Your brother is 1313 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age aa.
Answers
There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.
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B = your brother's age
S = your sister's age
Y = your age
All of these ages are current present day ages.
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"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.
"Your sister is 6 years older than your brother" so S = B+6
"Your sister is 10 years old" so S = 10.
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S = B+6
B+6 = S
B+6 = 10 ... plug in S = 10
B+6-6 = 10-6 ... subtract 6 from both sides
B = 4
Your brother is 4 years old.
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B = Y/3
Y/3 = B
Y/3 = 4 .... plug in B = 4
3(Y/3) = 3*4 ... multiply both sides by 3
Y = 12
Answer: Your age is 12 years old.
note: This answer hinges on assumption that the "1313" should be "1/3".
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The squeegee passes by the other window washer in ____ seconds to the nearest tenth.
seconds. If necessary, round your answer
Answers
Answer:
The squeegee passes by the other window washer in 3.9 seconds to the nearest tenth
Step-by-step explanation:
From the question,
The first person drops a squeegee from a height of 95 feet, to determine how long it takes the squeegee to pass by another person at a height of 20 feet, that is, we are to determine how long it will take the squeegee to travel a height distance of 95 feet - 20 feet
95 feet - 20 feet = 75 feet.
Hence, we are to determine how long it will take the squeegee to travel a height distance of 75 feet.
From one of the equations of motion due to free fall
h = ut + 1/2gt²
Where h is the height
u is the initial velocity
g is the acceleration due to gravity (Take g = 9.8 m/s²)
and t is the time
For the question,
h = 75 feet
u = 0 m/s ( Since the squeegee is dropped from rest)
Therefore
75 = 0(t) + 1/2(9.8)(t²)
75 = 4.9t²
∴ t² = 75/4.9
t² = 15.306
t =√15.306
t = 3.9 secs
Hence,
The squeegee passes by the other window washer in 3.9 seconds to the nearest tenth.
Final answer:
Using the kinematic equations for free fall, we find that it takes approximately 2.2 seconds for the squeegee to pass by the other window washer working at a height of 20 feet.
Explanation:
The question is related to the subject of physics and involves the free fall motion of an object under the influence of gravity. We can use the kinematic equations to solve for the time it takes for the squeegee to pass the window washer working at 20 feet.
The initial height h0 from which the squeegee was dropped is 95 feet, and the height h where the other window washer is located is 20 feet. Therefore, we are interested in the time it will take the squeegee to cover the distance d = h0 - h, which equals 75 feet.
Assuming acceleration due to gravity g is approximately 32.2 feet per second squared (in the downward direction), and initial velocity u is 0 since the squeegee is dropped, we can use the formula to find the time t.
Plugging in the values, we get:
- t = sqrt(4.6584)
- t ≈ 2.16 seconds
To the nearest tenth, it takes the squeegee approximately 2.2 seconds to pass by the other window washer.
Learn more about Free Fall Physics here:
#SPJ3
Answers
then Use the method of undetermined coefficients
Then you need to find x′p and x′′p and sub them into equation, that will help you to solve A and B.
And finally you will have this :
3x′′+3x′+7x=9sin(3t)[−27Asin(3t)−27Bcos(3t)]+[9Acos(3t)−9Bsin(3t)]+[7Asin(3t)+7Bcos(3t)]=9sin(3t)(−20A+9B)sin(3t)+(−20B+9A)cos(3t)=9sin(3t)
Answers
Put the like terms together;
3x-6x-5x=-1-7
-8x=-8
x=1
one of its games. The company sets a goal of $75,000 profit on the game for the first
month of its roll out. How many games does the company need to sell in order to reach its
profit goal?
explain your work
Answers
Answer:
Break-even point in units= 22,273
Step-by-step explanation:
Giving the following information:
Contribution margin per game= $3.59
Fixed cost= $4,960
Desired profit= $75,000
To calculate the number of games to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (4,960 + 75,000) / 3.59
Break-even point in units= 22,273
Answers
Hope I helped you!