{12}+\dfrac{7}{11}}{2}\\\\c=\dfrac{161}{264}

Second rational no :

d=\dfrac{\dfrac{7}{12}+\dfrac{161}{254}}{2}\\\\d=\dfrac{1855}{3048}

You might be interested in
Which pair of expressions has equivalent values? 1 Superscript 13 and 1 Superscript 15 6 Superscript 1 and 9 Superscript 1 7 Sup
lora16 [44]

Answer:

1 Superscript 13 and 1 Superscript 15

Step-by-step explanation:

The process of exponentiation can be mathematically written as:

a^b

where a is called the base, and b is called the exponent.

Basically it means that we have to multiply the base with itself as many times as the value of the exponent.

For example 2^4 is 2•2•2•2

Having this in mind, 1^13 and 1^15 have equivalent values, because no matter how many times we multiply 1 with itself it will always be equal to 1.

8 0
2 years ago
Read 2 more answers
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (
irga5000 [103]

Answer:

The correct option is;

Use a scale factor of 2

Step-by-step explanation:

The parameters given are;

A = (1, -6)

B = (5, -6)

C = (6, -2)

D = (0, -2)

A'' = (1.5, 4)

B'' = (3.5, 4)

C'' = (4, 2)

D'' = ( 1, 2)

We note that the length of side AB in polygon ABCD = √((5 -1)² + (-6 - (-6))²) = 4

The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2

Which gives;

AB/A''B'' = 4/2 = 2

Similarly;

The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17

The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2

Also we have;

The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6

The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3

For the side DA  and D''A'', we have;

The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17

The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2

Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2

The correct option is therefore;

Use a scale factor of 2.

3 0
2 years ago
Read 2 more answers
a cylinder has a surface area of 339 square centimeters and a radius of 6 centimeters. estimate the volume of the cylinder to th
oee [108]
I divided 339 by 6 and got 56.5. That quotient rounded to the nearest whole number is 57. I hope I helped you.
4 0
2 years ago
Ted has a credit card that uses the average daily balance method. For the first 9 days of one of his billing cycles, his balance
slega [8]
Your question doesn't say what are the options, but we can make some reasoning.

The average daily balance method is based, obviously, on the <span>average daily balance, which is the average balance for every day of the billing cycle. Therefore, in order to calculate the average daily balance, you need to sum the balance of every day and then divide it by the days of the billing cycle.
In your case:
ADB = (9</span>×2030 + 21×1450) / 30 = 1624 $

Now, in order to calculate the interest, you should first calculate the daily rate, since APR is usually defined yearly, and therefore:
rate = 0.23 ÷ 365 = 0.00063 

Finally, the expression to calculate the interest could be:
interest = ADB × rate × days in the billing cycle
or else:
<span>interest = ADB × APR ÷ 365 × days in the billing cycle

In your case:
interest = 1624 </span>× 0.23 ÷ 365 × 30
             = 30.70 $
4 0
2 years ago
Read 2 more answers
An engineer is designing an arch-shaped gate for the entrance to an amusement park. The gate must be 80 feet wide and 25 feet ta
Tom [10]
1) the form of the equation may be written as y = A(X - Xo)(X - X1)

Where Xo and X1 are the two roots of the equation.


2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40


=> y = A (X + 40) (X - 40) = A (X^2 - 1600) 


3) The height, at X = 0 is 25

=> A(0 - 1600) = 25


=> -1600A = 25 => A = -25 / 1600 = - 1/64


4) The equation is y =  - [1/64] (X^2 - 1600)


5) You can present it in different equivalent forms.

Some of those other forms are:

1) - 64y = (x^2 - 1600)

2) x^2 = - 64y + 1600

3) X^2 = - 64 (y - 25)
4 0
2 years ago
Other questions:
  • A basketball is rolling with a velocity of 0.5 meters/second relative to the ground and due north. A tennis ball is rolling with
    9·1 answer
  • Workers on the assembly line produce 4x + 6 boats each day. Which expression shows how many boats they produced in 12 days?
    7·2 answers
  • The general form of the equation of a circle is x2 + y2 + 8x + 22y + 37 = 0. The equation of this circle in standard form is (x
    10·1 answer
  • Which of the following values are in the range of the function graphed below?
    8·2 answers
  • A study determined that the average student who graduates takes 58 months to graduate from college with a bachelor’s degree and
    9·1 answer
  • Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m
    7·2 answers
  • Lisa is william's niece, but she isn't emily niece even though emily is williams sister and william not married. how is it possi
    6·1 answer
  • The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table. A 2-column table with 7 rows. The
    12·2 answers
  • EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
    7·1 answer
  • Ming used the calculations shown to find out how much he would spend on 6 pounds of ground beef if 10 pounds of ground beef cost
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!