Solve for x
1(x+6) - 3 =4(x + 2)

The best reason why 2/5 is the exact quotient for 1/4 divided by 5/8 is: ²/₅ * ⁵/₈ = ¹/₄

To divide fractions, firstly, you need to turn the 2nd fraction upside down. For example, 3/8 divided by 3/4 would be 3/8 divided by 4/3. After you have flipped the second fraction, you multiply them - 3*4 = 12. 8*3 = 24 so the answer would be 12/24. Which then could be cancelled down to 1/2.

Now, from the given question, we can say that:

1/4 ÷ 5/8

Now, from the earlier step in dividing fractions, the next step is to turn the 2nd fraction upside down and multiply by the first to get:

¹/₄ * ⁸/₅ = ²/₅

Rearranging, we have:

²/₅ * ⁵/₈ = ¹/₄

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Complete question is:

Which is the best reason why 2/5 is the exact quotient for 1/4 divided by 5/8

constructing the triangle

From the figure,

We will be applying trig. ratios

Finding BC with respect to angle 30

Finding AB with respect to angle 30

Therefore,

BC = 12 and AB = 24

Answer: y=-6.4

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

We know that the vertically opposite angles are equal.

Accordingly,

41 = 2x + 1

Subtract 1 from both sides.

41 - 1 = 2x

40 = 2x

Divide both sides by 2.

x = 20

Answer:

$105.13

Step-by-step explanation:

[540.50 - (4 x 30)]/4 = $105.125

Answer:

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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The answer is $292.33. This represents the total amount of interest paid over the 14-month payment period.

Interest rate refers to the amount charged by a lender to a borrower for the use of money, usually expressed as a percentage of the principal amount borrowed.

To calculate the interest paid, we first need to determine the total amount of interest charged over the 14-month payment period. We can use the following formula to calculate the monthly interest rate:

i = (APR / 12) = 0.1995 / 12 = 0.016625

Where APR is the annual percentage rate.

The total interest charged can be calculated using the formula:

Total interest = Principal * Interest rate * Time

Where Principal is the initial debt, Interest rate is the monthly interest rate, and Time is the duration of the loan in months.

So, the total interest charged would be:

Total interest = $1,325.76 * 0.016625 * 14 = $292.33

Therefore, the answer is $292.33. This represents the total amount of interest paid over the 14-month payment period.

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9514 1404 393

Answer:

  B.  G(x) = (x -0.5)³ -(x -0.5)

Step-by-step explanation:

The desired equation can be found by translating the function left one unit. That is accomplished by replacing x with x+1. Then you have ...

  G(x) = ((x +1) -1.5)³ -((x +1) -1.5)

  G(x) = (x -0.5)³ -(x -0.5) . . . . . . . . matches choice B

Answer:

If you need an inequality here it is, can't really tell what you're trying to ask.

x-13≤15

Step-by-step explanation:

When we are talking about AT LEAST we are talking about the minimum.

For example, if I start a party and the age requirements for the party is at least 15, that means anyone who is 15 or older can enter the party.

So in your question, it says x reduced by 13 is at least 15, so reduced basically means to minus. So we are going to have x-13.

Then you have the "is at least 15". The at least is your sign for your inequality.

For example,

At least=≤

At most=≥

So the "is at least 15" is ≤15

Plug the numbers in: x-13≤15

Answer:

Step-by-step explanation: 5.) Circular shape.

     6.) Feet.

     7.) Circle.

     8.) The circumference is 9 and the radius is 18.

     9.)  By the way we would need to use The Circumference as 2 and the radius to be 9 to equal 18 for the radius circle.

The zeros of the polynomial p(x) = x³ + x² + 8x - 60 will be (- 2 + √4 i), (- 2 - √4 i) and 3.

Given that:

Polynomial, p(x) = x³ + x² + 8x - 60

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

At x = 3, then we have

p(3) = 3³ + 3² + 8(3) - 60

p(3) = 60 - 60

p(3) = 0

The one zeros are 3. Then the other two zeros are given as,

(x³ + x² + 8x - 60) / (x - 3) = 0

[(x - 3)(x² + 4x + 20)] / (x - 3) = 0

x² + 4x + 20 = 0

x = [-4 ± √(4² - 4 × 1 × 20)] / (2 × 1)

x = - 2 ± √4 i

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An expression for the area of △KNM is = 1/2 x 2b x a

Given,

In the question:

In triangle KNM ;

The length of the base (MK) = 2b

and, height of the triangle is= a

To write an expression  for the area of △KNM .

Now, According to the question:

We know that :

Area of triangle is = 1/2 x base x height

The length of the base (MK) = 2b

and, height of the triangle is= a

Plug all the values in the area of triangle :

Here, Area of triangle is = 1/2 x 2b x a

Hence, An expression for the area of △KNM is = 1/2 x 2b x a.

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Answer: Jarrod has earned more this year

Step-by-step explanation:

 You can follow the picture I have uploaded if you need help with the explanation :)

Answer:

Step-by-step explanation:

From the given information;

Angela took a general aptitude test and scored in the 90th percentile for aptitude in accounting.

What percentage of the scores were at or below her score?

The percentage of scores that were at or below her score is

Percentage P = 90%

This benchmark is more than average, so we can typically say more of the scores were at or below her score

What percentage were above?

Since The percentage of scores that were at or below her score is

Percentage P = 90%

Then the percentage of the scores that were above will be : (100 -90)%

= 10 %

We can see here that  less percentage of score were above Angela's Score.

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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The quotient of the expression (10x³ - 2x² + 8x)/2x is (5x² - x + 4).

The given expression is;

=  (10x³ - 2x² + 8x)/2x

Take 2x common on the numerator.

= 2x(5x² - x + 4)/2x

Cancel 2x from the numerator and denominator part.

= 5x² - x + 4

Thus, the quotient of the expression is found as 5x² - x + 4.

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Answer:

30

Step-by-step explanation:

1/2(12)(5)

Answer:

30

Step-by-step explanation:

The area of a triangle is 1/2 bh

b= base, in this case 12 cm

h= height, in this case 5 cm

so you multiply 5 times 12 and you get 60

You take that 60 and half it to get your answer of 30.

Answer:

The answer is "16%".

Step-by-step explanation:

Its empirical rule suggests which 68% of the very first standard deviation, 95% of the very first 2 standard deviations or 99.7% of the very first three standard deviations of the variance average fall.

\(z =647 \\\\z=\frac{(647-547)}{100}= \frac{100}{100}=1\)

The empirical rule indicates the first standard deviation around 68 percent.

So,

\(=\frac{(100-68)}{2} \\\\=\frac{32}{2} \\\\= 16 \% \ drop \ 647 \ and \ above\)

Answer:

<

Step-by-step explanation:

-|6| = -6

-6<6

Answer:

39

Step-by-step explanation:

you can divide this polygon into a parallelogram + a triangle + a rectangle.

area parallelogram is 28

area rectangle is 8

area triangle is 3

the sum is 39

Answer:

Step-by-step explanation:

This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre

first, let us convert from the yard to feet

given that the dimension of the pitch is

120 yards by

53.333 yard

1 yard is 3 foot

120 yards will give x

cross multiply we have

x1= 120*3

x1= 360 feet

also the second dimension is

x2= 53.333*3

x2= 159.999

x2= 159.999 feet

the area of the pitch is

area= 159.999*360

area= 57599.64 ft^2

Note: an acre is a unit for land area (1 acre=43560 ft^2)

if 1 acre = 43560 ft^2

x acre =  57599.64 ft^2

cross multiply we have

x acre =  57599.64/43560

x acre = 1.32 acre

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

g(-4) = 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.

∴ g(-4) = 1

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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