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const2013 [10]
1 year ago
15

Suppose that each semester at a particular community college Manuel has to pay $1478 in tuition and $121 in fees.

Mathematics
1 answer:
Kamila [148]1 year ago
5 0

Answer:

Step-by-step explanation:

<em>Let x be time, in semesters, remaining before Manuel graduates</em>.  We find that Manuel's expenses are:

$1478/semester in tuition, and

$121/semester in fees

1.  <u>x semesters remaining:  fees</u>

  Remaining cost for fees, y, is the product of the fee times the number of semesters, x:

y =($121/semester)*x

y = ($121)*x

2.  <u>x semesters remaining:  tuition</u>

  Remaining cost, y, is the product of the tuition (times the number of semesters, x.  

y = ($1478/semester)*x + ($121/semester)*x

y = ($1599)*x

3.  <u>x semesters remaining:  tuition and fees</u>

  Remaining cost, y, is the sum of the products of the tuition (times the number of semesters, and the fees (tix.  

y = ($1478/semester)*x + ($121/semester)*x

y = ($1599)*x

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What is the area of the shape below
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Answer:

The area of the shape is A=886 \:cm^2.

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First  separate the composite shape into three simpler shapes, in this case two rectangles and  a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is A=34\cdot 16=544\:cm^2

The area of the second rectangle is A=11\cdot19=209\: cm^2

The area of a triangle is given by the formula A=\frac{1}{2} bh where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2

Finally, add the areas of the simpler figures together to find the total area of the  composite figure.

A_{composite\:shape}=544+209+133=886 \:cm^2

3 0
3 years ago
Danielle wants to purchase some clothes. He has $75. He buys one leather jacket for $39 and 3 pairs of socks. Each pair of socks
butalik [34]

$12 each. $75 - $39 = $36. $36 divided by 3 = $12. Assuming he used all his money.


8 0
3 years ago
What is the surface area of a tank that has a length of 30 feet, a width of 15 feet?
Lady bird [3.3K]

Answer:

450

Step-by-step explanation:

Multiply the length (30) by the width (15)

30x15=450

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2 years ago
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Answer:

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3 years ago
1. Write a two-column proof for the following conjecture. You may not need to use all of the rows of the two-column table provid
marshall27 [118]

Answer:  

Given: ABCD is a parallelogram.

Prove: Angle A and B are supplementary and C and D are supplementary.

That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°


                Statement                                                Reason

1. ABCD is a parallelogram              1. Given  

2.m∠A=m∠C and m∠B=m∠D         2. Definition of parallelogram.

3.m∠A+m∠B+m∠C+m∠D=360°      3. Definition of quadrilateral

4. m∠A+m∠B+m∠A+m∠B=360°     4. By substitution

⇒ 2( m∠A + m∠B ) = 360°

⇒ m∠A + m∠B = 180°

Similarly, m∠C + m∠D = 180°

5.∠A and ∠C are supplementary,  5. Def. of Supplementary

∠ B and ∠D are supplementary

7 0
3 years ago
Read 2 more answers
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