What value of m makes this equation true? m/4−3=9

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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The value of x is 3. The order in which you perform operations in arithmetic and algebra is governed by a number of laws.

Given,

[tex]$9^{-1 / 2}=27^{1 / 4} \div 3^{x+1}$[/tex]

[tex]${\left[3^2\right]^{-1 / 2}=\left[(3)^4\right]^{1 / 4} \div 3^{x+1} }$[/tex]

[tex]$3^{-1}=3 \div 3^{x+1}$[/tex]

[tex]$3^{-1}=\frac{3}{3^{x+1}}$[/tex]

[tex]$3^{-1}=3^{1-x+1}$[/tex]

[tex]$3^{-1}=3^{2-x}$[/tex]

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

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Given that

Hence,

Similarly,

Therefore,

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

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to create an equation for x, and to solve it.}[/tex]

[tex]\textsf{There's an infinite amount of equations that we can create, but let's keep it simple.}[/tex]

[tex]\large\underline{\textsf{Example:}}[/tex]

[tex]\mathtt{9x+5x= 70}[/tex]

[tex]\textsf{Let's begin solving for x since we've just created an equation.}[/tex]

[tex]\large\underline{\textsf{Solving:}}[/tex]

[tex]\textsf{This equation involves combining like terms.}[/tex]

[tex]\Large\underline{\textsf{What are Like Terms?}}[/tex]

[tex]\textsf{Like terms are 2 or more terms that have similar \underline{whole numbers, variables, and/or exponents}.}[/tex]

[tex]\textsf{For this specific equation, 9x and 5x are like terms.}[/tex]

[tex]\large\underline{\textsf{Combine Like Terms:}}[/tex]

[tex]\mathtt{9x+5x= 70}[/tex]

[tex]\mathtt{14x= 70}[/tex]

[tex]\large\underline{\textsf{Divide by 5 to find x:}}[/tex]

[tex]\mathtt{\frac{14x}{14}=\frac{70}{14} }[/tex]

[tex]\large\boxed{\mathtt{x=5}}[/tex]

The length of the given building is equal to 186ft

To calculate the length of the building whose shadow is 248ft, we can simply find the ratio of the height of Tim to his shadow and compare it with the building.

The ratio of the height to the shadow is 6:8

Or we can simply set it out as an equation, cross multiply and solve.

[tex]height = shadow length[/tex]

Let's use this system to solve

[tex]height = shadow length\\6ft = 8ft\\x = 248\\[/tex]

We can cross multiply here and solve for x

[tex]x = \frac{6 * 248}{8}\\x = 186ft[/tex]

The height of the building is 186ft

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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

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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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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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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Probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief has a Z score -1.79

P = 62.4%

The sample proportion p = 58.1% of 400 = 232.4

This implies that 232  person of 400 headache sufferes obtain relief with just two asprins

n = 400

np = 400 x 62.4% = 249.6

n(1 - p) = 400 x (1 - 62.4%) = 150.4

The sample proportion p is assumed to follow a normal distribution.

The mean of the sample proportion μ' = p = 0.624

The standard error of the sample proportion

σ'  [tex]\sqrt{\frac{p(1 - p)}{n} }\\ \sqrt{\frac{0.624(1 - 0.624)}{400} }\\\\= 0.0240\\[/tex]

Standardize 0.581 to a Z score

P(p'< 0.581) = P(Z>(0.581-0.624)/0.024) = -1.791

Probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief has a Z score -1.79

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Answer:

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

Answer:

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

Step-by-step explanation:

(attached)

The approximate weight of all the ants in the worlds in scientific notation is  3×10¹⁰ kg .

Values that are either too large or too little to be conveniently stated in decimal form can be indicated using scientific notation (typically would result in a long string of digits).

Weight of 1 ant = 3×10⁻⁶ kg

number of ants =  1×10¹⁶

Total weight = 3×10⁻⁶ × 1×10¹⁶ =  3×10¹⁰ kg

Therefore the weight of all the ants in the world is approximately

3×10¹⁰ kg

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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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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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It is to be noted that the graph comprises two inherent traits:
The domain and the range. Each of these qualities helps the user interpret and analyze data.

The domain of a graph consists of all the input values represented on the x-axis since the domain refers to the set of potential input values. The range represents the set of potential output values, which are shown on the y-axis.

In mathematics, domain and range are significant because they allow us to determine the set of all possible values for a function. Understanding a function's domain and range allows us to identify its inverse, graph it, and solve issues involving the function.

To acquire the domain and range, just solve the equation y = f(x) to discover the values of the independent variable x. To compute the function's range, just define x as x=g(y) and then discover the domain of g. (y).

It is to be noted that the question contains very limited information hence the general answer.

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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 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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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

Part a: Inverse of the function- g⁻¹(x) =  3 - 7x.

Part b: Composite function, (g⁻¹o g)(3) = -18.

Part c: The value of h⁻¹(9) = 0.

Part a: Inverse of the function- g⁻¹(x).

For the given question.

The one-to-one function is given as;

g(x) = (-x + 3)/7

As, it is one-to-one function, its inverse is possible.

Let y = g(x) = (-x + 3)/7

Write function in terms of y.

7y = -x + 3

x = 3 - 7y

Now, replace y with x in the function.

g⁻¹(x) = 3 - 7x

Part b: Composite function, (g⁻¹o g)(3)

First find the composite value of g(3).

g(x) = (-x + 3)/7

Put x = 3

g(3) = (-3 + 3)/7 = 0

Now, put the value of g(3) in g⁻¹(x).

(g⁻¹o g)(3) =  3 - 7x

(g⁻¹o g)(3) =  3 - 7×3

(g⁻¹o g)(3) = -18

Part c: The value of h⁻¹(9).

Check the domain and ranges given for the 'h' function.

h⁻¹(9) has the domain of 0

Thus, h⁻¹(9) = 0.

Thus, the values for the one-to-one function are found.

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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:

16

Step-by-step explanation:

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:

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

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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Answer:

0.96

Step-by-step explananation

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

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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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

Answer: 405810

Step-by-step explanation:

Math

Answer:

608,715

Step-by-step explanation:

I used a calculator