If y varies inversely with x and y=2 when x=8 what is K the constant of proportionality

Bob and Ted are in the plumbing business. Bob can do the plumbing hook-up for a new house in 4 hours; Ted does the same job in 6

Stels [109]

Where 1/4 represents Bob and 1/6 represents Ted...
1/4x + 1/6x = 1
Multiply the two so there is no fraction by the GCF of 12.
3x + 2x = 12
Add 3x and 2x.
5x = 12
Divide by 5.
x = 12
Plug this value in.
With that, the answer is 2 hours and 24 minutes with x = 12 meaning 144 minutes.

5 0

2 years ago

Read 2 more answers

A farmer wants to net at least $10,000/acre on the sale of his 80-acre property. If he allows for a total of 10% for commissions

lara [203]

Answer:

$11,111.11

Step-by-step explanation:

Net Money farmer wanted to get the on selling 1 acre = $10,000

Percentage of commission and closing cost incurred by him = 10%

out of 100 %, he will incur cost of 10%,

rest of them will be with him.

In percentage money he would have be = (100 - 10)% = 90%

Thus, 90 % will be net money he would have.

Let the list price be $x

Given that 90% of this $x will be with farmer which is equal to

90% of x = 90/100 * x = 0.9 x

It is given that he wants to net $10000

so 0.9x = $10,000

=> x = $10,000/0.9 = $11,111.11.

Listing price per acre should be at least $11,111.11.

5 0

2 years ago

Four grey polygons join together as shown in the diagram. I’ve calculated angle a but I don’t know angle b. Angle a is 108

mr Goodwill [35]

Answer:

Part 1) $a=108^o$

Part 2) $b=24^o$

Step-by-step explanation:

Part 1) Find the measure of angle a

we know that

The formula to calculate the measure of the interior angle of a regular polygon is equal to

$\frac{180^o(n-2)}{n}$

where

n is the number of sides of the regular polygon

For the regular pentagon in the figure

n=5

substitute in the formula

$a=\frac{180^o(5-2)}{5}$

$a=\frac{180^o(3)}{5}$

$a=108^o$

Part 2) Find the measure of angle b

Remember that a regular polygon has equal sides and equal interior angles

so

In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon

therefore

The triangle in white of the figure is an isosceles triangle

The measure of the vertex angle of the isosceles triangle is equal to

$360^o-(108^o+60^o+60^o)=132^o$

Remember that

The sum of the interior angles of triangle must be equal to 180 degrees

so

$2b+132^o=180^o$

solve for b

$2b=180^o-132^o$

$2b=48^o$

$b=24^o$

7 0

2 years ago

The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes

stiv31 [10]

<h3>Answer:</h3>

6 hours 36 minutes, or 6 hours 31 1/2 minutes

<h3>Step-by-step explanation:</h3>

Dividing the task among the 6 committee members means each member will be making 525/6 = 87.5, that is, either 87 or 88 flowers. (We doubt that two people working together on the same flower will finish it in half the time.)

Each of the three committee members making 88 flowers will take ...

... 88 × 4 1/2 minutes = 396 minutes = 6 hours 36 minutes

Each member making 87 flowers will be finished 4 1/2 minutes sooner, after 6 hours 31 1/2 minutes.

_____

<em>Comment on the problem</em>

This problem seemingly invites you to divide the labor evenly among committe members. Doing that would give you an answer of 6 hours 33 3/4 minutes. You need to ask yourself whether that is practical for this situation.

4 0

2 years ago

4. Lola is 15 years old and works in a factory every weekend. Why might this be illegal? What are the specific laws protecting L

gulaghasi [49]

This is not illegal because she is 15. in factories you have to be at least 15 years old. but age 16 is the appropriate age for you to work in a factory.

5 0

2 years ago