The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. Find the constant of proportionality k to 2 decimal places if 305 workers work 2 hours and can produce 5880.4 widgets

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[tex]\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}[/tex]

There are 100 centimetres in a metre. So, our denominator will be 100.

The numerator is 5 because that is the number of centimetres.

⇒ [tex]\frac{5}{100}[/tex]

This fraction can be reduced, since 5 goes into the denominator evenly.

5 ÷ 5 = 1

100 ÷ 5 = 20

So, our reduced fraction is [tex]\frac{1}{20}[/tex]

Answer:

-21

Step-by-step explanation:

Let the number be x.

x + 28 = 7

x = 7 - 28

x = -21

Answer:

a = 1/5 b

Step-by-step explanation:

A direct variation is given by

a = k*b where k is the constant of variation

3 = k* 15

Divide each side by 15

3/15 = k*15/15

1/5 = k

a = 1/5 b

Answer:

a = 1/5 b

Step-by-step explanation:

Answer:

  f(n+1) = f(n) +5

Step-by-step explanation:

Since f(n) is a term, and f(n+1) is the next term, and since the next term is 5 more than the one before, you expect the formula to look like

  f(n+1) = f(n) +5

Answer:

 f(n+1) = f(n) +5

Step-by-step explanation:

Answer:

(10,24)

Step-by-step explanation:

Well first we plug in y = 3x - 6 for y in y = 2x + 4

3x - 6 = 2x + 4

Then we combine like terms and seperate x.

x - 6 = 4

x = 10.

If x is 10 we plug that in

y = 3(10) - 6

y = 30 -6

y = 24

(10,24)

Answer:

4.42

Step-by-step explanation:

Angles A and C are identical because the two circles are similar.

The arc length formula is s = rФ, where r is the radius and Ф is the central angle.

If we know s and r, then the central angle Ф is s/r, or, in this case,

Ф = 8.84/5.

Now let's find the length of the arc EF:  s = rФ becomes:

s = (2.5)(8.84/5) = 4.42

Answer:

If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.

Therefore, the ratio would be 345:575.

Hope this is right and helps :)

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

[tex]Tan\ x = \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ x = \frac{5}{8}[/tex]

[tex]Tan\ x = 0.625[/tex]

Take arctan of both sides

[tex]x = tan^{-1}0.625[/tex]

[tex]x = 32.0053832081[/tex]

[tex]x = 32[/tex] (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

[tex]Tan\ y = \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ y = \frac{8}{5}[/tex]

[tex]Tan\ y = 1.6[/tex]

Take arctan of both sides

[tex]y = tan^{-1}1.6[/tex]

[tex]y = 57.9946167919[/tex]

[tex]y = 58[/tex] (Approximated)

By comparing the angles, the smallest angle is 32 degrees

Step-by-step explanation:

work is shown and pictured

Answer:

²²⁵/₂  servings or 112 ¹/₂ servings

Step-by-step explanation:

assuming that Jennifer will serve ²/₃ of a pound of ice cream per serving, then the maximum amount of servings that she can make = total pounds of ice cream / individual serving of ice cream

= 75 pounds / (²/₃ pound)

= (75 pounds x 3) / 2 pounds

= ²²⁵/₂  servings or 112 ¹/₂ servings

Answer:

774 km

Step-by-step explanation:

Actual distance

[tex] =\frac{4.3}{100000} \times 18000000 \\ \\ = 4.3 \times 180 \\ = 774 \: km[/tex]

1)

4136 mm = 4136/1000 = 4.136 m = 4.14 m

2)

Since 1 yard = 91.44 cm

Hence, 14.7 yard = 14.7*

91.44 = 1,344.168 cm = 1344 cm

3)

342 inches = 9 yards, 1 ft, 6 inches.

Answer:

70

Step-by-step explanation:

You have to use ratios.  If 5 of 12 members bought water, then x of 168 members will buy water.

[tex]\frac{5}{12} = \frac{x}{168}\\12x = 840\\x = 70[/tex]

70 members will buy bottled water.

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using this formula, we get

[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]

[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]

Now,

[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

Answer:

116.4 Square Inches

Step-by-step explanation:

Base Area of the Triangular Pyramid

[tex]=\dfrac12 \times 8 \times 6.9\\\\=27.6$ square inches[/tex]

Surface Area of the three sides

[tex]=3 \times \dfrac12 \times 8 \times 7.4\\\\=88.8$ square inches[/tex]

Therefore, the area of wood needed to build the clock

=27.6+88.8

=116.4 Square Inches

Answer:

C

Step-by-step explanation:

I hope it helps

Answer:

(-1,-1), (2,1), (5,3)

Step-by-step explanation:

We can use the formula: rise/run to solve x and y. Since we know the slope is 2/3, 2 will be rise (going up on y axis), and 3 will be run (moving right on x axis).

We are given the point, (2,1) which we can use to find the 2 points that are needed. By using rise/run, we can find the highest point which is (5,3)

How to get the highest point:

(2 + 3, 1 + 2)

Now we can find the lowest point: (-1,-1)

(2 - 3, 1 - 2)

Answer:

y=2/3x - 3

Step-by-step explanation:

In order to move an equation down, you just subtract how many units you want to move down on the graph. In this case, you want to move 3 units down, so that's why you subtract by 3. Easy as that!

Answer:

an=n^3-n^2-6

Step-by-step explanation:

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

The computation of the probability is shown below:

P(die and spinner) is

= Probability of the die × probability of the spinner.

where,

Probability of the die is

= [tex]\frac{1}{6}[/tex]

And for the spinner, the probability is

= [tex]\frac{1}{5}[/tex]

Therefore the probability of both die and inner is

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

= [tex]\frac{1}{30}[/tex]

We simply multiplied the probabilities of both die and spinner

Answer:

For Plato Users

Step-by-step explanation:

Plato

Answer:

The amount is $239.43

Step-by-step explanation:

The amount she will earn after 5 years is given by

A= p(1+r/n)^(nt)

P = $200

r = 0.036

n = 12*5 = 60

t = 5

A= 200(1+0.036/60)^(300)

A= 200(1+0.0006)^(300)

A= 200(1.0006)^300

A= 200(1.19715)

A= 239.43

The amount is $239.43

Answer:

She will earn $1,126.32 from interest.

Step-by-step explanation:

I did it on edmentum and this was the right answer

Answer:

How could he have used 9 lbs of lemons when he only went and bought 2 1/4 lbs? So, his work was NOT correct.

Step-by-step explanation:

Answer:

it is d

Step-by-step explanation:

got it right

Answer:

9. 64

10. 21

11. A (I believe)

Step-by-step explanation:

The first two were simple math problems, however 11. was a bit more complicated and I used logic to find the numbers that best fit into the problem. I am not sure that it is the right answer and if I were you I would wait for someone else to answer this question.

Answer:

Step-by-step explanation:

To find the additive inverse of polynomial expression, flip the sign of each term.

6x² ----> -6x²

-x ----->  +x

-2 -----> +2

Additive inverse:

-6x² + x + 2

Answer:

C. undefined.

Step-by-step explanation:

Find the slope of the line, using the following equation:

m = (y₂ - y₁)/(x₂ - x₁)

Find two points that are located on the line.

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (-4 , 1)

Plug in the corresponding numbers into the corresponding variables.

m = (1 - 0)/(-4 - (-4))

Note that when you have two negative signs directly next to each other, it becomes an addition:

m = (1)/(-4 + 4) = 1/0

You cannot have a slope of rise 1, run 0, so your answer is undefined.

C. undefined.

~

Answer:

Option (1)

Step-by-step explanation:

This question is incomplete; find the complete question in the attachment.

Given table represents a linear function.

Two ordered pairs given in the table (0, 5) and (4, 9) pass through the function .

If the two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] lie on a line,

Slope of the line will be = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the linear function represented by the table = [tex]\frac{9-5}{4-0}[/tex]

Therefore, Option (1) will be the correct option.

Answer:

[tex]128m^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{1}{2} (\frac{b}{h} )\\A=\frac{1}{2} (\frac{8}{8} )\\A=\frac{1}{2} (64)\\A= 32 m^{2} \\[/tex]

So, the area of 1 triangle is 32m^2.

To find the whole area, you will have to multiply 32 by 4.

Hence, your answer is [tex]128m^{2}[/tex]

Your answer would be 0.14 to the nearest hundredth.

The question P(Walk to school | Senior) is asking for the probability that a student walks to school given that they're a senior. Therefore we have to count how many total senior students there are, which is 35.

To form the probability, we then need to see how many of these 35 students walk to school, which we're given as 5. Thus, the probability is 5/35 which simplifies to 1/7.

1/7 as a decimal is 0.1429, which, when rounded to the nearest hundredth, gives us 0.14.

I hope this helps! Let me know if you have any questions :)

Answer:

The answer is d

Step-by-step explanation:

0.09

Answer:

[tex]\boxed{\sf D. \ 0.09}[/tex]

Step-by-step explanation:

[tex]\sf y = 0.3^x[/tex]

[tex]\sf Plug \ x \ as \ 2.[/tex]

[tex]\sf y = 0.3^2[/tex]

[tex]\sf y =( \frac{3}{10} )^2[/tex]

[tex]\sf y =\frac{3^2 }{10^2 }[/tex]

[tex]\sf y =\frac{9}{100 }[/tex]

[tex]\sf y =0.09[/tex]

Answer:

can you retype the equation

I think it is not correctly typed

Answer:

-1.76

Step-by-step explanation:

-2 is equal to -2, so it works (greater or less than -2)

-2.45 is less than -2, so it works

-8 is less than -2, so it works

-1.75 is greater than -2, so it doesn't work

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In this question some information is missing that's why we explain "operating expenses".  

The Operating costs are paid in the business transactions and include property taxes, materials, stock costs, marketing, salary, health coverage, and R&D investments.