A restaurant has 50
50
tables.
40%
40
%
of the tables have 2
2
chairs at each table.
The remaining 60%
60
%
of the tables have 4
4
chairs at each table.

Complete the model.
Then complete the statements to find the total number of chairs in the restaurant.

Answer:

D. g(x)=(3x)^2

Step-by-step explanation:

For function g(x), it displays the point (1,9) as part of the function. If (x,y), then we can plug those into the available answers. Plug 1 in for each x value in the function and whichever one equals 9 will be your answer. This is only true for g(x)=(3x)^2.

The equation of g(x) = (x/3)^2.

The graphs of the functions f(x) and g(x) are similiar and the difference between them is caused dilation.

g(x) = k*f(x)

It is given that f(x) = x^2

From the graph, we can see that g(3) = 1.

Therefore:

g(3) = k*f(3)

= k*3^2

= 1

k*3^2 = 1

⇒ k*9 = 1

⇒ k = 1/9

Now, substitute the value of k in the g(x)

g(x) = (1/9)*f(x)

⇒ g(x) = (1/9)*x^2

⇒ g(x) = (x/3)^2

Therefore, we have found the equation of g(x) = (x/3)^2. The correct answer is option C.

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it's literally a triangle what the heckle are you doing

Answer:

Option B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1 / (cos x - sin x) = cos x + sin x

Multiply:

1 = (cos x + sin x) (cos x - sin x)

Distribute:

1 = cos² x - sin² x

Use trig identity:

sin² x + cos² x = cos² x - sin² x

2 sin² x = 0

sin x = 0

x = πk

Answer C.

Answer:

variable= x

x ≤ 100

Step-by-step explanation:

it would be x ≤ 100 because it says it can hold as many AS 100, making it less than or equal to 100

Answer:

[tex]\large\boxed{\dfrac{5}{10}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{\dfrac{125}{1000}}\qquad\text{use}\ \sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}\\\\=\dfrac{\sqrt[3]{125}}{\sqrt[3]{1000}}=\dfrac{5}{10}\\\\\\\sqrt[3]{125}=5\ because\ 5^3=125\\\\\sqrt[3]{1000}=10\ because\ 10^3=1000[/tex]

Answer:

go back to hong kong

imma send you back to hong kong

Step-by-step explanation:

Answer:

[tex]\large\boxed{A:\ 4\sqrt5}[/tex]

Step-by-step explanation:

Look at the picture.

ΔABC and ΔADB are similar. The corresponding angles are in proportion:

[tex]\dfrac{AB}{AC}=\dfrac{AD}{AB}[/tex]

We have:

[tex]AB=x,\ AC=5+11=16,\ AD=5[/tex]

Substitute:

[tex]\dfrac{x}{16}=\dfrac{5}{x}[/tex]                 cross multiply

[tex]x^2=(16)(5)\to x=\sqrt{(16)(5)}[/tex]         use √ab = √a · √b

[tex]x=\sqrt{16}\cdot\sqrt5\\\\x=4\sqrt5[/tex]

Answer:

13532

Step-by-step explanation:

398 x 34 = 13532

Answer:

398 x 34 = 13532

Step-by-step explanation:

ANSWER

C)7cb^2

EXPLANATION

We want find the term among the given options that can be added to

[tex]8 {b}^{2} c[/tex]

That term must be similar to the given term.

It means that,it must be a

[tex] {b}^{2} c[/tex]

term.

From the alternatives provided, the only term, that is similar to the given term is

[tex]7c {b}^{2} [/tex]

Therefore, the correct answer is C

Answer:

C)  [tex]7cb^2[/tex]

Step-by-step explanation:

Given expression is [tex]8b^2c[/tex].

Now we need to find about which of the following terms can be added to the given expression  [tex]8b^2c[/tex].

A)   [tex]8b^2c^2[/tex]

B)  [tex]8bc[/tex]

C)  [tex]7cb^2[/tex]

D)  [tex]10c^2b[/tex]

We know that we are allowed to add only like terms. So

[tex]8b^2c[/tex] can be added with that term only which contains  [tex]b^2c[/tex].

Choice C)  [tex]7cb^2[/tex] contains [tex]b^2c[/tex].

Hence correct answer is C)  [tex]7cb^2[/tex].

Answer:

Greatest Common Factor of 36 and 60. Greatest common factor (GCF) of 36 and 60 is 12. We will now calculate the prime factors of 36 and 60, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 60.

Step-by-step explanation:

The greatest common factor of 36 and 60 can be found to be B. 12.

The greatest common factor (GCF), also known as the greatest common divisor (GCD), is the largest number that divides exactly into two or more numbers.

Let's find the GCF of 36 and 60.

36 = 2 x 2 x 3 x 3

60 = 2 x 2 x 3 x 5

The GCF is found by multiplying the common prime factors. In this case, the common prime factors are two 2s and one 3.

So, the GCF of 36 and 60 is:

= 2 x 2 x 3 = 12

In conclusion, option B is correct.

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Answer:

(g+f)(x)=(2^x+x-3)^(1/2)

Step-by-step explanation:

Given  

f(x)= 2^(x/2)

And

g(x)= √(x-3)

We have to find (g+f)(x)

In order to find (g+f)(x), both the functions are added and simplified.

So,

(g+f)(x)= √(x-3)+2^(x/2)  

The power x/2 can be written as a product of x*(1/2)

(g+f)(x)= √(x-3)+(2)^(1/2*x)

We also know that square root dissolves into power ½

(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)

We can see that power ½ is common in both functions so taking it out

(g+f)(x)=(x-3+2^x)^(1/2)

Arranging the terms

(g+f)(x)=(2^x+x-3)^(1/2)  ..

I honestly think that the answer is a

Option: a is the correct answer.

                (a)  1

              Now, it is given that:

Feynman, produces output, that is 5 times its input followed by an increase of 2.

i.e. the equation that will be formed using this information is:

                  [tex]f=5i+2------------(1)[/tex]

The output of Feynman feeds into Maxwell.

Let the output of Maxwell be denoted by m and it's input is f.

Maxwell, produces output, that is 5 times its input followed by a decrease of 2.

This means that the equation that will be formed using this information is:

             [tex]m=5f-2----------------(2)[/tex]

Now, we put the value of f from equation (1) into equation (2)

i.e.

[tex]m=5(5i+2)-2\\\\i.e.\\\\m=25i+10-2\\\\i.e.\\\\m=25i+8[/tex]

If the output of Maxwell is: 33

i.e.

[tex]m=33[/tex]

Then

[tex]33=25i+8\\\\i.e.\\\\25i=33-8\\\\i.e.\\\\25i=25\\\\i.e.\\\\i=\dfrac{25}{25}\\\\i.e.\\\\i=1[/tex]

Hence, the input of Feynman is: 1

Final answer:

The cost of 1kg of apples is £0.45, calculated using two equations derived from the given information about the cost of oranges and apples.

Explanation:

To work out the cost of 1kg of apples, we can set up two equations based on the information given: 4.5kg of oranges and 3kg of apples cost a total of £3.87, and 2.5kg of oranges cost £1.40. Let's assume the cost per kilogram of oranges is 'O' and the cost per kilogram of apples is 'A'. The equations would be:

4.5O + 3A = 3.87 ........(1)

2.5O = 1.40 ........(2)

From equation (2), we can calculate the cost of oranges per kilogram:

O = 1.40 / 2.5

O = £0.56 per kilogram

Now substitute the value of 'O' in equation (1) to find 'A':

4.5(0.56) + 3A = 3.87

2.52 + 3A = 3.87

3A = 3.87 - 2.52

3A = 1.35

A = 1.35 / 3

A = £0.45 per kilogram

Therefore, the cost of 1kg of apples is £0.45.

c is the correct answer

Answer:

Option A.) 88 inches

Step-by-step explanation:

step 1

Find the circumference of the wheel

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

we have

[tex]D=28\ in[/tex]

[tex]\pi =\frac{22}{7}[/tex]

substitute

[tex]C=(\frac{22}{7})(28)=88\ in[/tex]

The distance a bicycle moves forward each time the wheel goes around is equivalent to the circumference of the wheel, which can be calculated using the formula C=πd. For a wheel with a diameter of 28 inches, the circumference is 88 inches.

The distance a bicycle wheel travels in one full rotation (which is also the perimeter of the wheel) can be calculated using the formula for the circumference of a circle, which is C=πd where π is a mathematical constant (about 22/7 or 3.14) and d is the diameter of the circle.

The diameter of this bicycle tire is given as 28 inches. Therefore, substituting 28 inches for the diameter (d) in the formula gives us C=22/7*28, which simplifies to 88 inches. So the bicycle moves forward approximately 88 inches each time the wheel goes around. Therefore, "the correct answer is A.) 88 inches".

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Final answer:

An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is A1 = 5 and An = An-1 - 4.

Explanation:

An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is A1 = 5 and An = An-1 - 4. Let's find some terms in this sequence:

A1 = 5

A2 = A1 - 4 = 5 - 4 = 1

A3 = A2 - 4 = 1 - 4 = -3

A4 = A3 - 4 = -3 - 4 = -7

...

So the first few terms in this arithmetic sequence are 5, 1, -3, -7, ...

Final answer:

4 feet is equivalent to 1 1/3 yards or 48 inches, as there are 3 feet in a yard and 12 inches in a foot.

Explanation:

The student has asked what is equivalent to 4 feet. To answer this, we must understand that feet and yards are units of measurement commonly used to measure length or distance. In the United States customary system, 1 yard is equivalent to 3 feet. Therefore, to find the equivalent of any number of feet in terms of yards, one can divide the number of feet by 3. For 4 feet, this would be calculated as follows:

4 feet ÷ 3 feet/yard = 1 1/3 yards.

Alternatively, since 4 is just 1 more than 3, we can see that 4 feet is 1 yard plus 1 additional foot, which confirms our conversion of 1 1/3 yards. Other times, feet may be converted into inches, where 1 foot equals 12 inches. In this case, 4 feet x 12 inches/foot equals 48 inches.

Answer:

81,82 and 83

Step-by-step explanation:

X + X + 1 + X + 2 = 246

3X + 3 = 246

3X + 3 - 3 = 246 - 3

3X = 243

3X/3 = 243/3

X = 81

Which means that the first number is 81, the second number is 81 + 1 and the third number is 81 + 2. Therefore, three consecutive integers that add up to 246 are 81, 82, and 83.

81 + 82 + 83 = 246

Final answer:

To find the three consecutive integers, we can assume them as x, x+1, and x+2. By using the given sum and solving the equation, we find the values of the three integers to be 81, 82, and 83.

Explanation:

Let's assume the three consecutive integers as x, x+1, and x+2.

The sum of these three integers is given as 246, so we can write an equation:

x + (x+1) + (x+2) = 246

Combining like terms, we get:

3x + 3 = 246

Subtracting 3 from both sides:

3x = 243

Dividing both sides by 3:

x = 81

So the three consecutive integers are 81, 82, and 83.

Answer:

B. 650 Roast Beef, 490 Tuna, 900 Turkey

Step-by-step explanation:

As this chart displays the order that occured in one week, in order to find the estimate for the month is to multiply the values on the chart by how many weeks there are in a month.

As there are 4 weeks in a months, we can multiply each value by this ratio

Roast Beef: [tex]4*152=608[/tex]

Tuna: [tex]4*114=456[/tex]

Turkey: [tex]4*209=836[/tex]

As this is an estimate, we are looking for the option that is the closest to these estimated values.

Option B is the closest to these values.

Answer: D.

Step-by-step explanation: It increased, or went up, at the "p.m." point, though kept at a straight line in the "a.m."

Answer:

The correct option is d.

Step-by-step explanation:

The given graph shows the relation between price and time.

Here, x-axis represents the time and y-axis represents the price of one share of a company’s stock.

From the given graph it is clear that the price of one share of a company’s stock increasing as the time changes from a.m. to p.m.

It means the price increased more in afternoon than in the morning.

Therefore the correct option is d.

The range of the function [tex]y=5^x[/tex] is all real numbers greater than 0, represented as (0, ∞).

The range of the function defined as [tex]y=5^x[/tex] refers to the set of all possible output values the function can produce. We know that exponentiation with a positive base other than 1 results in positive numbers regardless of the exponent's value. The function [tex]y=5^x[/tex] can take any real number x and will output a positive value since raising 5 to any power results in a positive number. Therefore, the range of [tex]y=5^x[/tex]  is all real numbers greater than 0, which can be expressed mathematically as (0, ∞).

ANSWER

B.

[tex](f + g)(x) = {x}^{3} + x- 715[/tex]

EXPLANATION

The given functions are:

[tex]f(x) = \sqrt{ {x}^{2} + 28x + 196} [/tex]

This is the same as

[tex]f(x) = \sqrt{ {(x + 14)}^{2} } [/tex]

[tex]f(x) = x + 14[/tex]

and

[tex]g(x) = {x}^{3} - 729[/tex]

[tex](f + g)(x) = f(x) + g(x)[/tex]

[tex](f + g)(x) = x + 14 + {x}^{3} - 729[/tex]

[tex](f + g)(x) = {x}^{3} + x- 715[/tex]

The correct answer is B

Answer:

B.

Step-by-step explanation:

[tex]= f(x) + g(x)\\= \sqrt{x^{2} +28x+196} +x^{3} -729\\factor (x^{2} +28x+196) to ((x+14)^{2})\\= \sqrt{(x+14)^{2} } +x^{3} -729\\= x+14+x^{3} -729\\=x^{3} +x-715[/tex]

Answer:

Step-by-step explanation:

Type in "sqrt .... "   or   click on the "omega" icon below for a list of built-in math characters, including  "√"

For this case we must find the values of "a" and "b" that make the expressions equivalent:

We have:

[tex]\sqrt {\frac {126xy ^ 5} {32x ^ 3}} =[/tex]

We take common factor "2" from the numerator and denominator:

[tex]\sqrt {\frac {2 * (63xy ^ 5)} {2 * (16x ^ 3)}} =[/tex]

Eliminating common factors of numerator and denominator:

[tex]\sqrt {\frac {63y ^ 5} {16x ^ 2}} =[/tex]

So, we have that the values of a and b are:

[tex]a = 16\\b = 2[/tex]

Answer:

[tex]a = 16\\b = 2[/tex]

Note: To write square root on pc we use sqrt

Answer:

6 , 1 , 2

61, 62, 16, 12, 26 , 21 , 612 , 216 , 621 , 612 , 126 , 162 , 261 ,

Step-by-step explanation:

think thats it hope this helps

A picture of graph of g(x) = (1/5x)^2 .

Answer:

g(granola bar) = $2 and a(apple) = $1

Step-by-step explanation:

This problem can be modeling as an equation systems with two unknows.

We can writting the equation systems as follows:

For Addison [tex]2g+6a=10[/tex] where "g" is a granola bar price, "a" an apple price, and 10 is the sum of both product prices in dollars.

For George [tex]2g+3a=7[/tex] where "g" is a granola bar price, "a" an apple price, and 7 is the sum of both product prices in dollars.

Ordering both equations:

[tex]\left \{ {{2g+6a=10} \atop {2g+3a=7}} \right.[/tex]

We're going to use the reduction method to solve this system of equations.

The reduction method consists of adding (or subtracting) the system equations to eliminate one of the unknowns.

1.  Make sure that adding or subtracting the equations, some of the unknowns disappears.

We can see if we substracting both equations, the "g" unknown disappears.

[tex]\left \{ {{2g+6a=10} \atop {-(2g+3a)=-(7)}} \right.[/tex]

[tex]\left \{ {{2g+6a=10} \atop {-2g-3a=-7}} \right.[/tex]

Sustracting both equations, we obtain:

[tex]0g+3a=3[/tex]

[tex]3a=3[/tex]

[tex]a=\frac{3}{3} =1[/tex] which means that the value of an apple is $1.

2. We calculate the other unknown by substituting the value obtained from "a".

Substituting the value from "a" in the first equation:

[tex]2g+6(1)=10[/tex]

[tex]2g+6=10[/tex]

[tex]2g=10-6[/tex]

[tex]g=\frac{10-6}{2}[/tex]

[tex]g=\frac{4}{2}[/tex]

[tex]g=2[/tex] which means that the value of  a granola bar is $2.

3. Finally, we verify the result by substituting the values ​​obtained for "g" and "a" to see if it satisfy the equations.

For the first equation:

[tex]2g+6a=10[/tex] with g = 2 and a = 1

[tex]2(2)+6(1)=10[/tex]

[tex]4+6=10[/tex]

For the second equation:

[tex]2g+3a=7[/tex] with g = 2 and a = 1

[tex]2(2)+3(1)=7[/tex]

[tex]4+3=7[/tex]

The problem can be solved using a system of linear equations representing the cost relationships of granola bars and apples. By forming two equations from Addison's and George's purchases, you can find the cost of a granola bar (G) and an apple (A) using substitution or elimination.

This question is a classic example of a system of linear equations where each equation represents a relationship between the cost of granola bars and apples. In this case, we have two people, Addison and George, and their respective costs for purchasing a combination of granola bars and apples.

We can set up two equations based on the information. Let's say G represents the cost of a granola bar and A represents the cost of an apple.

From Addison's purchase, we get the equation: 2G + 6A = $10

And from George's purchase, we formulate the equation: 2G + 3A = $7

You can solve this system of equations using various methods, such as substitution or elimination, to get G (cost of a granola bar) and A (cost of an apple).

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-160

I'm so sorry if I get this wrong I'm still new!

Answer:

y = -12

Step-by-step explanation:

It's a horizontal line that goes through the point (0,-12). Look up HOY VUX on Google and that should explain the special cases for lines.

Answer: I would say to go with "2-cup carton of pineapple juice for $1.04"

Step-by-step explanation:

If you want more pineapple juice for a cheaper price go with 2-cup carton for $1.04 The reason I say this is because 2 quarts equal 8 cups, so if you multiply the 2 cups and price by 4 you get 8-cups= $4.16 which is cheaper.

Answer:

C. 17.156

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal. It can be expressed as a ratio of two integers.

The first answer wouldn't make sense, because there is no number times itself that would equal 15. Therefore, it would be irrational. Same goes with the last option.

We can also automatically rule out the second option because it is a nonterminating decimal.