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chubhunter [2.5K]
3 years ago
10

Of new calculators tested,8 were defective and 42 passed inspection. What ratio compares the number of defective calculators to

the number of new calculators?
Mathematics
2 answers:
sesenic [268]3 years ago
4 0
The number of new calculators tested was 50 . . . 8 were bad and 42 were good.

The ratio of defective ones to new ones tested is 8:50 or 4:25 or 16% .
tatuchka [14]3 years ago
3 0
You simply put the 2 numbers together to find the answer, which is 8:42.  

You want to find the ratio in its simplest form.  Therefore, you want to find the lowest common multiple of 8 and 42.  
2 goes into both numbers.  
8 / 2 = 4.  
42 / 2 = 21

The answer is 4:21. 
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2. It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work four days per week. He buys a bo
Maurinko [17]
$27

2.65 x 2 (since he has to go both to and from work each day) = $5.30
Add the daily cost of the water bottle (1.45) to make his total cost for one day, which is 6.75
Multiply this number by 4 (because he goes 4 days a week) to get $27 for one week.
6 0
2 years ago
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t
Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

A_1 = \pi*radius^2/2

A_1 = \pi*(w/2)^2/2

A_1 = \pi/8*w^2

And the area of the rectangle is:

A_2 = w*x

If the perimeter of the window is 41 feet, we have:

Perimeter = length + 2*width + \pi*radius

41 = x + 2*w + \pi*w/2

x = 41 - w(2 + \pi/2)

Now, the equation for the total area of the window is:

A = A_1 + A_2 = \pi/8*w^2 + w*x

A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))

A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2

3 0
3 years ago
Katie has read 32 % of a book. If she has read 80 pages, how many more pages does Katie have left to read?
mestny [16]
Percentage of pages of a book read by Katie = 32%
Total number of pages of the book read by Katie = 80
Let us assume the number of pages that the book has = x
Then
(32/100) * x = 80
32x = 80 * 100
32x = 8000
x = 8000/32
   = 250
So the book has a total of 250 pages in it.
Then
The number of pages that Katie still needs to read = 250 - 80
                                                                                 = 170
So Katie needs to read 170 more pages in the book.

7 0
3 years ago
Read 2 more answers
−4x + 3y =7 <br> 5x − 2y =35 <br> What is the solution?
Bezzdna [24]

Answer:   x = 39/10     y = 29/5

4 0
2 years ago
Read 2 more answers
Only simplify! please solve
Sholpan [36]

Answer:

-x + 2y - 36

Step-by-step explanation:

-4(x + 9) + 3(x - y) + 5y

Distribute;

-4x - 36 + 3x - 3y + 5y

Collect like terms;

-1x + 2y - 36

7 0
2 years ago
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