franklin is thinking of two numbers. the sum of the two numbers is 40.the first number x, is 11 less than twice the second number, y. which system of equations can be used to find the two numbers? A) xy=40, x=2y-11 B) x+y=40, x=11-2y C) x-y=40, x=11-y D)x+y=40, x=2y-11

Answer:

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

the equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

the line passes through (- 8, 1 ) and (7, 1 )

both with y- coordinates of 1 , then

y = 1 ← is the equation of the line

Based on the calculations, the perimeter of this regular polygon is equal to 7.5 units.

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Since this polygon is a regular polygon with each of its sides being equal, we have:

3(x - 1) = 5x - 6

3x - 3 = 5x - 6

5x - 3x = 6 - 3

2x = 3

x = 3/2

x = 1.5.

The measure of each of its sides is given by:

3x - 3 = 5x - 6

3(1.5) - 3 = 5(1.5) - 6

4.5 - 3 = 7.5 - 6

1.5 = 1.5

Each side, a = 1.5 units.

Now, we can determine the perimeter of this regular polygon:

Perimeter of pentagon = 5a

Perimeter of pentagon = 5 × 1.5

Perimeter of pentagon = 7.5 units.

Read more on polygon here: https://brainly.com/question/19034638

#SPJ1

Answer:

2x² + 14x + 6

Step-by-step explanation:

A match box is in the shape of a right rectangular prism so we can use the formula for the surface area of such a solid

A=2(wl+hl+hw)

where l = length, w=width and h = height

Substituting l = x, w = x+1 and height = 3 we get

wl = x(x + 1) = x² + x

hl = 3x

hw = 3(x + 1) = 3x + 3

So A = 2( x² + x + 3x + 3x + 3)

A = 2(x² + 7x + 3)

A = 2x² + 14x + 6

Answer:

0.62 feet per second

Step-by-step explanation:

Answer: 4 necklaces 2 bracelets. 8 bracelets. 2 necklaces 5 bracelets

Step-by-step explanation:

And the correct graph is the one in option b.

We know that you have 8 cups of flour, and it takes one cup of flour to make 24 cookies.

Then the linear function:

c(f) = 24*f

Relates the number of cookies that we can make using f cups of flour.

Then the possible domain of this function (the possible values of f) is given by:

0  ≤ f ≤ 8

The maximum number of cookies that can be made is:

24*8 = 192

And the range is:

0 ≤ c ≤ 192

With that in mind, we can see that the correct graph is the one in option b.

If you want to learn more about linear functions:

https://brainly.com/question/4025726

#SPJ1

Can you provide more information?

Answer:

[tex]-\frac{38}{3}[/tex]

Step-by-step explanation:

[tex]-12-\frac{2}{3}\\-12 = \frac{-36}{3} = \left(-36\right) \div 3\\\frac{-36}{3}-\frac{2}{3}\\=\frac{-36-2}{3}\\=\frac{-38}{3}[/tex]

Hope this helps!

The correct option is Quantity a: the number of prime numbers between 0 and 100, inclusive is greater.

A prime number is a natural number greater than 1 that is not the sum of two lesser natural numbers (or a prime). Any natural number greater than one that is not prime is referred to as a composite number. For instance, the product 1 5 and 5 1 are the only two ways to write the number 5, making it a prime. The fact that it is the sum of two smaller integers (2 x 2), 4, however, makes it composite. Primes play a significant role in number theory because of the fundamental theorem of arithmetic, it states that any natural number greater than one is either a prime number itself or may be factored as a unique prime product up to the order of the primes. the prime number (or a prime).

The number of primes reduces almost exponentially as we move up the number line. The prime numbers between 0 and 100 are therefore far more numerous than those between 101 and 200. It is crucial to understand this general number theory point, but it may also be rapidly illustrated by attempting to find some primes in these two groups.

To learn more about prime number ,visit:

https://brainly.com/question/15048606

#SPJ4

The number of new setups the internet service company perform in the neighborhood is 22 setups.

The correct answer is option B

Number of new setups the internet service company perform = Total amount the internet service company earned ÷ Amount the internet service company charge per new setup

= $770 / $35

= 22 setups

Therefore, the number of new setups the internet service company perform in the neighborhood is 22 setups.

Learn more about division:

https://brainly.com/question/25289437

#SPJ1

By using horizontal and vertical translations, we find that the expression for g(x) is g(x) = [tex]\sqrt[5]{x - 2}[/tex] + 1. (Correct choice: C)

The picture presents us the graphs of two functions. The blue function represents the parent function f(x), whose form is [tex]f(x) = \sqrt[5]{x}[/tex], whereas the black function is the transformed function g(x), which is the result of applying two transformations:

Then, we must apply the following definition involving the concepts of horizontal and vertical translations:

g(x) = f(x - 2) + 1     (1)

If we know that [tex]f(x) = \sqrt[5]{x}[/tex], then the complete expression of the function is:

g(x) = [tex]\sqrt[5]{x-2}[/tex] + 1

Hence, by using horizontal and vertical translations, we find that the resulting expression for g(x) is g(x) = [tex]\sqrt[5]{x - 2}[/tex] + 1. (Correct choice: C)

To learn more on transformation rules: https://brainly.com/question/9201867

#SPJ1

Answer:

75 * (625 percent) = 468.75

Step-by-step explanation:

Answer:

C. 20

Step-by-step explanation:

10|7−x| here we are asked to find the absolute value.

x is given as 5 so if we just rewrite the expression:

10|7-5| = 20 because absolute value cannot be negative.

Answer: 3.5 cups

To solve, we'll need to multiply because we know the SIZE of the groups and the amount of groups but we don't know the total amount.

The expression as a number in scientific notation is 4.2 * 10^5

The expression is given as:

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Rewrite properly as:

[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]

Evaluate the product of 7 and 5.4

So, we have:

[37.8* 10^3 * 10^4]/[9 * 10^2]

Evaluate the product of 10^3 and 10^4

So, we have:

[37.8* 10^7]/[9 * 10^2]

Evaluate the quotient of 37.8 and 9

So, we have:

[4.2 * 10^7]/[10^2]

Evaluate the quotient of 10^7 and 10^2

So, we have:

4.2 * 10^5

Hence, the expression as a number in scientific notation is 4.2 * 10^5

Read more about scientific notation at

https://brainly.com/question/5756316

#SPJ1

Answer: x = -3

Step-by-step explanation:

     First, we will write an equation.

two times ➜ 2 *

7x plus 5 ➜ 7x + 5

equals -32 ➜ -32

       2(7x+5) = -32

     Next, we will solve by isolating the x variable.

2(7x+5) = -32

14x + 10 = -32

14x = -42

x = -3

Answer:

The value is not a solution of the inequality.

Step-by-step explanation:

5 - x < 8

1. Substitute the variable, x, with -3: 5 - - 3 < 8

2. Use the KCC (keep,change,change) method to turn subtraction into addition: 5 + + 3 < 8

3. Add the numbers on left side of the inequality to get the answer: 8 < 8 - False statement - 8 is not less than 8.

Answer:

-1/6

Step-by-step explanation:

–5 + 7 = 7 + (–5)  is an example of the associative property. Option A

This is further explained below.

Generally, The associative property is a rule in mathematics that states that the product of a multiplication problem does not depend on the method in which the elements that are being multiplied do not vary.

In conclusion, Even if the numbers on each side of the equal sign are written in the opposite direction, adding -5 to 7 still results in the same answer: 7 plus (-5).

Read more about associative property

https://brainly.com/question/5637942

#SPJ1

Answer:12

Step-by-step explanation: 300 times 0.04 (4%) is 12

Answer:

see explanation

Step-by-step explanation:

525 divided by 1500 may be expressed in the following ways

525 ÷ 1500

[tex]\frac{525}{1500}[/tex]

1500  | |525

Answer:

See attached image

Step-by-step explanation:

I could not figure out how to do the long division symbol on the keyboard so I highlighted the answers in the attached.

Answer:

a₁₅ = 240

Step-by-step explanation:

to find the 15 th term substitute n = 15 into the general term

a₁₅ = 15(15 + 1) = 15(16) = 15 × 16 = 240

Using linear function concepts, it is found that:

i) The equation of BC is given by: [tex]y = -\frac{2}{3}x + \frac{20}{3}[/tex].

ii) The coordinates of C are C(0,10) and the coordinate of D are D(14,6).

The diagram is missing, and is shown in the graph at the end of the answer.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the coordinates are given as follows:

A(2, 14), B(-2,8) and C(x,0).

From the diagram, AB and BC are perpendicular, meaning that the multiplication of their slopes is of -1.

Given two points, the slope is given by change in y divided by change in x. Hence the slope of AB is given as follows:

mAB = (8 - 14)/(-2 - 2) = 3/2.

The slope of BC is given as follows:

mBC = (0 - 8)/(x - (-2))

mBC = -8/(x + 2).

The multiplication of the slopes is of -1, hence:

mAB x mBC = -1

-12/(x + 2) = -1

- x - 2 = -12

x = 10.

Hence, the slope of BC is:

mBC = -8/(x + 2) = -8/12 = -2/3.

Then:

y = -2/3x + b.

When x = 10, y = 0, hence we can find b as follows:

0 = -2/3(10) + b

b = 20/3.

Hence:

The equation of BC is given by: [tex]y = -\frac{2}{3}x + \frac{20}{3}[/tex].

From the diagram, we also have that AB and CD are parallel, meaning that they have the same slope, hence, considering D(x,y), we have that:

mCD = mAB

y/(x - 10) = 3/2

y = 1.5(x - 10)

y = 1.5x - 15.

AD and BC are also parallel, hence:

mAD = mBC

(y - 14)/(x - 2) = -2/3

Since y = 1.5x - 15, we have that:

(1.5x - 15 - 14)/(x - 2) = -2/3

(1.5x - 29)/(x - 2) = -2/3

3(1.5x - 29) = -2(x - 2)

4.5x - 87 = -2x + 4.

6.5x = 91

x = 91/6.5

x = 14.

y = 1.5x - 15 = 1.5(14) - 15 = 21 - 15 = 6.

Hence:

The coordinates of C are C(0,10) and the coordinate of D are D(14,6).

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The value of expression is -61

In the given question is that:

Evaluate the expression when n = 2

and, Equation is = 14n - 61 + 1- 31

Now, According to the question :

Put the value of n= 2 in above equation:

then, 14 x 2 - 61 +1 - 31

= -61

Hence, The value of expression is -61

Composition of Functions:

The composition of function is the process of creating another function by applying a function as an input to another function.

Learn more about Functions and Equations at:

https://brainly.com/question/23589082

#SPJ1

The pair of numbers that have the greatest common factor of 3 are:

6 and 9

18 and 15

3 and 9

The biggest number, which is the variable of at least two number is known as the Best Normal Element (GCF). It is the biggest number (factor) that partition them bringing about a Characteristic number. When every one of the elements of the number are found, there are not many variables which are normal in both.

The factors of 6 and 9 are:

6 ⇒ 1, 2, 3 and 6

9 ⇒ 1, 3, 9

The greatest common factor here is therefore 3.

The factors of 18 and 15 are:

18 ⇒ 1, 2, 3, 6, 9 and 18

15 ⇒ 1, 3, 5, and 15

Greatest common factor is also 3

The factors of 3 and 9 are:

3 ⇒ 1 and 3

9 ⇒ 1, 3, 9

Greatest common factor here is also 3.

Learn more about greatest common factor, refer:

https://brainly.com/question/4802873

#SPJ4

The number of bottles will be 24 bottles.

It should be noted that 1 pound = 16 ounces.

Since he bought 1 pound of each color, the total pounds will be:

= 1 × 9 = 9 pounds.

The number of sand art will be:

= 9 pounds / 6 ounce

= (9 × 16) / 6

= 24 bottles

Learn more about ounce on:

brainly.com/question/14953687

#SPJ1

Answer:

Step-by-step explanation:

-4w

nkjiug  kglkr fho'f v