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
tamaranim1 [39]
3 years ago
10

A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the

amount of carpet installed. The relationship between the total cost for labor and the amount of carpet installed is
Mathematics
2 answers:
bonufazy [111]3 years ago
7 0

Answer:  Proportional

Step-by-step explanation:

Given : A flat rate charged by the carpet installer = $40

On addition to that , he charges $1.50 per square foot for labor.

Then , Total cost of carpet= Fixed rate of $40 +  $1.50 per square foot for labor.

Let x be the area of the carpet in square feet.

Then, the total cost ( in $)= 40 +1.50x , which is a linear function with slope 1.50.

According to the definition of linear function , we have

A linear function is in the form  of y=mx+c , it shows that the relationship between x and y is proportional.

That means ,  The relationship between the total cost for labor and the amount of carpet installed is proportional.

Lina20 [59]3 years ago
3 0

Answer:

The total cost will be $40 plus $1.50 per square foot of carpet or $40+$1.50x

You might be interested in
A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin
Mrac [35]

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion \hat p = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

Z_{\alpha/2} = Z_{0.05/2} \\ \\  Z_{0.025} = 1.96 (From the z tables)

The margin of error is calculated by using the formula:

M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}

M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}

M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}

M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

8 0
3 years ago
What is the x-value of point A?
kvv77 [185]

Answer: 5

Step by Step Explanation:

8 0
3 years ago
Help me with this 1,2,3. For each sequence, Determine with whether it appears to be arithmetic If it does find a common differen
pshichka [43]

Problem 1

<h3>Answer: Arithmetic, common difference = -4</h3>

-------------------

Explanation:

Pick any term of the sequence, and subtract off the previous term to find that,

  • term2 - term1 = -12 - (-8) = -12 + 8 = -4
  • term3 - term2 = -16 - (-12) = -16 + 12 = -4
  • term4 - term3 = -20 - (-16) = -20 + 16 = -4

Each time we get the same result, so that means we have an arithmetic sequence with common difference -4

This indicates that adding -4 to each term, or subtracting 4 from each term, will generate the next one.

Eg: term2 = term1 - 4 = -8-4 = -12.

==========================================================

Problem 2

<h3>Answer: Arithmetic, common difference = 5</h3>

-------------------

Explanation:

Similar to problem 1, this sequence is also arithmetic because we add on 5 to each term to get the next one

  • -6+5 = -1
  • -1+5 = 4
  • 4+5 = 9

Or you could subtract adjacent terms as done in problem 1, to find that the common difference is 5.

==========================================================

Problem 3

<h3>Answer: Not arithmetic</h3>

-------------------

Explanation:

Unlike the previous two problems, this sequence is not arithmetic.

We can see that

  • term2 - term1 = 12 - 3 = 9
  • term3 - term2 = 48 - 12 = 36

The gaps of 9 and 36 aren't the same. We need the same common difference between any adjacent terms to have an arithmetic sequence.

This sequence is instead geometric because

  • term2/term1 = 12/3 = 4
  • term3/term2 = 48/12 = 4
  • term4/term3 = 192/48 = 4

Each quotient is 4, showing the common ratio is 4. To find the next term, we multiply the current term by 4. So the next term after 192 would be 4*192 = 768, then 4*768 = 3072 is next, and so on.

3 0
3 years ago
1. f(6) if f(x) = 4x I know the answer I just need the explanation please thank you!
suter [353]
So when you have one of these, it’s just asking you so solve it as if x were 6 (as you see where the x in f(x) is replaced with a 6.

so you’d sub x for 6

giving you:

4 x (6)

which = 24

hope that makes sense :)
6 0
2 years ago
Read 2 more answers
Shirley spelled 12 of her 16 spelling words correctly on the test. What percent grade did shirley get on the test
Black_prince [1.1K]

Answer:

75%

Step-by-step explanation:

percent = part/whole * 100%

percent = 12/16 * 100%

percent = 0.75 * 100%

percent = 75%

Answer: 75%

5 0
2 years ago
Other questions:
  • 20 Point Offer.<br><br>5x + 7y = 14<br><br>2x - 7y = 14<br><br>Elimination Method.
    13·1 answer
  • Which number line shows the solution set for |8 - 2p| = 6
    15·2 answers
  • Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)
    8·1 answer
  • What number could be replaced with p? 8/12 = P/3
    5·1 answer
  • What is the unit rate for the proportional relationship represented by the equation y=4/5x
    15·1 answer
  • Convert the angle O= 35° to radians.<br> Express your answer exactly.<br> radians
    10·1 answer
  • Please help asap 30 pts
    13·1 answer
  • On a coordinate plane, a line goes through points (0, 1) and (3, 0). Y = one-half x minus 1.
    15·2 answers
  • If g(x) = 2x^2 - 4x, what is the value of g(- 2)?
    12·1 answer
  • 1. What is the sine ratio of ∠C?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!