5/6-4/5 in simplest form

Answer:

every angle equals 60°

Step-by-step explanation:

the sum of angles of any triangle is 180 so the equilateral triangle have all angles equal so 180 ÷ 3 = 60

The reasonable domain for this situation is { 1, 2, 3, 4, 5, 6 }.

A set is a well defined collection of objects.Set are represented by many forms two of them are set builder form and roaster form.

According to the given question The cost of a dozen eggs is 2.50 dollars.

At this store you must by them in packs by the dozen and they do not allow you to buy more than 6 dozen eggs at a time,So we can buy eggs in dozen from 1 dozen to 6 dozen.

This can be represented in roaster form by { 1, 2, 3, 4, 5, 6 }.

This can also be represented by set builder form as { x : x ∈ N and 1≤x≤6 }  

where x represents no. of dozens of egg.

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Answer:

132

Step-by-step explanation:

.....................................

Step-by-step explanation:

f(x) = 4x + 15

6x - 3

if x = -1 (replace x with -1 )

f(-1) = 4(-1) + 15

6(-1) -3

= -4 + 15

-6 -3

= -11

-9

"minus cancel each other when dividing"

Answer = 11

9 or 1.22

Hope this helps ...:⁠-⁠)

Answer:

I know that the inequality is 85-4x<40

but im not sure on how to solve it, i think the answer is  12

becuase

85-4(12)< 40

85-48<40

37<40

Step-by-step explanation:

Answer:  85 - 4x < 40; 11

Step-by-step explanation:

85 - 4x < 40

-85          -85

    - 4x < -45  

[When dividing a negative number, change the inequality sign to the opposite sign.]

         x >  11.25  

The the cars was integer, and x is greater than 11.25, therefore, Mr.Schwantz will need to order more wheels after building 11 cars.

With the partial product method the multiplication answer is 4725.

According to the statement

We have to find that the by which strategy for multiplying 75 and 63 should result In the correct product.

So, For this purpose, we know that the

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place.

From the given information:

We have to multiply the numbers 75 and the 63.

Then

According to the above written strategy,

75 = 70+5 and

63 = 60+3

Then

75*63 = (70*60) + (70*3) + (5*60) + (5*3)

then solve it

75*63 = (4200) + (210) + (300) + (15)

75*63 =  4410 +  315

75*63 =  4725.

So, With the partial product method the multiplication answer is 4725.

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The measure of AM and BM from the given coordinate points are 8.37 units respectively

The formula for calculating the distance between coordinate points is expressed according to the equation

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate points A (-3, -12) and M(-5, -4). The measure of the distance AM is expressed as:

AM = √(-4+12)²+(-5+3)²

AM = √(8)²+(-2)²

AM =  √70

AM = 8.37 units

Similarly;

Given the coordinate points B(-7, 4). and M(-5, -4). The measure of the distance AM is expressed as:

BM = √(-4-4)²+(-5+7)²

BM = √(-8)²+(2)²

BM =  √70

BM = 8.37 units

Hence the measure of AM and BM from the given coordinate points are 8.37 units respectively

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Answer: log4=0.60206    log15=1,17579

Step-by-step explanation:

[tex]log4=\\log2^2=\\2log2=\\2(0.30103)=\\0.60206\\\\log15=\\log(3*5)=\\log3+log5=\\0.47712+0.69897=\\1.17579[/tex]

Weighted vote is the policy of law-making where each representative has a variable voting power.

A policy- or law-making body may use weighted voting, where each representative has a variable voting power (weighted vote) based on the number of principals who have designated them as their proxy or the size of the electorate they represent.

The challenge of distributing resources fairly among a group of individuals is to ensure that each person is given their fair share. This is fair division.

Representatives are apportioned among the states in order to create a fair split or distribution. This is apportionment.

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The quotient of the given fraction 45/9 is 5.

Quotient:

So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5

(Refer to the picture given below for working)

Therefore, the quotient of the given fraction is 5.

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Sophia will be twice as old as Maya in 3 years  

From the question, we are to determine the number of years when Sophia will be twice as old as Maya

From the given information,

"Maya is 12 years old"

and

"Sophia is 15 years older than Maya"

Thus,

Sophia is 12 + 15 years

Sophia is 27 years

Let the number of years when Sophia will be twice as old as Maya be x

Then,

27 + x = 2(12 + x)

Solve for x

27 + x = 24 + 2x

27 - 24 = 2x - x

3 = x

x = 3

Hence, Sophia will be twice as old as Maya in 3 years  

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Answer: 12x+17

Step-by-step explanation:

(hog)(x)=

h(g(x))=

h(4x+5)=

3(4x+5)+2=

12x+15+2=12x+17

Answer:

honestly, I don’t think I’m right

Step-by-step explanation:

Array A = [1, 0, 0, 1, 0, 0], there are four coins showing heads and two showing tails.

def solution(A):

n = len(A)

dp = [[0 for x in range(2)] for y in range(n)]

if A[n-1] == 0:

  dp[n-1][0] = 0

  dp[n-1][1] = 1

else:

  dp[n-1][0] = 1

  dp[n-1][1] = 0

for i in reversed(range(len(A)-1)):

  if A[0] == 0:

    dp[i][0] = dp[i+1][1]

    dp[i][1] = dp[i+1][0] + 1

  else:

    dp[i][0] = dp[i+1][1] + 1

    dp[i][1] = dp[i+1][0]

return min(dp[0][0], dp[0][1])

An array of computer drives is a collection of two or more drives that operate as a single drive. For instance, in a RAID array, a user may make use of numerous drives that are mirror images of one another to help secure the data stored on the drives.

A data structure called an array consists of a set of elements (values or variables), each of which is identifiable by an array index or key. Depending on the language, additional data types that describe aggregates of values, such lists and strings, may overlap (or be associated with) array types.

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Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:

F = Wsinθ

Where:

Making theta (θ) the subject of formula, we have:

θ = sin⁻¹(F/W)

Substituting the given parameters into the formula, we have;

θ = sin⁻¹(160/2710)

θ = sin⁻¹(0.0590)

Theta, θ = 3.38 degrees.

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Answer:

x=7

7-7/7-6=0

0/1=0

Zero divided by anything=0

The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.

Perimeter is the sum of all the sides of a two dimensional polygon or shape.

For first rectangle let x represent width:

Length = 2x + 10; width = x

Perimeter = 2(length + width)

Perimeter = 2(2x + 10 + x) = 6x + 20

For second rectangle:

Length = 2x + 10 + 100 = 2x + 110; width = x - 20

Perimeter = 2(length + width)

Perimeter = 2(2x + 110 + x - 20) = 6x + 180

the perimeter of the new rectangle would be twice the perimeter of the original rectangle. Hence:

6x + 180 = 2(6x + 20)

x = 23.33 m, length = 2x + 10 = 56.66

The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.

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The stretch length is 27/8 inches

The given parameters are

Unstretch = 1 1/8 inches

Stretch = 4 1/2 inches

The length of stretch is calculated using

Length = Stretch - Unstretch

So, we have

Length = 4 1/2 - 1 1/8

Evaluate the difference

Length = 3 3/8

Express as improper fraction

Length = 27/8

Hence, the stretch length is 27/8 inches

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Answer:

  14

Step-by-step explanation:

You want the greatest common factor of the terms {98ab^3, 84a, 140b, 112ab​}.

There are no variables that are common to all terms. 'a' and 'b' are each common to 3 of the 4 terms, but not all.

The greatest common factor of the constants cannot be larger than the smallest difference of the constants. That difference is ...

  98 -84 = 112 -98 = 14

Since 14 is a divisor of all of the constants, 14 is the greatest common factor.

__

Additional comment

Factoring out the greatest common factor, we have ...

  = 14{7ab³, 6a, 10b, 8ab}

Answer:

A

Step-by-step explanation:

x + 2 + [ 4x - [tex]\frac{x^2+6x+8}{x+4}[/tex] ] ← factorise the quadratic on the numerator

= x + 2 + [ 4x - [tex]\frac{(x+4)(x+2)}{x+4}[/tex] ] ← cancel (x + 4) on numerator/denominator

= x + 2 + (4x - (x + 2)

= x + 2 + 4x - x - 2 ← collect like terms

= 4x

Answer:

15.4a + (-14)

Step-by-step explanation:

I had the same test :3

No, jacob is not correct.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Expression= 1/3 + 6sqrt5/7

Now,

The sum of the expression 1/3 + 6sqrt5/7 is not rational, even though it is a fraction. A rational number is a number that can be written as the ratio of two integers, such as 1/3 or -4/5. An irrational number is a number that cannot be written as the ratio of two integers, such as sqrt2 or pi.

The expression 1/3 + 6sqrt5/7 contains an irrational term, 6sqrt5/7. This term cannot be simplified to the ratio of two integers, because sqrt5 is irrational. Therefore, adding this term to 1/3 does not make it rational. The sum of a rational and an irrational number is always irrational.

Therefore, by the fraction the answer will be No.

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Answer: f(0)=40/x

Step-by-step explanation:

f(n)=2xf(n-1)-50

f(1)=2xf(1-1)-50

f(1)=2xf(0)-50

30=2xf(0)-50

2xf(0)=80

f(0)=80/(2x)

f(0)=40/x

So the best actor's age deviates from the mean, he receives the award at the most extreme age.

In response to this question:

Whichever z-score does have the highest absolute value, such that, the one that deviates the most from the mean, has a most extreme age.

Best actor: 31 years old, so.

The mean age of the best actors is 42.2 years, with a standard deviation of 8.2 years.

z = (x - μ)/σ

Put the values;

z = (31 - 42.2)/ 8.2

z = -1.36

Best actress:

So, at the age of 42,

The mean of the best actresses is 31.6 years, with a standard deviation of 10.3 years.

z = (x - μ)/σ

Put the values;

z = (42 - 31.6)/10.3

z = 1.01

Thus, Because the best actor's age is further from the mean, he has the most extreme age when receiving the award.

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Answer: AC=15

Step-by-step explanation:

AC=AB+BC

AC=12+3

AC=15

Answer:

[tex]\frac{36}{B^2}[/tex]

Step-by-step explanation:

Given:

[tex]AB=12\\BC=3[/tex]

Find:

[tex]AC[/tex]

First, arrange equation 1 to isolate A by dividing both sides by B:

[tex]AB=12\\A=\frac{12}{B}[/tex]

Then, arrange equation 2 to isolate C by dividing both sides by B:

[tex]BC=3\\C=\frac{3}{B}[/tex]

Now, multiply A and C together and simplify:

[tex]AC=\frac{12}{B}*\frac{3}{B}[/tex]

[tex]AC=\frac{36}{B^2}[/tex]

A library's design is scaled at  [tex]\frac{1}{3}[/tex] inch = 1 feet. The library in the drawing is 12 inches height. The library's true height is 432 inches, or 36 feet.

Given that,

A library's design is scaled at  [tex]\frac{1}{3}[/tex] inch = 1 feet.

The library in the drawing is 12 inches height.

We can take  [tex]\frac{1}{3}[/tex] inch = 1 feet

1 inch=3 feet = 36 inches.

36 inches is the actual height .

Now actual height of the library is

Multiplication of the height of the library in the drawing is 12 inches and the new height 36 inches.

12[tex]\times[/tex]36=432 inches

We can say 432 inches is equal to 36 feet.

Therefore, 432 inches or 36 feet is the actual height of the library.

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S(x) + 0.20(x/12) = 0

S(x) = -0.20(x/12) it is a function that represents the discount on the monthly premium for a “good student.

From the question,

A student has a GPA of 3.0 gets good student discount of 20%

Write a function with ‘S’  that represents the discount of the monthly premium for a good student.

S(x) = -0.20(x ÷ 12)

S(x) is a function and student got a discount of 20%.

i.e., 20/100 = 0.20

The function that represents the discount on the monthly premium so x/12  

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Hence, it s a function that represents the discount on the monthly premium for a “good student.

S(x) + 0.20(x/12) = 0

S(x) = -0.20(x/12)

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Answer: The judge did not follow the speed limit of 65mph because if she did she would have not gotten there in 2 hours. The judge was actually going at 85 mph.

Step-by-step explanation: