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fgiga [73]
3 years ago
7

To edit a manuscript, Miguel charges 12 dollars per hour for the first 4 hours and 15 dollars per hour after the first 4 hours.

Write an expression for the amount, in dollars, Miguel charges if it takes him t hours to edit a manuscript, where t>4 ?
Mathematics
1 answer:
aleksley [76]3 years ago
5 0

Answer:

C = 12 + 15(x - 4)

C = 15x - 48

Step-by-step explanation:

Let the number of hours = t

The total amount Miguel earns =

C

To edit a manuscript, Miguel charges 12 dollars per hour for the first 4 hours and 15 dollars per hour after the first 4 hours.

C = 12 + 15(x - 4)

Expand the t

C = 12 + 15x - 60

C = 15x - 48

Therefore, an expression for the amount, in dollars, Miguel charges if it takes him t hours to edit a manuscript, where t>4 is given as:

C = 15x - 48

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Please help explanation if possible
Eva8 [605]

Answer:

612 adults

361 students

Step-by-step explanation:

To solve this question, set two equations:

Let x be number of adults and y be number of students.

As there are in total 937 people, the equation would be the sum of both adults and children:

x+y=937

x=937-y  ...... ( 1 )

As the total sale amount is $1109, the equation would be to add up the ticket fee:

2x+0.75y=1,109  ...... ( 2 )

Put ( 1 ) into ( 2 ):

2(937-y)+0.75y=1,109

1874-2y+0.75y=1,109

-1.25y=-765

y=763/1.25

y=612

Put y into ( 1 ):

x=973-612

x=361

Therefore there are 612 adults and 361 students.

5 0
2 years ago
3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p
Kazeer [188]

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

D = \sqrt{L^2 + W^2}

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

brainly.com/question/17297081

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8 0
1 year ago
If Q is between P and R, then PQ+QR=PR what is the propety
Marina86 [1]

Answer:

Segment Addition Postulate

Step-by-step explanation:

8 0
2 years ago
Students are making ornaments and each takes 1/4 of a piece of Bristol board. They go to the cupboard and find 2 1/2 pieces of B
coldgirl [10]

Answer: 10 ornaments

Step-by-step explanation:

From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.

The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:

= 2 1/2 ÷ 1/4

= 5/2 ÷ 1/4

= 5/2 × 4/1

= 10

They can make 10 ornaments

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James rolls a number cube, with sides labeled 1 through 6, two times. What is the probability James will roll an even number the
charle [14.2K]

Answer:

1/6

Step-by-step explanation:

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