What is the unit ratio and how

[tex]a_{6}[/tex] = 33

the n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d, hence

[tex]a_{6}[/tex] = 13 + (5 × 4 ) = 13 + 20 = 33

The sixth term (a₆) is 33 in the arithmetic sequence.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

In arithmetic, sequence d represents the common difference.

Where aₙ is the nth term of the sequence and a₁ is the first term

We have been given that a₁ = 13 and d = 4 in an arithmetic sequence,

Substitute the values in the formula,

⇒ a₆ = 13 + (5 × 4)

⇒ a₆ = 13 + 20

⇒ a₆ = 33

Therefore, the sixth term is 33 in the arithmetic sequence.

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96÷16(oz in a pint)= 6

x^2 - 14x = 14

x^2 - 14x + 49 = 63

(x - 7)^2 = 63

x - 7 = √63

x = 7 ± √63 is the solution set to the provided equation.

23%

23 / 100

if that is right your welcome

the answer is 5/100 because its in the hundreths place but it simplifies down to 1/20

thank you for your time and please mark brainliest

The solution of expression is,

p = 2/5

We have to given that,

An expression to solve,

3 (5p - 3) = 5 (p - 1)

Now, We can simplify as,

3 (5p - 3) = 5 (p - 1)

Apply distributive property, we get;

15p - 9 = 5p - 5

15p - 5p = 9 - 5

10p = 4

p = 4/10

p = 2/5

Therefore, The solution of expression is,

p = 2/5

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You can just write anything really

Statement: If David likes to do math then he is a good student.

Hypothesis: David likes to do math

Conclusion: He is a good student.

It's basically a if then statement

128 ounces and 16 cups

64÷8=8

64 1/2 gallon

8 cups

Answer:

Cost of peach = 0.30$

Cost of honeydew melon = 1.20$

Explanation:

 Let us assume that cost of peach to be x.

 So we have cost for the honeydew melon = Four times of the cost of peach

                                                                        = 4x

   Total cost = Cost of honeydew melon +  Cost of peach

                    = 4x+x = 5x

   We also have total cost = $1.50

   So equating both

               5x = $1.50

                 x = 1.50/5 =0.30$

   So cost of peach = 0.30$

        Cost of honeydew melon = 4x = 4*0.30 = 1.20$

B.) 15d+100

100 is a sure value as he earned it

We do not know how many days he worked, therefore variable d is used to represent d amount of days, but we do know he recieved $15 for everyday that he did work

y = 6 - 3x

x + y = 62

Since we already know the value of y, we can use substitution to find the value of x.

x + 6 - 3x = 62

Subtract 6 from both sides.

x - 3x = 56

Combine like terms.

-2x = 56

Divide both sides by -2

x = -28

Now that we know the value of x, we can solve for the value of y.

x + y = 62

-28 + y = 62

Add 28 to both sides

y = 90

The value of y is 90, and the value of x is -28 (this is your answer)

To make sure that these values are correct, we can plug them into the original equations.

y = 6 - 3x

x + y = 62

90 = 6 - 3(-28)

90 = 90 √ this is correct

-28 + 90 = 62

62 = 62 √ this is also correct

Final answer:

Using a system of linear equations, we find that the two numbers in question are 45 and 17.

Explanation:

Let's call the first number x and the second number y. According to the problem, one number (x) is 6 less than 3 times another number (y). So we can write this as an equation: x = 3y - 6.

The problem also states that their sum is 62. This gives us a second equation: x + y = 62.

Now, we have two equations:

x = 3y - 6 (Equation 1)

x + y = 62 (Equation 2)

To find the values of x and y, we can substitute the expression for x from Equation 1 into Equation 2, giving us:

(3y - 6) + y = 62

Simplifying, we have:

4y - 6 = 62

Adding 6 to both sides:

4y = 68

Dividing by 4:

y = 17

Now that we have the value for y, we can substitute it back into Equation 1 to find x:

x = 3(17) - 6

x = 51 - 6

x = 45

Therefore, the two numbers are 45 and 17.

6/2 =3

18/3 = 3

(18-6)/((6-2)= 12/4 =3

True

6/2=3

18/6=3

The answer is True

1. rational number

2. percent

3. least common denominator

4. proportion

5. percent proportion

I am positive that these numbers are correct.

1 is rational number

2 is percent

3 is least common denominator

4 is proportion

5 is percent proportion

The equation which represent the number you are thinking x = (1/2)x + 5 your number is 10.

Let's represent the number you are thinking of as "x."

According to the given information, your number is 5 more than one-half of your number. Mathematically, this can be written as:

x = (1/2)x + 5

The equation x = (1/2)x + 5 represents the situation where your number is 5 more than one-half of your number. To find the value of your number (x), you can solve this equation:

Subtract (1/2)x from both sides to isolate x:

x - (1/2)x = (1/2)x + 5 - (1/2)x

(1/2)x = 5

Now, multiply both sides by 2 to get rid of the fraction:

2 * (1/2)x = 2 * 5

x = 10

So, your number is 10.

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A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. We use the symbol ⊙ to represent a circle. The a line segment from the center of the circle to any point on the circle is a radius of the circle

In mathematics, the relationship between the set of points in a plane equidistant from a point is represented by a circle.

In mathematics, the relationship between the set of points in a plane equidistant from a point is represented by a circle.

A circle is defined as the set of all points that are the same distance, called the radius, from a given point, called the center.

For example, if point A is located at (2, 3) and the radius of the circle is 5 units, the equation of the circle would be (x - 2)² + (y - 3)² = 5².

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Answer:

33

Step-by-step explanation:

7 divided by 7 equals 1. So, 7 divided by 1 equals 7.

Hope this helps.

Answer:

49

Step-by-step explanation:

7 squared is 49. 49 divided by 7 = 7

OMG NO I WANT TO HELPA YOU BUT I HAVE NO CLUE HOW

i do to but i'm not good with stuff on paper

Answer:

c  100

Step-by-step explanation:

Using the long divison method, the remainder when x⁴ + 36 is divided by x² - 8 is 100

_____x²+8

___________

x² - 8 | x⁴ + 36

____ | x⁴ - 8x²

-________8x² + 36

-________8x² - 64

___________100

The remainder is calculated as (36 - (-64)) = (36 + 64) = 100

Therefore, the remainder is 100

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What I do is to add up the hundreds and tens in my mind first:

130 + 90 + 160 = 380

and then add the small change:

7.50 + 2.50 + 2.50 = 12.50

and add it back to the first amount

392.50

Its $392.50

All you have to do is add $137.50 + $92.50 + $162.50 = $392.50

Hope the answer helps!

Answer:

C) 3x^2 + 20x + 12 = 0

Step-by-step explanation: Because it is the right answer

What are the solutions to the equation?

A. x = -6 and x = -2/3

Step-by-step explanation:

this was a second part to the question for me so i decided to give u guys it as well, incase u come across it

$358.20 + $358.20 * 17.5% = $420.89

$358 -- Original Price

$358.20 * 17.5% -- Price of Tax

$358.20 + $358.20 * 17.5% -- Both added together

The total cost of the new PlayStation is calculated by adding the initial price ($358.20) and the VAT amount at a rate of 17.5%. The VAT amounts to $62.68. Hence, the total amount paid for the new PlayStation is $420.88.

The total cost of the new PlayStation includes the initial cost and the additional charge due to VAT (Value Added Tax). Here, the initial cost is $358.20 and the VAT is charged at 17.5%. First, we need to calculate the VAT amount.

The VAT amount can be calculated using the formula:

VAT Amount = (VAT rate/100) x Cost without VAT

So, VAT Amount = (17.5/100) x 358.20 = $62.68

Now, we can calculate the total cost including VAT. The total cost including VAT is the sum of the initial cost and the VAT amount, which in this case is:

Total cost = Initial cost + VAT Amount

So, Total cost = 358.20 + 62.68 = $420.88

Therefore, the amount paid for the new PlayStation, taking into account the VAT, is $420.88.

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8 - x < 5      |-8

-x < -3       |change the signs

x > 3

Answer:  The correct option is (D) 22.

Step-by-step explanation:  We are given to find the value of x from the given figure.

From the figure, we see that a triangle is shown where the measure of an external angle is (6x + 1)° and the measures of the two remote interior angles are 79° and (2x + 10)°.

Since the sum of the measures of two remote interior angles of a triangle is equal to the measure of the external angle, so we get

[tex]79^circ+(2x+10)^\circ=(6x+1)^\circ\\\\\Rightarrow 79+2x+10=6x+1\\\\\Rightarrow 6x-2x=88\\\\\Rightarrow 4x=88\\\\\Rightarrow x=\dfrac{88}{4}\\\\\Rightarrow x=22.[/tex]

Thus, the required value of x is 22.

Option (D) is CORRECT.