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
Komok [63]
4 years ago
15

17-5(2x-9)=-(-6x+10)+4

Mathematics
2 answers:
MrRa [10]4 years ago
3 0
17 - 5(2x - 9) = -(-6x + 10) + 4

On the right side of the equation, there is a negative sign infront of the parentheses. This means that you are multiplying the parentheses by -1.

17 - 5(2x - 9) = (6x -10) + 4

The 6x is positive because a negative times a negative is positive. The 10 is negative because a negative times a positive is a negative. Now, combine the like terms on the right side of the equation by adding -10 and 4 together.

17 - 5(2x - 9) = 6x - 6

Now that you have simplified the right side of the equation, move to the left side. Start with multiplying 5 times (2x - 9) using the distributive property.

17 - (10x - 45) = 6x - 6

After that, combine the like terms by subtracting -45 from 17. Because you would be doing 17 - -45, you would change all signs because when you subtract with negatives, you have to change the signs. Due to the change of the signs, you are just adding 17 and 45 together.

62 + 10x = 6x - 6

Now, you need to get the x's on one side and the whole numbers on the other side. Begin by subtracting 6x from both sides.

62 + 10x = 6x - 6
         -6x    -6x
62 + 4x = -6

Now, subtract 62 from negative 6. Remember to change the signs. You will end up with -6 + -62.

4x = -68

Finally, divide both sides by 4.
<u>4x</u> = <u>-68
</u>4        4
x = 17

Final Answer: x = -17














zhannawk [14.2K]4 years ago
3 0

Answer:

17-5[2x-9]=-[6x+10]+4

You might be interested in
A fruit bowl contains 3 apples, 2 bananas, and 5 pears. What is the ratio of pears to apples?
algol [13]
The ratio of pears to apples is 5:3
6 0
3 years ago
Read 2 more answers
What is the equation of a circle centered at the origin with radius 20?
Colt1911 [192]
We know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where 
(h,k)-----> is the center
r--------> is the radius

is the center is the point (0,0) and radius  r=20
then
(h,k) is (0,0)

(x-0)²+(y-0)²=20²---------> (x)²+(y)²=400


the answer is
the option D.)  x2 + y2 = 400
3 0
3 years ago
The diagram shows corresponding lengths in two similar figures. Find the ratio of the perimeters and the ratio of the areas.
GREYUIT [131]

15:20

divide each by 5

3:4

to find the ratio of the area's we square the ratio's of the sides

3^3 : 4^2

9:16


Choice B

7 0
3 years ago
What is the solution to the system of equations?
MariettaO [177]

Answer:

x=-4 y=-1

Step-by-step explanation:

Let's solve your system by substitution.

−3x−8y=20;y=5x+19

Rewrite equations:

y=5x+19;−3x−8y=20

Step: Solve y=5x+19for y:

y=5x+19

Step: Substitute5x+19foryin−3x−8y=20:

−3x−8y=20

−3x−8(5x+19)=20

−43x−152=20(Simplify both sides of the equation)

−43x−152+152=20+152(Add 152 to both sides)

−43x=172

−43x

−43

=

172

−43

(Divide both sides by -43)

x=−4

Step: Substitute−4forxiny=5x+19:

y=5x+19

y=(5)(−4)+19

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

 

7 0
3 years ago
The 2 ft side length of the scale drawing corresponds to a side length of 120 feet for the actual skate park. What is the scale
SOVA2 [1]

Answer:

The scale factor is \frac{1}{60}

Step-by-step explanation:

we know that

The scale factor is equal to the ratio between the side length of the scale drawing to the corresponding side length in the actual

so

\frac{2}{120}=\frac{1}{60}

5 0
3 years ago
Read 2 more answers
Other questions:
  • James currently has $215 in a savings account. Every month, he deposits an additional $45 into his account. James had to replace
    6·1 answer
  • if the breadth of rectangle in one third of its length and perimeter is 80 cm find length and breadth of rectangle​
    10·1 answer
  • An automobile manufacturer is concerned about the possibility of a fault in the engine of a particular model of one of its cars.
    13·1 answer
  • Markup rate is 15% and markup is $18<br> What is the cost and retail price?
    10·1 answer
  • On a trip over Thanksgiving Break Jenn's family has to drive a total of 325 miles.. If there are 126 miles to go and the car has
    7·1 answer
  • A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
    6·1 answer
  • On a coordinate grid, an island is located at (1,6). Another island is located at (4,9). What is the distance between the island
    5·1 answer
  • Darren has a wooden board that is Three-fifths of a meter long. He cuts the board into 3 equal parts. How long is each section o
    11·1 answer
  • Chad is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner,
    7·1 answer
  • there are 11 members on a board of directors.if they must firm a subcommittee of 5 members how many different subcommittees are
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!