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Furkat [3]
3 years ago
10

Robert is replacing sod in two square-shaped areas of his backyard. One side of the first area is 7.5 feet. One side of the othe

r area is 5.7 feet. The sod costs y dollars per square foot. (Hint: Area of a square is l x w) Write an expression to show how much Robert will spend on sod.
Mathematics
2 answers:
Svetach [21]3 years ago
6 0
32.49y+56.25y

Take 5.7*5.7=32.49
Take 7.5*7.5=56.25
Those are the areas of each square shaped areas in Roberts backyard. Multiply each by then cost of y and then add both together...
iris [78.8K]3 years ago
3 0

Answer:

The expression becomes for the Robert will spend on sod.

x = 56.25 y + 32.49 y

Step-by-step explanation:

Let us assume that the  Robert will spend on sod = x

As given

Robert is replacing sod in two square-shaped areas of his backyard.

As given Formula in the question

Area of a square = L × B

Where l is the length and B is breadth .

(As in the case of the square all sides are equal.)

Thus

Area of a square = L × L

                            = L²

One side of the first area is 7.5 feet.

Area of square for first  = 7.5 × 7.5

                                       = 56.25 feet²

One side of the other area is 5.7 feet.

Area of square for other  = 5.7 × 5.7

                                          = 32.49 feet²

As given

The sod costs y dollars per square foot.

Thus the expression becomes

x = 56.25 y + 32.49 y


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Answer: 64

Step-by-step explanation:

the Kids that answered correct in any of questions 1 and 2 got at least one right so subtract the highest number which is 81 students by all the general amount of them, 145 that’s 64.

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3 years ago
Car Wash A theater group is having a carwash fundraiser. The liquid soap costs $31 and is enough to wash 40 cars. Each car is ch
zheka24 [161]

Answer:

A) Independent variable is "c"

Dependent variable is "p"

B) Yes, it's a function

C) p = 7c - 31

D)domain of the function: 0 ≤ c ≤ 40

Range of the function: 0 ≤ p ≤ 249

Step-by-step explanation:

A) c is the total number of cars washed and p is the profit. The profit depends on the total number of cars washed. Hence, profit(p) is the dependent variable while "c" is independent variable

B) Yes it's a function because for each number of cars washed, there is a distinct value of profit made.

C) We are told that the liquid soap costs $31 and is enough to wash 40 cars. Each car is charged 7$.

$31 is cost to wash one car. Thus profit made per car is;

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D) The cost of $31 liquid soap is enough to only wash a maximum of 40 cars. This means the domain for the cars is from 0 cars to 40 cars

Thus;

domain of the function is 0 ≤ c ≤ 40

The profit function is given in answer C above as p = 7c - 31.

Now, if 0 cars are washed they will make zero profit but if 40 cars are washed then;

p = 7(40) - 31

p = 280 - 31

p = 249

Range of the function: 0 ≤ p ≤ 249

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