Mathematics High School

What's an equation for "Six more then twice a number is 72?"

Answers

Answer 1

the equation would be:

2x+6 = 72

Answer 2

2n + 6 = 72 <== ur equation

Related Questions

Twice a certain number is tripled. The resulting number is _____.

Answers

[tex]2x\cdot3=6x[/tex]

x represents the certain number, now make an equation:
(2x)*3 = 6x

The city is planning to install streetlights and wants five lights along a walkway of 60 yards. if there is a light at the beginning and at the end of the walkway and the lights are evenly spaced, what is the distance between each light

Answers

If you try to imagine a walkway has a total of 60 yards starting from the first streetlight down to the last streetlight. Knowing that there are a total of five streetlights all in all, that means there are only 3 left to space evenly between the first and the last streetlight. Consequently, there would be four spaces all in all. Please see the picture so that you would understand better.

That means there are 4 evenly spaced lengths measuring to x yards. Therefore,

x = 60/4 = 15 yards

The distance between each light is 15 yards.

Geometry Help Please

Answers

To determine if ABC is a right angle triangle, we need to check whether two lines are perpendicular, in other words, an intersection of 90°.

When two lines are perpendicular to each other, then their slope multiplied to give -1

Formula to find steepness slope is vertical distance ÷ horizontal distance

Slope AB = [tex] -\frac{3}{2} [/tex]
Slope BC = [tex] \frac{2}{3} [/tex]

Slope AB is a negative slope while BC is a positive slope

Slope AB × Slope BC = [tex]- \frac{3}{2} [/tex]×[tex] \frac{2}{3} [/tex] = -1

Angle ABC is right angle, hence triangle ABC is a right-angled triangle

One way to recognize a line of symmetry is to look for a line that divides the original image into

Answers

yes that is correct
like a square if you half it both sides equal each other but if you half a elephant then it is not equal

2 equal halves

for example a line of symmetry fro an isosceles triangle is a line from vertex to midpoint of the opposite side.

Gabby solved x2 - 3x = 4 as shown below:
x2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = -4 and x = 1

Caitlyn says Gabby is wrong and believes this is the solution:
x2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = 4 and x = -1

Is Gabby or Caitlyn correct? What mistake was made by the incorrect girl? Type your response in the box provided.

Answers

Caitlyn is correct.
Both factored correctly but the reason Gabby is wrong is because of the Zero Product Property, which says if (x-4)(x+1)=0, then (x-4)=0 or (x+1)=0.

If (x-4)=0, then the value of x must be 4.
If (x+1)=0, then the value of x must be -1.

what is the proportion for 2/3 and 8/10

Answers

there is no solution I believe since 2/3 and 8/10 cross multiplied are 2 times 10 and 3 times 8 which is 20 = 24 which does not equal and there is no answer

What's the 6th term in a sequence that starts with -7.5 and has a common ratio of 9?

Answers

[tex]\bf n^{th}\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=-7.5\\ r=9\\ n=6 \end{cases}\implies a_6=-7.5\cdot 9^{6-1}[/tex]

How to factor x^2+27

Answers

Hello,

If you know complex, than:

x²+27=x²-i²*3*9=(x-i*3√3)(x+i*3√3)

is this correct? if not please let me know how to solve it

Answers

It's correct.

All you had to do was distribute and you did that perfectly.

it is correct. you had to use the distributive property and you did that correctly.

HELP PLEASE..answer fast please and show all work and explain how to solve

Answers

[tex] \cfrac{a}{sinA}= \cfrac{b}{sinB} \ \ \to \\ sinB= \cfrac{b*sinA}{a} = \cfrac{10*sin15^o}{9}= 0.2875 \ \ \to \ m \angle B=16.7^o \\ \\ \\ m \angle C=180- m \angle A- m \angle B=180-15-16.7=148.3^o \\ \\ \\ \cfrac{a}{sinA}= \cfrac{c}{sinC} \ \ \to \ c= \cfrac{a*sinC}{sinA}= \cfrac{9*sin148.3^o}{sin15^o} \approx 18.3[/tex]

Determine whether the expression is a polynomial. If it is a polynomial, state the degree of the polynomial.
x^3-9
a. yes, 3
b. yes, 1
c. yes, 2
d. no, it is not a polynomial

Answers

A. the degree of a polynomial is the value of the greatest exponent which in this case is 3

Final answer:

The expression x^3 - 9 is indeed a polynomial because it consists of a variable raised to a non-negative integer exponent and a constant. The highest power of the variable is 3, which makes the degree of the polynomial also 3.

Explanation:

To determine whether the expression x^3 - 9 is a polynomial and to state its degree, we need to look at the characteristics of polynomials. A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

The expression in question, x^3 - 9, fits this definition because it involves a single variable x raised to a non-negative integer exponent (3), and a constant term (-9).

Next, to identify the degree of the polynomial, we look for the highest power of the variable in the expression. The highest power of x in x^3 - 9 is 3. Therefore, this expression is indeed a polynomial, and its degree is 3.

The correct answer to the question is: a. yes, 3.

The graph below represents the price of the banana at one store. What is the constant of proportionality?

Answers

100 /4 = 25

answer is 25 cents per pound
hope it helps

Which statement is true about the polynomial after it has been fully simplified? (See picture)

Answers

I think it would be "It has 2 terms and a degree of 2", because the 3x^2y^2 and the -3x^2y^2 cancel out. Then, you're left with -5xy^2+2x^2.
In what remains, there are 2 terms, each with the highest degree of 2, so I would be led to believe A is your answer.

What is the answer to solve negative eight positive negative 2 for integers?

Answers

We will transform the wordings into an equation as follows:
(-8) + (-2)
A positive sigh followed by a negative sign usually yields a negative value.

Therefore, the above equation becomes:
- 8 - 2 which can be easily calculated:
-8 -2 = -10

Prove or disprove the identity. If you find the identity is true, state the first line of the proof. If you find the identity is false, write the correct equation by replacing the right side.
sin x cos x tan x cot x = 1

A) the identity is true. sin x cos x tan x cot x = cos x
B) the identity is true. sin x cos x tan x cot x = sin x tan x
C) the identity is false. sin x cos x tan x cot x = sin x cos x
D) the identity is false. sin x cos x tan x cot x = sin x

Answers

sin x cos x tan x cot x

Change to sin's cos's:-

= sin x cos x sin x cos x
------- -------
cos x sin x

= sin x cos x

C is correct

Final answer:

The identity sin x cos x tan x cot x = 1 is false. By using the definitions of tan and cot, we can show that sin x cos x tan x cot x simplifies to sin x cos x.

Explanation:

The student has asked to prove or disprove the identity sin x cos x tan x cot x = 1. To verify this identity, we need to remember the definitions of the trigonometric functions. The tangent (tan) of an angle is the ratio of the sine (sin) to the cosine (cos) of that angle, and the cotangent (cot) is the reciprocal of the tangent.

Therefore, tan x = sin x / cos x, and cot x = cos x / sin x. When we multiply tan x by cot x, we get:

tan x × cot x = (sin x / cos x) × (cos x / sin x) = 1

Now, multiplying this result by sin x cos x gives:

sin x cos x tan x cot x = sin x cos x × 1 = sin x cos x

Therefore, the correct equation is sin x cos x tan x cot x = sin x cos x, which means the correct answer is:

Amanda's penny bank is 23 full. After she removes 120 pennies, it is 12 full. How many pennies can Amanda's bank hold?

Answers

So if the bank was 2/3 full, and then after the pennies are removed it is 1/2 full, then the volume taken up by those removed pennies is the difference:
(2/3)-(1/2)=(4/6)-(3/6)=1/6

If there are 120 pennies in 1/6 of the bank's volume, then the total can be found by multiplying 120 by 6 (so that (1/6)*6=1 (the total volume))

120*6=720
You can fit 720 pennies in that bank

Please help me!!! I'm super confused

Answers

In this case, the original figure is the large triangle and the dilated figure is the smaller dashed triangle. As early as this stage, we can already set that the dilation is a reduction. We can now eliminate the last choice which says enlargement.

One way to know how much did the figure reduce is by finding the areas of the bigger and smaller triangle. The area of a triangle is equal to half of the product of the length of its base and its height.

Area of larger triangle= 0.5(6 units)(4 units) = 12 square units
Area of smaller triangle = 0.5(3 units)(2 units) = 3 square units.

The ratio of the areas would be 3/12 = 1/4. Therefore, the answer is the first choice.

Salvage system algebraically. Show all your work in circle your answers

Answers

Use substitution for x
2(y+2)+4y=-2
2y+4+4y=-2
6y+4=-2
6y=-6
y=-1

Plug the y value in to find x
x= (-1)+2
x=1

Final answer: (1,-1)

ABCDEFGHIJ is a regular decagon. Find the length of the apothem. Round the answer to the nearest tenth.

A.

8.0

B.
20.5

C.

24.7

D.

26.0

Answers

you find apothem with the formula [tex] \left[a = fn*S] [/tex]

fn is the fixed number (1,539) and S the side of the polygon.

a = 16*1,539 = 24,624 = 24,7

Answer C

Solution:(α=∫nₓS)Use this formula to find apothem

∫n is the fixed number (1,539) and S the side of the polygon.

a = 16 × 1,539 = 24,624 = 247

Answer: C 24.7

The mass of mercury is 330,200,000,000,000,000,000,000 kilograms. how can this number be written in scientific notation?

Answers

Final answer:

The mass of mercury, 330,200,000,000,000,000,000,000 kg, can be written in scientific notation as 3.302 × 10²⁰ kg. Scientific notation helps to express very large numbers in a more manageable form, using a coefficient between 1 and 10 multiplied by a power of ten.

Explanation:

To write the mass of mercury in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of ten. The mass given is 330,200,000,000,000,000,000,000 kilograms, which can be written as 3.302 × 10²⁰. Since there are 20 digits to the right of the first digit (3), the exponent in the scientific notation will be 20.

In scientific notation, the mass of mercury is thus written as 3.302 × 10²⁰ kg.

When converting to scientific notation, we use multiplication and division techniques to adjust the original number, so the resulting coefficient is a value from 1 up to, but not including, 10. This method is commonly used by scientists and astronomers when dealing with astronomical numbers, as in this case with the mass of a planet or in chemistry with the mass of an atom.

8. A brick oven has an opening as shown. What is the area of the entire opening?

A. 22.1 ft2
B. 20 ft2
C. 16.8 ft2
D. 13.5 ft2

Answers

As shown in the picture above, you are given an opening of the brick with a combination of a rectangle and a semicircle. To find the area of the total opening, you need to have the formula of the area of the rectangle and the semicircle.

A (rectangle) = LW
A (rectangle) = (4ft) (2.5ft)
A (rectangle) = 10 ft²

A (parabola) = 2/3ab
A (parabola) = 2/3 (1.25) (4ft)
A (parabola) = 5 (2/3)
A (parabola) = 3.33ft²

A (total area) = rectangle + parabola
A (total area) = 10 + 3.33
A (total area) = 13.33ft²

The answer is letter D.

Which number produces a rational number when added to 0.6?

A. 0.5050050005...
B. square root of 2
C. pie
D. 5/7 (fraction)

Answers

Your answer would be letter D

Answer:

Correct option is D.

Step-by-step explanation:

we have to choose the option for which number produces a rational number when added to 0.6

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or finite(infinite then repeating). If they aren't, then these are called irrational numbers.

Let's try each of the choices:

A. The term 0.5050050005... is irrational number. Now, when 0.6 is added to it, the sum would be irrational.

B. √2 is an irrational number because its exact value is 1.4142135.. Even if you add 0.3 to it, the answer would still be irrational

C. Obviously, π is an irrational number and addition of rational to irrational always results in irrational.

D. The term [tex]\frac{5}{7}[/tex] is a rational number. Now, when 0.6 or [tex]\frac{6}{10}[/tex] is added to it, the sum would be [tex]\frac{92}{70}[/tex] This is a rational number.

Therefore, the answer is D.

What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?

Answers

firstly we have to find d:
[tex]d = \frac{a_{n}-a_{m}}{n-m} [/tex] ⇒
[tex]d = \frac{-120-(-32)}{9-1} = \frac{-88}{8} = -11[/tex]
now, when we know d, we can find the 32nd term by using a following formula:
[tex]a_{n}=a_{1}+(n-1)*d[/tex]
[tex]a_{32} =-32+31*(-11) = -32-341 = -373[/tex]
the answer is [tex]a_{32} = -373[/tex]

Answer:

-373

Step-by-step explanation:

(

−

)

−

120

⇒

−

(

−

)

⇒

−

120

−

(

)

⇒

−

⇒

−

(

−

)

(

−

)

⇒

−

(

−

)

(

)

⇒

−

341

⇒

−

373

What is h(x) = –3x2 – 6x + 5 written in vertex form?
h(x) = –3(x + 1)2 + 2
h(x) = –3(x + 1)2 + 8
h(x) = –3(x – 3)2 – 4
h(x) = –3(x – 3)2 + 32

Answers

h=-3x^2-6x+5 subtract 5 from both sides

h-5=-3x^2-6x divide both sides by -3

(5-h)/3=x^2+2x halve the linear coefficient, square it, add it to both sides....

(2/2)^2=1 add 1 to both sides...

(5-h+3)/3=x^2+2x+1, now the right side is a perfect square...

(8-h)/3=(x+1)^2 multiply both sides by 3

8-h=3(x+1)^2 divide both sides by -1

h-8=-3(x+1)^2 add 8 to both sides

h=-3(x+1)^2+8

h(x)= -3(x+1)^2+8

Second answer down from the top :)

Answer:

its b

Step-by-step explanation:

I just did the assignment

A 33912 cubic feet
B 2260.8 cubic feet
C 54259.20 cubic feet
D 13564.8 cubic feet

Answers

volume of cylinder = pi x r^2 x height

using 3.14 for pi

volume = 3.14 x 12^2 x 30 = 13564.8 cubic feet

D is the correct answer

select all tht apply
If n-^2 = 1/16, then n could be which of the following?

-8
-4
-1/4
1/4
4

Answers

[tex] n^{-2}= \cfrac{1}{16} \\ \\ \cfrac{1}{n^2} = \cfrac{1}{16}; \ \ \ n \neq 0 \\ \\ n^2=16 \\ \\ n=б \sqrt{16} \\ \\n=б4[/tex]

What is the square root of 75 in simplified form?

Answers

√75 = 5√3

so yeah this is filler text

Answer:The answer is

5 3

Step-by-step explanation:

Yi's average for her first 3 tests is 88. what musit she score on her last test to bring her average up to 90

Answers

Her average now is 88.
She needs to bring it up to a 90.

Let's start with if she gets a 90.
88 + 90 = 178
178/2 = 89
A 90 would only get her an average of 89, so you need to go higher.

88 + 91 = 179
179/2 = 89.5

88 + 92 = 180
180/2 = 90

She must get at least a 92 to get an average of 90.

If vertex T' is at (2,-2) what are the coordinates of vertex s

Answers

wheres the grid????????

which of the following is an example of conditional probability.
A: probability of hitting a home run
B: Probability of getting an A on a test, given that you didn't fail the test
C: probability of drawing a club from a deck of 52 cards
D: probability of getting an A on a test

Answers

it would be b because first off it is different from all the others and it has probability of a given b

The example of conditional probability is Probability of getting an A on a test, given that you didn't fail the test.

What is conditional probability?

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

For Conditional probability, the event should be dependent events.

Also, the probability of an event and the condition is that the other event has already been occurred.

Here, in Probability of getting an A on a test, given that you didn't fail the test is example of conditional probability because " you didn't fail the test " already occurred and now find the probability of getting A.

Learn more about conditional probability here:

https://brainly.com/question/1523913

#SPJ5

Other Questions

Evaluate this exponential expression. (0.125)2/3 Which type of question best fits the purpose of an interview An open-ended question A yes or no question A background question A true or false question Dryden's essay is best described as What question does the adverb clause answer? I'll agree to your proposal because I have no other choice. A. when B. where C. how D. why E. under (on) what condition F. compare/contrast What is the primary social purpose for the rules and practices of the criminal justice system? Bill enters onto cindy's property to help dora, who is in danger. cindy charges bill with trespass to land. bill hasa. no defense.b. a partial defense.c. a complete defense.d. a possible defense. Provide 3 ways in which the government can ensure that the help it offers is received only by the people who are in need What european literary movement emphasized individual expression in art and individual rights in politics and directly influenced the flowering of the first significant american literature? How did the early west cause a cultural transformation in the United States What is the solution to this system of linear equations?x 3y = 2x + 3y = 16 What is the approximate measure of acute A when cosA=0.1045cosA=0.1045? Make sure your calculator is in degree mode. Round to the nearest degree. From which part of the boat should you lower the anchor line? how to calculate the volume of a equilateral triangular prism What was the primary topic of disagreement between mexican authorities and u.s. settlers in texas in the 1830s? What effect does "noise" have in the communication model? Earth Day will be celebrated in over one hundred countries across the world next week. Students of Pine Grove High can show their compassion for the Earth by leaving cars at home and electronics unplugged for the day. Even small gestures can make a big difference! The attendance boundaries for our school span a fifteen-mile radius, but designated drop zones have been established for Earth Day. You can carpool to the drop zones and walk the remaining distance to reduce energy consumption. Crossing guards and town police will ensure the event runs smoothly. There will be a welcoming party to celebrate walkers, and a local berry farm will be supplying fruit smoothies. The authors purpose of this speech is to _ is the process in planetary formation when heavy materials sink towards the plants center lighter material accumulate near its surface The united states has a greater number of pull factors than it has push factors, which is why it is the nation with the highest immigration rate. When a stalactite meets a stalagmite the result is a ________? As john buford tracks the confederate army, he stops to wave at a rebel officer. why would he greet an enemy in this way? Steam Workshop Downloader