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Julli [10]
3 years ago
12

Rewrite the fraction in the sentence below as a percentage.

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Answer:

42%

Step-by-step explanation:

To find the percentage of a fraction, you divide the numerator by the denominator and multiply by 100:

\frac{21}{50}=21/50=0.42*100=42percent

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A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by
garik1379 [7]

Answer:

x^2+12x-220=0 -- Proved

x = 10\ \ \ x = -22

Step-by-step explanation:

Given

Volume = 924cm^3

Dimension: 4cm; (x+1)cm; (x+11)cm

Required

Show that x^2+12x-220=0

The volume is calculated as:

4 * (x + 1) * (x + 11) = 924

Open the brackets

(4x + 4) * (x + 11) = 924

4x^2 + 44x + 4x + 44 = 924

4x^2 + 48x+ 44 = 924

Collect Like Terms

4x^2 + 48x+ 44 - 924=0

4x^2 + 48x -880=0

Divide through by 4

\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0

x^2+12x-220=0

Solving further:

Expand the expression

x^2 + 22x - 10x - 220 = 0

Factorize:

x(x + 22) - 10(x + 22) = 0

(x - 10)(x + 22) = 0

Split:

x - 10 = 0;\ \ \ x + 22 = 0

x = 10\ \ \ x = -22

5 0
3 years ago
An item on sale costs 80% of the original price. The original price was $22.
sergejj [24]

Answer:

17.6

Step-by-step explanation:

22 x .80 =17.6

17.6 is 80% of 22 so that would be your answer

8 0
3 years ago
Given f (x ) = x^2 + 3x + 2 and g (x ) = x + 1, perform the indicated operations.
Nana76 [90]

Answer:

(i) (f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2

Step-by-step explanation:

The given functions are;

f(x) = x² + 3·x + 2

g(x) = x + 1

(i) (f - g)(x) = f(x) - g(x)

∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1

(f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = f(x) + g(x)

∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3

(f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = f(x) × g(x)

∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2

(f·g)(x) = x³ + 4·x² + 5·x + 2

7 0
3 years ago
Brian can type 1 and one-third pages every 20 minutes. How many pages can he type in 2.5 hours? 7.5 pages 10 pages 22.5 pages 20
vladimir2022 [97]

Answer:

10 pages

Step-by-step explanation:

1 and 1/3 pages multiplies by 7.5 brings us to the answer of ten pages

20 minutes goes into 2 and 1/2 hours 7.5 times

5 0
4 years ago
Read 2 more answers
8 times the sum of a and b
LenaWriter [7]

Answer:

c

Step-by-step explanation:

i did the quiz

4 0
3 years ago
Read 2 more answers
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