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notsponge [240]
2 years ago
11

A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in th

e shape of a rectangle with vertices at (3, 9) (5, 9) (3, 3) (5, 3). One bag of mulch covers 5ft2 and costs $5.00. How much will it cost her to cover her garden?
Mathematics
1 answer:
tester [92]2 years ago
8 0
First we need to know the total area. Since this is a rectangle we need two adjacent sides and we can find these from vertex pairing: 

Matching y: (3,9) --> (5,9) = 2 ft
Matching x: (3,9) --> (3,3) = 6 ft

Area = l*w = 2*6 = 12 square ft

# of bags = 12sqft/(5sqft/bag) = 2.4 bags. 

Cost = $5.00 * 2.4 = $12   (notice that it cost $1 to cover 1sqft so we could have skipped a step here.)

NOTE: In the real world she probably can't buy just 0.4 of a bag and would actually have to buy three full bags for $15. 
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The yard behind the Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet
QveST [7]
Let the width of the yard  be w.
Since the length is 18feet longer, l = w + 18

Perimeter for rectangle =  2(l + w)

        2(l + w) = 72
      
        2(w+18 + w) = 72      Divide 2 on both sides

           (w + 18 + w) = 36

               2w + 18 =   36

                       2w = 36 - 18

                            2w = 18       Divide 2 on both sides

                                w = 18/2

                                   w = 9

Recall, length l = w + 18, l = 9 + 18 = 27

Hence width, w = 9, length,l = 27

Area of rectangle = l × w = 27 × 9 =   243

Area of rectangular yard =  243 square feet.           
8 0
2 years ago
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x
spin [16.1K]

we have

y-6x-9=0

Step 1

<u>Clear the variable y</u>

y-6x-9=0

Adds (6x+9) both sides

y-6x-9+(6x+9)=0+(6x+9)

y=(6x+9)

Step 2

<u>Convert in function notation</u>

Let

f(x)=y

f(x)=(6x+9)

therefore

<u>the answer is</u>

f(x)=(6x+9)


6 0
2 years ago
Read 2 more answers
Bob withdrew money from an ATM, put the receipt in an envelope, and filled in the information in his check register.
lora16 [44]

Answer:It is important to record each transaction so Bob knows how much money is in his account. That prevents being overdrawn. Recording debits and deposits helps with budgeting. It is good to keep receipts in case of any bank errors.

Step-by-step explanation:

5 0
1 year ago
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On a vacation in Puerto Rico, Rose jumped off a cliff into a river in EL Yunque Forest Reserve. Her height as a function of time
balandron [24]
H (t) = - 16t ^ 2 + 16t + 480
 For this case, the first thing to do is to match the polynomial to zero to find the roots.
 We have then:
 0 = -16t ^ 2 + 16t + 480
 From here, we obtain the following roots of the polynomial:
 t1 = -5
 t2 = 6
 We ignore the negative root because the time is always greater than zero.
 Answer: 
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4 0
2 years ago
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Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There are 3 inches of sand in the bottom of t
VMariaS [17]
The correct question is
<span>Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 8 x 20. There are three inches of sand in the bottom of the terrarium. Zach gets a new terrarium that is larger. The base of the new terrarium is 10 x 24 inches. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?
</span>

Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³

Volume of sand in the new terrarium=10*24*h
where h------------> is the deep in the new terrarium
remember that the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in

the answer is 2 in
6 0
2 years ago
Read 2 more answers
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