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
Is the following relation a function? (1 point)
Margarita [4]

If there are no repeating x values and an x value only goes to <em>one</em><em> </em>y value, then yes, it is a function.

3 0
3 years ago
Read 2 more answers
What would be the order?
Oduvanchick [21]

Answer:

<em>17/2, 8.8 with bar on right 8, |-9|, sqrt(82)</em>

Step-by-step explanation:

sqrt(82) = 9.05538...

17/2 = 8.5

8.8 with bar on right 8 = 8.8888888...

|-9| = 9

In order from least to greatest: 17/2, 8.8 with bar on right 8, |-9|, sqrt(82)

3 0
3 years ago
Write two different ratios equal to 6 : 18.
Naya [18.7K]
8:24 9:27 are some equal solutions. 
8 0
3 years ago
Simplify 3(2x + 5) <br> A. 6x + 30 <br> B.6x + 15<br> C. 6x + 5
Nana76 [90]

3(2x/5)  

Final result :

 6x

 ——

 5  

Step by step solution :

Step  1  :

           x

Simplify   —

           5

Equation at the end of step  1  :

          x

 3 • (2 • —)

          5

Step  2  :

Final result :

 6x

 ——

 5

5 0
3 years ago
Read 2 more answers
Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t
amm1812

Answer:

<u>Benjamin's rate in mph was 6.44</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

  • Rate or speed of Adam = 6 mph
  • Ten minutes later, Benjamin started to run from city B towards city A
  • Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

<u>Rate = 6.44 mph (rounding to the next hundredth)</u>

5 0
3 years ago
Other questions:
  • Show that B = {[a, b) ⊂ ℝ | a &lt; b} is a basis for a topology on ℝ
    8·1 answer
  • Clay wrote three checks for $35 each from his checking account, withdrew $100 and made a deposit of $96. What was the change in
    13·1 answer
  • John has 13 boxes of apples. Each box holds 6 apples. If 7 of the boxes are full, and 6 of the boxes are half full, how many app
    11·1 answer
  • Please help me solve this!!
    8·1 answer
  • Phillis is making punch. She needs 6 pints of lemonade. How many quarts of lemonade does she need?
    7·1 answer
  • If Jaime wants to find 60% of 320, which table should he use?
    14·2 answers
  • Help! I need a=? And r=?% if I don't get my grade up I can't star drivers ed
    8·1 answer
  • Which shows the decimal 0.16 expressed as a fraction in simplest form?
    7·1 answer
  • Jamiyah and Samantha went to a grocery store and purchased a bag of 22 apples. Let x represent the Jamiyah’s portion of the appl
    9·1 answer
  • Triangle IJK is similar to triangle LMN. Find the measure of side LM. Round your answer to the nearest tenth if necessary.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!