Answer:
Yes
Step-by-step explanation:
4.05 can be written as 4.050 in 3-place decimal or 3 digits.
Compare:
4.05 = 4.050
4.050 < 4.055
Since 5 > 0 for last digit, the Inequality is true.
31-7 because all you have to do is add the question
Answer: 1/2
Step-by-step explanation:
Number of red balloons = 17
Number of purple balloons = 11
Number of orange balloons = 3
Number of green balloons = 1
Number of yellow balloons = 2
Total number of balloons = 34
The probability that a randomly selected balloon will be red will be:
= Number of red balloons/Total number of balloons
= 17/34
= 1/2
Answer:
Step-by-step explanation:
you
60 +14*number of weeks
sister
120+10*number of weeks
let x be the number of weeks until they have the same amount of money
60+14x = 120+10x ; isolate like terms
14x -10x = 120-60
4x = 60; divide both sides by 4
x= 15 weeks
120+10*15 = 120+ 150 = $270 will be the amount they will have the same
Answer:
Numbers are 5 , 7
Step-by-step explanation:
<h2>
Forming quadratic equation and solving:</h2>
Let the two consecutive odd numbers be (2x + 1) and (2x + 3)
Their product = 35
(2x + 1)(2x + 3) = 35
Use FOIL method.
2x*2x + 2x*3 + 1*2x + 1*3 = 35
4x² + 6x + 2x + 3 = 35
Combine like terms
4x² + 8x + 3 = 35
4x² + 8x + 3 - 35 = 0
4x² + 8x - 32 = 0
<h3>Quadratic equation: 4x² + 8x - 32 = 0</h3>
<u>Solving:</u>
4x² + 8x - 32 = 0
Divide the entire equation by 2
2x² + 4x - 16 = 0
Sum = 4
Product = -32
Factors = 8 , (-4)
When we multiply 8*(-4) = -32 and when we add 8 + (-4) = 4.
Rewrite the middle term
2x² + 8x - 4x - 16 = 0
2x(x + 4) - 4(x + 4) = 0
(x + 4) (2x - 4) = 0
2x - 4 = 0 {Ignore x +4 = 0 as it gives negative number}
2x = 4
x = 4/2
x= 2
2x + 1 = 2*2 + 1 = 5
2x + 3 = 2*2 +3 = 7
The numbers are 5 , 7