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
Andrei [34K]
2 years ago
12

Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an i

nstallation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.
Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?

A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05
Mathematics
1 answer:
maw [93]2 years ago
5 0

Answer: $170.25 + $3.78x = $586.05

Step-by-step explanation:

You might be interested in
The price of a technology stock was $9.74 yesterday. Today, the price fell to $9.67. Find the percentage decrease. Round your an
agasfer [191]
% change = (new value - old value)/(old value) * 100%
.. = (9.67 -9.74)/9.74 * 100%
.. = -0.07/9.74 * 100%
.. = -0.7%

The decrease is 0.7%.
5 0
3 years ago
PLEASE HELP!!!!<br> I need to solve for a, b, and c
nirvana33 [79]

Answer:

  • 25000 seats in section A
  • 14100 seats in sectin B
  • 10900 seats in section C

Step-by-step explanation:

The problem statement tells you half the total number of seats are in section A, so you already know that there are 25000 A seats. The revenue from those seats is

... 25000×$25 = $625,000

so the revenue from B and C seats must total

... $1,070,500 - 625,000 = $445,500

If all 25000 of the B/C seats were C seats, the revenue would be

... 25000×$15 = $375,000

The actual revenue from those seats is $445,500 -375,000 = $70,500 more than that. We know each B seat generates $5 more revenue, so there must be ...

... $70,500/$5 = 14,100 . . . . B seats

Then the balance of the 25000 B and C seats are C seats:

... 25,000 - 14,100 = 10,900 . . . . C seats

_____

<em>Alternate Solution Method</em>

The new Brainly answer format requires the answer be supplied before the working. In order to find the answer quickly so that I can fill in that section, I used a matrix method for solving the problem. The problem equations can be written ...

  • a + b + c = 50000
  • a - b - c = 0
  • 25a + 20b + 15c = 1070500

so the augmented matrix is ...

\left[\begin{array}{cccc}1&1&1&50000\\1&-1&-1&0\\25&20&15&1070500\end{array}\right]

A graphing calculator can be used to find the solution to this, generally using a function that produces the reduced row-echelon form. The attachment shows the solution using a TI-84 calculator.

___

<em>Comment on the Working</em>

Since the number of A seats is equal to the total of B and C seats, the number of A seats must be half the total number of stadium seats. Having figured that out, the problem is reduced to one of finding the mix of B and C seats that will produce the remaining revenue.

As with many mixture problems, it is convenient to look at differences. Start with the assumption that all of the desired revenue comes from the least contributor. Here, that is C seats. Then figure the difference that using a B seat makes ($20 -15 = $5) and the difference of the actual revenue and the amount that you got by assuming all C seats: 445,500 -375,000 = 70,500. Since replacing a C seat by a B seat adds $5 to the revenue, it is easy to figure the number of such replacements required in order to raise the revenue by $70,500.

If you write the equation for B seats, you find the solution to the equation mirrors this verbal description:

... 20b + 15(25000-b) = 445,500

... 5b = 445,500 - 375000 . . . . simplify, subtract 375000

... b = 70500/5 = 14100

8 0
2 years ago
The profit (P) in dollars, for a company is modeled by the function P(x)=-750x^2+15,000x,where x is the number of items produced
OLEGan [10]
-750x^2+15000x

But x must be a natural number, so the answer is x>20.
5 0
2 years ago
Reflect (4, -5) over the x axis
puteri [66]

Answer: (4,5)

The answer is (4,5)

your welcome

3 0
2 years ago
Read 2 more answers
1) Q: A: Factor x2 + 8x + 16 A) (x + 4)2 B) (x - 4)2 C) (x + 8)(x + 2) D) (x + 2)(x - 8)
luda_lava [24]

Answer:

(x+4)^2  Choice A

Step-by-step explanation:

x^2 + 8x + 16

what 2 numbers multiply together to give you 16 and add together to give you 8

1*16 = 16   1+16 = 17  no

2*8 = 16   2+8 = 10  no

4*4 = 16  4+4 = 8  yes


(x+4) (x+4)

(x+4)^2

8 0
3 years ago
Other questions:
  • The difference of two numbers is 15. The larger number is 1 more than 3 times the smaller number. Find the two numbers.
    7·2 answers
  • Morgan uses 1/4 of her supply of raisins to make a trail mix and 3/8 of her supply of raisins to make cookies.If Morgan uses 5 p
    15·1 answer
  • PLEASE HELP ME!! I DONT UNDERSTAND!!
    11·1 answer
  • One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has pro
    7·1 answer
  • A number is at most 0 and greater then -10 the least possible integer value of the number is
    11·2 answers
  • How long will stefano have to wait to start making cookies
    15·2 answers
  • Write down an (in)equality which describes the solid ball of radius 3 centered at (7,1,−1). It should have a form like x2+y2+(z−
    11·1 answer
  • (x- 2y/x)^8 What is the fourth term of (x- 2y/x)^8
    9·2 answers
  • Please help me it says find the measure of c and b and I don’t know how if you can help me with this exam it would be much appre
    7·1 answer
  • When 36 is subtracted from the square of a number, the result is five times the number. What is the positive solution?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!