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MatroZZZ [7]
3 years ago
8

20 is equal to 5 less than twice a number.

Mathematics
1 answer:
sweet [91]3 years ago
5 0
If we have a number represented by n, we have 20 is equal to, so 20=something. That something is "5 less than twice a number". 5 less than something means something-5, and something-5=20. Since 5 is less than twice a number, and twice a number is n+n=2n, we have 2n-5=20
Actually solving the problem, we can start by adding 5 to both sides, resulting in 2n=25. Next, we can divide both sides by 2 to get n=12.5
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The measure of XYZ is 45. The length of radius YZ is 6 inches. What is the area of sector XYZ?
balandron [24]

Answer:

area of a sector = 14.13 yards²

Step-by-step explanation:

XYZ is a sector of a circle. The radius YZ is 6 inches .The angle of the sector is given as 45°. The area of the sector can be solved as follows.

area of a sector = ∅/360 × πr²

where

r = radius

∅ = center angle

r = 6 inches

∅ = 45°

area of a sector = 45/360 × 3.14 × 6²

area of a sector = 45/360 × 3.14 × 36

area of a sector = 45/360 × 113.04

area of sector = 1/8 × 113.04

area of a sector = 14.13 yards²

6 0
3 years ago
Read 2 more answers
How many 3/4 are in a whole
dezoksy [38]
I believe it to be 0.75
7 0
2 years ago
Simplify : (√ + √ ) (√ − √) ( + )( 2 + 2 )
jek_recluse [69]

(\sqrt{x}+\sqrt{y})(\sqrt{x}-\sqrt{y})(x+y)(x^2+y^2)\\\\=[(\sqrt{x})^2-(\sqrt{y})^2](x+y)(x^2+y^2)\\\\=(x-y)(x+y)(x^2+y^2)\\\\=(x^2-y^2)(x^2+y^2)\\\\=(x^2)^2-(y^2)^2\\\\=x^4-y^4


Used:\\\\(\sqrt{a})^2=a\\\\(a-b)(a+b)=a^2-b^2\\\\(a^n)^m=a^{nm}

6 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
leonid [27]

Answer:

\frac{1}{5^{9} }

Step-by-step explanation:

Using the rule of exponents

a^{-m} = \frac{1}{a^{m} } , then

5^{-9} = \frac{1}{5^{9} }

5 0
2 years ago
Read 2 more answers
This probability distribution shows the typical distribution of pitches thrown to a batter in a given at bat in a baseball game.
Vikki [24]

Answer:

0.35

Step-by-step explanation:

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)

X  is the number of pitches thrown. Therefore:

P(X < 3) = P(X = 1) or P(X = 2)

The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35

The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35

8 0
3 years ago
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