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
alexgriva [62]
3 years ago
14

Twice the opposite of a number is increased by 5 and this sum is multiplied by 2. The result is 22 greater than the number. What

is the number?
Mathematics
1 answer:
Kitty [74]3 years ago
8 0
Okay so lets look at what it says.

Opposite in the case of math almost always means negative.  So (2(-n)+5)*2.  This can be simplified to (-2n+5)*2 = 22 + n

Again, simplify it and its -4n+10 = 22 + n

Subtract 10 from both sides and its -4n = 12 + n

Add 4n to both sides and you get 0 = 12 + 5n

Subtract 12 from both sides and its 5n = -12.

Divided both sides by five and you have n = -12/5
You might be interested in
What is thirty two percent of fifty six
mojhsa [17]

Answer: 17.92

Step-by-step explanation:

32% of 56  

Change to fraction

32 /100 x 56

Change to decimal

0.32 x 56

= 17.92

5 0
3 years ago
London bought snacks for her team's practice. She bought a bag of apples for $2.25
lozanna [386]

Answer:

j = $7.38 / 18

Step-by-step explanation:

1. We have to find the total cost of a 18 juice bottles pack

= $ 9.63 - $ 2.25

= $ 7.38

2. To find how much each bottle of juice costs :

j = $ 7.38 / 18 #

3 0
3 years ago
Look at the system of equations below.
Annette [7]

Answer:

Substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen. Therefore, elimination is the suitable method for solving this system.

Step-by-step explanation:

Let us consider the system of equation below.

4x-5y=3

3x+5y=13

Elimination method sounds the most appropriate option to solve the given system of equations as we can easily sort out an equation in one variable x in minimal steps by just adding the both equations as the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation, and we can determine an equation in one variable x.

Adding both equations will eliminate the y-variable and we can easily sort out the value of x from the resulting equation.

As the given system of equation

4x-5y=3......[1]

3x+5y=13......[2]

Adding Equation 1 and Equation 2

4x-5y+3x+5y=3+13

7x=16

x=\frac{16}{7}

Putting x=\frac{16}{7} in Equation [1]

4x-5y=3......[1]

y=\frac{43}{35}

Although substitution or graphing methods can also be used to bring the solution of the given system of equations, but using substitution or graphing method can be sometimes cumbersome or time-consuming as it would have to take some additional steps to solve the system.

For example, if we would have to use the substitution methods to solve the given system of equations, first we would have to solve one of the equations by choosing one of the equation for one of the chosen variables and then putting this back into the other equation, and solve for the other, and then back-solving for the first variable.

As the given system of equation

4x-5y=3......[1]

3x+5y=13......[2]

Solving the equation 2 for x variable

3x=13-5y

x=\frac{13-5y}{3}

Plugging x=\frac{13-5y}{3} in equation [1]

4(\frac{13-5y}{3}) -5y=3

y = \frac{43}{35}

Putting y = \frac{43}{35} in Equation 2

3x+5y=13......[2]

x = \frac{16}{7}

So, you can figure out, we have to make additional steps when we use substitution method to solve this system of equations.

Similarly, using graphing method, it would take a certain time before we identify the solution of the system.

Hence, from all the discussion and analysis we did, we can safely say that substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen.

Therefore, we agree with the student argument that Elimination is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation.

Keywords: substitution method, system of equations, elimination method

Lear more about elimination method of solving the system of equation from brainly.com/question/12938655

#learnwithBrainly

4 0
3 years ago
Show how to use known facts to find 6x9. Explain how you chose the facts you did
antoniya [11.8K]
<span>The x in this problem represents multiplication, or finding the product of the two numbers. In this case, this problem represents six multiplied nine times, or adding the number six nine times. So the number six added to the number six a total of nine times is fifty-four.</span>
7 0
3 years ago
NEED HELP ASAP WILL GIVE BRAINLY AWARD
larisa [96]

To find the area of the larger figure, let's multiply the length by the width.

9 ft * 4 ft = 36ft^2

Let's do the same thing with the smaller figure.

3 ft * 4 ft = 12ft^2

Let's add the area of both figures together.

36ft^2 + 12ft^2 = 48ft^2

7 0
3 years ago
Other questions:
  • The prices for a loaf of bread and a gallon of milk for two supermarkets are shown below. Sue needs to buy bread and milk for he
    7·1 answer
  • 80=-8a please I need the answer
    8·1 answer
  • Simplify (4x) - mn - 15 -2.
    6·1 answer
  • Disproof by counter example: For all positive integers x: 1/x &lt; 1
    14·1 answer
  • Solve 2(2 - x) less than or equal to -3x - 2 for x
    11·2 answers
  • What is the probability of rolling an odd or non-prime number using a 12-sided die?
    6·1 answer
  • The area of the playground is one and a half times the swimming pool
    15·1 answer
  • Chip collected 1,126 dimes. Sue collected 874 dimes. They divided all their dimes into 5 equal stacks.
    13·1 answer
  • (b) Solve and write the solution set<br>for: 3x -8&lt;7 ; XEN<br>​
    12·1 answer
  • The sum of two numbers is -17. Their difference is 41. Find the numbers
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!