this cant be all the question
City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 11.6 meters but that the length would increase by 3.7 meters. So, the pool would now cover an area of 205.85 square meters.
Which equation can be used to determine the original length of the pool, l?
205.85=2(l+15.3)
205.85=11.6(l+3.7)
205.85=3.7(l+11.6)
The equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)
Let l be the original length of the pool.
Since the length of the pool is increased by 3.7 m, the new length L = l + 3.7.
Also, the area of the pool A = 205.85 square meter and it is a rectangle with width, W = 11.6 meters,
So, A = LW
Substituting the values of the variables into the equation, we have
A = LW
205.85 = (l + 3.7)11.6
So, the equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)
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Answer:
Step-by-step explanation
205.85=11.6(l+3.7)
Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0
Answer:
In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.
From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.
The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.
Number crunching done, the maximum is at (4,2)
Henry can run 2.5 miles in 1/4 of an hour if he maintains the same pace how many miles can Henry run in 1 1/2 hours
Answer:
Since Henry runs 2.5 miles every 15 minutes, he runs 5 miles in 30 minutes, 7.5 miles in 45 minutes, and 10 miles every 60 minutes.
explanation: just trust me
Answer:
60 minutes
Step-by-step explanation:
I hope this would help
Which situation can be represented by this inequality 135 ≤ 10r + 15
[tex]135\leq 10r +15\\\\\implies 120 \leq 10r\\\\\implies 12 \leq r \\\\\implies r \geq 12 \\\\\text{Interval,}~~ [12,\infty)[/tex]
There are 10 circles and 2 triangles. What is the
simplest ratio of triangle to circle
Answer:
1:5
Step-by-step explanation:
put no. of triangles over no. circles because it asks triangles to circles
2/10
1/5........simplify
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 1 hour?
Answer: $8.25
Step-by-step explanation: 33 divided by 4 (find unit rate)
Answer: $8.25
Step-by-step explanation:
Simply divide $33.00 by 4. 33/4 = 8.25
how do you solve 15 divided by 2/9
Answer:
67.5 or 67 1/2
Step-by-step explanation:
15 ÷ 2
___________
9
The numbers in 15 divided by 2/9 are labeled below:
15 = whole number
2 = numerator
9 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
15 x 9 2 = 135
____
2
Thus, the answer to 15 divided by 2/9 in fraction form is:
135
_____
2
To make the answer to 15 divided by 2/9 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
135 / 2 = 67.5
The answer is rounded to the nearest two decimal points if necessary.
135/2 is an improper fraction and should be written as 67.5 or 67 1/2.
Hope this helps, have a nice day/night! :D
Answer:
67.5
Step-by-step explanation:
15 = 135/9
135/9 x 9/2 = 15 x 4.5 = 67.5
9/2 = 4.5
Brainliest?
Mr. Williams bought a plot of land for $ 40 000. The value of the land appreciated by 7% each year.
Answer:
no
Step-by-step explanation:
Please take a look at the picture.
Answer:
A and B
Step-by-step explanation:
a) -x+0+(-x)=0
Combine like terms.
-2x+0=0
Subtract 0 from both sides.
-2x=0
Divide both sides by -2.
x=0
b) -x-(-x)=0
Remove parentheses.
-x+x=0
Combine like terms.
0=0
Hope this helps :)
if line 1 has a slope of -4 and line 2 has a slope of 1/4, they are parallel
True
O False
1.02 = _____ hundredths
102 hundredths
102/100
Find the area of grass
Answer:
125m²Step-by-step explanation:
find the area of the green rectangle and remove the area of the yellow rectangle
(12 - 2) * (16 - 2) - (6 * 2.5) =
10 * 14 - 15 =
140 - 15 = 125m²
A bag of sugar weighs 6²/⁵. What is the weight of 6¹/⁴ of such bag?
How many two thirds are there in 4¹/³?
Answer:
6 and a half 2 thirds are in 4 1/3
Step-by-step explanation:
2/3x=13/3
2x=13
x=6.5
Please solve these algebraic questions? THANKS
Step-by-step explanation:
Note: I'm only providing solutions for Problem 9.
9. Simplify the following by collecting like terms:
Combining like terms involve performing the required mathematical operations (using the PEMDAS rule). The terms must have the same degree (or exponents).
a) 3a + 7a
Add the coefficients of both terms.
3a + 7a = 10a
b) 4n + 3nAdd the coefficients of both terms.
4n + 3n = 7n
c) 12y - 4ySubtract the coefficient of both terms.
12y - 4y = 8y
d) 5x + 2x + 4xAdd the coefficients of all terms.
5x + 2x + 4x = 11x
e) 6ab - 2ab - baThe last term, "ba," can be rewritten as, "ab." Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1: 1a × 1b.
Now, we can perform the subtraction on all terms:
6ab - 2ab - ab = 3ab.
f) 7mn + 2mn - 2mnSubtract 2mn from 2mn, which leaves you with 7mn:
7mn + 2mn - 2mn = 7mn
g) 4y - 3y + 8For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.
4y - 3y + 8 = y + 8
h) 7x + 5 - 4x
Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.
7x + 5 - 4x = 3x + 5
i) 6xy + xy + 4y
You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.
6xy + xy + 4y = 7xy + 4y
j) 5ab + 3 + 7ba
Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.
5ab + 3 + 7ba = 12ab + 3
k) 2 - 5m - mCombine the like terms, which are the second and the last term.
2 - 5m - m = 2 - 6m
l) 4 - 2x + x
Combine the like terms, which are the second and the last term.
4 - 2x + x = 4 - x
0.7619047619 as a fraction?
which one
1. 1/16
2. 16/21
3. 2
4. 4
Answer:
16/21
Step-by-step explanation:
A certain star has a luminosity that is 5.9 times greater than that of our sun and a radius that is 2.8 times greater than the sun. What is the temperature of this star relative to the sun?
Answer:
16.5
Step-by-step explanation:
times the numberthen u will get your answer
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
The x-intercept is a point on the x-axis where the line crosses the x-axis and you can easily find it at point (-7, 0) because the line crosses the x-axis there.
Similarly, the y-intercept is a point on the y-axis where the line crosses the y-axis and you can easily find it at point (0, 2) because the line crosses the y-axis there.
PLEASE HELP WITH THIS ONE QUESTION
Answer:
D. -3
Step-by-step explanation:
g(x) moved 3 units to the right
Jaya wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a square. The area of the vegetable garden is 91.26 square feet. What is the length of the vegetable garden?
The length of the vegetable garden is 11.7 ft.
The dimension of the garden are 3 section long and 2 section wide.
let
each section length = x
Therefore,
length of garden = 3x
width of garden = 2x
Area of the vegetable garden = 91.26 ft²
3x(2x) = 91.26 ft²
6x² = 91.26
x² = 91.26 / 6
x² = 15.21
x = √15.21
x = 3.9
length of the vegetable garden = 3(3.9) = 11.7 ft
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Which one is the correct answer ? Find the amplitude , period. Phase shift asymptotes domain range Use the fact that cos(x)=0 will be an asymptote
Answer:
3. is your correct answer ok
Alguém me ajuda pfv rápido
Answer:
9.72
Step-by-step explanation:
1.8 x 1.8 x 3 = 9.72
Item 4 Evaluate. [(1 1/4−3/4)⋅(−2/3)3]÷(−4) What is the value of the expression? Enter your answer as a simplified fraction in the box.
Answer:
1/27
Step-by-step explanation: I took the quiz and the right answer is 1/27
The value of the given expression would be 0.25 which is simplified by using the PEMDAS rule in the expression.
What is PEMDAS rule?The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.
The given expression would be below as:
⇒ [(1 1/4−3/4)⋅(−2/3)3]÷(−4)
Using the PEMDAS rule in the above expression,
⇒ [(5/4−3/4)⋅(−2/3)3]÷(−4)
Apply the subtraction operation,
⇒ [(2/4)⋅(−6/3)]÷(−4)
Reduce the fractions, and we get
⇒ [(1/2)⋅(−2)]÷(−4)
Cancel out the terms of 2 to each other
⇒ (−1)÷(−4)
Cancel out the negative sign to each other
⇒ 1 / 4
Apply the division operation to get
⇒ 0.25
Therefore, the value of the given expression would be 0.25 which is evaluated.
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Help help help help help help
Answer:
b
gnzjfzjgzjxjgzfjsngdjgsjfzgjskzjtztjsgjd5uduajai
An elliptically shaped garden is surrounded by a wood walkway. The garden is 15 meters long and 8 meters wide. The walkway is 2.5 meters wide. Find the standard equation describing the ellipse formed by the walkway.
Answer:
x^2/b^2 + y^2/a^a = 1
Step-by-step explanation:
I believe that is the answer, also theanswerme answered this question. :)
3^12*(2^x)^2 = 6^12 then x equals to..?
Answer:
x=6
Step-by-step explanation:
it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?
Interesting question. Does that mean near the end of humanity?
Solution 1:
10^10 = 1,000,000,000
10^12 = 100,000,000,000
100,000,000,000/1,000,000,000 = 100 trees per person
Solution 2:
10^12 / 10^10 --- 10^10 / 10^10
10^2/1 = 10^2 = 100 trees per person
Determine if the given set of equations has 1 solution, no solution or infinitely many solutions. Include your reasoning for your answer.
y−2x=2
4y−8x=8
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
y - 2x = 24y - 8x = 8Divide both sides of the second equation:
4y/4 - 8x/4 = 8/4y - 2x = 2We got both equations same.
It means the lines representing the equations overlap, the system has infinitely many solutions.
Can you help me with this ?:)
With explanation step-step Thanks
Part A
The given angle is 4pi/3. Multiply it by the factor 180/pi to convert from radians to degree mode.
Note how the given angle has pi in the numerator, while the conversion factor has pi in the denominator. The two pi terms will cancel.
(4pi/3)*(180/pi)
(4/3)*(180/1)
(4*180)/(3*1)
720/3
240
The angle 4pi/3 radians is equivalent to 240 degrees. This 240 degree angle is in quadrant 3. Any angle in this quadrant is between 180 degrees and 270 degrees, excluding both endpoints. This is the bottom left quadrant, aka the southwest quadrant.
Answer: Quadrant 3===========================================================
Part B
To find the reference angle, we'll subtract off pi. This only works for angles in quadrant 3. This is because the first pi radians, aka 180 degrees, is taken up by the first two upper quadrants. The remaining bit in the third quadrant is all we care about to find the reference angle.
reference angle = (given angle in quadrant 3) - pi
reference angle = (4pi/3) - pi
reference angle = (4pi/3) - (3pi/3)
reference angle = (4pi - 3pi)/3
reference angle = pi/3
Answer: pi/3 radians===========================================================
Part C
Use a calculator or a reference table to find that
tan(4pi/3) = tan(pi/3) = sqrt(3)
Alternatively, you can compute the sine and cosine values first
sin(pi/3) = sqrt(3)/2cos(pi/3) = 1/2Dividing the two items in the order mentioned will get us the tangent value
tan = sin/cos
tan(pi/3) = sin(pi/3) divide cos(pi/3)
tan(pi/3) = sqrt(3)/2 divide 1/2
tan(pi/3) = sqrt(3)
In the jump from the second to last step, to the last step, the denominators '2' cancel out when dividing.
Answer: sqrt(3)Complete the table for the value of each digit in 123.
Answer:
1,2,3,4,5,6,7,8,9,10
2,4,6,8,10,12,14,16,18,20
3,6,9,12,15,18,21,24,27,30
Step-by-step explanation:
Andre ran a 100 meter race in 12 seconds. What was his average speed as he ran?
his average speed as he ran: V = S/t = 100/12 = 25/3 (m/s)
ok done. Thank to me :>
Speed is the time rate at which an object is moving along a path. 25/3 is the average speed as he ran
What is Speed?Speed is the time rate at which an object is moving along a path.
Speed =Distance/Time
His average speed as he ran:
V = S/t
Hundred by twelve.
= 100/12
Divide numerator and denominator by four.
Twenty five by three.
Average speed= 25/3 (m/s)
Hence if Andre ran a 100 meter race in 12 seconds. 25/3 is the average speed as he ran
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