A company that manufactures widgets has fixed costs of $8,906.00 each month and a cost of $2.64 for each widget it produces. Which of the following equations could be used to determine the total production costs for the company if it produced x widgets last month?

(Let x represent the number of widgets the factory produced last month and y represent the total production costs for the factory.)
A.
y = $890.60 + $2.64x
B.
y = $8,906.00 + $2.64x
C.
y = $8,906.00x - $2.64x
D.
y = $2.64 + $8,906.00x

Answer:

2 14/15

Step-by-step explanation:

2 1/3 + 3/5

~Turn into improper fractions

7/3 + 3/5

~Find common denominators

35/15 + 9/15

~Add

44/15 or 2 14/15

Best of Luck!

Answer:

x=-3

Step-by-step explanation:

5x+9=2x

9=-3x

x=-3

Answer:

Xjxhxbxbxbxbxjxjs sjsnsndbxnxj

Answer:

a, b, e,f

Step-by-step explanation:

i dont have one

Answer:

13

Step-by-step explanation:

10x18= 180

193-180= 13

Answer:

350 square feet

Step-by-step explanation:

divide the square feet by the gallons of paint

Answer:

20p = x

Step-by-step explanation:

Since Lily sold 5 purses in week one and 15 purses in week two that adds up to be a total of 20 purses sold in two weeks. Since p represents the profit for each purse she can use the expression below which simply multiplies the profit per purse (p) by the total amount of purses sold in the two weeks which would give her the total amount of profit (x) that she made from all of her sales.

20p = x

Answer:

11 cm

Step-by-step explanation:

A = [tex]s^{2}[/tex]

Known that A = 121 [tex]cm^{2}[/tex],

121 [tex]cm^{2}[/tex] = [tex]s^{2}[/tex]

s = [tex]\sqrt{121}[/tex] cm = 11 cm

Done :)

The side length of a square launch pad is 11 centimeter.

Here,

Darius is building a square launch pad for a rocket project.

The area of the pad is 121 square centimeters.

We have to find, it's side length.

What is Area of square?

The area of a square = side x side

Since each side of a square is the same, it can simply be the length of one side squared.

Now,

The area of the pad is 121 square centimeters.

We use the area formula,

⇒[tex]A = s^{2}[/tex]

⇒ [tex]s^{2} = 121[/tex]

⇒[tex]s = \sqrt{121}[/tex]

⇒ [tex]s = 11[/tex]

Hence, The side length of a square launch pad is 11 centimeter.

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Answer:

3886.53 [tex]m^{2}[/tex]

Step-by-step explanation:

The running track consist of two semicircles and a rectangle.

So that;

Diameter of the semicircles = width of the rectangle = 73 m

radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{73}{2}[/tex]

          = 36.5 m

But the two semicircles form a circle, so that;

Circumference of a circle = 2[tex]\pi[/tex]r

Circumference of the circle formed by the semicircles = 2 x [tex]\frac{22}{7}[/tex] x 36.5

                                          = 229.43 m

Thus,

length of the running track = circumference of the circle formed + length of the two sides of the rectangle

                                             = 229.43 + 84.39 + 84.39

                                             = 398.21 m

The length of the running track is 398.21 m.

Therefore;

Area of the running track = length x width

                                         = 398.21 x 9.76

                                         = 3886.5296

The area of the running track is 3886.53 [tex]m^{2}[/tex].

Answer:

- 6 and - 4

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] x + 4 ≥ 6 ( subtract 4 from both sides )

- [tex]\frac{1}{2}[/tex] x ≥ 2

Multiply both sides by - 2 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ - 4

The only values from the set which satisfy the inequality are

- 4 and - 6

Given that the radius of the puddle expands, originally, at a rate of 1/4 unit/second instead of 1/2 unit/second.

The current rate of expension of the radius,

\frac {r(t)}{t}=frac 1 4 unit/second ...(i)

The resultant composite function is area, A(r(t)).

The area of a circular region having radius r is,

[tex]A(r)=\pi r^2[/tex]

If the radius is the function of time, then the composite function is

[tex]A(r(t))=\pi \(r(t))^2[/tex]

To determine the rate of change of area with respect to time, differentiate the composite function A(r(t)) once with respect to time, we have

[tex]\frac {d\{A(r(t))\}}{dt}=\pi \left(2\frac {d\{r(t)\}}{dt}\right)[/tex]

So, the composite function is changing twice of the rate of change of the radius.

By using equation (i), if r(i) is changing with R= 1/4 unit / second.

Then, A(r(t)) will change 2 x 1/4 = 1/2 square unit/second.

Answer:

the correct answer is 84.5$

Step-by-step explanation:

The way how i got this because 3*9 for the t shirts

2*20 for the jeans

and 5*3.50 for the socks

Answer:

$84.50

Step-by-step explanation:

So we know she buys 3 nine dollar shirts

$9.00 times 3 shirts is $27.00

She also buys two pairs of jeans

$20.00 times 2 is $40.00

Finally she buys 5 pairs of socks

$3.50 times 5 is 17.50

so lets add it all up

27.00

40.00

17.50

=84.50

Answer: 6:19

Step-by-step explanation:

Students playing basketball is 12

Students playing football is 38

12/38

Since 2 is a common factor of both 12 and 38. Therefore 12 and 38 are divisible by 2

6/19

6:19

Answer

D

Step-by-step explanation:

Answer:

6p

Step-by-step explanation:

Putting a variable next to the coefficient is the same thing as multiplying. You always put the number before the letter.

Hope that helps and have a great day!

The product of p and 6 is written as 6p.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression as;

'The product of a number p and six'

Now, The multiplication of two number is written with sign ( × ).

Thus, The product of a number p and six is written as;

⇒ p × 6

⇒ 6p

Thus, The product of p and 6 is written as 6p.

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Answer:

I can't see what the proof is for the first picture :( but I answered the second one.

Step-by-step explanation:

statement                         reasons

BX bisects ABC                given

XBC + ABX = ABC            angle bisector theorem

ABC divided by 2 = BX     division property

BX = 45                              symmetric property

i hope this helps

Answer:

The temperature dropped 14 degrees.

Step-by-step explanation: x = 14

x + (-5)= 9

The absolute value (distance from zero) of -5 is 5.

The absolute value of 9 is 9.

To find the drop in temperature, add the absolute values of both numbers.

Answer:

165.43

Step-by-step explanation:

36.115/3.1=11.65

To check: 7.1*65=82.715

So...

14.2*11.65=165.43

Answer:

y=1/5(x+8)-9

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=1/5(x+8)-9

Answer:

[tex]y+9=\frac{1}{5} (x+8)[/tex]

Step-by-step explanation:

We are given that a line has a slope (m) of 1/5, and passes through the point (-8, -9).

We want to write the equation of this line in point-slope form.

Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.

As we are given both the slope and the point, we can plug those values into the equation.

Starting with the slope, we can replace m with 1/5.

[tex]y-y_1=\frac{1}{5} (x-x_1)[/tex]

Now, substitute -8 as [tex]x_1[/tex] and -9 as [tex]y_1[/tex]. We get:

[tex]y--9=\frac{1}{5} (x--8)[/tex]

This can be simplified to:

[tex]y+9=\frac{1}{5} (x+8)[/tex]

Answer:

r and s

Step-by-step explanation:

Answer:

I think the answer is either 26 or 28 (for the second one)

The answer is 9 for the third one

and 7 for the last one.

as for the first one, sorry, but I don't know the answer :(

Step-by-step explanation:

I hope I was able to help!

8 9/10 x 1 4/5

Exact Form:

801/50

Decimal Form:

16.02

Mixed Number Form:

16 1/50

sorry i only did 1

Answer:

6

Step-by-step explanation:

Given that there are tickets in the draw which are numbered from 1 to 25.

Probability of an event E is given by the formula:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Probability of each number can be found out as:

Number of favorable cases for each number is 1 and total number of cases here is equal to the total number of tickets i.e. 25.

[tex]P(Each\ Number) = \dfrac{1}{25}[/tex]

Now, the numbers less than 5 mean 1, 2, 3 and 4.

Therefore, 4 number of favorable cases.

[tex]P(1, 2, 3\ or\ 4) = \dfrac{4}{25}[/tex]

Now, it is given that 40 tickets are drawn.

Number of times, the numbers less than 5 are expected:

[tex]\dfrac{4}{25}\times 40 \approx 6[/tex]

Answer:

The answer is "12"

Step-by-step explanation:

Let f(x) be the function, where x specified in a certain section by the series of queries that have been addressed also as function.

[tex]\to f(12)=18[/tex] it implies, that even a test the person gets 18 points to packed up x queries. Its right series of issues were also:

[tex]\to f(x) = f(12)[/tex]

Therefore x = 12, The correct number of questions in the segment.

Answer:

x = -51/2

Step-by-step explanation:

f(x) = 2x + 61 - 4

Since we are looking for the values where f(x) = 6, replace f(x) with 6 in the equation:

6 = 2x + 61 -4

Next combine like terms:

6 = 2x + 57

Then move subtract 57 from both sides to isolate the variable:

-51 = 2x

Finally, divide both sides by two to get x by itself:

x =-51/2

Answer:

69

Step-by-step explanation:

Replace x with 6.

2(6) =12 +61= 73-4=69

Answer: x > -12

Step-by-step explanation:

Answer:

A. ASA

Step-by-step explanation:

The point in which they are connected is equal on both sides, it is an even 90-degree angle. The two lines indicate that the side is equal on both triangles and the red curve indicates that the angle is equal on both triangles. So it is congruent by ASA.

Answer:

#1

Sorry if wrong!!

Answer:

B. 60ft

Step-by-step explanation:

if a 6ft box casts a 2ft shadow, then the water towers height would be 3 times its shadow. 20 x 3 = 60ft