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lora16 [44]
3 years ago
6

Recently, Caroline purchased a BBQ grill to use this summer. The cost of the grill was $390 and sales tax

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

hi

Sales  taxes  = 390 *0.074 = 28.86  

Total cost :  390+28.86 =  418.86

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The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If
makvit [3.9K]

Answer: speed is  540 km/h

Step-by-step explanation:   Lets mark speed as v.

Because distenace is same, you can mark   6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions :   10 h / 6 h  =  v / 900 km/h  .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v   ,which gives   10 v = 6 · 900 km/h

and result is same

3 0
3 years ago
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
Ice cream sales and the number of shark attacks have a positive correlation. The conclusion that eating ice cream causes shark a
never [62]

I think the answer is d

3 0
3 years ago
The variable overhead rate variance can be defined as which of the​ following? A. Standard rate x​ (Actual hours​ - Standard hou
Katena32 [7]

Answer:

Step-by-step explanation:

In costing analysis, direct materials, labour and direct expenses aggregate to prime cost.  Alternately, the aggregate of indirect materials, labour  and expenses is termed as overhead.  Overheads are classified into fixed and variable.

Variable overhead is one which varies directly as per number of units produced

Variable overhead rate variance = actual costs -(AHxSR)

= Actual costs - (Actual hours x std rate)

= Actual hours x actual rate - actual hours  x std rate

Hence option D is right.

5 0
3 years ago
A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder​
irina [24]
The exact volume would be 21
4 0
3 years ago
Read 2 more answers
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