Painted Pots lets customers choose and paint their own pottery. The store has teapots in
multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also
painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
3
Which equation can you use to find c, the cost of each teacup?
Time
elapse
00
09
18(C + 4) = 42
40 + 18 = 42
SmartSco
Out of 100
18C + 4 = 42
4(0 + 18) = 42
What was the cost of each teacup?

Answers

Answer 1

Using a linear equation, we find c using:

[tex]42 = 18 + 4c[/tex]

A linear function has the following format:

[tex]A(n) = A(0) + cn[/tex]

In which:

c is the slope, which is the price per unit.A(0) is the y-intercept, which is the fixed price.

In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]

She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]

Then

[tex]A(n) = A(0) + cn[/tex]

[tex]42 = 18 + 4c[/tex]

Hence, the equation to find c is:

[tex]42 = 18 + 4c[/tex]

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Related Questions

y = x square - 4x + 6

Answers

Y= x^2 - 4x + 6
In order to solve this we also need your question!! Are we putting this in slope intercept, solving for y, or solving for X, and if so, what is one of the variables? What is the question asking?

How many minutes is 6:45 to 9:25 ?

Answers

Answer:

It is 15 minutes from 6:45 to 7:00. From 7:00 to 9:25 it is 2 hours and 25 minutes. Note: one hour is 60 minutes.

15 + 60(2) + 25

15 + 120 + 25

160 minutes

:)

Given: SR is the perpendicular bisector of QT; QR is the perpendicular bisector of SP
Prove: PQ=TS

Answers

Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:

SR ⊥ QT   (given)

QR ⊥ PS  (given)

Comparing Δ PQS and ΔQST, we have:

Points Q and T are equidistant to bisector SR (bisection property of a line)

Points P and S are equidistant from QR (bisection property of a line)

QS is a common side to the triangles

Then,

PS ≅ QT (similar property of triangles)

Thus,

PQ ≅ ST (Side-Side-Side (SSS) property of triangles)

Therefore by Side-Side-Side (SSS) theorem, PQ = ST.

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Tim Worker wants to purchase an automobile warranty costing $6,659.

If he chooses to make 48 equal payments, then in dollars and cents the average payment will be $_____

Answers

From the given information, the amount that will be paid averagely each month will be $138.73.

From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.

Therefore, the amount that will be paid each month will be calculated thus:

= $6,659 / 48

= $138.73

The amount will be $138.73.

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https://brainly.com/question/24429956

Complete the equation line through (1,4) and (2,2) use exact numbers

Answers

Equation: y = -2x + 6

(Graphed in the image below, green dots are the points given)

Help plz! i am in 7th grade, but I am doing 9th grade math and i need help. I missed one day of school and i am behind. what is a residual?!?

Answers

Answer:

residual is a quantity remaining after other things have been subtracted.

Answer: A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative.

Step-by-step explanation:

At a school
Number of boys : number of girls 11:9
There are 124 boys than girls
Work out the total amount of students at the school

Answers

Step-by-step explanation:

Total ratio =11+9

=20

=120/20×124

=744

therefore the number of students are 744

You are buying carpet to cover a room that measures 38 ft by 40 ft. The carpet
cost $18 per square yard. How much will the carpet cost?

Answers

Answer:

27360

Step-by-step explanation:

38x40=1520

1520*18=27360

**PLEASE HELP ME**
its pre calc !

Answers

Answer:

  a32 = -80

Step-by-step explanation:

The generic term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.

  -221 = a1 +d(79 -1)

  -14 = a1 +d(10 -1)

Subtracting the second equation from the first, we have ...

  -221 -(-14) = (a1 +78d) -(a1 +9d)

  -207 = 69d . . . . . simplify

  -3 = d . . . . . . . . . . divide by the coefficient of d

Then the value of a1 can be found as ...

  -14 = a1 +(-3)(9) . . . . substitute for d in the second equation

  13 = a1 . . . . . . . . . . . add 27

__

Using our formula to find the 32nd term, we have ...

  an = 13 -3(n -1)

  a32 = 13 -3(32 -1)

  a32 = -80

The 32nd term of the sequence is -80.

When we round 7.80576 to 3s f, it is equal to:​

Answers

3 SF means you want to include 3 digits including zeros.
So answer is 7.81 (round the zero to 1 as the number after is 5 and above.
In scientific notation it is 7.81 e 0

What is the slope of the line ?

Answers

Answer:

-[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

     [] Slope is the m in y = mx + b

     [] Slope is found by using rise over run or, in other words, change in y change in x

     [] Since the line is going down from top left to bottom right, the slope is negative

     [] Since it is graphed and we have clear coordinate-points, we can use rise over run. From (0,3) we count 1 down and 2 over to (2, 2) give us a slope of -1/2

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-1/2

Step-by-step explanation

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9

Answers

Answer:

D) -[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

if 2 lines are perpendicular, one line has the opposite reciprocal of the other line.

Answer:

D,_3/2

Step-by-step explanation:

when two lines are perpendicular, m¹=_1/m²

Please help me I don’t know how to solve this

|-4-r|=4

Answers

Answer:

r = 0 and r = -8

Step-by-step explanation:

|-4-r|=4

-4 = -4-r = 4

0 = - r = 8

0 = r = -8

When you have absolute value signs, to get rid of the absolute value signs and find the value of the term, you simply add another eqaul sign (=), and add a negative in front (- =). If it is already set to equal a negative, there isn't any solution.

|x| = 4

-4 = x = 4

So x would equal 4 and -4 for this example.

Another example:

|x|=-5

Because it's equal to a negative, the solution is automatically no solution.

The actual answer is r = 0 and r = -8

Bonie reduced the size of a photo to a height of 4 in. what is the new width if it was orginally 16 in tall and 8 in wide?​

Answers

Answer:

i need help with this one too

Step-by-step explanation:

Answer:

2 inches

Step-by-step explanation:

I hope it helps you!

can i have help with geometry??????

Answers

Answer:

Yeah sure, but I cant guarantee i will answer all the questions. What grade level?

Obviously we can help you :)

solve pls brainliest

Answers

Answer:

95%

Step-by-step explanation:

19/20=0.95

0.95x100=95%

Answer: 95%

hope this helps ^^

Write 1 over 9 as a decimal and round it to 2 decimal places

Answers

Answer:

0.111

Step-by-step explanation:

1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.

Hope this helps :)

Have a good day / night

Step-by-step explanation:

1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!

Tucker rings up an item that costs $35. After sales tax, the total is $37.80. What is the sales tax percentage?

Answers

Answer:

3 PERCENT

Step-by-step explanation:

I DID THE QUIZ

What is the slope of the graph shown below?

Answers

Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

I need help on 40 please

Answers

Answer:

A

Step-by-step explanation:

1000 pepperoni pizzas were 40% of total price. 40*2.5=100. That means 1000*2.5 which equals 2500.

The bakery decides to
make only 100 corn muffins on Tuesday. How many
kilograms of sugar will be needed?

Answers

Answer:

we need to know how many kilograms are in each corn muffin to answer that queastion

Step-by-step explanation:

we need to know how many kilograms are in each corn muffin to answer that queastion

We need to know the kilograms of the first muffin to get the idea of the final amount.

Round the quantity to th given place value 13.989 to the nearest tenth

Answers

Answer:

13.989 rounded to nearest tenth is 14.0.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

round

Which of the following expressions is modeled on the number line?
+
-2 -1
+
0
+
1
5
-
-
2
3
4
ܕܠܐ
6
7
-N
8
9
10
-2(3)
02.3
6 = -3
0 0 + 6

Answers

The answer is -2 -1

The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.

Answers

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square =

s = side length of the square

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

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what is the first step in solving problem using GMDAS?

Answers

Answer:

D

Step-by-step explanation:

Gemdas-this means grouping

exponent, multiplication, Division,addition,

and subtraction order of operations

Sana tama HAHAHAHA

103.8 is what percent of 64? Round to the nearest thousandth

Answers

Answer:     162.1875%. Based on the given conditions, formulate: 103.8 / 64 Convert decimal to fraction:dfrac 1038/10 64Div

Step-by-step explanation:

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than −1.66.

Answers

Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.

The graph is given by option B.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean of the distribution. From the z-score table, the p-value associated with the z-score is found, representing the percentile of the measure X.

In the context of this problem, the mean and the standard deviation of the scores are given as follows:

[tex]\mu = 0, \sigma = 1[/tex]

The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (-1.66 - 0)/1

Z = -1.66

Z = -1.66 has a p-value of 0.0485.

1 - 0.0485 = 0.9515, which is the probability.

The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

can some one help me pleaseeee :(

Answers

a) 5/8

b) 3/5

Hope this helps

how long will it take the wave to reach the shore?

Answers

The answer is the last one 0.6 sec

Each side of an equilateral triangle has length x+3 and each side of a square has length 4x-2. Write an expression for the sum of their perimeters.

Please help me!!

Answers

Answer:

square: 16x-8

triangle: 3x+9

Step-by-step explanation:

Squares have 4 equal sides. Equilateral triangles have 3 equal sides.

Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.

Answer:

square: 16x-8

triangle: 3x+9

Step-by-step explanation:

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