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andrew11 [14]
3 years ago
5

~Please I really need help~ Alex works as a carpenter making wooden tables. He is guaranteed a base pay of

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

Alex needs to make 10 tables per week.

Step-by-step explanation:

If his base pay is $300, then subtract it from $800, you get $500. Then divide $500 by how much Alex earns per table, $50, then you get 10. Alex needs to make 10 tables per week.

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Mrs. Smith teaches junior high school. During a class party in fourth
MArishka [77]

Question is Incomplete, Complete question is given below.

Mrs.Smith teaches junior high school. During a class party in fourth period, she used 4/5 liters of soda for 12 students. If she had a class party in fifth period and used the same serving size, how many liters did she use for 30 students?

Answer:

Mrs. Smith used 2 liters of soda for 30 students.

Step-by-step explanation:

Given:

Number of students = 12

Amount of soda used for 12 students = 4/5 liters

We need to find amount of soda used for 30 students.

For 12 students  = 4/5 liters of soda used

For 30 students =  the amount of soda used

By Using Unitary Method we get

Amount of soda used = \frac{4\times30}{5\times12}=\frac{120}{60} =2 \ litres

Hence Mrs. Smith used 2 liters of soda for 30 students.

5 0
3 years ago
How do I find the density? Harold is a woodworker and is interested in finding the density of two different types of wood. He bo
frosja888 [35]

Answer:

The density of the pine log is 0.2842 pounds per inch.

Step-by-step explanation:

To calculate the density of an object, you must divide its mass by its volume (radius times height). Thus, given that the pine log that has a 5-inch radius and is 30 inches long, while its weight is approximately 42.63 pounds, the following calculation must be performed to determine its density:

X = 42.63 / (30 x 5)

X = 42.63 / 150

X = 0.2842

Thus, the density of the pine log is 0.2842 pounds per inch.

4 0
3 years ago
Which function equation is represented by the graph? ​f(x)=12(4/3)x​ ​f(x)=12(1/2)x​ ​f(x)=12(3/2)x​ f(x)=12(2/3)x
Sindrei [870]

it’s d; f(x)= 12 (2/3)^x

6 0
4 years ago
Tonya prepared 4 different letters to be sent to 4 different addresses. for each letter, she prepared an envelop with its correc
nikitadnepr [17]
There are 4! = 24 poosible permutations of the four letters. Let the letters be A, B, C and D. Two permutations will have only letter A in the correct envelope, two more permutations will have only letter B in the correct envelope, two more will have only letter C in the correct envelope and two more will have only letter D in the correct envelope. Therefore 8 out of the 24 possible permutations will have only one letter with the correct address. The required probability is 8/24 = 1/3.
3 0
3 years ago
You are under contract to design a storage building with a square base and a volume of 14,000 cubic feet. the cost of materials
Goryan [66]
The first thing we are going to do for this case is define variables.
 We have then:
 y = the cost of the box
 x = one side of the square base
 z = height of the box
 The volume of the building is 14,000 cubic feet:
 x ^ 2 * z = 14000
 We cleared z:
 z = (14000 / x ^ 2)
 On the other hand, the cost will be:
 floor = 4 (x ^ 2)
 roof = 3 (x ^ 2)
 for the walls:
 1 side = 16 (x * (14000 / x ^ 2)) = 16 (14000 / x)
 4 sides = 64 (14000 / x) = 896000 / x
 The total cost is:
 y = floor + roof + walls
 y = 4 (x ^ 2) + 3 (x ^ 2) + 896000 / x
 y = 7 (x ^ 2) + 896000 / x
 We derive the function:
 y '= 14x - 896000 / x ^ 2
 We match zero:
 0 = 14x - 896000 / x ^ 2
 We clear x:
 14x = 896000 / x ^ 2
 x ^ 3 = 896000/14
 x = (896000/14) ^ (1/3)
 x = 40
 min cost (y) occurs when x = 40 ft
 Then,
 y = 7 * (40 ^ 2) + 896000/40
 y = 33600 $
 Then the height
 z = 14000/40 ^ 2 = 8.75 ft
 The price is:
 floor = 4 * (40 ^ 2) = 6400
 roof = 3 * (40 ^ 2) = 4800
 walls = 16 * 4 * (40 * 8.75) = 22400
 Total cost = $ 33600 (as calculated previously)
 Answer:
 
The dimensions for minimum cost are:
 
40 * 40 * 8.75
8 0
4 years ago
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