The length of a rectangle is 2x + 3. The width of the rectangle is x - 2. Which of the following represents the perimeter of the rectangle?
Answer:
6x+2
Step-by-step explanation:
The perimeter is the sum of all of the sides. A rectangle has four sides. You multiply each equation by two, and add the two equations together.
Find the general solution of
dy/dx + 2y =6
Answer:
ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C
Step-by-step explanation:
dy/dx + 2y = 6
This is a first order linear ODE.
p(x) = 2
Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)
e^(2x)(dy/dx + 2y) = 6e^(2x)
e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx
Integrate both sides of the equation.
ye^(2x) = 3e^(2x) + C
Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.
what is the denominator for 3/8 ?
Answer:
Here we will simplify 3/8 to its simplest form and convert it to a mixed number if necessary. In the fraction 3/8, 3 is the numerator and 8 is the denominator.
Step-by-step explanation:
Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Answer:
2 hours 15 minutes
Step-by-step explanation:
Given that :
Ben's speed = 3 mi/hr
One and half hours after Ben leaves = 1.5 hours
Ben's distance = 3 mi/hr * 1.5 = 4.5 miles
Amanda's speed = 5 mi/hr
Time taken before Amanda catches up:
Let time taken = x
Distance = speed * time
Ben's distance = Amanda's distance
4.5 mi + (3 * x) = 5 * x
4.5 + 3x = 5x
4.5 = 5x - 3x
4.5 = 2x
x = 4.5 / 2
x = 2.25 hours
Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes
It would take Amanda 2.25 hours to catch up with Ben
Speed is the ratio of distance to time. It is given by:
Speed = distance/time
Given that Ben covers a distance d at time t, hence:
3 = d/t
d = 3t
Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5
5 = d/(t - 1.5)
d = 5t - 7.5
Since they catch up, hence:
3t = 5t - 7.5
2t = 7.5
t = 3.75 hours
Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours
Hence it would take Amanda 2.25 hours to catch up with Ben.
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Which is smallest to largest 5.0, 5.008 or 5.15
that question makes no sense
Help me with number 7 (geometry) hint= x is 18 1/3 (show work)
Answer:
2x-15+10x-25=180
2x-10x=180+15+25
-5x=220
=44
ı hope its true
Step-by-step explanation:
A school is arranging a field trip to the zoo. The school spends 688.95 dollars on passes for 42 students and 3 teachers. The school also spends 391.02 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student? how many dollars was spent per students
Answer:
The total spent on each student was $24.62. That is the pass and lunch
Step-by-step explanation:
$688.95÷45= $15.31 each oass
$391.02÷42=$9.31
15.31+931=$24.62
An investor purchased 100 shares of stock in a company for $1,500. One year later, the investor sold all the shares for $1,750. What is the investor's rate of return?
Answer:
16 2/3%
Step-by-step explanation:
rate of return is the profit (1750 - 1500) over the original investment
250/1500 = .1666 or 16 2/3%
Answer: .1666
Step-by-step explanation:
It took sara mother 6 hours to drive to the university and bring Sarah back home for spring break
Answer:
6 hours
Step-by-step explanation:
If it took Sara's mother six hours to do that, it took six hours.
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card? need help now pls
Answer:a
Step-by-step explanation:all the other ones are not smart
if u think about it
U can’t dived t and I so just do the one that doesn’t do that
Which graph represents a function?
Answer:
Graph B represents a function.
Step-by-step explanation:
Graph B is a quadratic function. y = x^2
Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4 terms. :2(x+4) is a product.
Answer:
three factors
Step-by-step explanation:
A +40 =0. What is the value of A?
Answer:
-40
Step-by-step explanation:
Answer:
hope you for the answer
Step-by-step explanation:
A+40=0
A=0-40
A=-40#
Jonathan put ice cream in the freezer, and the ice cream remained frozen.
Which of the following best describes this situation?
Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.
Answer:
C- Based on the data, this is an example of causation
Step-by-step explanation:
This is because by him putting the ice cream into a freezing area, the ice cream remained frozen. Imagine if he put in in a warm area, it would melt. Hope this helps!
The option best describes this situation is C; Based on this data, this is an example of causation.
What is correlation?Correlation of two pairs of data values tells about the degree of movement that can occur in one of the data values when other data value is increased or decreased respectively.
Also, Causation refers to causing something. When one variable influences another variable.
The ice cream remained frozen caused by the fact that it was put in the freezer by Jonathan.
We can also say that, ice cream remained frozen is the result of the occurrence of the event that it was put in the freezer.
So, The option best describes this situation is C; Based on this data, this is an example of causation.
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Is the relationship between time and distance an arithmetic sequence?
Explain.
A cylinder is 12 feet high and has a diameter of 10 feet. in cubic feet, what is the approximate volume of the cylinder
Answer:
300π or 942.477796077 cubic feet
Step-by-step explanation:
25π*12=300π
The approximate volume of the given cylinder is 942.48 ft³.
What is the volume of the cylinder?The volume of the cylinder is the density which signifies the amount of substance it can hold.
Mathematically,
V = πr²h
where, r is the radius of the cylinder
and h is the height of the cylinder.
It is given that,
Height h of the cylinder = 12 ft
Diameter d of the cylinder = 10 ft
⇒ Radius r = d/2
⇒ r = 10/2
⇒ r = 5 ft
Now, Volume of the cylinder V = πr²h
Putting the values of r and h of given cylinder. We get,
⇒ V = 3.14 × (5 ft)² × 12ft
⇒ V = 3.14 × 25 ft² × 12 ft
⇒ V = 3.14 × 300 ft³
⇒ V ≈ 942.48 ft³
The approximate volume of the given cylinder is 942.48 ft³.
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What is cos(47)=x/3 solve for x
The equivalent value of {x} is equivalent to 2.046.
What is cosine function?The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.
Given is the expression as -
cos(47) = x/3
We have the expression as -
cos(47) = x/3
{x} = 3 cos(47)
{x} = 3 x 0.682
{x} = 2.046
Therefore, the equivalent value of {x} is equivalent to 2.046.
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What is 1/5 expressed as a percent?
246000 in scientific notation
Answer:
2.46 x 10⁵
Step-by-step explanation:
Answer:
i wouldn't know that
Step-by-step explanation:
Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?
$52.00
$14.50
$40.50
$48.50
Answer: The answer is $48.50
Answer: The answer is $52.00.
Step-by-step explanation:
Step 1: Find the Unit Rate
$32.50 divided by 5 = $6.50
Step 2: Find the Price for Babysitting for 8 Hours
$6.50 x 8 (hours) = $52.00
I hope this helps!
A school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping. How much did they make selling balloons?
Answer:
OMG, Nickkkkk. It's Nyla from your 3rd block math classs. Lol, I literally looked up this question with no luck of an answer.
Step-by-step explanation:
The school club made $298.08 by selling the balloons.
What is Profit?Profit is calculated as total revenue less total expenses.
Given that, a school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping.
Cost of balloons when they brought them = 1.29*150 = $193.5
Total cost = $193.5 + (shipping price) = $193.5 + $8.92
Total cost = $202.42
Cost at which they sold the balloons = 143*$3.50 = $500.5
Therefore, their total profit = $500.5 - $202.42 = $298.08
Hence, The school club made $298.08 by selling the balloons
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What is the average of all multiples of five from 5 to 50 inclusive
Answer:
add all the multiples together then divide by 10?
275/10 = 27.5