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adell [148]
3 years ago
5

Suppose that factory a produces 12 tables and 6 chairs an hour while factory b produces 8 tables and 4 chairs and hour. how many

hours should each factory work to produce 48 tables and 24 chairs? how many different solutions are there to this problem?
Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
A. 48 / 12 = 4   24 / 6=4    Factory A should work 4 hours.
B. 48 / 8 = 6   24 / 4 = 6   Factory B should work 6 hours.

Hope this helps!
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Suppose lines EF and GH are reflected over the line Y equals X to form the lines JK and LM which statement would be true about t
katrin [286]

Answer:

A) JK and LM will be parallel to each other.

Step-by-step explanation:

On reflection on y=x line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

(x,y)\rightarrow (y,x)

Points on line EF

(0,6) , (-5,-2)

On reflection of this line on y=x the new points we get for line JK are

(6,0),(-2,-5)

Points on line GH

(-4,9),(-9,1)

On reflection on y=x line the new points we get for line LM are

(9,-4),(1,-9)

Slope of line JK

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-5)-0}{(-2)-6} \\m=\frac{-5}{-8}=\frac{5}{8}

Slope of line LM

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-9)-(-4)}{1-9} \\m=\frac{-9+4}{-8}=\frac{-5}{-8}\\m=\frac{5}{8}

For two line to be parallel, their slopes will be same.

m_{JK} =\frac{5}{8} , m_{LM}=\frac{5}{8}

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.

5 0
3 years ago
What is 6.729 x 8.3 (show ur work)
katen-ka-za [31]

Answer:92,817,765

Step-by-step explanation:Arrange the numbers one on top of the other and line up the place values in columns. The number with the most digits is usually placed on top as the multiplicand.

Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number

Write the answer below the equals line

If that answer is greater than nine, write the ones place as the answer and carry the tens digit

Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.

When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.

Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.

When you finish multiplying, draw another answer line below your last row of answer numbers.

Use long addition to add your number columns from right to left, carrying as you normally do for long addition.

Long Multiplication with Decimals

Long multiplication with decimals using the standard algorithm has a few simple additional rules to follow.

Count the total number of decimal places contained in both the multiplicand and the multiplier.

Ignore the decimals and right align the numbers one on top of the other as if they were integers

Multiply the numbers using long multiplication.

Insert a decimal point in the product so it has the same number of decimal places equal to the total from step 1.

4 0
2 years ago
Read 2 more answers
The momentum of an object, p, is determined by its mass, m, and its velocity, v. The formula for this relationship is shown.
timama [110]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
Apa yang dimaksud partikel? ​
Anna11 [10]

Answer:

b                                

Step-by-step explanation:

5 0
3 years ago
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G(x)=3x-4 find (gog) (x)
Anestetic [448]

Answer:

gog(x)=9x-16

Step-by-step explanation:

We are given g(x)=3x-4 and are asked to find (gog) (x)

gog(x)=g(g(x))

g(x)=3x-4

Hence

g(g(x))=g(3x-4)

=3(3x-4)-4

=9x-12-4

=9x-16

Hence

gog(x)=9x-16

5 0
3 years ago
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