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guajiro [1.7K]
2 years ago
8

Franklin's office just started a new recycling program this year. They aim to recycle 7 kilograms of paper each week. Write an e

quation that shows the relationship between the number of weeks Franklin's office is on the recycling program, x, and the total number of kilograms of paper recycled, y
Mathematics
2 answers:
Akimi4 [234]2 years ago
5 0

Answer:

7x=y

Step-by-step explanation:

7x=y

7 times x(#of weeks)= y (paper recycled)

Sati [7]2 years ago
3 0

Answer:

7x=y

Step-by-step explanation:

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If a rat grows 1.5 inches a year, how many years will it take the rat to grow to 12.3 inches?
vladimir1956 [14]
You would do 12.3/1.5= 8.2 years
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2 years ago
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Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. Th
mote1985 [20]

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

  • L is the length of the rectangle
  • W is the width of the rectangle

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = \frac{1}{3} yard

∴ 1 foot² = (\frac{1}{3})^{2}=\frac{1}{9} yard²

∴ 15 feet² = 15 × (\frac{1}{9}) = \frac{5}{3} yards²

∴ The area of the blanket is  \frac{5}{3} yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost =  \frac{5}{3} × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

7 0
3 years ago
Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
lozanna [386]

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems

 

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Expand using the Binomial Theorem (3x+2)^4

(3x+2)4(3x+2)4

Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0n⁡nCk⋅(an-kbk).

4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=04⁡4!(4-k)!k!⋅(3x)4-k⋅(2)k

Expand the summation.

4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4

Simplify the exponents for each term of the expansion.

1⋅(3x)4⋅(2)0+4

Hope this helps!

8 0
2 years ago
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Samantha is studying the population growth of an endangered birth. The growth can be modeled by the equation B(t) 100 + 3/5t^5 ,
solong [7]

The value of the population of the growth of an endangered birth after 5 years is 1975

<h3>How to determine the population after 5 years?</h3>

The population function is given as:

B(t) = 100 + 3/5t^5

At 5 years, the value of t is 5

So, we have

t = 5

Next, we substitute 5 for t in the equation B(t) = 100 + 3/5t^5

This gives

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Hence, the value of the population of the growth of an endangered birth after 5 years is 1975

Read more about exponential functions at:

brainly.com/question/2456547

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4 0
1 year ago
“The sum of 6 consecutive integers is 519” what is the third number in this sequence?
Rashid [163]
Let x be the first integer, then
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x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
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6x + 15 = 519
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6x = 504
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x = 84
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*****************************
Our sequence is
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84, 85, 86, 87, 88, 89
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The third integer is 86
7 0
2 years ago
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