WHAT EXPRESSION CORRECTLY ILLUSTRATES THE GREATEST COMON FACTOR BEING FACTORED 72 + 40

Answers

Answer 1

It should be noted that the expression for 72 + 40 will be 8(9 + 5).

How to find the factor?

The factors of 72 are:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

The factors of 40 include:

1, 2, 4, 5, 8, 10, 20 and 40

Therefore, it can be seen that the greatest common factor between the numbers is 8.

The expression for 72 + 40 will be 8(9 + 5).

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Related Questions

This is for physical science
You call your parents to explain your issue with having a smashed phone and your parents travel at 0 meters in 2.5 hours. How fast did your parents rush to get here?

Answers

After calling the parents, and explaining them the issue of smashed phone, they travelled at a speed of 2.223 m/s = 8.0028 km/hr

As per the question statement, we are given that we call our parents to explain our issue with having a smashed phone and your parents travel at 20000 meters in 2.5 hours. We are supposed to find out that how fast did the parents rush to get here. Basically we have to find their speed of travelling.

Before solving the question, we must be aware that what is speed.

[tex]speed = \frac{distance}{time}[/tex]

and distance and time should be in SI units.

Given distance = 20,000 meters

Given time = 2.5 hours

[tex]1 hour = 60 min\\2.5 hour = 2.5*60\\2.5 hour = 150 min[/tex]

[tex]1 min = 60 sec\\150 min = 150*60 sec\\150 min= 9000 sec[/tex]

Therefore given time = 9000 sec

Therefore speed = [tex]\frac{distance}{time} = \frac{20000}{9000}[/tex]

Speed= 2.223 m/sec

Hence they travelled at a speed of 2.223 meters per second

2.223 m/s = 8.0028 km/hr

Speed: The speed it the distance covered by an object or body or person per unit time or time taken by him/her to cover the given distance. SI Unit: [tex]m/sec[/tex]

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Make a conjecture about the measure of an exterior angle and the sum of the measures of its nonadjacent interior angles.

Answers

Here we can conjecture that :

The measure of an exterior angle is equal to the sum of measures of its nonadjacent interior angles.

What is interior and exterior angle ?

The exterior angle of any polygon is defined as the angle which is at the outside boundaries of that polygon. whereas, the interior angle is defined as the angle which is inside the polygon. In the other words if the polygon has the point within the angle it is in the interior of the angle , but if the point is outside then is it said to be in the exterior of the angle.

What is Non adjacent interior angle ?

Non adjacent angles are those angles which are not adjacent to each other. The non adjacent angles follow one of the  properties which are listed below:

They do not share a common vertex or common side.They can share a side, but not share the common vertex.They share a common vertex, but not share the common side.

In the given question,

taking a example say a triangle ABC with  ∠A=64,  ∠B = 45 and an external angle x to the side AC.

as sum of angles equal to 180

thus,  ∠A +  ∠B +  ∠C = 180

         64 + 45 +  ∠C = 180

          ∠C = 180-109 = 71

now as x is external to  ∠C,

therefore x = 180 -  ∠C = 180 - 71

                x = 109 =  ∠A +  ∠B

Hence we can make the conjecture that, the measure of an exterior angle is equal to the sum of measures of its nonadjacent interior angles.

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Write down the Equation

Answers

Answer:

[tex]2 \sqrt{45} [/tex]

Answer: (1) y= 2*4-1

(2) y= 2*0-1

Step-by-step explanation:(1) y=8-1

y=7

(2) y=0-1

y= -1

A car is traveling at a speed of 100 kilometers/hour. How many hours will it take to cover a distance of 750 kilometers?

Answers

Answer:

7.5 hours

Step-by-step explanation:

Answer:

7.5 hours

Step-by-step explanation:

A car is traveling at 100 km/hr. How many hours will it take to cover a distance of 750 km? 750km ÷ 100km/hr = 7.5 hrs.

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Bronson is creating a right triangular flower bed. If two of the sides of the flower bed are 7 feet long each, what is the length of the third side to the nearest foot?

Answers

The length of the third side of the right triangular flower bed is 10 feet.

A right-angled triangle is a triangle with one of its interior angles equal to 90°. The side opposite to the right angle is the largest side and is referred to as the hypotenuse. Hypotenuse is always greater than any of the other two sides.

If two of the sides of the flower bed are 7 feet long each, then these are the sides adjacent to the right angle. We are to find the length of the third side, which is the hypotenuse, using the Pythagorean theorem.

Pythagorean Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the two other sides.

c^2 = a^2 + b^2

where a and b are the adjacent sides to the right angle

c is the hypotenuse

c^2 = 7^2 + 7^2

c^2 = 49 + 49

c^2 = 94

c = 9.899

Hence, he length of the third side of the right-angled triangular flower bed is 10 feet.

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Aisha is working two summer jobs, making $7 per hour babysitting and $8 per hour
landscaping. Last week Aisha worked 2 more hours babysitting than hours
landscaping and earned a total of $134. Write a system of equations that could be used to determine the number of hours Aisha worked babysitting last week and the number of hours she worked landscaping last week.

Answers

The number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Aisha is working two summer jobs, making $7 per hour babysitting and $8 per hour landscaping

Let the number of hours babysitting would be x

And the number of hours landscaping would be y

Last week Aisha worked 2 more hours babysitting than hours landscaping and earned a total of $134.

y = x + 2

7x + 8y = 134

Substitute the value of y = x + 2 in the equation,

7x + 8(x + 2) = 134

7x + 8x + 16 = 134

15x = 134 - 16

15x = 118

x = 118/15

x = 7.9

Substitute the value of x = 7.9 in the equation y = x + 2 ,

y = 7.9 + 2

y = 9.9

Therefore, the number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively

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Answer:

(x,y)=(10,8)

Step-by-step explanation:

Let x be hours worked babysitting and y be hours worked landscaping.

We would have our first equation, 7x+8y=134.

Knowing that she worked 2 more hours babysitting than landscaping, we can determine and replace the x variable as: x=y+2

7(y+2)+8y=134

Use the distributive property to multiply 7 by y+2.

7y+14+8y=134

Combine 7y and 8y to get 15y.

15y+14=134

Subtract 14 from both sides.

15y=134−14

Subtract 14 from 134 to get 120.

15y=120

Divide both sides by 15.

y=120/15​

Divide 120 by 15 to get 8.

y=8

and since she worked 2 more hours babysitting, x=10.

Let's replace our values in the original equation:

7x+8y=134

7(10)+8(8)=134.

70+64=134.

Therefore, we can conclude that Aisha worked 10 hours babysitting and 8 hours landscaping last week.

Hope this helped!

Look at the picture and help me figure how many planes are in the figure.

Answers

Answer: C

Step-by-step explanation:

6 planes

Answer: C, 6)

Step-by-step explanation: Area of square = a2 Square units, where a is the side length of square.

Area of rectangle = l × b Square units, where l is the length, b is the breadth.

Area of circle = π × r2 Square units, where r is the radius of a circle.

Evaluate each expression 2^6

Answers

Answer:

64

Step-by-step explanation:

2^6=2x2x2x2x2x2 which then equals to 64

How is -89 represented using 8-bit two's compliment? (the answer should be 8 binary digits)

Answers

-89 can be represented by using 8-bit two's compliment as 10100111.

What is binary encoding?

Binary encoding can be defined as a standard technique that is designed and developed to convert data in plain text (source alphabets) to a form that is easily used by different operating systems (OS), especially through the use of a binary digit (bit) or two-symbol system.

In Computer programming, two's complement of base-10 is generally easier to implement because it has a single representation of 0 only.

How to convert a binary (base-10) to decimal (base-2)?

First of all, we would determine the positive version of -89, which is 89:

2 | 89

2 | 44 R 1

2 | 22 R 0

2 | 11 R 0

2 | 5 R 1

2 | 2 R 1

2 | 1 R 0

2 | 0 R 1

Next, you would read the decimal number (base-2) upward and this gives:

89₂ = 01011001.

For the negative integer number representation on 8-bits, we would replace all the 0s with 1s and the 1s with 0s as follows:

01011001 = 10100110

For the 8-bit two's complement, we would add 1 to the above number:

-89 = 10100110 + 1

-89 = 10100111.

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First person to answer gets brainliest!

Please give me a step-by-step explanation for question m).
No links are allowed, and will be blocked. ❌

Answers

Answer:

Step-by-step explanation:

10² + 2(6 - 3)²

100 + 2 (3)²

100 + 2(9)

100 + 18

118

(0,7) (1,5) (-1,13)

How to find the quadratic equation given only these points (standard form)

Answers

Answer:

(x - 1)^2 =1/2 ( y - 5) or 2x^2 - 4x - y + 7 = 0

Step-by-step explanation:

(x - 1)^2 =1/2 ( y - 5)

or

x^2 - 2x + 1 = y/2 - 5/2

2x^2 - 4x + 2 - y + 5 = 0

2x^2 - 4x - y + 7 = 0

Summit (1,5) = (h,k)

4p = 2

p = 1/2

(x - h)^2 = 1/2(y - k)

14 < -2a + 6-2a
What is the inequality

Answers

Answer:

a < -2.

Step-by-step explanation:

14 < -2a + 6-2a

14 < -4a + 6

14 - 6 < -4a

-4a > 8

Divide both sides by -4:

a < -2.

Note that the inequality flips because we are dividing by a negative number.

Please help. im in need

Answers

3*3=9

4*3=12

9*12=108 sq feet

“Twice a number minus 5 is 7”

Answers

Answer: the number would be 6

Step-by-step explanation:

6 x 2 = 12, 12 - 5 = 7, so the number is 6

Write an explicit and a recursive formula for each arithmetic sequence. 17,8,-1, . . . . .

Answers

For sequence: 17,8,-1, ., the explicit formula is a(n) = 26 - 9n, the recursive formula is a(n) = a(n-1) - 9

To find the recursive and explicit formula, we need to find the common difference (d) first.

In an arithmetic sequence, the common difference is the difference between two consecutive terms.

So, in the given sequence: 17,8,-1, ..

d = a(2) - a(1) = a(3) - a(2)

d = 8 - 17 = -1 - 8 = -9

Recursive formula : the formula of nth term in relation with (n-1)th term.
a(n) = a(n-1) + d
Substitute d = -9, we get the recursive formula is:
a(n) = a(n-1) - 9Explicit formula: the formula of nth term in relation with the first term and the common difference.
a(n) = a(1) + (n-1) . d
In the given sequence, a(1) = 17, and d = -9, hence:
a(n) = 17 + (n-1) . (-9)
a(n) = 17 - 9n + 9
a(n) = 26 - 9n

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Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion. 16/x = 0
the equation has
a. no solutions
b. infinite solutions
c. one solution
A value of a that makes the equation false is ____, which when substituted into the equation and simplified makes the equation turn into ____=_____ Another value of x that makes the equation false is _____, which when substituted and simplified makes the equation turn into ____=____​

Answers

Answer:

Part 1: The equation has no solution

Part 2: A value of a that makes the equation false is 2, which when substituted into the equation and simplified makes the equation turn into 2=4.

Another value of a that makes the equation false is -1, which when substituted and simplified makes the equation turn into -1=1.

There are honestly a lot of possible values for x for the second part here, but let me know if this is right

Step-by-step explanation:

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An airplane on a long-distance flight flew the first 1295 miles of it's journey on 3 hours and 33 minutes. After that, the wind changed, and it took the plane 1 hour and 47 minutes to cover the remaining 738 miles. What was the plane's average speed during the flight?

Round to the nearest tenth

Answers

The plane's average speed during the flight is 381.43 miles per hour.

What is the average speed?

The average speed is the quotient of the total distance covered during the flight divided by the total time used.

The Average Speed is the scalar quantity that shows the rate of change in displacement from one point to another.

Data and Calculations:

The distance for the first miles = 1,295 miles

The time it took the plane to cover the distance = 3 hours 33 minutes

The distance for the last lap = 738 miles

The time it took the plane to cover the last distance = 1 hour 47 minutes

The total distance covered for the journey = 2,033 miles (1,295 + 738)

The total time for the journey = 5 hours 20 minutes or 5.33 hours

Average Speed = 2,033/5.33

= 381.43 miles per hour

Thus, the plane's average speed during the flight is 381.43 miles per hour.

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Find the next two terms in each sequence. Write a formula for the n th term. Identify each formula as explicit or recursive. 49,64,81,100,121, ......

Answers

Answer:

The next two terms is 144 and 169

Find the measure of the missing angle

Answers

Answer: 55 degrees

Step-by-step explanation:

a+90+35=180 ==> a straight line measures 180 degrees and the angles a, a right angle, and 35 lie on that line. A 180 degree angle is called a straight angle. Also, if there is a tiny box in between an angle, that means that the angle is a right angle.

a+125=180

a+125-125=180-125

a=180-125

a=55 degrees

60 degrees if im not wrong if not then 55 if im off

Given f(x)= 4 x 2 + 3, find the value of f(−1)

Answers

[tex]f(x) = 4x^2+3\\f(-1)=4(-1)^2+3\\f(-1)=\boxed{7}[/tex]

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I really don't understand this please help meh thanks :)

Answers

Complementary angles are 90 degrees, so 90 minus 58 equals 32. Thus, it’s 32.0.

Hope this helps.

2. Find the midpoint of AB
given A(-3, 8) and B(-7, -6).

Answers

Answer:

the midpoint is (-5,1)

Step-by-step explanation:

Simplify these ratios: a 24:36 b 12:2
c 16:4 d 18:3​

Answers

Answer: 2:3, 6:1, 4:1, 6:1

Step-by-step explanation:

The first step is by finding the GCF. For 24:36 the GCF is 12. Once you divide you get 2:3. For 12:2 the GFC is 2. For 16:4 it is 4 and you get 4:1 and finally 18:3 the GCF is 3 and you get 6:1.

For f(x)=-4 x+1 , what is the output for the given input?
b. 0

Answers

f (0) = 1 is the output for the given input .

What is  linear function ?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane. This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).

f(x)= -4 x+1

Put x = 0    ⇒   - 4 × 0 + 1

                  ⇒   0 + 1

                  ⇒   1

Therefore f (0) = 1

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331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Create equation here.

Answers

The required equation is 6x+7=331 and the no. of students traveling on each bus is 54.

What is an equation?

A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. One or more variables are used in the most basic and simple algebraic equations in mathematics.

Given data:

Total no. of students: 331

Number of students on bus = 7

No. of buses = 6

Let the no. of the students on each bus be x.

So according to the given condition,
6x+7=331

6x=331-7

6x=324

x=324/6

x=54

Therefore, the required equation is 6x+7=331 and the no. of students travelling on each bus is 54.

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The equation for the change of position of a train starting at x = 0 m is given by . the dimensions of b are what?

Answers

It involves determining the fundamental quantities and units of measurement and tracking these dimensions while computations or comparisons are made.

What is meant by Dimensional Analysis?Dimensional analysis is the study of the relationships between various physical quantities in engineering and science. It involves determining the fundamental quantities and units of measurement and tracking these dimensions while computations or comparisons are made.

Dimensional Analysis is a problem-solving technique that makes use of the fact that any number or statement may be multiplied by one without changing its value. It is also known as the Factor-Label Method or the Unit Factor Method.

Now, in that equation above, b represents the velocity of the motion. Now, the formula for velocity is;

Velocity = Distance/Time

Now, distance is also named Length and represented by L in basic parameters units while Time is represented by T.

Thus, the dimensions of b are; L/T or expressed as LT⁻¹.

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Suppose the flight leaves 30 minutes early. What function represents this transformation?

Answers

The function that represents the Transformation of the graph is  F(X+1/2).

Different non-vertical lines have different slopes and/or y-intercepts. They are graphs of various linear functions. If there are two such lines, one can be considered a transformation of the other. There is a group of functions called the family, each function being a transformation of a special function called a parent. Linear functions form a series of functions. All linear functions are transformations of the function y = x. The function y = x is an upper linear function. Each family role is a transformation of a parent's role. The conversion type is translation. A translation moves the graph of the parent function horizontally, vertically, or both without changing shape or orientation. So, the function that represents this transformation is F(X+1/2).

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The sum of k and 8 __ k + 8 ___

Answers

The algebraic expression of the mathematical statement is given as "The sum of k and 8" is k + 8

How to represent the mathematical statement as an algebraic expression?

The mathematical statement is given as:

The sum of k and 8

In algebraic expression, "Sum" means +

This means that, the interpretation of the question is that we add k and 8

So, we have the following algebraic representation:

The sum of k and 8 ⇒ k + 8

Remove the mathematical statement in the above algebraic representation

i.e. k + 8

Hence, the algebraic expression of the mathematical statement is given as "The sum of k and 8" is k + 8

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In+terms+of+resale+value,+is+remodeling+a+kitchen+worth+the+cost?+at+the+5%+significance+level,+what+can+you+conclude?

Answers

The resale value is not significantly higher than the cost of remodeling a kitchen based on the computed p-value of 0.42 and 0.21.

What is the null hypothesis?Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.For instance, any discrepancy between the average profits in the data and zero is caused by chance if the expected earnings for the gambling game are actually equal to zero.An assertion that there is no correlation between two population measures is referred to as a null hypothesis.To prepare the ground for additional experimentation or study that explains the position of interest, researchers reject or refute the null hypothesis.

Both the p-values of 0.42 and 0.21 are greater than the level of significance of 0.05. Hence, we fail to reject the null hypothesis. So, the resale value is not significantly higher than the cost of remodeling a kitchen based on the computed p-value of 0.42 and 0.21.

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x-y=4 et xy=21 calculer x^3-y^3

Answers

Answer:

316 or -316.

Step-by-step explanation:

x^3 - y^3 = (x - y)(x^2 + xy + y^2)

               = 4(x^2 + y^2 + 21)

x - y = 4

xy = 21

Substitute x = 4 + y in the last equation

(4 + y) y = 21

y^2 + 4y - 21 = 0

(y + 7)(y - 3) = 0

y = 3, -7.

So, x = 7, - 3.

So,  x and y are 7 and 3 or -7 and -3.

But x^2 + y^2 = 9 + 49 = 58 whichever is true,

So, x^3 - y^3

= 4(x^2 + y^2 + 21)

= 4 (58 + 21)

= 316,

If x = -3 and y = -7 , then the answer is

-316.

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