answer.
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
KATRIN_1
4 days ago
13

A teacher plans to buy air fresheners that cost $3.50 each. If the teacher can spend no more than $10 on the air fresheners and

has a $3 discount coupon, which inequality represents the number of air fresheners, x, the teacher can buy?
Mathematics
1 answer:
babunello [11.8K]4 days ago
8 0

Answer:

Step-by-step explanation:

We need to set up an equation to determine how many air fresheners the teacher can purchase.The teacher has $10, with an additional $3 discount coupon, which provides her an extra $3 to spend. The cost of each air freshener is $3.50.

Let x represent the number of air fresheners

($10 + $3) / $3.50 = x       can be expressed as $13/$3.50 = x

We combine $10 with $3 for the total amount available to spend.

We divide by $3.50 as this is the price of each air freshener. This calculation gives the quantity of air fresheners she can acquire.

In this scenario,

$13/$3.50 = x

3.71 = x   BUT partial air fresheners cannot be purchased, allowing her to buy only 3 air fresheners.

You might be interested in
Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y =
Svet_ta [12734]
The equation of the perpendicular line can be identified by determining its slope and applying the given point within the standard formula.

Standard equation: y-y1 = m(x-x1)

m*m'=-1
where m' indicates the slope of the perpendicular line
m denotes the slope of the original line

m = -coefficient of x/coefficient of y = -4/-3 = 4/3
m' = -3/4

Substituting the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9

Thus, the equation of the perpendicular line is: 3x+4y-1=0
7 0
1 month ago
Read 2 more answers
If an eight-day single payment loan has a periodic interest rate of 11.1%, what is the approximate effective interest rate of th
babunello [11817]
Effective interest rate = Daily interest rate = Annual interest rate/number of days per year

Annual interest rate = 11.1%
Days in a year = 365

Thus,
Effective interest rate = 11.1/365 = 0.03%.
4 0
15 days ago
Read 2 more answers
Which of the following scenarios best describes division of a polynomial using synthetic division? Select all that apply. The di
Svet_ta [12734]

Response:

Synthetic division involves dividing a polynomial exclusively by a linear factor.

Elaboration:

The valid points are:

1. The division must occur involving a polynomial and a linear expression.

3. If the last term in the quotient contains a number, a remainder will exist. After performing the division, if a number other than zero remains in the final term of the quotient, it is classified as the remainder.

4. The resulting quotient is represented as a polynomial with a degree one higher than that of the original dividend.

7 0
27 days ago
A professor believes that students at her large university who exercise daily perform better in statistics classes. Since all st
Leona [12618]

Response: Yes, it is

Detailed explanation:

Since the average scores of both sets of students vary, evaluating the mean score in relation to their class will clarify which class supports or contradicts the professor's research

7 0
18 days ago
What is true about the solution of StartFraction x squared Over 2 x minus 6 EndFraction = StartFraction 9 Over 6 x minus 18 EndF
PIT_PIT [12445]

Answer:

x=\pm\sqrt{3} and these represent genuine solutions.

Step-by-step explanation:

We have

\frac{x^2}{2x-6}=\frac{9}{6x-18}

Factor both sides' denominators.

\frac{x^2}{2(x-3)}=\frac{9}{6(x-3)}

Simplify.

\frac{x^2}{2}=\frac{9}{6}

x^2=\frac{18}{6}

x=\pm\sqrt{3}

Verify

1) For x=\sqrt{3}

\frac{\sqrt{3}^2}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}

\frac{3}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}

18=18 ---> is valid.

Thus,

x=\sqrt{3} -----> is a legitimate solution.

2) For x=-\sqrt{3}

\frac{-\sqrt{3}^2}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}

\frac{3}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}

18=18 ---> is valid.

Therefore,

x=-\sqrt{3} -----> is a legitimate solution.

Thus,

3 0
1 month ago
Read 2 more answers
Other questions:
  • Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,
    6·1 answer
  • Ms. Trowbridge will receive a 40% discount off her first cell phone bill. Her monthly cell phone plan charges a flat monthly fee
    13·1 answer
  • If ray BD bisects angle CBE, ray BC is transparent to ray BA, angle CBD = (3x + 25) degrees, and angle DBE = (7x - 19) degrees,
    11·2 answers
  • A book normally cost $21.50. Today it was on sale for $15.05. What percentage discount was offered during the sale. ( Please exp
    8·2 answers
  • Mary Hernandez had a policy with a $500 deductible which paid 80% of her covered charges less deductible. She had medical expens
    14·1 answer
  • Miguel created the ratio table below to show how he uses the money he earns at work. How much money will he save if he earns 120
    7·2 answers
  • All members of our painting team paint at the same rate. If $8$ members can paint a specific wall in $36$ minutes, then how long
    8·1 answer
  • Write the equations after translating the graph of y=|1/2x-2|+3. One unit to the left
    10·1 answer
  • Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is mo
    12·1 answer
  • Given: △PTC
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!