Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone
Answers
Answer:
Colleen alone to clear the yard of leaves in 40 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone
To find - When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?
Proof -
Given that the equation is -
[tex]\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40[/tex]
As time can not be negative
So,
we get
c = 40 minutes
∴ we get
Colleen alone to clear the yard of leaves in 40 minutes
Related Questions
What is the vertex of the graph of
y = 2(x + 6)^2 – 2?
O A. (2.6)
O B. (-6,2)
O C. (-6, -2)
O D. (6,-2)
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Consider the first six terms of this sequence:
3, 6, 12, 24, 48,96...
If the sequence defines a function, what is the range?
A. {All Integers}
B. {All Real Numbers)
C {1, 2, 3, 4, 5, 6, ...}
D. {3, 6, 12, 24, 48, 96, ...}
Answers
Answer:
A. {All Integers}, because it will go on forever
What is the value of x in the equation -5/8x=-160
Answers
Answer: x=256
Step-by-step explanation: Hope this help :D
Let's solve your equation step-by-step.
−5/8x
=−160
Step 1: Multiply both sides by 8/(-5).
(8/-5)*(−5/8x)=(8/−5)*(−160)
X=256
The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?
Answers
Answer:
5 sides
Step-by-step explanation:
A polygon includes the shape pentagon which has 5 sides.
If n are number of sides of a convex polygon, sum of its interior angles is 540 degrees.
As in given case sum of interior angles is 540°, we have
( n − 2 ) × 180 ° = 540°
When we solve this equation, we get 5 sides.
We can check this by plugging 5 into n, so the equation is
(5 - 2) x 180° = 540, this becomes...
3 x 180 = 540; this is correct so you answer is 5 sides.
What is the shape of the cross-section formed when a cone intersects a
plane as shown in the drawing?
A. square
B. oval
c. triangl
d.circle
Answers
A circle is formed when a cone intersects a plane as shown in the drawing.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
A cross section is defined as the process where a surface is shown when a straight cut is made by something. We are given when a cone is intersected by a plane horizontally the shape of the cross - section is a circle .
When the cone is intersected vertically by a plane the shape of the cross- section will be a triangle. Hence the shape of the cross section depends according to the cut.
Cross section is usually used to find what is there inside the object.
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Suppose 0 is an angle in the standard position whose terminal side is in
Quadrant IV and cos=12/37Find the exact values of the five remaining
37
trigonometric functions of 0
Answers
Answer:
Answers Below.
Step-by-step explanation:
Hello!
Let's first identifiy where the tereminals side actually is - Quadrant II. The original angle and the reference angle together form a straight line along the x-axis, so their sum is 180°. The second quadrant is in the upper left-hand corner of the plane. X has negative values in this quadrant and y has positive values. Quadrant III: The third quadrant is in the bottom left corner. Both x and y have negative values in this quadrant. The fourth quadrant (Q IV) is in the bottom right corner. X has positive values in this quadrant and y has negative values. Quadrant I of course has all positive values.
The five tig functions are:
Sine (sin)
Cosine (cos)
Tangent (tan)
Secant (sec)
Cosecant (csc)
Cotangent (cot)
The question asks for us to use the value of theta to find the rest of the trig values.
costheta=12/37 = 0.9999
Now, plug this number into the rest of them!
sin(0.9999)=0.01745
tan(0.9999)=0.01745
The last three are just reciporcals of the previous functions:
sec(x) = 1/ cosx = 1/cos(0.9999) = 1.0002
csc(x) = 1/ sinx = 1/sin(0.9999)= 57.304
cot(x) = 1/tanx = 1/tan(0.9999)= 57,296
The point of the unit circle is that it makes other parts of mathematics easier and neater. For instance, in the unit circle, for any angle θ, the trig values for sine and cosine are clearly nothing more than sin(θ) = y and cos(θ) = x.
Because the answers are in Quadrant IV, all the x values will be positive.
Hope this helps!
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Answers
Answer:
x = 14Step-by-step explanation:
7x + 9 = 9x - 19. [Corresponding Angles]
=> 9x - 19 = 7x + 9
=> 9x - 7x = 19 + 9
=> 2x = 28
[tex] = > x = \frac{28}{2} [/tex]
=> x = 14 (Ans)
Find the siope of the line passing through the points (-2, 2) and (-6,5).
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Step-by-step explanation:
i hope this helps :)
I need a little bit of help on this question.
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your answer will be 64 inch on your mathematics problem
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Answer:
34
Step-by-step explanation:
Hope helps :)
Answer:
Hi! Your answer is 34! :D
Step-by-step explanation:
The lovely human who answered above me is indeed correct.
I hope you have an amazing day! Please give brainliest!
The vertices of ABC are A(-2,4), B (-2,2), and C (-5,2). If ABC is reflected across the line y=1 to produce the image A”B”C find the coordinates of the vertex B’
Answers
The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= -2.
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Answers
Answer:
x=5
Step-by-step explanation:
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Answer:
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Math..
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Answer:
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Answers
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Step-by-step explanation:
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Answers
Answer:
if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond
is -4
Answer:
if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond
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Answers
Answer:
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Step-by-step explanation:
To find the area of a trapezoid, the formula is: A= a+b/2 h
I just took a screenshot of the work to make it easier
Hope it helps
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Answers
Answer:
28/45????????????????
Step-by-step explanation:
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D, see attachment
Step-by-step explanation:
An equation with a squared symbol (²) will never be linear. You can also graph these lines to be sure.
The attachment shows each of these graphed.
Red line- A
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Green line- C
Purple line- D
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
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Answers
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We can also see that the distribution is skewed to the right, meaning that the most likely outcome is X = 3, which occurs with a probability of 0.48.
This makes sense, since the chimpanzee is more likely to have 2 babies in one pregnancy and 1 baby in the other, which would result in a total of 3 babies.
Thus, the graph provides a visual representation of the probability distribution for X and helps us to understand the relative likelihood of each possible outcome.
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4.
A machine makes a staple from 20mm of wire. How many
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Answers
Answer:
25
Step-by-step explanation:
(50 cm (centimeters))/(20 mm (millimeters))
Result:
25 m/m (meters per meter)
25
2500%
Unit conversions:
15.53 mi/km (miles per kilometer)
25 mi/mi (miles per mile)
25 squares
Interpretation:
length ratio
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books will fit in 10 boxes?
Answers
If one box contains 20 books, then 10 boxes should fit 10 • 20 = 200 books.
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Joint production costs that produced 5,000 units of X, 5,500 units of Y and 3,500 units of Z 150,000
Further processing costs for 5,000 units of X 30,000
Further processing costs for 5,500 units of Y 40,000
Required:
Calculate the total costs and profit for the production of X and Y. (14 marks)
(c) Discuss THREE (3) arguments in support of variable costing and absorption costing. (12 marks)
(d) Zency Sdn Bhd produces pens. Data concerning the company’s operations last year appear as follows:
Units in beginning inventory 5,000
Units produced 50,000
Units sold 46,000
Selling price per unit RM2.50
Variable costs per unit:
Direct materials RM0.80
Direct labor RM0.50
Variable manufacturing overhead RM0.10
Variable selling and administrative overhead RM0.05
Fixed costs in total:
Fixed manufacturing overhead RM20,000
Fixed selling and administrative overhead RM10,000
Required:
Prepare an income statement for the year using absorption costing. (12 marks)
Answers
Answer:
Step-by-step explanation:
C