Solve for a

[[tex] \frac{a+2}{3} = \frac{a-4}{6} [/tex]

Answers

Answer 1

[tex] \frac{a + 2}{3} = \frac{a - 4}{6} \\ 6(a + 2) = 3(a - 4) \\ 6a + 12 = 3a - 12 \\ 3a = - 24 \\ a = - 8[/tex]

Related Questions

what is equivelent to 4.05 repeating

Answers

[tex]x=4.\overline{05}\\\\x=4.050505...\qquad|\cdot100\\\\100x=405.050505...\\\\100x-x=405.050505...-4.050505...\\\\99x=401\qquad|:99\\\\x=\dfrac{401}{99}[/tex]

Whats the answer to 47+4x<7

Answers

Isolate the x. Treat the less than sign as equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 47 from both sides

4x + 47 (-47) < 7 (-47)

4x < -40

Next, divide 4 from both sides

(4x)/4 < (-40)/4

x < -40/4

x < -10

x < -10 is your answer

hope this helps

Which temperature is between 12 Celsius and -10 Celsius?

Answers

The difference between 12 Celsius and -10 Celsius is 22 degrees.

There are 20 different, whole number, specific degrees between 12 and -10 Celsius.

Graph y - 2 = -3/4 (x - 6) using the point and slope given in the equation.

Answers

Final answer:

To graph the equation, use the given slope and point to plot two points and draw a line through them.

Explanation:

To graph the equation y - 2 = -3/4 (x - 6) using the given point and slope, we can follow these steps:

First, identify the slope, which is -3/4. The slope represents the rate of change of y with respect to x. In this case, for every 4 units increase in x, y will decrease by 3 units.Next, identify the given point (6, 2). This point is on the graph and will help us plot the line.Using the slope and the given point, you can plot a second point and connect the two points to draw the line.Start with the given point (6, 2) and move 4 units to the right and 3 units down to plot the second point (10, -1).Finally, draw a line through the two plotted points to represent the graph of the equation.

Multiply.

4.9 X 6.7

Enter your answer in the box.

Answers

The answer would be 32.83

32.83 because using a calculator, you punch in numbers 4.9 and 6.7 together. Then, you press the equal sign to get 32.83


Graph the relation. Is the relation a function? Why or why not? {(–1, 1), (–2, 1), (–2, 2), (0, 2)} Yes; there is only one domain value for each range value. No; a domain value has two range values. Yes; there is only one range value for each domain value. No; a range value has two domain values.

Answers

{(–1, 1), (–2, 1), (–2, 2), (0, 2)}

In a function, each input has an output

Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.

Here domain is {-1, -2, -2, 0}

Range is { 1, 1, 2, 2}

Domain -2 is repeating so this relation is not a function

Answer : No; a domain value has two range values.


What’s the product of 0.54(8)

Answers

To find the product of 0.54 and 8, multiply the two numbers together. The product is 4.32.

to calculate the product of 0.54 and 8:

Start by multiplying the whole numbers:

8 * 0 = 0

Next, multiply 8 by the decimal, 0.54:

8 * 0.54 = 4.32

So, you first calculate the product of the whole numbers (8 * 0 = 0), and then you calculate the product of the decimal and the whole number (8 * 0.54 = 4.32).

When you add these results together, you get the final product, which is 4.32.

Learn more about multiplication here:

https://brainly.com/question/5992872

#SPJ3

if f(x) = 2x^2 - 3x + 4, then f(x + 3) is equal to

Answers

f(x + 3) = 2x² + 9x + 13

substitute x = x + 3 into f(x)

f(x + 3) = 2(x + 3)² - 3(x + 3) + 4 = 2(x² + 6x + 9) - 3x - 9 + 4

f(x + 3 ) = 2x² + 12x + 18 - 3x - 9 + 4 = 2x² + 9x + 13



on Monday joe bought 10 cups of coffee and 5 doughnuts for his his office at the cost of $16.50. It turns out that the doughnuts were more popular than the office. On Tuesday he bough 5 cups of coffee and 10 doughnuts for a total of 14.25. How much was each cup of coffee

Answers

X= be coffee

Y=be donuts


Set up equations


10x+5y=16.50

5x+10y=14.25


Now multiply first equation by -2 to get a negative


(-2)10x+5y(-2)=16.50(-2)


-20x-10y=-33


Now put both equations to solve for x


-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75


Now divide -15 bith sides to get x alone


X= -18.75/-15


X= 1.25



The cost of each coffee cup$1.25



The cost of each coffee cup will be equal to $1.25.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that on Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the office. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25.

The cost will be calculated by forming linear expressions below,

X= be coffee

Y=be doughnuts

The equations can be written as,

10x+5y=16.50

5x+10y=14.25

Now multiply the first equation by -2 to get a negative.

(-2)10x+5y(-2)=16.50(-2)

-20x-10y=-33

Now put both equations to solve for x

-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75

Now divide -15 on both sides to get x alone,

X= -18.75/-15

X= $1.25

To know more about an expression follow

https://brainly.com/question/29144146

#SPJ3

What is the solution for the equation 6x − 8 = 4x

Answers

Your answer would be x=4.


6x-8=4x

sub 6x from both sides

-8=-2x

divide by -2 both sides

x=4

Hope This Helps!!!

Evaluate the square root

Answers

The answer would be 9/5

Root 81 =9

Root 25 =5

Find a rational number that is between 5.2 and 5.5. Explain why it is rational.

Answers

One of the rational numbers that is between 5.2 and 5.5 is 5.3.This is rational because this may be expressed as ratio of 53 and 10.

Answer:

5.3

Step-by-step explanation:

One rational number can be 5.3

It is rational because it has terminating decimal expansion

I need to prove my sister wrong pleas help.

Answers

your answer will be 2.4
[tex]3.8 - 1.4 = 2.4[/tex]

Each piece of butter is 0.4 ounces

14g>56 how do you solve this

Answers

Hey there! Firstly, [tex]divide[/tex] by [tex]14[/tex] on each of your sides (since [tex]division[/tex] is the [tex]OPPOSITE[/tex] of [tex]multiplication[/tex]) [tex]\frac{14g}{14}[/tex] [tex]=[/tex] [tex]\frac{56}{14}[/tex]Cancel out: [tex]\frac{14g}{14}[/tex] because it gives you the result of  [tex]1[/tex]Keep: [tex]\frac{56}{14}[/tex] because this give you the result of what goes on the other side of the [tex]greater[/tex] [tex]than[/tex] sign ( [tex]>[/tex]) [tex]\frac{56}{14}[/tex] [tex]= 4[/tex]Therefore, your answer should look like this: [tex]x>4[/tex]By the way! its a opened [tex]circle[/tex] shaded to the [tex]right[/tex]Good luck on your assignment and enjoy your day! ~[tex]LoveYouselfFirst:)[/tex]

In 5 years, a bank account with a 4.5% annual interest rate earned $3,375 as simple interest. What was the principal amount of the account.

Answers

Answer:

$375.00

Step-by-step explanation:


Answer: $15000

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.

Given: Interest amount = $3,375

Rate of interest = 4.5%=0.045

Time period = 5 years

Let P be the principal amount, then we have

[tex]3375=P\times 0.045\times 5\\\\\Rightarrow\ P=\dfrac{3375}{0.045\times 5}=15000[/tex]

Hence, the principal amount of the account was $15000.

the point slope form of the equation of the line that passes through (-4 -3) and (12, 1) is y - 1 = 1/4 (x - 12). what is the standard form of the equation for this line?

Answers

Standard Form is ...

ax + by = c

where a ≥ 0, b > 0 (if a=0), and {a, b, c} are mutually prime integers (unless irrational numbers are involved).

You can get there from where you're starting in a couple of steps. Multiply by the least common denominator of any fractions. (Here, you multiply by 4.) Then put the variable terms on the opposite side from the constant term. Make sure the leading coefficient is positive.

... 4y -4 = x -12

... x -4y = 8 . . . . add 12-4y

Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilometer from the station. In kilometers, what is the approximate distance between the station and the balloon?
(a) 3.0
(b) 3.9
(c) 4.1
(d) 5.3

Answers

Answer:

(c) 4.1 km

Explanation:

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

where:

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

To get the length of the hypotenuse, we will use the Pythagorean theorem

[tex]hypotenuse = +\sqrt{(side1)^2 + (side2)^2}[/tex]

Substitute with the givens:

[tex]hypotenuse = +\sqrt{(4)^2 + (1)^2}[/tex] = √17 ≈ 4.1 km

Hope this helps :)


Takala put 9 marbles in the box, jackie put in 7, and laird put in 11. Then they divided the marbles evenly among themselves. How many did each person get?

Answers

Answer:

The correct answer is 9.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Takala put 9 marbles in the box, jackie put in 7, and laird put in 11.

Before continuing, the most convenient is to add these three things:

9 + 7 + 11 = 27.

We now know that those 27 were divided equally to each other, that is 27: 3.

So we just have to divide:

27: 3 = 9

In this way we can verify that each person obtained 9.

the difference of two numbers is 28 find both numbers if the larger is four more than three times the smaller

Answers

Let x = the smaller number.

Let 4+3x = the larger number.


So, 28 = 4+3x - x

24 = 2x

x = 12.


The smaller number is 12, now we need to find the larger number,

4+3(12)

40

So, the numbers are 12 and 40.

Final answer:

The equation can be solved by setting up two equations based on the information given, and then substitifying and simplifying the equations to solve for the two numbers. The two numbers are 12 and 40.

Explanation:

The subject of this question is dealing with equations in mathematics. To problem-solve this, we can first form an equation based on the information given: The larger number is equal to 'four more than three times the smaller number' and 'the difference between the two numbers is 28'.

So we can set up two equations:

Larger Number (L) = 3* Smaller Number (S) + 4 Larger Number (L) - Smaller Number (S) = 28

By substituting the first equation into the second, it resolves as:

3S + 4 - S = 28

which simplifies to:

2S = 24

So, the smaller number S = 24/2 = 12. Substituting S = 12 into the first equation gives:

L = 3*12 + 4 = 36 + 4 = 40

So the two numbers are 12 and 40.

Learn more about Solving equations here:

https://brainly.com/question/18322830

#SPJ2

In a sample of 600 patients, 500 said they were fully satisfied with their treatment plan. If there are 30,000 patients, how many patients can we expect to say they are fully satisfied?In a sample of 600 patients, 500 said they were fully satisfied with their treatment plan. If there are 30,000 patients, how many patients can we expect to say they are fully satisfied?

Answers

Answer: Hence, 25000 patients are fully satisfied with their treatment plan .

Step-by-step explanation:

In a sample of 600 patients , there are 500 patients who were fully satisfied with their treatment plan.

So fraction is given by

[tex]\frac{500}{600}=\frac{5}{6}[/tex]

Now, if we have 30,000 patients ,

then ,the number of patients who were fully satisfied is given by

[tex]\frac{5}{6}\times 30000\\\\=\frac{150000}{6}\\\\=25000[/tex]

Hence, 25000 patients are fully satisfied with their treatment plan .

I put this into my calculator but it keeps coming out as "error" :/ not sure if it's just my calculator or something with the problem

Answers

your calculator says error because you cant have a square root of a negative number because there is no solution to that maybe recheck your equation and try again

How can you put 32.3 as a mixed number in the simplest form

Answers

32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is [tex]32\frac{3}{10}[/tex] , here 32 is the whole number  and [tex]\frac{3}{10}[/tex] is the fraction part.

[tex]\frac{3}{10}[/tex] is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is [tex]32\frac{3}{10}[/tex].

Is 2x/3 the same as (2/3)x ? Just wondering

Answers

the best way to understand is putting a number in place of x and seeing if they are equal to eachother so just to make it simple i'll make x=6

so your first equation is 2(6)/3 =12/3=4 now the other equation would be (2/3)6 = 6

i actually solved it putting 2 in place of x and got the same answer for both so i think they're the same

Honestly i dont think so because in 2x/3 its 2 times x divided by 3 while in the other problem you divide 2/3 then multiply the answer by x! So even though that may work sometimes always double check!!!

Pls explain for each answer you pick pls

Answers

all except the third selection are 0.

-12+12= 0
8+(-8)=0
-5+-5= -10
-20+20=0
-2,000+2,000=0

follow the the rules of integers

So here is how it would go

-12+12 = 08+(-8) = 0-5+-5 = -10-20+20 = 0-2000+2000 = 0

Find two numbers a and b whose sum a+b is -5 and whose difference a−b is 1.
Your answer is
a= ____
b= ____

Answers

The answer for a would be -2 and for b it would be -3. If you added both -2 and -3 together, you would get a sum of -5, and when for the other equation, the negative in front of b will cancel out the negative in front of -3, making it 3, and when you subtract -2 and 3, you'll end up with a difference of 1. a= -2  b= -3

Nancy drove from New York to Boston, a distance of 1144.97 km. She drove with a friend for the first 711.5 km, and then by herself for the remaining distance. How far did Nancy drive by herself? A. 433.47 km B. 333.47 km C. 1855.47 km D. 1856.47 km

PLEASE ANSWER
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!

Answers

Answer for this one would be option A

if you know two points on a line, how can you find the right the rate of change of the variables being graphed?

Answers

The rate of change is the slope of a line.  The slope of the line can be calculated using the formula [tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex].  To find the slope of a line using this formula, it is necessary to know two of the points on the line.

What kind of triangle would the measurements 7ft 15ft 17ft

Answers

Answer:

This is an Obtuse triangle.

Step-by-step explanation:

A Equilateral Triangle is a triangle where all sides are equal. Here all sides are different so it is not an Equilateral Triangle.

Isosceles triangle is a triangle that has 2 sides that are equal. Here all sides are different therefore this is not an Isosceles triangle.

A right angled triangle is a triangle whose sides satisfy the following equality.

Lets say A triangle has sides a, b and c. Where c is the highest value.

Then, [tex]a^{2} +b^{2} =c^{2}[/tex]

Lets substitute the values to the above equation to see whether it the triangle we are given satisfies the above equality,

[tex]7^{2} +15^{2}[/tex] = [tex]49+225[/tex]=[tex]274[/tex]

[tex]17^{2} =289[/tex]

Therefore, [tex]7^{2} +15^{2}[/tex] ≠[tex]17^{2}

So it is not a Right Angled Triangle.

If the sum of squares of the shorter sides is greater than the square of the longer side then it is an Acute angle if not it is an obtuse angle.

[tex]7^{2} +15^{2}[/tex] = [tex]274[/tex]≤[tex]17^{2} =289[/tex]

Therefore, This is an Obtuse triangle.

Which equation has the least steep graph?

A. Y = 4 x - 3
B. Y = -3/4x + 5
C. Y = -10x - 8
D. Y = 1/2x + 2

Answers

The answer to your question is D.
Answer:

Option: D is the correct answer.

               D)       [tex]y=\dfrac{1}{2}x+2[/tex]

Step-by-step explanation:

A line is said to be steepest if the modulus of the slope is greatest and it is least steep if the modulus of the slope i.e. |m| is least.

We know that the slope intercept form of a line is given by:

[tex]y=mx+c[/tex]

where m is the slope of the line and c is the y-intercept of the line.

A)

[tex]y=4x-3[/tex]

The slope of line is: 4

i.e. m=4

and |m|=4

B)

[tex]y=\dfrac{-3}{4}x+5[/tex]

the modulus of slope is:

[tex]|m|=\dfrac{3}{4}=0.75[/tex]

C)

[tex]y=-10x-8[/tex]

The modulus of slope of line is:

[tex]|m|=10[/tex]

D)

[tex]y=\dfrac{1}{2}x+2[/tex]

The slope of the line is:

[tex]|m|=\dfrac{1}{2}=0.5[/tex]

The modulus of slope of line in options D is smallest.

Hence, the line in option: D is least steep.

please help with these two questions!! thank you so much :)

Answers

1) Width=4.7 2) Length=18.4
Other Questions
Write a function rule for the area of a rectangle whose length is 7 ft more than its width. What is the area of the rectangle when its width is 7ft?Write a function for the area A of the rectangle using the independent variable width W.A= ?PLZ PROVIDE GOOD ANSWER WITH HOW YOU SOLVED IT how did the 17th amendment make the selection of the united states senators more democratic How did Japan become the most powerful nation in Asia? Japan doubled its territory in Asia. Japans economy followed the USs example. Japan adopted Western military technologies and training methods. Japans government made extremely wise alliances. Whenever anthony goes out of town, the neighbors take care of his cat. Which is thepronoun a faucet drips 2\3 gallons of water in 10 hours. what is the unit rate of water dripped per day Which expression is the completely factored form of x664y3 ? Which phrase best completes the sentence?A Antonio ________ (likes) los helados.A.le encantaB.le encantanC.le gustaD.le gustan Which statement most accurately summarizes the text Define a variable and write and inequality for the statement: In order to earn credit for your Algebra 1A course, you must earn at least 70%. What is 8,01.47 in word form? Given that x and y vary directly, write the equation relating x and y if x = 3 when y=24. A.y=8x B.xy=8 C.y= 8/x D.y= x/8 What is the interquartile range of this data set? 5,5,6,7,9,11,14,17,21,23A. 7B. 9C. 11D.13 The children sold lemonade in the streets last summer. Los nios vendi limonada en la calle el verano pasado. Los nios vendieron limonada en la calle el verano pasado. Los nios vendimos limonada en la calle el verano pasado. Los nios vendiste limonada en la calle el verano pasado. The movement of Earth's lithosphere is caused by convection within the_____(crust, core,mantle) layer of the earth. A city library has 811 nonfition books they want to divided the books on a shelf by 79 each For the following figure, complete the statement for the specified points.Point A, B, and Q are _____.collinearcoplanarboth collinear and coplanarneither collinear nor coplanar Which of the following are state of being verbs?A) WasB)AreC) IsD) All of the above Can someone help me with this questions please? What is the fraction in simplest form?14/16 Write the equation of the line, given the y and x-intercepts. x-intercept = 6, y-intercept = 8