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marusya05 [52]
3 years ago
13

A company buys equal numbers of two different card forms. It utilizes 2/3 of one kind and 9/10 of the other. What fraction of th

e total number is unused?
Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:

13/60

Step-by-step explanation:

Firstly, to solve this problem, we assign a value for the number of card forms bought. Let’s say the company buys 30 of each kind, making a total of 60.

Now, we are made to understand that it utilizes 2/3 of one kind. This is equivalent to 2/3 * 30 = 20 and also 9/10 of another kind, making 9/10 * 30 = 27

Now, we need to know the fraction unused. In the first kind, amount unused is 30 -20 = 10. In the second set, the fraction unused is 30 -27 = 3

Total number unused is thus 10 + 3 = 13

The fraction of total unused is thus 13/(30+30) = 13/60

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Mariulka [41]

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = \frac{63}{6}

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

4 0
3 years ago
pleeeeeeeeeeeease hellllllllp meeeeeee the circle has a center of 0.its raduis is 3 cm,and the central angle A measures 100.what
Vsevolod [243]

Answer:

2.5 pi

Step-by-step explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

Area = (theta/360) pi r^2

Givens

r = 30 cm

theta = 100

Solution

Area = (100 / 360) * pi * r^2       Substitute the givens into this formula

Area = (5 / 18) * pi * 3^2              Expand

Area = (5 / 18) * pi * 9                  Cancel 9 into 18

Area = 5/2 * pi

Area = 2.5 * pi

7 0
3 years ago
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irina [24]

Answer:

Step-by-step explanation:

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8 0
3 years ago
A gallon of water weighs 8.354 pounds.simon uses 11.81 gallons of water taking a shower.about how many pounds of water did simon
Helga [31]
98.66074, you just multiply the two values
6 0
4 years ago
Ignore circled one and work it out please​
mash [69]

Answer:

a. \frac{(x-7)}{x^2+x-30}

Step-by-step explanation:

\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}

3 0
3 years ago
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