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baherus [9]
2 years ago
7

Students are planting a flower bed for science class. The flower bed can be 4.5 ft wide and will be divided into 2 sections for

roses and irises. The iris section will be 3 ft long and it has not yet been determined how long the rose section will be. a) A student in the class claims that the area of the flower bed could be written as 4.5( + 3). Write an equivalent form of this expression. b) How do you know the two expressions are equivalent?
Mathematics
1 answer:
aksik [14]2 years ago
7 0

Answer:

3(4.5)  Because they equal the same thing

Step-by-step explanation:

4.5(+3)=13.5

3(4.5)=13.5

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They each get 1/4.

Because since they have 1/2 they will further divide that piece in 2 so each of them will get 1/4 of the whole.

Hope this helps :)
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2. A 2-pint bottle of olive oil costs $2.68. If
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Tina practiced piano for 15 hours last month and 45 hours this month. Use multiplication to write a statement comparing the hour
Pani-rosa [81]

Answer: Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3 =45 hours.


Step-by-step explanation:

Given : Duration of Tina practiced piano last month=  15 hours

Duration of Tina practiced piano this month=  45 hours

We can see 45 is a multiple of 15 such that 45=15\times3

Therefore, Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3= 45 hours.

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3 years ago
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A home gardener estimates that 18 apple trees will produce an average yield of 80 apples per tree. But because of the size of th
aliina [53]

19 trees should be planted to maximize the total

<h3>How many trees should be planted to maximize the total</h3>

From the question, we have the following parameters:

Number of apples, x = 18

Yield, f(x) = 80 per tree

When the number of apple trees is increased (say by x).

We have:

Trees = 18 + x

The yield decreases by four apples per tree.

So, we have

Yield = 80 - 4x

So, the profit function is

P(x) = Apples * Yield

This gives

P(x) = (18 + x) *(80 - 4x)

Expand the bracket

P(x) = 1440 - 72x + 80x - 4x^2

Differentiate the function

P'(x) = 0 - 72 + 80 - 8x

Evaluate the like terms

P'(x) = 8 - 8x

Set P'(x) to 0

8 - 8x = 0

Divide through by 8

1 - x = 0

Solve for x

x = 1

Recall that:

Trees = 18 + x

So, we have

Trees = 18 + 1

Evaluate

Trees = 19

Hence, 19 trees should be planted to maximize the total

Read more about quadratic functions at:

brainly.com/question/12120831

#SPJ1

4 0
1 year ago
Ronnie wants to buya computer table that measures 10 feet by 17 feet.The cost of the table is $16 per square foot.How much will
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It will cost her 1,710 dollars because 10 times 17 is 170 and 170 times 16 is $1,710
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