A potter makes cups and saucers in a factory. He is paid $1.44 per
batch of cups and $1.20
per
batch of saucers. What is his gross pay if
he makes 9 batches of cups and 11 batches of saucers in one day?

Answer:

Step-by-step explanation:

(-9-7)/(0-1)= -16/-1= 16

y - 7 = 16(x - 1)

y - 7 = 16x - 16

y = 16x - 9

Answer:

[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]

Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.

Step-by-step explanation:

To make y as the subject of equation, we have to find a way to isolate y-variable.

First, add 4h both sides of equation which we obtain:

[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]

Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.

[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]

Thus the answer is y = (18+4h)/5

Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.

[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]

Either one of these solutions work.

_______________

Let me know in the comment if you have any questions.

Answer/Step-by-step explanation:

Solve

Before we begin graphing, we have to solve the equation. You cannot just graph the equation as it is now. Let us simplify it:

[tex]56x-19=-8y+5[/tex]

[tex]56x-19+19=-8y+5+19[/tex]                           [tex]\mathrm{Add\:}19\mathrm{\:to\:both\:sides}[/tex]                                            

[tex]56x=-8y+24[/tex]

[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex]                                                 [tex]\mathrm{Divide\:both\:sides\:by\:}56[/tex]

[tex]\bold{x=\frac{-y+3}{7}}[/tex]

Graph

Now, we can graph. Graph the line using the slope and y-intercept, or two points.

[tex]\mathrm{Slope}: -7\\y-\mathrm{intercept}: (0,3)[/tex]

[tex]x\\0\\1[/tex]   [tex]y\\3\\-4[/tex]

Answer:

a) 137.9°

b) 12.2° (please refer to explanation because I didn't know what to round to)

Step-by-step explanation:

1a) A supplementary angle will equal 180°, so you must subtract 42.1 from 180

180-42.1 = 137.9

1b) A complementary angle will equal 90°, so you need to use the expression given and add an x for the other part of 90°

8x-20+x = 90

9x-20=90

9x=110

x=12.2

Answer:

45

Step-by-step explanation:

Usando proporciones, se encuentra que 15 obreros hacerían el mismo complejo en 24 días.

La regla de três es:

10 obreros - 336 días

15 obreros - x días

Aplicando multiplicación en línea:

[tex]15x = 336(10)[/tex]

[tex]x = \frac{336(10)}{15}[/tex]

[tex]x = 24[/tex]

15 obreros hacerían el mismo complejo en 24 días.

Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636

Answer:

C .12 units I think so if wrong I am sorry

Answer:

3r + 4t = 80

Step-by-step explanation:

Roses cost $3 each, tulips cost $4 each

Answer:

no

Step-by-step explanation:

28x+17=157   Subtract 17 on both sides.

       -17  -17

28x=140

x=5

5 does not equal -10, so -10 is not a solution to the equation 28x+17=157.

Hope this helps!! Have a great day :)

Answer:

[tex]r=\sqrt{\frac{27}{\pi } }[/tex]

Step-by-step explanation:

[tex]\pi r^{2} (12)=324[/tex]

[tex]\pi r^{2} =27[/tex]

[tex]r^{2} =\frac{27}{\pi }[/tex]

[tex]r=\sqrt{\frac{27}{\pi } }[/tex]

Answer:

k = 7

Step-by-step explanation:

The constant of proportionality k is calculated as

k = [tex]\frac{miles}{hours}[/tex]

Using the values from the table , then

k = [tex]\frac{14}{2}[/tex] = [tex]\frac{42}{6}[/tex] = [tex]\frac{56}{8}[/tex] = [tex]\frac{70}{10}[/tex] = 7

Answer:

So 9 months is 273 days and 394200 minutes so if the butterfly spends  30 days means one month so it is 43800 minutes old .

hope it gonna help you.

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

c(8)=-6+5x7

c(8)=-1x7

c(8)=-7

The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence

The given sequence is:

[tex]\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........[/tex]

A sequence is an arithmetic sequence if it has a common difference d

In the given sequence:

[tex]T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}[/tex]

[tex]T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}[/tex]

Since the sequence has a common difference of 2/3, it is an arithmetic sequence

Learn more on sequence here: https://brainly.com/question/25935727

Answer:

Step-by-step explanation:

The scale factor is 5.3 repeating. So I divided 24 by 5.33333333333333333 and got 4.5. I don't know if it's accurate since it's a reapeating decimal but it's close enough. Then I multiplied 2 by 5.3333333333333333333333 and got 10.6666667.

The number needed to complete the square is 9/4

Given the expression x^2 + 3x + ?

Using the completing the square;

Step 2: Get the coefficient of x

The coefficient of x is 3

Step 3: Get the half of coefficient of x

Hale of the coefficient  = 3/2

Step 4: Take the square of the result

Square of the result  = ()3/2)^2 = 9/4

Hence the number needed to complete the square is 9/4

Learn more on completing the square here: https://brainly.com/question/1596209

Answer:

32p + 24

Step-by-step explanation:

Distribute the 8 to each term

8 * 4p = 32p

8 * 3 = 24

Answer:

FALSE

Step-by-step explanation:

PLZ MARK BRAINLIOEST

Answer:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

Step-by-step explanation:

(x1, y1) = (-7, 5)

(x2, y2) = (6, 11)

The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I marked the points above as points 1 and 2, so you can plug those numbers into the formula:

[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]

That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.

[tex]y=mx+b[/tex]

Plug the slope and any point of your choice into the equation. I'll use point b:

[tex]11=(\frac{6}{13})6+b[/tex]

Now, solve for b:

[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]

They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:

[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]

That works out.

Answer:

y=-5x+2

Step-by-step explanation:

rise/run

or

y2-y1/x2-x1

-8-(-3)/2-1

-8+3/2-1

-5/1=m=slope

Slope intercept formula:y=mx+b

use point (1,-3)

-3=-5(1)+b

-3=-5+b

+5 +5

2=b

Final Answer: y=-5x+2

Answer:

110°

Step-by-step explanation:

Alternate angles are equal.

Hope this helps and have a good day!

Measure of y is [tex]103^0[/tex]

A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. If ABCD is a quadrilateral then angles at the vertices are ∠A, ∠B, ∠C and ∠D. The sides of a quadrilateral are AB, BC, CD and DA.

110 + Z =180 ......................(Linear pair)

So, the measurement of angle z is 70.

Since,  Sum of all interior angles of quadrilateral = 360°.

then...

Y = 360 - (100 + 87 + 70)

Y = 360 - 257

   = 103

Hence, measure of y is [tex]103^0[/tex]

To learn more about the  quadrilateral here:

https://brainly.com/question/29269424

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Answer:

[tex]3x^3 - 5x + 1 - \frac{10}{x + 3}[/tex]

or

3x^3 - 5x + 1

Remainder: -10

Step-by-step explanation:

Please see attached image for full explanation!

1.) Write the coefficient of each term.

2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)

3.) Add the product to the next coefficient and repeat until you get to the last number, -7.

4.) You should have the numbers 3, 0, -5, 1, and -10.

5.) Rewrite this quotient as an equation:

3x^3 - 5x + 1

Note that the highest power is 3, one less than that of the highest power in the original equation.

6.) Don't forget the remainder!

You can include this in the equation or not, depending on the instructions.

Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.

Yes?? i dont understand the question that much

Step-by-step explanation:

Answer:

Step-by-step explanation:

Portf?

Answer:

y= 0x+4

Step-by-step explanation:

This is a horizontal line, since both coordinate pairs end in 4, so the slope is 0. The y-intercept is 4 because each point is 4.

Molly currently claims 2 withholding allowances which can be determined by using rules of allowance.

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

How many withholding allowances does Molly currently claim?

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

The withholding allowance is used by a person to pay less amount of tax on his or her income to the government.

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

Therefore,

It is given that Molly has taken 1 more withholding allowance to pay tax less by the amount of $16.

So he must have possessed at least 1 allowance previously and added 1 more.

So, the minimum number of allowance possessed by Molly = 2

Hence, Molly currently claims 2 withholding allowances.

For more details about Income Tax refer to the link given below.

https://brainly.com/question/1708567

Answer:

Here is your Answer

Step-by-step explanation:

DIAMETER = 14 M

RADIUS = DIAMETER ×0.5

RADIUS = 14÷0.5 = 7

HEIGHT = 9M

AREA OF CYLINDER = 2pi*R* H

AREA = (2× 3.14×7×9) M^2

AREA =395.64 M^2

COST FOR AREA M^2 = ₹ 32

COST FOR AREA 395.64 =₹(395.64×32)

SO, ANSWERS= ₹ 12660.48

Plz Mark Me As Brainiest

Answer:

$ 12660.5

Step-by-step explanation:

We know that

Radius = Diameter/2

Radius = 14/2 = 7 m

Now,

CSA of cylinder = 2πrh

=> 2 × 3.14 × 7 × 9

=> 395.6 m²

Now,

Cost = 395.6 × 132

=> $ 12660.5