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3 years ago

The length of a rectangle is 22 feet longer than the width. the perimeter is 1616 feet. find the dimensions of the rectangle.

1 answer:

7 0

So we can setup variable equations for this:
so we're given that the length is 22feet longer than the width!
so as an expression length is equal to 22+w
and width as an expression is just w
so the formula for the perimeter for a rectangle is 2l+2w=perimeter
so fill it in now!
1616=2(22+w)+2w
1616=44+2w+2w
1616=44+4w
1572=4w
divide by four..
w=393
and length is simply 22 more than that as stated in the question!
so length is 415
dimensions are: 415x393

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denpristay [2]

Answer:

-7 = m

Step-by-step explanation:

5m − 7 = 6m

Subtract 5m from each side

5m-5m − 7 = 6m-5m

-7 = m

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2 years ago

A certain city's population is 120,000 and decreases 1.4% per year for 15 years.

mart [117]

Answer:

Decay Problem.

Decay rate, r = 0.014
Initial Amount =120,000

$P(t)=120000(0.986)^t$
P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

$P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time$

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

Since the population decreases, it is a Decay Problem.

Decay rate, r=1.4% =0.014
Initial Amount =120,000

Therefore, the function is:

$P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t$

When t=10 years

$P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)$

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3 years ago

I need help for my daughters homework for write the sentence as an inequality

Taya2010 [7]

Answer:

15 < t ÷5

Step-by-step explanation:

all it wants is for you write the sentence as an equation.

I really hope this helps

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3 years ago

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Allisa [31]

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Now substitute

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Now do factorization by grouping.

$4x(2x + 1) + 3(2x + 1)$
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3 years ago

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Nikolay [14]

Answer:

$x=3-\sqrt{6},x=3+\sqrt{6}$