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MrRissso [65]
3 years ago
10

Sakeem is a landscape architect. When he creates a lawn, his supplier charges $.43 per square foot for sod. Sakeem charges his c

ustomers $2.00 per square foot to lay the sod. The profit Sakeem makes when creating a lawn varies directly as the number of square feet of sod. Recall that profit is the difference of the amount earned and the amount spent.
Mathematics
2 answers:
Alina [70]3 years ago
7 0

Answer:

y/x = 1.57

Step-by-step explanation

Y=kx

k=$1.57

y=1.57x

divid by x

y/x=1.57

IRISSAK [1]3 years ago
4 0

Answer:

profit = $1.57

Step-by-step explanation:

2.00-0.43=1.57

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In a free-fall experiment, an object is dropped from a height of h = 400 feet. A camera on the ground 500 ft from the point of i
PilotLPTM [1.2K]
Hmmm the object, is at rest, when dropped, so it has a velocity of 0 ft/s

the only force acting on the object, is gravity, using feet will then be -32ft/s²,


was wondering myself on -32 or 32.. but anyhow... we'll settle for the negative value, since it seems to be just a bit of convention issues

so, we'll do the integral to get v(t) then

\bf \displaystyle \int -32\cdot dt\implies -32t+C
\\\\\\
\textit{object moves from \underline{rest}, so velocity is 0 at 0secs}
\\\\\\
-32(0)+C=0\implies C=0\implies \boxed{v(t)=-32t}
\\\\\\
\textit{now to get the positional s(t)}
\\\\\\
\displaystyle \int -32t\cdot dt\implies -16t^2+C
\\\\\\
\textit{the initial \underline{position} was 400ft away at 0secs}
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-16(0)^2+C=400\implies C=400\implies \boxed{s(t)=-16t^2+400}

when will it reach the ground level? let's set s(t) = 0

\bf s(t)=-16t^2+400\implies 0=-16t^2+400\implies \cfrac{-400}{-16}=t^2
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25=t^2\implies \boxed{5=t}


part B)  check the picture below

5 0
3 years ago
A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes f
viva [34]

Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = \frac{1}{4} hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       \frac{x}{6} =  Time taken while going

\frac{x}{4} = Time taken while coming back

    Substituting in (1) we get

      \frac{1}{4} =  \frac{x}{6} + \frac{x}{4}

      \frac{1}{4} =  \frac{2x + 3x}{12}

       \frac{1}{4} =  \frac{5x}{12}

      x= \frac{12}{20}

    x = 0.6 miles

Thus home is 0.6 miles away from the store

Learn more about time related  here :

brainly.com/question/12759408

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6 0
2 years ago
55x ÷ 11x=?<br><br>solve for x​
Liula [17]

Answer:

you cant solve for x but

55x/11x=5x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Drag and drop each verbal phrase next to the algebraic expression that models it.
Aleksandr-060686 [28]

Answer: first one is : the base salary of an employee and a 9% salary increase; second one is : the price of a winter coat and a 90% discount ; third one is : the number of students attending school last year and a 90% increase from last year ; fourth one is : the cost of groceries and a 9% discount with coupons

Step-by-step explanation:

6 0
3 years ago
Please help with the precalc question above...
Sonja [21]

Answer:

the last choice

Step-by-step explanation:

two functions are said to be inverse when they are symmetric about the line y=x

4 0
3 years ago
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