Carly spends $5 for n notebooks. Write an algebraic expression to represent the cost of one notebook.

Answer:

Step-by-step explanation:

1.  (a) 24 X 3/4= 18 multiplication

you have to multiply to get a smaller answer since you are using a fraction.

2. (a) 24 / (-3/4)= -32 division

you have to divide to get a bigger number than started since you are using a fraction

3. (A) 12-15= -3 subtraction

when you subtract a bigger number than the first number you end up normally with a negative number

4. (a) 12 -(-15) subtraction

when you subtract with a negative number you distribute so the two negatives cancel out and it become an addition sign. (if you look at it the two negatives and the parenthesis looks like an addition sign (+)

5. (A) -18 / (-3/4) =24 division

when you divide two negative values you will always get a positive answer. And again dividing a fraction will get you a bigger answer.

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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Answer:

D.

Step-by-step explanation:

He has to walk down 3 blocks and right 10

Answer:

hello answer is a

answer is x greater than or equal to -2

and x is less than 4

Step-by-step explanation:

Answer: 6 large frames and 12 small frames

Step-by-step explanation:

We define the following:

x = number of large frames

y =  number of small frames

Make the following equations:

x + y = 18

19x + 9y = 222

Use system of equations to solve. We find the value of x first.

y = 18 - x

⇒ 19x + 9(18 - x) = 222

⇒ 19x + 162 - 9x = 222

⇒ 10x + 162 = 222

⇒ 10x = 60

⇒ x = 6

Find value of y:

6 + y = 18

y = 12

∴ 6 large frames and 12 small frames were purchased.

The dimension of the product of the matrices are

The dimensions of a matrix are the number of rows and columns it has.

Given the matrix A is 5 × 3, Matrix B is 5 × 5 and Matrix C is 3 × 4, to find the dimensions of their products, we proceed as follows.

To find the dimension of the products of a matrix A' with dimension a × b and B' with dimension c x d, to have a product,

So, the dimension of AB are 5 × 3 and 5 × 5. Since the number of columns in A is not equal to the number of rows in B, the product does not exist

The dimension of BA are 5 × 5 and 5 × 3. Since the number of columns in B is equal to the number of rows in A, the product exists and the dimension is 5 × 3

The dimensions of AC are 5 × 3 and 3 × 4. Since the number of columns in A is equal to the number of rows in C, the product exists and the dimension is 5 × 4

So,

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Answer:

Step-by-step explanation:

Let g and r represent the numbers of games played and rides ridden, respectively. Then the system can be written ...

  1.50g +2.50r = 16.50 . . . . . total amount spent

  g = 2r . . . . . . . . . . . . . . . . . . relationship of games to rides

Answer:

# of Rides: 3

# of Games: 6

Step-by-step explanation:

First try any possible combinations of games *2 more than rides.

Ex: 1&2, 2&4, 3&6, 4&8

2.50*3 = $7.50

1.50*6 = $9.00

7.50 + 9 = $16.50

If # of rides = r and # of games = g, equation:

16.50 = 2.50r + 1.50g

Answer:

x = 32/15 and y = -0.3333333333.

Step-by-step explanation:

Please here it is

Answer:

2*5

Step-by-step explanation:

when youre dividing with powers you have to subtract them so 2*5-2*4=2*1. When the power is in brackets you multiply the whole power. So 2*1 x 5 = 2*5.

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

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Answer:

1/4 cup of flour and 1/8 cup of sugar. (i am estimating)

Step-by-step explanation:

The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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Answer:

x=24

Step-by-step explanation:

Answer:

The number of right-handed people = 56

Step-by-step explanation:

80% of 70 players = number of right-handed people

So, 80/100 x 70 = 56 players

Therefore, number of right-handed players = 56

Answer:

Have you tried going halfway between the numbers?

Answer:

168,  336,  672

Step-by-step explanation:

Calculate the midpoint of the two numbers, example,

112 + 224 = 336

336/2 = 168

168 is the midpoint

Answer:

Linear

Step-by-step explanation:

It is a first-degree function, the variable "x" has power 1

when graphed, a straight line results in

Hope this helps

Answer:

c

Step-by-step explanation:

the area of the given fig will be (12 × 7) +(12 × 7)

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

a floor covered with white tiles and gray tiles.

the area of the given figure will be

(12 × 7)  and another (12 × 7)

So the total area will be (12 × 7) +(12 × 7)

Hence the area of the given fig will be (12 × 7) +(12 × 7)

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Answer:

it is really puzzled

I will think for it

The cost of an ad algebraically as a piecewise function is 29.50x + 5.25

An algebraic function is a polynomial equation that can be constructed using only algebraic operations such as addition, subtraction, multiplication, division and exponentiation

The given statement reads:

The Fort Salonga News charges $29.50

Each line above four lines costs an additional $5.25.

Let the expression be in x

y= 29.50x + 25.5

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Scale factor back to original size = 1/7

        7x and 7 years.

This means the original size will be;

Length = 7x × 1/7

Width = 7y × 1/7

Hence, the scale factor will be 1/7 back to the original size.

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