It costs Widgeco $2,000 to purchase a machine that produces widgets and $2.75 to produce each widget. If widgets are sold for $4.99 each, which of these represents the profit, P(w), received when Widgeco sells w widgets?

Answer:

[tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = [tex] m = \frac{rise}{run} = \frac{2}{1} = 2 [/tex]

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = [tex] m = \frac{rise}{run} = -\frac{3}{1} = -3 [/tex]

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

[tex] x = \frac{6}{-5} = -1\frac{1}{5} [/tex]

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

[tex] y = -3\frac{-6}{5} + 1 [/tex]

[tex] y = \frac{18}{5} + 1 [/tex]

[tex] y = \frac{18 + 5}{5} [/tex]

[tex] y = \frac{23}{5} [/tex]

[tex] y = 4\frac{3}{5} [/tex]

✅The exact solution would be: [tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]

Answer:

40

Step-by-step explanation:

30/75 = .4

Answer:

40%

Step-by-step explanation:

Start by doing 30 ÷ 75 which gives you 0.4

0.4 as a percentage is 40%

Find percentage from decimals by moving the decimal place two times to the right.

Answer: (i) Maximum possible number of bouquets he can make = 15

(ii) There are 10 roses, 8 lilies and 3 hydrangeas in each bouquet.

Step-by-step explanation:

Given: Roberto uses 150 roses, 120 lilies, and 45 hydrangeas to make bouquets.

(i) Maximum possible number of bouquets he can make = HCF(150, 120 , 45)

Since , 150 = 2 x 3 x 5 x 5  , 120= 2 x 2 x 2 x 3 x 5 ,  45 = 3 x 3 x 5

HCF(150, 120 , 45) = 3 x 5 = 15

Now, Maximum possible number of bouquets he can make = 15

(ii)  Number of roses in each bouquet = [tex]\dfrac{150}{15}=10[/tex]

Number of lilies in each bouquet = [tex]\dfrac{120}{15}=8[/tex]

Number of hydrangeas in each bouquet =[tex]\dfrac{45}{15}=3[/tex]

Hence, there are 10 roses, 8 lilies and 3 hydrangeas in each bouquet.

Answer: 72 grams of tea leaves

Step-by-step explanation:

288/24 = 12

6 leaves per 24 ounces of fluid

12x6=72

Answer:

The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.

Answer:

x=5

here,

=5×5-5

=25-5

=20

Answer:

0 will be the answer may be not sure

Answer:

regular 4 is correct

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

Answer:

the answer to 1 is 24.5

Step-by-step explanation:

i believe

Answer:

b

Step-by-step explanation:

Use PEMDAS in order to solve

Answer:

6x - 3 < 15

Step-by-step explanation:

6x - 3 < 15

Hope this helps!!!

Happy holidays!

Answer:

5'3 and 1'1 is B b A is 4'3 and 1'1

Answer:

litros. TODO Cm. Calcula el volumen de cada figura compuesta. Redondea al ... Encuentra la altura h del recipiente a la décima más cercana. ... cubierto, haciendo que el nivel del agua suba 2 pulg.

Answer:

The length is 120 yards

Step-by-step explanation:

Here, we want to find the length of the longest side

The longest side ratio is 15

Add up all the ratio,

We have 1 + 15 + 3 = 19

So the length will be;

15/19 * 152

= 120 yards

Answer:

1/3 is 0.33-0.33 ×0.33= 0.189

Step-by-step explanation:

u know what is one over three then the exponent is 2 so u multiply the number but itself as much as the exponent number is

Answer ::::::::::::::

50

Answer:

x + 3y =21 equation 1

let the equation perpendicular to X + 3y = 21 be

3x - y + k = 0 equation 2

since the point ( 1 , -3 ) passes through equation 3x - y +k =0

3× 1 - (-3) + k = 0

or, 3 + 3 + k = 0

or, 6 + k =0

or, k = -6

now,

putting the value of k in equation 2

3x - y + k = 0

or, 3x -y -6=0

Answer:

I believe Laila saved $9.

Step-by-step explanation:

63/7=9

Divide

63/7 = 9

She saved $9

Answer:

0.03

Step-by-step explanation:

8x=0.24

x=0.03

Answer:

True false false

Step-by-step explanation:

It is found that the Statement 1 is true. The Statement 2 is false. The Statement 3 is true.

Function is a type of relation, or rule, that maps one input to specific single output.

Given that V (T) represent the value of a bank account, and thousands of dollars, T years after the account is open at the bank.

The following statements can be considered true or false in the case;

V(0) = 2 means that the value of the bank account when it is opened is; $2000. Thus, it is TRUE

V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is; $5000. Thus, it is FALSE

V(10) – V(5) = 0.4 means that the bank account grows by, $400 between 5 and 10 years after its opening. Thus, it is TRUE

The function takes the form as given below.

V(t) = Value of account.

Hence, The Statement 1 is true.

The Statement 2 is false.

The Statement 3 is true.

Learn more about function here:

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Answer:

x > 32/5

Step-by-step explanation:

Answer:

68796

Step-by-step explanation:

Answer:

76986x − 8190

Step-by-step explanation:

Answer:

a=169 ft

Step-by-step explanation:

Here you are given the angle 25, and the opposite and hypotenuse values.

Opposite/Hypotenuse: the sin(angle 25)=a/400ft.

We need to solve for a, so lets multiply 400 to the other side:

400(sin25)=a. Plug this into your calculator and you will get the answer: a=169.04 ft

Answer:

A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Answer:

1+1=2 and 1x1= 1

Step-by-step explanation:

If you add something you take the first number and add it to the second one. If it is multiplication, you take the first number, and multiply by itself, so it would be 1 times itself (1) and it is kind of like 1+0 which equals 1. It doesn't sound like a lot, but when you get into Algebra and Pre-Algebra, etc. it does come along easier.

Answer:

1+1=2 and 1x1= 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 3 or 8

because if you are looking for 6 then its 3

if you are looking for 16 then its 8

sorry if I did not help much but I hope I did : ))))))))))

The number of people that travel commercially each year is  7.8 x 10^8.

The number of people that travel commercially each year is represented in scientific notation. Scientific notation is used to compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

In order to determine the number of people who flew commercially each year, multiply the number of people who flew each month by 12.

Number of people who fly commercially each year = 6.5x10^7 x 12

= 78 x 10^7

= 7.8 x 10^8

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