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
yarga [219]
3 years ago
8

The total cost for four pens and seven mechanical pencils is $13.25. The cost for each mechanical pencil is 75 cents. Write and

solve an equation that can be used to find the cost of each pen. (Define your variable and show your work)
Mathematics
1 answer:
love history [14]3 years ago
6 0

Answer:

One pen costs $2

Step-by-step explanation:

The 7 mechanical pencils costed $5.25, so $13.25 minus $5.25 is $8; and $8 divided by $4 is $2. So each pen costs 2 dollars.

Equation: 4n = 13.25 - 5.25

The variable n stands for the cost of one pen.

I hope this helps! I'm pretty confident in this answer, myself so I think you'll do great!

You might be interested in
Henry was thinking of a number. Henry halves the number and gets an answer of 32.5. Form an equation with
Kamila [148]
Since his number halved is 32.5 all you have to do is multiply 32.5 by 2.

x=32.5(2)
x=65
7 0
3 years ago
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation
Andrej [43]

Answer:

5x= 15

Step-by-step explanation:

Given

3x - 5 = -2x  +10

Required

Write the variables and constants on different sides

3x - 5 = -2x  +10

Add 2x to both sides

2x + 3x - 5 =2x -2x  +10

5x - 5 =10

Add 5 to both sides

5x - 5 + 5 = 10 + 5

5x= 10 + 5

5x= 15

Hence, the equation is

5x= 15

Solving further [divide both sides by 5]

x = 3

3 0
3 years ago
What is the inverse of this function?
Andreas93 [3]

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x + 3), x >= -3

-2y = sqrt(x + 3)

4y² = x + 3

x = 4y² - 3

and now we need to rename x to y and y to x to make it a "normal" function :

y = 4x² - 3

since in the original function x >= -3, this gave us y <=0.

and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.

so, again, the full answer is

f^-1(x) = 4x² - 3, x <= 0

8 0
2 years ago
At the beginning of a population study, a city had 360,000 people. Each year since, the population has grown by 4.3%.
dangina [55]

Answer: y = 360,000 times t + 4.3%

Step-by-step explanation:

6 0
3 years ago
Evaluate the following:<br><br> Options are:<br> -20<br> 0<br> 20<br> The integral diverges
victus00 [196]

Answer:

The integral diverges

Step-by-step explanation:

∫₋₁¹ 10/x² dx

There is a discontinuity in the function at x = 0.  Splitting this into two integrals:

∫₋₁⁰ 10/x² dx + ∫₀¹ 10/x² dx

-10/x |₋₁⁰ + -10/x |₀¹

∞

3 0
3 years ago
Other questions:
  • B)
    12·1 answer
  • From a sample of 37 graduate​ students, the mean number of months of work experience prior to entering an MBA program was 35.15.
    6·1 answer
  • What is the measure of
    11·2 answers
  • PLEASE HELP<br> X=<br> 8<br> 9<br> 10
    12·1 answer
  • What makes the number sentence true <br><br> 420,008 - 9,569 = n
    14·1 answer
  • 3y + 8 = ½ y + 28 Find y
    13·1 answer
  • Joel can run around a 14– mi track in 81 sec, and Jason can run around the track in 69 sec. If the runners start at the same poi
    7·1 answer
  • A closed circle on the number line means that the number ______________________ a possible solution.
    9·2 answers
  • Due in 6 hours please help.
    6·2 answers
  • 7 Tom claims that the system of equations at the right has
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!