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Lemur [1.5K]
3 years ago
5

Complete this statement 27x^4a^2+18x^2a^3=9x^2a^2 ( )

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0
<span>27x</span>⁴<span>a</span>²<span>+18x</span>²<span>a</span>³<span>=9x</span>²<span>a</span>²(3x²+2a)
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Find the probability of rolling a prime number on the first die and even number on the second
Zinaida [17]

Answer:

0.25

Step-by-step explanation:

Prime outcomes on a die: 2,3,5

P(prime) = 3/6 = 1/2

Even outcom: 2,4,6

P(even) = 3/6 = 1/2

P(prime & even)

= P(prime) × P(even)

= ½ × ½

= ¼ or 0.25

4 0
3 years ago
Write an equation of the line perpendicular to the given line that contains P.
Shalnov [3]

Answer:

Step-by-step explanation:

perp. -5

y + 7 = -5(x - 4)

y + 7 = -5x + 20

y = -5x + 13

8 0
3 years ago
Find me equation of the circle with Center at ( 3, - 2) and radius of 3
blondinia [14]

The equation of a circle with center (x_0,y_0) and radius r is

(x-x_0)^2+(y-y_0)^2=r^2

In your case,

x_0=3,\quad y_0=-2,\quad r=3

Plug these values into the generic formula and you'll get your equation.

5 0
3 years ago
​ On a certain hot​ summer's day, 335 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 fo
spin [16.1K]

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

4 0
3 years ago
Billy Bob made 16 quarts of lemon juice. How many liters of lemon juice did Billy Bob make?
pav-90 [236]

Answer:

15.14

Step-by-step explanation:

8 0
3 years ago
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