Find the sum of all multiple 3 between 5 and 64

Answer:

x = - 12

Step-by-step explanation:

- [tex]\frac{5}{6}[/tex] x - (x - 1) = [tex]\frac{1}{4}[/tex] (- x + 80) distribute parenthesis on left side by - 1

- [tex]\frac{5}{6}[/tex] x - x + 1 = [tex]\frac{1}{4}[/tex] (- x + 80)

multiply through by 12 ( the LCM of 4 and 6 ) to clear the fractions

- 10x - 12x + 12 = 3(- x + 80) ← distribute parenthesis by 3

- 22x + 12 = - 3x + 240 ( add 3x to both sides )

- 19x + 12 = 240 ( subtract 12 from both sides )

- 19x = 228 ( divide both sides by - 19 )

x = - 12

Answer:    The price per foot will be 2.74$

Step-by-step explanation:

what is the relation between yard and foot?

The value of one yard is  equal to3 feet.

That is given by ,

1 yard =3 feet.

we have 2 yards piece of aluminium wire

Firstly,we have to find the cost of 2 pieces of aluminium wire.

2×3=6

The cost is 16.44

16.44/6=2.74.

Therefore the price per foot will be $2.74.

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Answer:2.74

Answer:

Okie Dokie

Step-by-step explanation:

short to long

3.05 < 3.09 < 3.5 < 3.75 < 3.9

The shortest distance is  3.05 miles, while the Longest is  3.9 miles.

Ordering numbers according to their measure allows us to arrange them in increasing or decreasing order, providing a systematic way to compare and analyze their magnitudes.

Arranging the given distances from shortest to longest  -

3.05 miles

3.09 miles

3.5 miles

3.75 miles

3.9 miles

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Length of the other leg is  13.23 inches.

Pythagoras theorem states that the square of the length of hypotenuse is equal to sum of the squares of other two legs.Hence if L is the length of the other leg in inches, then20^2=5^2+l^2

or

400=225+L^2

or

L^2=400−225=175

Hence L=√175=13.23

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Answer: The equation is true

Step-by-step explanation:

Since x=3 and y= 5

Substitute the values for x and y

y=2x-1

5=2(3)-1

5=6-1

5=5

⇒The equation is true

Answer:

• [tex](f+g) (x)[/tex]  = [tex]9x + \sqrt{x} -2[/tex]

• [tex](f-g)(x)[/tex] = [tex]5x - \sqrt x - 2[/tex]

Step-by-step explanation:

[tex]f(x) = 7x - 2[/tex]

[tex]g(x) = \sqrt{x} + 2x[/tex]

To calculate [tex](f+g) (x)[/tex] and [tex](f-g)(x)[/tex], we have to add and subtract [tex]f(x)[/tex] and [tex]g(x)[/tex] respectively:

• [tex](f+g) (x)[/tex]

⇒ [tex]f(x) + g(x)[/tex]

⇒ [tex]7x - 2 \: + \sqrt{x} + 2x[/tex]

⇒ [tex]9x + \sqrt{x} -2[/tex]

• [tex](f-g)(x)[/tex]

⇒ [tex]7x - 2 - (\sqrt x + 2x)[/tex]

⇒ [tex]7x - 2 - \sqrt x - 2x[/tex]

⇒ [tex]5x - \sqrt x - 2[/tex]

The process of measuring, analyzing, enhancing, and then controlling processes once they have been brought within the narrow Six Sigma quality tolerances or standards is referred to as the

Six Sigma process

The phrase "Six Sigma" refers to a collection of quality-control methods that organisations can utilise to get rid of flaws and enhance operations so as to increase productivity and revenues. A scientist created it in the 1980s while he was employed by Motorola.

A statistical and data-driven technique called Six Sigma examines small errors or flaws. It places a focus on cycle-time gains while lowering manufacturing faults to no more than 3.4 incidents per million units or events. The fact that only 3.4 out of a million events along a bell curve will deviate by more than six standard deviations indicates that an error usually occurs with an event that deviates by six standard deviations from the mean.

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It is appropriate to use a sample at

Options A, C, and D

This is further explained below.

Generally, Placement with respect to one's immediate environment; is the manner in which something is arranged. the whole physical, social, and psychocultural influences that operate upon a person to direct and control his or her conduct is referred to as an individual's environmental context.

In conclusion, It is OK to utilize a sample while answering the following question: What proportion of people who drive pick-up trucks want their next vehicle purchase to be another pick-up truck?

How many people do you think would utilize a walkway that was constructed over a major road? Alternatives A, C, and D

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Answer:

Step-by-step explanation:

Let the number of rooms is x.

Each room is built to hold 6 puppies, so x rooms hold 6x puppies.

The equation for this is:

And the solution is 13 rooms.

Answer:

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign

Step-by-step explanation:

The mean of the integers in the set of numbers is 1

Mean can be described as the average of a set of numbers

The integers are given as 11, -7,  -14, 10 , 5

The mean can be calculated as follows

11 + (-7) + (-14) + 10 + 5/5

= 5/5

= 1

Hence the mean of the integers is 1

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Answer:

12

Step-by-step explanation:

√144 = 12

Rani will use 3/2 cups of white rice for 3 cups of milk.

"It is a method in which we obtain the value of a single unit by subtracting the value of multiple units and thus the value of multiple units by subtracting the value of a single unit."

Now, for the given question;

1 cup of white rice is required for every 2 cups of milk by Rani.

Thus,

2 cups of milk ------> 1 cup of white rice.

So, using unitary method. Divide both side by 2.

1 cups of milk ------> 1/2 cup of white rice.

Now, calculate for the 3 cups of milk.

multiplying both side by 3.

3 cups of milk ------> 3/2 cup of white rice.

Therefore, the 3/2 cups of white rice required for the 3 cups of milk.

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Answer:

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2 = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + bi, a is called the real part and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols {\displaystyle \mathbb {C} }\mathbb {C} or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers and are fundamental in many aspects of the scientific description of the natural world.[1][a]

Step-by-step explanation:

Answer:

iakajakakam kwokwmajsj kakajnsnsj wjjsjajsj sjsjjsjs

Step-by-step explanation:

The volume of the solid generated by revolving the region R bounded by

y = [tex]e^{-2x}[/tex], y = 0, x = 0, x = ln 9 around x-axis = 0.25 cubic units

Given the region R bounded by y = [tex]e^{-2x}[/tex], y = 0, x = 0, x = ln 9.

We will find the volume of the solid obtained by revolving this region around the x-axis through disc integration method.

The disc integration method is used to find the volume of a solid obtained by revolving a region around an axis parallel to x-axis.

Then, volume, V = [tex]\int\limits^0_{ln9} {y^2} \, dx[/tex]

                            = [tex]\int\limits^0_{ln9} {(e^{-2x})^2} \, dx[/tex]

                            = [tex]\int\limits^0_{ln9} {e^{-4x}} \, dx[/tex]

                            = [tex]\frac{e^{-4x}}{-4} |_{x=0\ to \ x=ln9}[/tex]

                            = [tex]\frac{e^{-4 ln9}}{-4} +\frac{1}{4}[/tex]

                            = [tex]\frac{9^{-4}+1}{4}[/tex] ≈ 0.25 cubic units

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Answer: 71 dogs ==> 1st option

Step-by-step explanation:

c=cats. d=dogs.

2d-3=c

d+c=210

d+2d-3=210

3d-3=210

3d=213

d=71 dogs ==> 1st option

The final altitude of the hiker 395 feet.

From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.

This will be:

= -1345 + 950

= 395

Therefore, the final altitude of the hiker 395 feet.

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The water level after the rainfall in the Colorado River is 3.35 meters.

The water level after the rainfall can be determined using the mathematical operation of addition.

A mathematical operation changes the output value of some input values.

For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.

The average water level in the Colorado River = 2.55 m

Increase in water level following the large rainfall = 0.8 m

New water level after the rainfall = 3.35 M (2.55 + 0.8)

Thus, the water level after the rainfall in the Colorado River is 3.35 meters.

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Ralph would most likely get more items correct than his Grandmother.

If both Ralph and his Grandmother took the Intelligence Quotient i.e., IQ test, then Ralph would most likely get more items correct than his Grandmother. This is due to Flynn Effect.

Flynn Effect refers to secular increase in population intelligence quotient observed throughout the 20th century. It demonstrates that the average of the IQ scores will change as varying generations have different thresholds for what intelligence is necessary.

Flynn Effect is documented by Flynn in a study on intelligence quotient. As Ralph's grandmother was born on 1925 and Ralph was born in 1990, so they have a generation gap of almost six decades. That is why Ralph will have a higher IQ than his grandmother.

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Answer:

5.6

Step-by-step explanation:

.30*12+x=.40(12+x)

3.6+x=4.8+.40x

x-.40x=4.8-3.6

.6x=1.2

x=1.2/.6

x=2 gallons of acid needs to be added.

Proof:

.30*12+2=.4(12+2)

3.6+2=.4*14

5.6=5.6

The number of hours Becky took to finish typing the essay is 3 hours.

A division is a process of splitting a specific amount into equal parts.

We have,

Number of words in the essay = 4,100

Becky can type 20 words per minute.

Becky has already typed 500 words.

So the remaining words are:

= 4,100 - 500

= 3,600

Now,

The number of hours to complete 3,600 words:

= 3,600 minutes / 20

= 180 minutes

We know that,

1 hour = 60 minutes

3 hours = 180 minutes

= 3 hours

Thus the number of hours Becky took to finish typing the essay is 3 hours.

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Answer:

Step-by-step explanation:

2+-x15 = -3

15.2 2 /15 -x =3

30 -x /15 = -3 x= 75

Answer:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 424 on the right side like this:

   8 ⟌ 4 2 4

Step 2:

The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   8 ⟌ 4 2 4

Step 3:

Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.

       0    

   8 ⟌ 4 2 4

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   8 ⟌ 4 2 4

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 6:

The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

       4 0  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2  

Step 9:

Move down the last digit of the dividend (4) like this:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 10:

The divisor (8) goes into the bottom number (24), 3 time(s). Therefore put 3 on top:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 11:

Multiply the divisor by the result in the previous step (8 x 3 = 24) and write the answer at the bottom:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (24 - 24 = 0) and write the answer at the bottom.

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

     -   2 4

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 424 divided by 8 calculated using Long Division is:

53

0 Remainder

Step-by-step explanation:

True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.

A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.

Some key features regarding the consistent are-

Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.

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Answer: 2 1/2 hours

Step-by-step explanation: 45/18 = 2 1/2

Step-by-step explanation:

If you multiply two real numbers, you will get another real number. There is no possibility of ever getting anything other than another real number.

Among the subsets of the real number system, the set of irrational numbers is not closed under multiplication.

We have,

Real Numbers: The set of real numbers is closed under multiplication. When you multiply two real numbers, the result is always a real number. For example, multiplying any two real numbers, such as 3.14 and 2.5, gives 7.85, which is also a real number.

Whole Numbers: The set of whole numbers is closed under multiplication.

When you multiply two whole numbers, the result is always another whole number. For example, multiplying 3 and 5 gives 15, which is also a whole number.

Integers: The set of integers is closed under multiplication.

When you multiply two integers, the result is always another integer.

For example, multiplying -4 and 7 gives -28, which is also an integer.

Rational Numbers: The set of rational numbers is closed under multiplication.

When you multiply two rational numbers, the result is always another rational number.

A rational number can be expressed as a fraction p/q, where p and q are integers and q is not zero.

When you multiply two fractions, the numerator and denominator are both integers and as long as the denominator is not zero, the result will still be a rational number.

However, the set of irrational numbers is not closed under multiplication.

An irrational number is a number that cannot be expressed as a fraction of two integers.

When you multiply two irrational numbers, the result may or may not be irrational.

Example:

√2 (square root of 2) is an irrational number, and √2 * √2 = 2, which is a rational number (integer 2).

So, the product of two irrational numbers (√2 * √2) is a rational number, not an irrational number.

Thus,

All subsets of the real number system (real numbers, whole numbers, integers, and rational numbers) are closed under multiplication, except for the subset of irrational numbers, which is not closed under multiplication.

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