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Bogdan [553]
3 years ago
11

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

Mathematics
1 answer:
Tems11 [23]3 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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A trapezoid has a height of 8 cm and bases with lengths of 14 cm and 8 cm. Tina says the area of the trapezoid is 176 cm2.
Sonbull [250]

Answer:

Step-by-step explanation:

Let's do this properly:

                                 

Area of trapezoid =  average length times height.

Here,

Area = (1/2)(8 cm + 14 cm)(8 cm), or

         = (11 cm)(8 cm) = 88 cm^2

It appears that Tina forgot to divide the sum of 14 cm and 8 cm by 2.  Thus, her answer is twice as large as it should be.

7 0
3 years ago
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Temka [501]

Answer:

A rational number is defined as a number that can be written as a fraction and a number that terminates.

An irrational number is defined as a number that can't be written as a fraction and a number that has no end.

Step-by-step explanation:

4/7 is irrational because, in decimal form, it is 0.57142857...

Square root of 30 is also irrational because the square root is 5.47722557...

21 divided by square root of 4 is rational because square root of 4 is 2 and 21 divided 2 is 10.5.

pi is irrational because, in decimal form, it is 3.14159265....

-27 is also rational because it terminates

5 0
2 years ago
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Ali is moving into her new apartment. Her bedroom on the floor plan is 3 inches. If the floor plan uses a scale of 1 inch = 4 fe
spayn [35]

Answer:

12 feet.

Step-by-step explanation:

1 inch = 4 feet.

Multiply 3 by 4.

3×4=12

I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.

Hope this helps!

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2 years ago
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nasty-shy [4]

Step-by-step explanation:

The Fifteenth Amendment had the most long and short term effects. It helped the Republican Party to win in 1870, and this party brought extreme changes to the south. With the passing of this amendment, African Americans felt more empowered to participate in politics and hold office.

The Fifteenth Amendment had the most long and short term effects. It helped the Republican Party to win in 1870, and this party brought extreme changes to the south. With the passing of this amendment, African Americans felt more empowered to participate in politics and hold office.

The Fifteenth Amendment had the most long and short term effects. It helped the Republican Party to win in 1870, and this party brought extreme changes to the south. With the passing of this amendment, African Americans felt more empowered to participate in politics and hold office.

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3 0
3 years ago
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Solve the formula for the volume of a cone for the height of the cone, h. The formula is: V = 1/3 pir^2h
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80085 because this is the circumference which u multiply across surface area that gives u the volume.
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