Constant rate of change?

Answer:

12x

Step-by-step explanation:

5x - 6x + 2 * 4 x 2 - 3x

5x - 6x + 16x - 3x

12x

The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).

Total weight of the backpack= 2 2/3 pounds

                                                = 8/3 pounds

The weight of the each book =7/8 pounds.

Let x be the weight of the lunch box in pounds.

An equation that represents the total weight in Avery's backpack,

2(7/8) + x = 8/3

To solve for x, simplify and solve for x,

⇒14/8 + x = 8/3

Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,

⇒42 + 24x = 64

Subtracting 42 from both sides,

⇒24x = 22

Dividing both sides by 24,

⇒x = 22/24

Simplifying the fraction,

⇒x = 11/12

     =  0.92 pounds (rounded to two decimal places).

Therefore, the  weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).

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Answer:

A , B and C

Step-by-step explanation:

182 is a rational number as it can be written in p/q form. (182/1)

182 is a positive integer.   {Integers:   ........ -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 .......}

182 is a whole number. {0, 1 , 2 , 3 ,...............}

The answer choice which represents an equation with infinitely many solutions is; Choice B; -19x - 19 = -19x -19.

It follows from the task content that the task requires that the equation with infinitely many solutions be identified.

On this note, the answer choice B in which case;

-19x - 19 = -19x -19

On this note, since the left and right side of the equation are equal, the equation has infinitely many solutions.

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Answer: B C D

Step-by-step explanation:

Answer:

A. 7:10

B. 10:17

Explanation: The ratio of A. would be 14:20, simplified would be 7:10. The ratio of B. would be 20:34, simplified being half of both numbers. Giving you 10:17.

Answer:

x = 1

Step-by-step explanation:

Given

\(\frac{x}{2}\) - \(\frac{4}{5}\) + \(\frac{x}{5}\) + \(\frac{3x}{10}\) = \(\frac{1}{5}\)

Multiply through by 10 ( the LCM of 2, 5 and 10 ) to clear the fractions

5x - 8 + 2x + 3x = 2 , that is

10x - 8 = 2 ( add 8 to both sides )

10x = 10 ( divide both sides by 10 )

x = 1

answer

answer in picture.

☺☺☺☺☺☺☺

Answer:

Step-by-step explanation:

It takes 1/2 hours to drive from A-ville to B-town. It takes three-fifths of the time it takes to drive from A-ville to B-town to drive from B-town to C City.

To drive from B-town to C City, it will take:

1/2 * 3/5

= 3/10 hours

Answer:

3/10

Step-by-step explanation:

A to B: 1/2 hours

B to C: 3/5 of A to B

3/5 x 1/2

= 3/10

Answer:

C is correct

Step-by-step explanation:

Answer:

D.

I promise

Step-by-step explanation:

Hope this helps!!

Answer:

1.  -6/A

2. 6/A

3. 3/A

Answer:

D

Step-by-step explanation:

Answer:

D.13

Step-by-step explanation:

3^2=9

2^2=4

9+4=13

The earned amount by Dale in 3 years is: 15 dollars.

How to calculate the amount?

To calculate the annually amount based on the principal money is by using simple interest method. This interest was given by the bank. And it is calculated by multiplying the principal amount, rate and time and divided by 100.

According to the question, the given amount parameters for the simple interest calculation is as follows:

Principal amount: $100

Rate of interest: 5%

Time(years): 3 years

Using standard simple interest formula, we get:

S.I. = (P x R x T)/100

S.I. = (100 x 5 x 3)/100 = 15 dollars

Hence, the earned amount by Dale in 3 years is: 15 dollars

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Answer:

38

Step-by-step explanation:

v=u+at

v=16+11(2) Do multiplication first

v=16+22

v=38

Answer:

38

Step-by-step explanation:

1. Plug in the each number for its variable to get v = 16 + 11 x 2

2. Multiply 11 and 2 to get 22

3. add 16 to 22 to get 38

Answer: Correct me if I am wrong, but this is how I think you should solve it.

Step-by-step explanation:

1. Simplify 8×5 to 40.

−2×(40+9)−6×7

2. Simplify 40+9 to 49.

−2×49−6×7

3. Simplify −2×49 to −98.

−98−6×7

4. Simplify 6×7 to 42.

−98−42

5. Simplify

−140

Your all done! Hope this helps.

Answer:

Y=1/3(x-1)*2-4

Step-by-step explanation:

jus look at the answer bra

The given sequence is a arithmetic sequence with the common difference is -6.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d

The given sequence is 22, 16, 10.

Here,

Common difference = Second term - First term

16-22=-6 and 10-16=-6

Since the common difference between the terms is same, the given sequence is arithmetic sequence.

Hence, 22, 16, 10 is a arithmetic sequence with the common difference is -6.

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The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer:

The selling prices are same.

Step-by-step explanation:

According to the problem, given data are as follows:

Regular price = $49

Store A

Discounts first = $15

Price after discount = $49 - $15 = $34

Now adds 7.5% sales tax = $35 + ( $35 ×7.5%) = $35 + $2.625

So, final selling value = $37.625 or $38

Store B

Adds tax first = $49 + ($49 × 7.5%) = $49 + $3.675 = $52.675

Now deduct discount = $52.675 - $15

So, Final selling price = $37.675 or $38

As there is very minimal or no difference between both prices, so this considers to be same.

Answer:

Thus, the blanks should be completed with 1;0 respectively

Step-by-step explanation:

Cosine of the sum of angles

The formula for the cosine of angles \alpha and \beta is shown below:

\(cos(\alpha+\beta)=cos\alpha*cos\beta-sin\alpha*sin\beta\)

For the expression given in the question:

\(cos(x+2\pi)=cosx*cos2\pi-sinx*sin2\pi\)

Since

\(cos 2\pi=1, sin2\pi=0:\)

\(cos(x+2\pi)=cosx*1-sinx*0\)

Thus, the blanks should be completed with 1;0 respectively

Answer:

A. 1;0

Step-by-step explanation:

did on edge

Answer:

Two intervals are 63 and 75

Step-by-step explanation:

Given:

Mean of students (μ) = 69 inches

Standard deviation (σ) = 3 inches μ

Find:

Interval of heights (95%) using empirical rule

Computation:

Interval of heights (95%) using empirical rule:

⇒ μ – 2σ = 69 - 2(3)

⇒ μ – 2σ = 69 - 6

⇒ μ – 2σ = 63

⇒ μ + 2σ = 69 + 2 (3)

⇒ μ + 2σ = 69 + 6

⇒ μ + 2σ =  75

Two intervals are 63 and 75

Answer: 65.5, 72.5

Step-by-step explanation:

Answer: 0. 92 = 92%

100% = 500

92% = 500 × 92/100 = 460

Step-by-step explanation:

Answer:

18 : 7

I hope this help I would also appreciate brainliest please :)

Answer:

-19x

Step-by-step explanation:

so you start with -8 and when you subtract 11 from -8 its the same as adding them but because your subtracting you'll decrease which make the answer -19x. (hopefully this made sense)

Answer: 75 u²

Step-by-step explanation:

1/2(5)((14)+(16))

Add in parenthesis

1/2(5)(30)

Multiply

1/2(150)

Multiply

75

Hope it helps <3

The integer variable "a" is congruent to 11 modulo 19. This means that "a" leaves a remainder of 11 when divided by 19.

In modular arithmetic, the modulo operator (mod) is used to find the remainder of a division operation. In this case, the equation "a = 11 (mod 19)" signifies that "a" is congruent to 11 modulo 19. It implies that when "a" is divided by 19, it leaves a remainder of 11. To illustrate this further, consider a few examples:

If "a" is 11, then 11 divided by 19 yields a remainder of 11, satisfying the congruence.

If "a" is 30, then 30 divided by 19 results in a quotient of 1 with a remainder of 11. Again, this satisfies the given congruence.

In general, "a" can be expressed as "a = 19k + 11," where "k" is any integer. This formula shows that any value of "a" that satisfies this equation will be congruent to 11 modulo 19.

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Answer: x = 27

Step-by-step explanation:

we know that vertical angles are equal to each other, so

4x + 7 = [ 5 (x - 4) ]

distribute

4x + 7 = 5x - 20

subtract 4x from each side to combine variables

4x - 4x + 7 = 5x - 4x - 20

simplify

7 = x - 20

add 20 to both sides to solve for x

7 + 20 = x -20 + 20

simplify

27 = x

check your work, substitute value of x into equation

4x + 7 = 5x - 20

4(27) + 7 = 5(27) - 20

108 + 7 = 135 - 20

115 = 115

solution equals and is true, problem solved!

The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,

45 + n,

Now, if the value of n is 1.1. Then the sum will be,

\(45+n\\\\=45+1.1\\\\=46.1\)

Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

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The smallest possible value of m according to the task is; 1/1540.

Since it follows from the task content that the product of 1540 and m is a square number and the smallest possible small number is; 1.

The equation which holds true is; 1540 × m = 1

Consequently, m = 1/1540.

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