1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vazorg [7]
3 years ago
7

Solve equation a+6a-9=30

Mathematics
1 answer:
joja [24]3 years ago
3 0
To solve any equation, we have to get the variables and the constants (numbers) on opposite sides of the equals sign.  

First, we have to combine the like terms on the left side of the equation, resulting in

7a - 9 = 30

Then, because we want the constants on the right side of the equation, we have to +9 to cancel out the -9 on the left side.

7a=39

Next, the a has a coefficient of 7, which it is multiplied by.  To undo multiplication, you have to divide.  Therefore, we should divide both sides by 7.

a= 5 4/7 or 5.57142857143

In improper fraction form, a = 39/7, as this fraction cannot be simplified any farther.
You might be interested in
Carly solved a quadratic equation by completing the square, but her work has errors. Identify the first error in Carly's work.
Savatey [412]

Answer:

Her first error was adding the wrong number to both sides. Instead of 4², it should be 2²

Step-by-step explanation:

When completing the square, the number that needs to be added to both sides is (b/2)²

In this problem, b is 4. So, Carly should have added 2² to both sides, but she added 4² instead.

So, her first error was adding 4² to both sides instead of 2²

8 0
3 years ago
Express in terms of logarithm without exponents
sdas [7]
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)
\\ \quad \\
% Logarithm of rationals
\\ \quad \\
% Logarithm of exponentials
log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\\\\
-----------------------------\\\\
log_b(xy^2z^{-6}\implies log_b(x)+log_b(y^2)+log_b(z^{-6})
\\\\\\log_b(x)+2log_b(y)-6log_b(z)

now, the one below that, which is equivalent to that? well, just look above it
6 0
3 years ago
What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to
olga_2 [115]

Answer:

\boxed{\text{51.71 cm}^{2}}

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}

Data:

θ = 49°

r = 11 cm

Calculation:

\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}

4 0
3 years ago
This is a point at which a graph intersects the x-axis.
alexandr402 [8]

Answer:

The point where the line crosses the x-axis is called the [x-intercept].

Step-by-step explanation:

7 0
3 years ago
Help please, Which expression does not belong? Explain your reasoning.
ZanzabumX [31]

Answer:

My best answer is option number 4.

Step-by-step explanation:

Because the first 3 answers follow a specific pattern in addition and division, i.e. they only go up to 4 different numbers, whereas with the 4th option, that changes. Not only that, but if you look closely, the 4th option adds 6 to itself 5 times, that's the same as 6x5, which equals 30, so if you divide 30 by 5, its almost pointless seeing as how you already know it's gonna get you 6.

4 0
3 years ago
Other questions:
  • I need immediate help, ignore the bottom part.
    9·1 answer
  • Tarzan is swimming east at 2.4 m/s across a river that is 1660 meters wide and
    8·1 answer
  • An equation for a line in the xy-plane allows you to find the value of y, given x.
    8·2 answers
  • How to solve v<br> 43.27×1.68
    11·1 answer
  • How many ounces are in a pounds
    14·2 answers
  • 6 to the power of 2 add y to the power of 2 is r to the power of 2. what is r and y?
    13·1 answer
  • I would appreciate the help, please!!!
    6·1 answer
  • Does anyone know the surface area of this pyramid?
    8·1 answer
  • We are in school 10 months out of the year. What percent of the year are we in school?
    5·2 answers
  • Factor 6y^2(y^2+6y+9) completely.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!