The correct answer is:
3x + 1.5y ≤ 25
Explanation:
The variable x represents the number of board games. Each one weighs 3 pounds, which gives us the expression 3x.
The variable y represents the number of remote control cars. Each one weighs 1.5 pounds, which gives us the expression 1.5y.
The sum of their weights gives us the expression 3x+1.5y.
Since the box can hold no more than 25 pounds, the inequality must be less than or equal to:
3x+1.5y≤25
Answer:
THE ANSWER IS 3x+1.5y ≤ 25
Step-by-step explanation:
B. ZY
C. XZ
D. YX
YX is corresponding with ED
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Answer:
54 miles in one hour.
Step-by-step explanation:
A car travels in 3 hours = 162 miles
We have to calculate the speed of car in one hour.
Therefore, we use the formula of speed =
=
= 54 miles/hour
The car travels 54 miles in one hour.
Solve for p.
We can use formula for half life of radioactive substance to get the needed time interval's length.
Option: C: 30 years.
After 30 years, the activity level of this sample will be 0.25
Given that:
Let after y years, the activity level of this sample be 0.25.
,
where λ₁ = remainingamount of sample, λ = original amount of sample, a = total time length for disintegration, b = halflife.
Putting values
Thus, after 30 years, the activity level of this sample will be 0.25
Thus, option C : 30 years is correct.
Learn more about half life of radioactive substances here:
Answer:
c. 30 years
Step-by-step explanation:
The expression for half life of a radioactive substance is given as
λ/λ₁ = 2⁽ᵃ/ᵇ⁾.............. Equation 1
Where λ₁ = remaining sample, λ = original sample, a = Total disintegration time, b = half life.
Given: λ = 2 curies, λ₁ = 0.25 curies, b = 10 years.
Substituting these values into equation 1
2/0.25 = 2⁽ᵃ/¹⁰⁾
8 = 2⁽ᵃ/¹⁰⁾
2³ = 2⁽ᵃ/¹⁰⁾
Since the base in both side of the equation is the same, we can equate the base.
3 = a/10
a/10 = 3
a = 10×3
a = 30 years.
Thus it will take 30 years for the activity level of the sample to be 0.25 curie
The right option is c. 30 years
Eli signed up to take 6 lessons with a pro instructor, and each lesson cost $52.00 for a 1-hour session. Eli bought a bag of bulk practice balls to use during his lessons. After buying a bag of 40 golf balls, the total cost for his lessons and golf balls is $319.20.
Damien signed up to take 5 lessons with pro instructor, and each lesson cost $28.00 for a 30-minute session. Based on the instructor's advise, he bought a bag of 24 golf balls to use during his lessons. The total cost for his lessons and golf balls is $144.08.
Place the students in order from the least amount to the greatest amount that they paid per golf ball.
bryan: 32*4 = 128
132.48 - 128 = 4.48
4.48 /32 = 0.14 per golf ball
Eli: 52 *6 = 312
319.20 - 312 = 7.20
7.20 / 40 = 0.18 per golf ball
Damien: 28*5 = 140
144.08 - 140 = 4.08
4.08 / 24 = 0.17 per ball
least to greatest:
Bryan, Damien, Eli