Find the least common multiple of 3x and 3(x−2)

Answer:

In order to convert a fraction to a decimal, you must divide the top number of the fraction (numerator) by the bottom number of the fraction (denominator).

And you get 0.85 (or .85)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/20=0.05

17*0.05=0.85

Answer:

Your answer is [tex]4\sqrt{2x} \sqrt{x} +6\sqrt{2x}[/tex]

Step-by-step explanation:

(attached)

19.02 percent of the people do not like both hamburgers and burritos.

What is a percent?

The Latin name per centum, literally means "hundredth" or "by the 100," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent." The ratio's numerical value is multiplied by 100 to obtain the percent value. Sequentially applied percentage adjustments do not add up in the typical sense. The steepness of a road's or railroad's slope is expressed as "percent," depending on the context. Additionally, percentage is employed to represent a mixture's composition in terms of mass and mole percent.

No. of people who do not like both hamburgers and burritos = 77 - 38 = 39

Total number of people = 205

Percentage of people who do not like both hamburgers and burritos

= 39/205 x 100 percent

= 19.02 percent

Hence, 19.02 percent of the people do not like both hamburgers and burritos.

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total possible outcomes: 6

number of outcomes with a 2 or a 3: 2

probability of rolling a 2 or a 3: 2/6 = 1/3

By using midpoint theorem of triangles we can get the value of x as 6 and the length of SR is also 6 units.

A line segment constructed by joining the midpoints of two triangle sides will be parallel to the third side and have a length that is half that of the third side, according to the midpoint theorem, also known as the midline theorem.

Therefore from the above property we can write

IK=2SR

or, 3x-6 = 2(2x-6)

or, 3x-6 = 4x - 12

or, -x = -6

or, x = 6

Therefore the length of SR is 6 units and the length of x is also 6 units.

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Answer:

A one-dimensional object is a line which has only one dimension or measurement, which is its length. Or to put it differently, a one-dimensional object can only be measured in one direction. A flat shape with two dimensions or measurements—length and width—and no thickness is two-dimensional. A two-dimensional object can be measured in two different directions. Squares and rectangles are examples of two-dimensional shapes. However, three-dimensional objects, also known as solids, have three dimensions or measurements: length, width, and height. Therefore, they can be measured in three different directions. Examples include cylinders, cubes, and pyramids.

Explanation:

Dimensional: Having measurements in one or more directions, often meaning length, width, and height.

One-dimensional - Length

Two-dimensional - Length and Width

Three-dimensional - Length, width, and height

Answer:

See below.

Step-by-step explanation:

a. 2(h + 1) = 6

2(h + 1) = 6

2h + 2 = 6

2h = 4

h = 2

Check:  Does 2(h + 1) = 6 when h = 2?  

2(2 + 1) = 6?

2(3) = 6?

6 = 6  YES

b. 9(j + 5) = 8j – 5

9(j + 5) = 8j – 5

9j + 45 = 8j - 5

j = -50

Check:  Does 9(j + 5) = 8j – 5 when j = -50?

9(j + 5) = 8j – 5

9(-50 + 5) = 8(-50) – 5  ?

9(-50 + 5) = 8(-50) – 5  ?

-450 + 45 = -400 - 5 ?

-405 = -405  YES

c. 2(k – 3) = 4(k – 6)

2(k – 3) = 4(k – 6)

2k – 6 = 4k – 24

-2k = - 18

k = 9

Check:  Does 2(k – 3) = 4(k – 6) when k = 9?

2(9 – 3) = 4(9 – 6) ?

18 – 6 = 36 –24    ?

12 = 12  YES

Answer:

14 glasses

Step-by-step explanation:

Total volume of the mix = 64 + 48 = 112 ounces

Each glass can hold 8 ounces

Number of glasses needed = 112/8 = 14

Answer:

14 glasses

Step-by-step explanation:

64 + 48 = 112

112 ÷ 8 = 14

14 glasses of juice mixture

The most appropriate choice for parallelogram will be given by

VUTS is a parallelogram has been proved

What is a parallelogram?

Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.

There are different properties of parallelogram-

Opposite sides of a parallelogram are equal

Opposite angles of a parallelogram are equal

Diagonals of a parallelogram bisect each other

Here,

There is a well known theorem on parallelogram.

If a pair of opposite sides in any quadrilateral is equal and parallel, then the quadrilateral is a parallelogram.

This theorem will be applied here.

Here,

SV ║ TU

[tex]\Delta SVX \cong \Delta UTX[/tex]

So SV = TU [Corrosponding parts of congruent triangles are congruent]

So a pair of opposite sides of VUTS are equal and parallel

So, VUTS is a parallelogram

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The division for 514 / 28 is 18 remainder 10.

Long Division is a method for dividing large numbers, that breaks the division problem into multiple steps

Step 1: Here, the digits to first use is 51. This means 51 divided by 28 will give 1.

Step 2: Subtract 28 from 51 and this is 23. Bring the third digit of the dividend down and place it beside 23. This will be 234.

Step 3: Now, 234 divided by 28 will be 18.

Step 4: Multiply 18 by 28 and subtract the value. The remainder will be 10.

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Dan types better than Dora. His speed is 20 words per minutes.

Words per minute, or wpm, is an indicator of how many words are processed in a minute and is frequently used to gauge how quickly people type, read, or send and receive Morse code.

Speed of Dan =

100 / 5

= 20 words per minute.

Speed of Dora =

118/6

= 17 words per minute.

Speed of Dan is faster than Dora as he types 20 words per minute and Dora types 17 words per minute.

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Answer:-6

Step-by-step explanation:10+8-12-10+8=18-12=6=-6

im not sure what kind of math ur doing? but i tried:|

Answer:

x = 2, x = 5, c = 3, c = 7, t = 4, t = -4

Step-by-step explanation:

x^2 - 7x + 10 = (x-2)(x-5) = 0

c^2 - 10c + 21 = (c-3)(c-7) = 0

t^2 - 16 = (t-4)(t+4) = 0

Answer:

5

Step-by-step explanation:

Plug in the number for it's letters in the equation

-1 - (-2 · 3)

-1 - (-6)

-1 + 6

5

The amount of money that Stefan made from selling the bicycle and helmet to Jin is $73.20.

The first step is to determine the total cost of the items bought by Jin.Total cost = cost of the bicycle + cost of helmet$165 + $18 = $183

The equation that represents the total cost of the items bought by Jin in relation to the cost of the items bought by Stefan is:

The total cost of the items bought by Jin = (1 + percentage increase) x cost of the items bought by Stefan

$183 = (1 + 1.50) x p

$183 = 2.50p

p = $183 / 2.5

p = $73.20

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If the perimeter is 183 feet then the dimensions are 39ft, 78ft, 66ft

What is a perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

The perimeter of a triangle

P = a + b + c.

Here,

We let the length of the shortest side of the triangular flower bed be

x feet.

Then the length of the second side is 2x and

the length of the third side is x+27

The given perimeter is 183ft so,

By applying the perimeter of the triangle formula, we get

x + 2x + x +27 = 187

4x + 27 = 187

4x = 183 - 27

x = 39

the length of the second side is 2*39 = 78ft and

the length of the third side is x+27 = 66ft

Hence, if the perimeter is 183 feet then the dimensions are 39ft, 78ft, and 66ft.

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Answer: 405810

Step-by-step explanation:

Math

Answer:

608,715

Step-by-step explanation:

I used a calculator

The required function for the given condition is f(x) = 2x²- 7.

Given that,
To determine the parent function of f(14) = 2(14)2−7.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let the function be f(x),
According to the question,
f(14) = 2(14)²−7
Put 14 = x
f(x) = 2x²-7

Thus, the required function for the given condition is f(x) = 2x²- 7.

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Given that

Hence,

Similarly,

Therefore,

ANSWER and EXPLANATION

(A) f(x) - 3

=> y-intercept

The y-intercept of f(x) is f(0). This implies that the y-intercept of f(x) - 3 is f(0) - 3.

In other words, the y-intercept is 3 units less than the y-intercept of the original function, since the function is translated 3 units downward.

=> Regions where the graph is increasing and decreasing

The region where the function f(x) increases and decreases do not change since the function is only translated and there is no change in the size of the figure.

=> End behavior

The end behavior of the graph doe not change as well because there is no change in the form or size of the graph, it is only translated

(B) -2 * f(x)

=> y-intercept

The y-intercept of

Answer:

Approximately 626,000 square miles (1,000,000 km²) in size

Answer:

0.96

Step-by-step explananation

stack the two numbers ontop of each other and it will be easier to do the multiplacation

To remove a common factor and transform a polynomial into the union of two polynomials:According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.

what is common factor and distributive property?

To remove a common factor and transform a polynomial into the union of two polynomials: Discover the most prevalent factor that is a whole number (no variables). Put the product of dividing all polynomial terms by that factor in parenthesis. The factor should be written without parentheses.

According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.

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The length of the line BE is 14.4 cm.

When two parallel lines are intersected by another line, corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal.

In ΔACD

BE is parallel to CD.

Now, consider ΔACD and ΔABE

Line BE is parallel to CD.

The corresponding angles are,

∠ACD =∠ABE

∠ADC = ∠AEB

And, the common angle is:

∠A = ∠A

Therefore, ΔACD ∼ ΔABE

Hence, the corresponding sides are in proportion.

Now,

AB/AC = BE/CD

BE = CD( AB/AC )

From the diagram,

CD = 18 cm, AB = 20 cm, and AC = AB + BC = 25 cm

BE = 18( 20/25 )

BE = 14.4 cm

Hence, in triangle ABE the length of the line segment BE is 14.4 cm.

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The money saved by Sam by having insurance premiums withheld before taxes are calculated is $314.23.

Given that, Sam is an agricultural inspector who earns $3,528 per month.

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

Let the tax money be x.

x = 3,528 - (258+56.23)

x = 3,528 - 314.23

x = 3213.77

Therefore, the money saved by Sam by having insurance premiums withheld before taxes are calculated is $314.23.

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we can calculate the center and radious using this form of the equation of the circle

Where D is -2, E is 16 and F is 61

Center is

where a is

and b is

Radious

radious is 2 units

The new length is 35+10=45 and the new width is 18+10=28.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.

Area of rectangle is length times of breadth.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x²=1260

x²+53x+630-1260=0

x²+53x-630

Now use the quadratic formula we get

x = 10.

The new length is 35+10 = 45

The new width is 18+10 = 28.

Hence the new length is 35+10 = 45 and the new width is 18+10=28.

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The result of multiplying 18 by 23 is 0.782608696. however, you would write 0.78 if you rounded your response to the nearest hundredth.

First things first, let's review the numerator and denominator of a fraction in case you don't know what they are:

18 (fraction)/23 (denominator)

The denominator, or a number of components, is represented by the numerator.

You can use the following trick to quickly change any fraction to a decimal: Subtract the numerator from the denominator as follows:

= 18/23

= 18 ÷ 23

= 0.78260869565217

You only need to divide 18 by 23. Since the hundredth is to the second decimal place, it is equal to 0.78260869565, which is 0.78 when rounded to the closest hundredth.

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The total cost of the product is $22.3 with the given discount and tax values

Tax: Tax is an amount of money that you have to pay to the government so that it can pay for public services such as roads and schools. The government created a new tax on the retail sale of certain goods and services. A retail sales tax is levied on the purchase of a commodity

Given the cost of gloves is $29.25

                         Discount, d=30% =30/100= $0.3

                                   tax, t=6.25%=6.25/100=$0.0625

First of all remove Discount from the Cost of Gloves which gives

$29.25x$0.3 = $8.775

now subtract the discount from the price of the product= $29.25-$8.775

                                                                                            =$20.472

now lets calculate the tax on the product which is equal to

                                                                           =cost x tax

                                                                           = $29.25x$0.0625

                                                                           = $1.828

subtract this value from the original cost of the product

=$20.472+$1.828

=$22.3

the total cost of the product is $22.3

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For the given arithmetic sequence 313, 307, 301, ..., the 42nd term of the sequence is -391.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is given that,

The following sequence is,

313, 307, 301, ...

The given sequence is in the arithmetic progression the common difference of the series is,

d = 307 - 313 = 301 -307

d = -6

The nth term of the arithmetic progression is,

aₙ = a + (n – 1)d

a₄₂= - 307 + (42 -1)-6

a₄₂= -307 + 41(-6)

a₄₂= -307 +(-84)

a₄₂= -307 -84

a₄₂= -391

Thus, for the given arithmetic sequence 313, 307, 301, ..., the 42nd term of the sequence is -391.

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