a local business was looking to hire a landscaper to work on their property. they narrowed their choices to two companies. flourish landscaping company charges a flat rate of $120 per hour. green thumb landscapers charge $70 per hour plus a $1600 equipment fee. write a system of equations representing how much each company chargers. determine and state the number of hours that must be worked for the cost of each company to be the same. if it is estimated to take at least 35 hours to complete the job, which company will be less expensive? justify your answer
Answers
Green Thumb- (70x)=1600
Flourish- 120*35= $4200
Green Thumb- (70*35)+1600= $4050
It would be less expensive to hire Green Thumb Landscapers. There is a $150 difference between the two
It would take 32 hours of work for the cost to be the same for both companies
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How do you solve 4 x - 11 = 21
Write an equation to represent the sentence.Nine times a number y subtracted from 85 is seven times the sum of four and y.
Bryan's net pay for the week, rounded to the nearest dollar, will be $ __________.
Answers
multiply the number of hours worked by the hourly wage. Once you have that number multiply that by the percent deducted. Subtract the percent deducted number from the gross pay and you have your answer.
Note: each deduction is taken out of the total gross pay.
B. m∠y
A. m∠x = 50°
m∠y = 135°
B. m∠x = 125°
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C. m∠x = 50°
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Answers
m∠y=180-55=125°
The number of beakers in the school’s lab is , and the number of test tubes in the school’s lab is .
Answers
Answer:
The number of beakers in the school’s lab is 30, and the number of test tubes in the school’s lab is 150.
Answers
Answer:
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Hope this helps! I got it right on the Plato/Edmentum mastery test ♡
−2t^2+t+28=0
Answers
-2t²+t+28=0
==>2t²-t-28)=0
==>2t²-8t+7t-28=0
==>2t(t-4)+7(t-4)=0
==>(t-4)(2t+7)=0
==>t=4 or t=-7/2
Final answer:
The solution to the equation -2t^2 + t + 28 = 0 is found by applying the quadratic formula. Upon simplification, the possible values for 't' are 4 and -3.5.
Explanation:
The subject of the question is Mathematics and it is related to the concept of Quadratic Equations. Then, we are given the quadratic equation -2t^2 + t + 28 = 0 and asked to solve for 't'. We can solve quadratic equations using quadratic formula which is given by -b ± √(b^2 - 4ac) / 2a.
- First, identify the coefficients. In this equation the coefficients are: a=-2, b=1, and c=28
- Then Substitute these coefficients into the quadratic formula: t = [ -b ± sqrt (b^2 - 4ac) ] / 2a
- This gives: t = [ -1 ± sqrt ((1)^2 - 4*(-2)*28) ] / 2*(-2)
- Simplifying further gives: t = [ -1 ± sqrt (1 + 224)] / -4
- So, the possible values of t are: t = [ -1 ± sqrt ( 225 ) ] / -4
- Finally, we get the solutions: t = [ -1 ± 15 ] / -4
- This simplifies to t = 4 or t = -3.5
Learn more about Quadratic Equations here:
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Answers
8x+2=2*21
8x=40
x=5