Answer:
<h3>Hence required integers are 11 and 13</h3>
Let x an odd positive integer
Then, according to question
x^2 +(x+2)^2=290
2x^2 +4x−286=0
x^2 +2x−143=0
x ^2+13x−11x−143=0
(x+13)(x−11)=0
x=11 as x is positive
Hence required integers are 11 and 13
Step-by-step explanation:
Hope it is helpful....
Answer:
y=(-4/5)x+4
Step-by-step explanation:
4x+5y=20
5y=-4x+20
y=(-4/5)x+4
<u>Given </u><u>:</u><u>-</u><u> </u>
- Mrs. Smith left a 15% tip for a dinner that cost $62.40.
<u>To </u><u>find</u><u> </u><u>:</u><u>-</u><u> </u>
- About how much tip did Mrs. Smith leave?
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
The tip is 15% of $62.40 .
<u>•</u><u> </u><u>Calculating</u><u> </u><u>1</u><u>5</u><u>%</u><u> </u><u>of </u><u>$</u><u>6</u><u>2</u><u>.</u><u>4</u><u>0</u><u> </u>
- $ 62.40 * 15%
- $ 62.40 * 15/100
- $ 9.36
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The number of green marbles is 
The number of red marbles is 
The number of red marbles is 
Generally the total number of marbles is mathematically represented as



Generally total number of marbles that are not red is

=> 
=> 
The probability of the first ball not being red is mathematically represented as

=> 
The probability of the second ball not being red is mathematically represented as

=>
(the subtraction is because the marbles where selected without replacement )
=> 
The probability that the first two balls is not red is mathematically represented as

=>
=>
The probability of the third ball being red is mathematically represented as
(the subtraction is because the marbles where selected without replacement )

=> 
Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as


=> 
Answer:
If you are solving the equation for x :
3x + 3y = 180
3x = -3y + 180
x = -y + 60 or x = 60 - y
If you are solving the equation for y:
3x + 3y = 180
3y = -3x + 180
y = -x + 60 or y = 60 - x