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fenix001 [56]
3 years ago
8

A chain saw requires 5 hours of assembly and a wood chipper 4 hours. A maximum of 40 hours of assembly time is available. The pr

ofit is $150 on a chain saw and $230 on a chipper. How many of each should be assembled for maximum​ profit?
Mathematics
1 answer:
iris [78.8K]3 years ago
8 0
So first you need to by the chain saw and the chipper for $380. It should only take you about 9 hours to assemble it. And lets say that the 31 hours you were looking for the best of the best chain saw and chipper.
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Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long . Zach makes his fence
saul85 [17]

For this case we have that by definition, the area of a rectangle is given by:

A = w * l

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

Each of the girls has 24 feet of fencing, that is, the perimeter is P = 2w + 2l = 24.

Amy:

l = 6 \ ft\\2w + 2 (l) = 24\\2w + 2 (6) = 24\\2w + 12 = 24\\2w = 24-12\\2w = 12\\w = 6

Thus, Amy's fence area is: A = 6 * 6 = 36 \ ft ^ 2

Zach:

l = 8 \ ft\\2w + 2l = 24\\2w + 2 (8) = 24\\2w + 16 = 24\\2w = 24-16\\2w = 8\\w = 4

Thus, the area of Zach's fence is:A = 4 * 8 = 32 \ ft ^ 2

Answer:

Amy's garden has a greater area

36 \ ft ^ 2-32 \ ft ^ 2 = 4ft ^ 2, is 4 \ ft ^ 2greater

5 0
4 years ago
Read 2 more answers
Sphere with a radius of a radius of 42 inches
prisoha [69]

Answer:

310339.1 in^3

Step-by-step explanation:

Volume=4/3*pi*r^3

Volume=4/3*pi*42^3

Volume=4/3*pi*74088

Volume=98784*pi

Volume=310339.0887

So the volume is about 310339.1 in^3

5 0
3 years ago
Thomas earns $8.75 per hour grooming dogs. He wants to go to the movies with a $50 this weekend. Which equation can he use to fi
sveta [45]

Answer:

8.75h = 50

Step-by-step explanation:

h is the number of hours Thomas needs to groom the dogs.

The rate is $8.75 per hour.

His goal is $50.

$8.75 × h = $50

$8.75h = $50

6 0
3 years ago
Read 2 more answers
Write a rule for the function whose graph can be obtained from the given parent function by performing the given transformations
kati45 [8]

ANSWER

g(x) =   {(x + 5)}^{3}  + 4

EXPLANATION

Given the parent function:

f(x) =  {x}^{3}

If we shift the graph of f(x), 5 units to the left, then the new rule is

x \to \:  {(x + 5)}^{3}

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

x \to \:  {(x + 5)}^{3}  + 4

Or

g(x) =   {(x + 5)}^{3}  + 4

7 0
3 years ago
A box of chocolates contains 18 chocolate squares, tens of the square are milk chocolate, 5 are dark chocolate, and 3 are.white
Step2247 [10]

Answer:

0.167 ; 0.093

Step-by-step explanation:

Given that:

Total number of chocolate squares = 18 of which÷

Number of milk chocolate square = 10

Dark chocolate square = 5

White chocolate square= 3

Probability of choosing a white chocolate square :

Probability = required outcome / Total possible outcomes

Required outcome = white chocolate square = 3

Number of chocolate square = 18

P(choosing a white chocolate square) = 3 / 18 = 1/6 =

B) probability of randomly selecting a milk chocolate first, replace it, and then select a white chocolate?

With replacement :

First pick :

Number milk chocolate = 10

P(choosing a milk chocolate) = 10/18 = 5/9

Second pick:

Number of white chocolate = 3

P(choosing a white chocolate) = 3 / 18 = 1/6

Hence, since both probabilities are independent :

P(choosing milk, then white chocolate) :

(5/9 × 1/6) = 5/54 = 0.0925 = 0.093

8 0
3 years ago
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