Wilma can mow a lawn in 40 minutes. Rocky can mow the same lawn in 120 minutes. Construct an equation that would allow you to determine how long it would take them to mow 2 lawns if they worked together. Use t to represent the number of minutes they work.
Answers
Answer:
Step-by-step explanation:
Given are the time it takes for each worker (Wilma and Rocky) to mow one lawn.
To derive a formula to be able to find the time it takes if they work together we first need to find the rate of work of each worker
The basic formula for rate of working is as follow
Lets calculate the rate of work for Wilma and Rocky
Wilma
Rocky
Notice the 1 at the numerator, this is because the times are given for one job.
To complete two jobs together we derive the following formula based on adding their rates together
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Given the function f(x) = x2 and k = –3, which of the following represents a vertical shift? A. f(x) + kB. kf(x) C. f(x + k) D. f(kx)
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The area of circle Q's sector = 4π
the area of circle R's sector = 9π
The radius of circle Q = 7 cm
We need to find the radius of circle R that is x
Given : Both circle Q and circle R have a central angle measuring 110°
So the radius of circle R to the radius of circle Q is equal to the square root (area of circle R to the radius of circle Q)
Plug in all the values
Therefore , the radius of circle R = 10.5 cm
Answers
Answer:
Two color drawings and seven black and white drawings.
Step-by-step explanation:
If it takes 25 minutes for a color drawing it would take him 50 minuies to do two, leaving him with a remainder of 70 minutes. In that time he can create 7 black and white drawings. 7+2=9, giving you your answer.
To determine the number of black and white and color drawings, set up a system of equations based on the given information. Solve the system of equations by adding them together. The solution is 3 black and white drawings and 6 color drawings.
To solve this problem, we can set up a system of equations. Let the number of black and white drawings be represented by x and the number of color drawings be represented by y.
The first equation is based on the fact that it takes Akira 10 minutes to make a black and white drawing and 25 minutes for a color drawing. So, the total time spent on black and white drawings is 10x minutes and the total time spent on color drawings is 25y minutes.
The second equation states that on Saturday Akira made a total of 9 drawings in 2 hours, which is equivalent to 120 minutes. So, we have x + y = 9.
Adding the equations 10x + 25y = 120 and x + y = 9, we can solve for x and y. Solving this system of equations gives us x = 3 and y = 6.
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The answers are 1/5 and 1/3 but I don't know how to get there
Answers
First Factor
(5x-1)(3x-1)
set each factor equal to zero
5x-1=0 3x-1=0
solve for x
5x=1 3x=1
x=1/5 x=1/3
12√3 in.²
24 in.²
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A = (1/2)(4 in)(6 in)
A = 12 in^2
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Final answer:
The missile's change in altitude from the starting point 290 feet below sea level to the final position of height 17800 feet is calculated by subtracting the initial position from the final position, resulting in a change of 18090 feet.
Explanation:
The subject of this question falls under the domain of Mathematics, specifically involving numerical operations. It pertains to the calculation of change in altitude. Here's your step-by-step explanation:
1. The missile's starting point is 290 feet below sea level. We represent below sea level as a negative number, so the starting altitude of the missile is -290 feet.
2. The missile then ascended to a height of 17800 feet, which is above sea level and hence positive.
3. To find the change, we subtract the initial position from the final position: 17800 - (-290) = 17800 + 290 = 18090 feet.
So, the change in altitude of the missile is 18090 feet.
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Answers
m = 10/100 = 0.1
tan α = 0.1
α = tan^(-1) 0.1
α = 5.71 °
2. 2 km = 2,000 m
x² + ( 0.1 x )² = 2,000²
x² + 0.01 x² = 4,000,000
1.01 x² = 4,000,000
x = 1,990 m
h = 1,990 m * 0.1
h = 199 m
The road rises 199 m.