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Bogdan [553]
2 years ago
11

A cabinet maker can build a kitchen island in 10 hours.

Mathematics
1 answer:
Tems11 [23]2 years ago
4 0

Applying the rates, it is found that it would take the apprentice 23.3 hours to complete a kitchen island alone.

To solve this question, we consider that the together rate is the <u>sum of each separate rate</u>. We have that:

  • The cabinet's rate is 1/10.
  • The together rate is 1/7.
  • The apprentice rate is 1/x.

Then:

\frac{1}{7} = \frac{1}{10} + \frac{1}{x}

\frac{x + 10}{10x} = \frac{1}{7}

10x = 7x + 70

3x = 70

x = \frac{70}{3}

x = 23.3

It would take the apprentice 23.3 hours to complete a kitchen island alone.

A similar problem is given at brainly.com/question/16646327

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HELP WITH PROBABILITY PWEASEEE <br> (4 questions)
Aliun [14]

a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Step-by-step explanation:

We will write the sample space of all options one by one.

a. Rolling a 6 sided die

As the die has six sides numbered from 1 to six then the sample space will be:

S1 =  {1,2,3,4,5,6}

b. Guessing the first initial of a student's name:

As the English language has 26 alphabets, the first initial can be any alphabet so the sample space will be all letters:

S2 =  {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. Tossing two coins

As two coins are tossed, the outcomes will be a combination of two outcomes

S3= {HH,HT,TH,TT}

d. Rolling a 6 sided die and tossing a coin

As the die is rolled and then a coin is tossed. The die's coin will either combine with heads or tails

So,

S4 = {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Hence,

a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Keywords: Sample Space, Probability

Learn more about sample space at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

8 0
3 years ago
Jess wants to build the birdhouse shown. She bought a 25​-inch by 50​-inch sheet of plywood. Does Jess have enough wood to make
Lemur [1.5K]

Answer:

it depends on how big jess wants to make  her birdhouse.

8 0
2 years ago
Fred's boat rental charges a rental fee of $30 plus $5 per hour. Joe's boat rental charges a flat rate of $20 an hour. Set the s
zmey [24]
30 + 5h = 20h
30 = 20h - 5h
30 = 15h
30/15 = h
2 = h

at 2 hrs, they both charge the same rate...
30 + 5(2) = 30 + 10 = 40
20h = 20(2) = 40
so at 2 hrs, they both charge $ 40

8 0
2 years ago
The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?​
Maru [420]

Answer:

(2,4)

Step-by-step explanation:

The range is the y values

y = x+5

Let y=7

7 =x+5

Subtract 5

7-5 x+5-5

2=x

Let y= 9

Subtract 5

9-5 x+5-5

4=x

The domain is (2,4)

8 0
3 years ago
Answer the question below thx
AnnZ [28]

Answer:

The second option: "Even though Antartica is cold and has snow, it is a desert."

Step-by-step explanation:

This is the answer because by reading the paragraph, you will see that the main idea is stated in the first few sentences.

5 0
2 years ago
Read 2 more answers
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