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
Alex17521 [72]
2 years ago
12

Consider the sequence of steps to solve the equation:

Mathematics
1 answer:
pav-90 [236]2 years ago
4 0

Answer:

Division Property of Equality

Step-by-step explanation:

→In Step 4, it is shown that the equation is:

3x = 30

→However, to solve for x, you must get it by itself. This means you need to get rid of the 3 that's being multiplied. So since the 3 is being multiplied to x, you must do the opposite of multiplication, which is division.

→As you can see, the total of 30 is decreased in Step 5, since it has been divided by 3, giving you a total of 10.

This shows that the property of equality that yields Step 5 is the <u>Division Property of Equality.</u>

You might be interested in
Find the equation,in standard form, of the line passing through the point (2,-3) and (4,2)
VLD [36.1K]

The standard form:

Ax+By=C

The point-slope form:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, -3) and (4, 2). Substitute:

m=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}

y-(-3)=\dfrac{5}{2}(x-2)

y+3=\dfrac{5}{2}(x-2)       <em>use distributive property</em>

y+3=\dfrac{5}{2}x-5            <em>multiply both sides by 2</em>

2y+6=5x-10                     <em>subtract 6 from both sides</em>

2y=5x-16         <em>subtract 5x from both sides</em>

-5x+2y=-16          <em>change the signs</em>

\boxed{5x-2y=16}

8 0
2 years ago
Read 2 more answers
There are three numbers. The first number is twice the second number. The third number is twice the first number. The sum of the
mel-nik [20]

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x  Divide both sides by 3

y = \frac{112 - 2x}{3}

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( \frac{112 - 2x}{3} )

x = (224 - 4x) / 3    Multiply each side by 3.

3x = 224 - 4x         Add 4x to each side

3x + 4x = 224

7x = 224              Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112       Subtract 96 from each side.

y = 112 - 96

y = 16

5 0
3 years ago
Read 2 more answers
I need help fast !!!
Volgvan
The answer is D, that is negative
6 0
3 years ago
Read 2 more answers
M∠=6, m∠=+20, and m∠=40+3. List the sides of △ in order from shortest to longest.
oksian1 [2.3K]

Answer:

m∠=6, ,m∠=+20,m∠=40+3

the larger the angle, the larger the side

7 0
2 years ago
Help help help<br> ....................
vazorg [7]

Answer:

77

Step-by-step explanation:

There are 415 third graders and 338 second grades the question is asking how many more third graders are there than second graders, so its asking for the difference between them:

415 - 338 = 77

There are 77 more third graders than second graders

5 0
2 years ago
Other questions:
  • What is the retail price of the couch?
    11·2 answers
  • True or false the area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then takin
    5·2 answers
  • Ml
    5·1 answer
  • Which of the following equations is equivalent to the formula for velocity
    12·1 answer
  • What is the product? x^2-16/2x+8 times x^3-2x^2+x/x^2+3x-4
    14·2 answers
  • a calculator costs 12.99. if its on sale for 20% off and sales tax is 6.25% what is the final cost of the calculator?
    12·2 answers
  • A girl is 18 years old and her brother is a third of her age. When the girl is 36 what would be the age of the brother?
    10·2 answers
  • Abc is a triangle
    6·1 answer
  • ANYONE GOOD AT MATH CAN PLEASE HELP ME???
    5·2 answers
  • P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!