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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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Solve the triangle. round your answer to the nearest tenth
kirza4 [7]

Answer:

∡A =41°

~~~~~~~~~~~~

BC=21

~~~~~~~~~~~~~~

sin(24)/AC=sin(41)/21

AC=13

~~~~~~~~~~~~~~

sin(115)/AB=sin(41)/21

AB=29

Step-by-step explanation:

7 0
3 years ago
A TV has a listed price of $510.99 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax incl
Trava [24]

The most appropriate choice for sales tax will be given by-

Total cost of the TV with sales tax included  is $553.15

What is sales tax?

Sales tax is a tax imposed by the government on the price of a commodity for the sale of that commodity. Imposing sales tax on a product increases the price of the product. Nowadays, sales tax has been replaced by Goods and Service Tax (GST).

Here,

Listed price of television = $510.99

Rate of sales tax = 8.25%

Sales tax to be added = \frac{8.25}{100}\times 510.99

                                     = $42.16

Total cost of the TV with sales tax included = $(510.99 + 42.16)

                                                                        = $553.15

To learn more about sales tax, refer to the link:

brainly.com/question/9437038

#SPJ13

5 0
1 year ago
Use Long Division to answer number 4. Please show all work!​
skelet666 [1.2K]

Answer:

2x² + 3x + 4 + (17x + 9) / (x² − 4)

Step-by-step explanation:

Start by setting up the division.  Make sure to write all the coefficients, even the zero ones.

x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7

Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²).  That's 2x²; it'll be the first term in quotient.  Multiply the divisor by 2x²:

2x⁴ + 0x³ − 8x²

Subtract that from the first three terms of the dividend:

3x³ + 4x²

Drop down the next term from the dividend, and start the process all over again.

3x³ + 4x² + 5x

When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.

4 0
3 years ago
There are 14 girls and 12 boys in a class. What is the ratio of girls to students?
frosja888 [35]

Answer:

7:13

Step-by-step explanation:

There are 14 girls and 12 boys, so there are 26 students in total. Since we are looking for the ratio of girls to students, the ratio will be 14:26. To simplify it, we will divide 14 and 26 by their greatest common factor: 2. We will get the ratio of 7:13.

I hope this helped! :)

6 0
3 years ago
A snowplow has maximum speed of 30 miles per hour on a dry highway. Its maximum speed decreases by 1.8 miles per hour every inch
kupik [55]
The depth of the snow would need to be 16 inches in order for the plow to stop moving
4 0
3 years ago
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