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belka [17]
4 years ago
10

A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly

chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.
Mathematics
1 answer:
Serggg [28]4 years ago
4 0

|\Omega|=8\cdot10=80\\ |A|=1\\\\ P(A)=\dfrac{1}{80}

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r. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice a
ad-work [718]

Answer:

  • The equation 2n = p should be 2p = n.
  • The actual cost of the onions is $3.00 per pound.
  • Potatoes cost $1.50 per pound.

Step-by-step explanation:

The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

  2p = n

Then the solution is ...

  6p +3(2p) = 18

  12p = 18

  p = 18/12 = 1.50

  n = 2p = 2(1.50) = 3.00

__

The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.

5 0
3 years ago
PLEASE HELP!! I will make you brainlest.
Dmitry [639]

Answer:

Question 13: 90, Question 14: y = 3\sqrt{10}, Question 15: x = 17\sqrt{3}, Question 16: y = 34\sqrt{3}.

Step-by-step explanation:

7 0
3 years ago
Are rectangular garden has a perimeter of 280 feet the north side of the garden is 90 feet what is the length of the inside of t
attashe74 [19]

The length of the inside of the garden is<u> 50 feet.</u>

What is perimeter ?

A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter.

There are various practical applications for calculating the perimeter. A calculated perimeter is the length of fencing needed to completely encircle a yard or garden. The perimeter (circumference) of a wheel/circle describes how far it will roll in one revolution. Similarly, the amount of string wrapped around a spool is proportional to the spool's perimeter; if the string length were correct, it would equal the perimeter.

Given :

The rectangular garden has a perimeter of 280 feet

breadth = 90 feet

Let the length be x.

Therefore according to the question,

2( 90 + x ) = 280

=> 90+ x = 140

=> x = 50

To learn more about perimeter click on the link below:

brainly.com/question/397857

#SPJ10

6 0
2 years ago
15
Butoxors [25]

Step-by-step explanation:

1/2 represents every fraction, where the denominator (bottom part) is twice the numerator (top part).

like 4/8 or 6/12 or 128/256 or ...

what do we need in the denominator to calculate with 15/16 ?

the same : 16.

and what is half of 16 ? 8.

so, we need the 1/2 based on 16th = 8/16.

so, the dog ate 8/16 (1/2) of the original 15/16.

what was left was

15/16 - 8/16 = 7/16 pound

7 0
2 years ago
The length of a rectangle is the square root of 100 times an unknown number, x. The width is one-half an unknown number, y, less
ELEN [110]
For this problem,all we have to do is translate the word problem into algebraic equations. The equations are as follows:

L = √100 * x = 10x
W = 1/2*y - 3/2*x

Since A is equal to length times width
A = LW
If L is given, we can find the x. Therefore, we must set the equation where the dependent variable is y and the independent variable is x.

125 = LW
W = 125/L
1/2*y - 3/2*x = 125/10x
10x(1/2*y - 3/2*x) = 125
5xy - 15x² = 125
xy - 3x² = 25
y = (25+3x²)/x
<em>y = 25/x + 3x</em>
8 0
4 years ago
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