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
Veronika [31]
3 years ago
10

Negative 5 is fewer than 6 less than a number k

Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:

k > 1 is the solution.

Step-by-step explanation:

We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.

Then this is a linear inequality of single variable k and we have to solve it.

Now, we have

- 5 < k - 6

⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}

⇒ 1 < k

⇒ k > 1

This is the solution of the given inequality. (Answer)

You might be interested in
You have 14 coins that are nickles and quarters that equals 2 dollars how do you solve using substitution?
sergejj [24]

Answer:

The question is incorrect but if half nickels and quarters exist then you could say the answer is 7.5 nickels and 6.5 quarters.

The problem:

14 coins that are either nickels are quarters

The total dollar amount of these coins is 2 dollars

Step-by-step explanation:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

I'm going to choose to solve the system by elimination.

Multiplying the first equation by .25 gives:

.25n+.25q=.25(14)

.25n+.25q=3.5

So let's line the equations up now:

.25n+.25q=3.5

.05n+.25q=2

---------------------If we subtract the equations, the variable q will be eliminated.                Thus, we will able to solve for the variable n.

.20n+0q=1.5

.20n=1.5

Dividing both sides by .2 gives:

n=7.5

If n=7.5 and n+q=14, then we have 7.5+q=14 by substitution property.

We can subtract 7.5 on both sides giving us:

q=14-7.5=6.5

We cannot have 7.5 nickels and 6.5 quarters but this satisfies the given information.

Check:

7.5+6.5=(7+6)+(.5+.5)=13+1=14

7.5(.05)+6.5(.25)=2

Now, the requested way which is by substitution:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

We can solve the first equation for either n or q and then substitute that into the other equation allowing us to solve for the other variable.

Let's solve for q by subtraction n on both sides:

q=14-n

We are going to replace q in the second equation with (14-n) giving us:

.05n+.25(14-n)=2

Distribute:

.05n+3.5-.25n=2

Combine like terms:

-0.2n+3.5=2

Subtract 3.5 on both sides:

-0.2n=-1.5

Divide both sides by -0.2:

n=7.5

Since q=14-n and n=7.5, then q=14-7.5=6.5 .

We are already check the solution above.

8 0
3 years ago
Hi can anyone help me please???? thank you!
SCORPION-xisa [38]
The answer is C, because t shows time when you plug in a number for t the output will be the distance walked in that time. the first 0.5 hours (aka D(0.5) ) he walked is less than the second 0.5 (aka D(1) - D(0.5) ).
3 0
3 years ago
Read 2 more answers
Which segment is a diameter?
Marianna [84]
Both FI and GJ are diameters.
7 0
3 years ago
Hello! I have an algebra 1 dba tomorrow (flvs). I am just a little nervous and want to be a little more prepared. Does anybody k
alexgriva [62]

Answer:

Step-by-step explanation:

Giving out answers for a free test is something wrong but something I can help is to go review or I can help you review because algebra 1 is one easy of  a topic when you really hook yourself to it.

8 0
3 years ago
Read 2 more answers
If A = 3r^2h^2, and (rh) increases by 100%, then the new A is how many times greater than the old A? PLEASE HELP ME!!! (Specify
Maslowich

Answer: the answer is 3

Step-by-step explanation:

An increase of 100% in the value of (rh) means the value doubles. When that doubled value is squared, the new area is 4 times the old area.The question asks how many times GREATER the new A is than the old A. 4 times AS LARGE AS is a 300% INCREASE, which is 3 TIMES LARGER THAN.So the grammatically correct answer is 3 

3 0
2 years ago
Other questions:
  • Your cups hold 0.25-liters of water plus you drank a 0.750-liter bottle of water at school. You drank 3.5 liters of water today.
    5·1 answer
  • 1.7 meters equals how many centimeters
    9·2 answers
  • at a game show there are 7 (including you and your friend) in the front row. The host randomly chooses three people from the fro
    11·2 answers
  • QR is tangent to circle P at point Q.
    7·2 answers
  • A man buys 3 burgers and 2 jumbo deluxe fries for $7.40. A woman buys one burger and 4 jumbo deluxe fries for $7.80. How much is
    5·2 answers
  • What number replaces the ◊?
    14·1 answer
  • Please help me asap! Thank you! Lines CD and CE are tangent to circle a. If m angle DAE = 140°, what is the measure of angle DCE
    8·1 answer
  • Whats the standard form of 4 million 2 hundred sixteen thousand ninety
    9·2 answers
  • The distance between the parallel lines x – 2y = 3 and 2x – 4y = 12 is
    7·2 answers
  • A new cars salesperson, sold an average of $23,797 per day for the first 4 days she worked. The next 4 days she worked, she sold
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!