Solve the equation 2a²3a-27=0

The selling price of the antique through an online auction website is $680.

Given that,

Kyle sold an antique through an online auction website.

The website host charges Kyle $15, plus 2.5% of the final selling price of the antique.

After selling the antique, Kyle had to pay the website host $32.

Let x be the selling price of the antique.

We get an equation,

15 + (2.5% × x) = 32

15 + 0.025x = 32

0.025x = 17

x = $680

Hence the selling price is $680.

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Step-by-step explanation:

The number of multiple-choice and short-answer questions on a test with 65 questions will be 40 and 25 respectively.

To determine the number of multiple-choice and short-answer questions on a test with 65 questions, we can set up a proportion based on the given ratio:

Multiple-choice questions : Short-answer questions = 8 : 5

Let x be the number of multiple-choice questions.

Let y be the number of short-answer questions.

Using the proportion, we can set up the following equation:

8/5 = x/y

8y = 5x

x = (8y)/5

Since the total number of questions on the test is 65, we have the equation:

x + y = 65

Substituting the expression for x from the previous equation:

(8y)/5 + y = 65

(8y + 5y)/5 = 65

13y/5 = 65

13y = 65 * 5

13y = 325

Dividing both sides by 13:

y = 325/13

y = 25

Substituting this value of y back into the equation x = (8y)/5:

x = (8 x 25)/5

x = 40

Therefore, there are 40 multiple-choice questions and 25 short-answer questions on the test with a total of 65 questions.

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Area of a complete circle is area = pi x r ^2

Area = 3.14 x 4^2

Area = 3.14 x 16

Area = 50.24 square units.

1/4 of the circle is missing, so multiply the area of the full circle by 3/4:

50.24 x 0.75 = 37.68 cubic units.

Answer:

9y+2

Step-by-step explanation:

You divide everything by 3

27y/3= 9y

6/3=2

Then add

9y+2

Hope this is helpful!

Answer:

9y + 2

Step-by-step explanation:

cuz 1/3(27) = 9y

and 1/3(6) = 2

add them and equals 9y + 2

ANSWER:

D. The set of all possible output values

STEP-BY-STEP EXPLANATION:

The range of a function is the interval of values that the response or dependent variable can take, that is, they would be the output values.

Therefore, the correct answer is D. The set of all possible output values

Answer:

5/8.

Hope this helped.

The system of equations is

125a + 65s = 1200

140a + 50s = 1230

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

125a + 65s = 1200

140a + 50s = 1230

-3500a - 1820s = -33600  

3500a + 1250s = 30750

-570s = -2850

s = $5

student

125a + 65(5) = 1200

125a + 325 = 1200

125a = 875

a = $7 adult

the other situation means that they didn't do it right at all

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Answer:

(see below)

Step-by-step explanation:

First, you know that the first statement given is Given.

Now that you have that, you want to concentrate on your goal, and that goal is to prove that ΔGHI is an isosceles. To do this, you need to prove that the two base angles or two adjacent sides are congruent.

To do this, you can prove ΔGHJ ≅ ΔIHJ first, then use CPCTC.

Because HJ is the perpendicular bisector of GI, GJ ≅ IJ. this will be under Definition of Perpendicular Bisectors because it's a line which cuts a line segment into two equal parts at 90°.

This also means that ∠GJI and ∠IJH are right angles under Definition of Perpendicular Bisectors. Do not combine the two statements.

To clarify everything, ∠GJI ≅ ∠IJH because "all right angles are congruent."

It's also clear that these two triangles share a side, so HJ ≅ HJ. This is the Reflexive Property of Congruence, stating that for any real number a, a ≅ a.

Now you can prove these two triangles congruent by the SAS Postulate.

Using CPCTC, corresponding parts of congruent triangles are congruent, GH ≅ HI.

Your last statement should be ΔGHI is an isosceles because of Definition of Isosceles Triangle. You also want to state the statement exactly as given as the question.

Your proof should look something like IMAGE.A.

Answer:

A. 18

Step-by-step explanation:

Sum of the measures of all the angles of a quadrilateral is 360°

Therefore,

\(2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18\)

Answer:

Answer B is correct

Step-by-step explanation:

Hey there,

\(cos \; L \;\;= \frac{adjecent}{hypotenuse}\)

\(cos\; L = \frac{8}{10}\)

The answer is,

\(\frac{8}{10}\)

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

the answer is 2616

hope this helped

Step-by-step explanation:

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

Answer: 5 gallons

Step-by-step explanation:

\(\frac{3050}{610} =5\)

Answer:

We can use the distance formula to solve this problem. Let d be the distance between the two students at time t (in minutes). Then:

d = 10 + 180t + 160t

d = 10 + 340t

We want to find the time it takes for the distance between them to reach 1870 feet, so we set d equal to 1870 and solve for t:

1870 = 10 + 340t

1860 = 340t

t = 5.47 minutes (rounded to two decimal places)

Therefore, it would take approximately 5.47 minutes before the two students were 1870 feet apart.

The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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Answer:

x < 5

Step-by-step explanation:

= -4 < 16-4x

= 4x < 16+4

= 4x < 20

= 4x/4 < 20/4

= x < 5

Answer:

Equivalent fractions to 8/5: 16/10, 24/15, 32/20, 40/25, 48/30...

Equivalent fractions to 1/3: 2/6, 3/9, 4/12, 5/15, 6/18...

Step-by-step explanation:

Answer:

answer = -1

Step-by-step explanation:

Step-by-step explanation:

political behaviour consists of activities that are

not required as part of one's formal

role in the organization

Answer:

33%

Step-by-step explanation:

6/9 = .66 which is the amount that do have it

1 - .66 = .33 which is the amount that dont.

.33 x 100 = 33%

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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Answer:

30

Step-by-step explanation:

The equation of the line that passes through the point (3,2) and has a slope of 4 is; y = 4x - 10

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Point (3,2)

Then Slope m = 4

Now Write the equation as;

y - 2 = 4(x - 3)

y = 4x - 10

Hence, The equation of the line is; y = 4x - 10

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The function f(x) after translation by 4 units left is g(x) = y = 3x + 2.

Given is the function as -

f(x) = 3x - 10.

We have the function -

y = 3x - 10

We can write the function f(x) after translation by 4 units left as -

y = 3(x + 4) - 10

y = 3x + 12 - 10

y = 3x + 2

Therefore, the function g(x) can be written as y = 3x + 2

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Answer:

x=0  and x=−2

Step-by-step explanation:

Explanation:

You can factor x2+2x=0

as: x(x2)=0

Now, we can solve each term for 0:x=0 - no other work needed,

and

x+2=0

x+2−2=0−2

x+0−2x=−2

Answer:

a) According to probability theory, the following are possible:

(1) The probability that a customer will buy 5 items in a single purchase is 30%.  This represents a 0.30 chance of the customer buying 5 items.

(3) The probability that a customer will buy 3 items in a single purchase is 99%  This means that there a 0.99 chance that the customer will buy 3 items.

b) According to probability theory, the following are not possible:

2) The probability that a customer will buy 3 items in a single purchase is 101%.  Probability is always equal to 1 or 100%.  It cannot exceed 100%.

(4) The probability that a customer will buy 8 item.  This part lacks the necessary information to solve the problem.

Step-by-step explanation:

Probability describes the likelihood or chance of an event happening out of the many possible events that can take place.  The sum of all probabilities for a particular event is always equal to 1.  This shows that probability does not exceed 100%.

Answer:

12.25π m²

Step-by-step explanation:

Circumference = Diameter x pi

Area = radius squared (^2) x pi

7 divided by 2 = 3.5

3.5^2 = 12.25

12.25π

Answer:

A ≈ 3.9

Step-by-step explanation:

How to solve

A=πr2

C=2πr

A=C2

4π = 72

4·π ≈ 3.8993

Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9