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Lostsunrise [7]
3 years ago
6

5 Tom and Dipak share $114 in the ratio 7:5 Work out how much Dipak gets.

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
8 0
7+5 is 12. 114 divided by 12 is 9.5 so one part is 9.5. Dipaks share is 5 so 9.5 multiplied by 5 is 47.5 so the answer is $47.50
sergij07 [2.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

Tom and Dipak share $114 in the ratio 7:5

Total amount shared = $114

Ratio of Tom to Dipak = 7:5

Total ratio = 7+5 = 12

Dipak got = 5/12 × $114 = $ 47.5

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The town halls of Havertville and Northtown are shown on the map.
MrRissso [65]

Answer:

The distance between the two town halls is 6 units

Step-by-step explanation:

7 0
3 years ago
Find the following product if possible. Explain if it is not possible. <br><br> (See picture)
Nataly_w [17]

Answer:

The answer to your question is the letter a

Step-by-step explanation:

 |    1    4    -1   |      |  2    -1   |

 |    3   2    2   |      |  0     3  |         Product  = 2 x 3   and 3 x 2  = 2 x 2

                              | 5     2  |          It is possible to do this product,

                                                      the result will be a 2 x 2 matrix

Process

1.- Multiply first row by first column and second row by second column.

2.- Multiply the second row by the first column and second row by the second column.

  = (1 x 2) + (4 x 0) + (-1 x 5) = 2 + 0 - 5 = -3

  = (1 x -1) + (4 x 3) + (-1 x 2) = -1 + 12 - 2 = 9

  = (3 x 2) + (2 x 0) + (2 x 5) = 6 + 0 + 10 = 16

  = (3 x -1) + (2 x 3) + (2 x 2) = -3 + 6 + 4 = 7

Result

             |  3   9  |

             | 16   7  |    

4 0
4 years ago
Factor completely: 2x3 + 6x2 + 2x + 6.
Oksi-84 [34.3K]

Answer:

The correct option is A.

Step-by-step explanation:

The given expression is

2x^3+6x^2+2x+6

Taking out the common factor.

2(x^3+3x^2+x+3)

2(x^2(x+3)+1(x+3))

2(x+3)(x^2+1)

The complete factor form of given expression is 2(x+3)(x^2+1). Therefore the correct option is A.

4 0
4 years ago
Read 2 more answers
Which of the following correctly expresses the number 45.623?
Yanka [14]

Answer:

B. 45 tens + 623thousandths

8 0
2 years ago
Factor x3y6 + 27z42. (xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521) (xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78) (x3y6 + 27z42)(x6y12 – 27x3y6z42
Licemer1 [7]

Answer:

x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})

Step-by-step explanation:

Given

x^3y^6 + 27z^{42

Required

Factor

Express both terms as a cube

x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3

Let

a =(xy^2)

b = (3z^{14})

So:

x^3y^6 + 27z^{42} = a^3 + b^3

Using sum of cubes:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

So:

x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)

Substitute in, values of a and b

x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)

x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})

5 0
3 years ago
Read 2 more answers
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