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Serga [27]
3 years ago
6

A rectangle lot 30m by 20m is surronded on all four sides by a concrete walk 3m wide. If you need to concrete only the sidewalk,

how much concrete will you need? (surface area)
Mathematics
1 answer:
insens350 [35]3 years ago
8 0

The length of the rectangle is 30 m

The width of the rectangle is 20 m

The sidewalk is 3m wide on all sides, so

length of sidewalk = 30+6 =36 m

Width of sidewalk = 20+6 = 26 m

Area of rectangle = length*width

Area of rectangle = 30\times20=600

Area of rectangle including sidewalk = 36\times26=936

Hence, area of sidewalk alone = area of rectangle with sidewalk -  area of rectangle

Surface Area = 936-600=336 m²

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Step-by-step explanation:

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A. 45<br> B. 55<br> C. 126<br> D. 4
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which option shows 18÷15 as a fraction or a mixed number? A. 2315 B. 1518 C. 11815 D. 1315
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Answer:

It's B.) 1518

using fraction calculator**

As a positive improper fraction (numerator > denominator):

18/15 = 6/5

As a mixed number

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18/15 = 1 1/5

As a decimal number:

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As a percentage:

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Step-by-step explanation:

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3 years ago
The number of walls, w, that Joe can paint in t hours is given by the equation w=32t−1. Answer the questions below.
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We have been given an equation w=\frac{3}{2}t-1 that represents umber of walls, w, that Joe can paint in t hours. We are asked to find the number of hours it will take Joe yo paint 7 walls.

To solve our given problem, we will substitute w=7 in our given equation as:

7=\frac{3}{2}t-1

Let us solve for t.

7+1=\frac{3}{2}t-1+1

8=\frac{3}{2}t

8\cdot\frac{2}{3}=\frac{2}{3}\cdot\frac{3}{2}t

\frac{8\cdot2}{3}=t

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Answer:

Y(n) = 400(2.5)^n

Y = 3,814,697 rice weevils

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Step-by-step explanation:

To predict the population of rice weevil for any week after the start of the study ; wwe use an exponential function for this purpose :

y(n) = A(1 + r)^n

Where;

Y(n) = population at week n

r = growth rate ; n = number of weeks

A = initial population at the start of the study

r = 150% = 1.5

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Y = 400 * 9536.7431640625

Y = 3814697.265625

Y = 3,814,697 rice weevils

C)

When population will reach 1,000,000,000

We have :

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2500000 = 2.5^n

Take the log of both sides :

log(2500000) = nlog(2.5)

6.3979400 = n * 0.3979400

n = 6.3979400 / 0.3979400

n = 16.077649

n = 16.1 weeks approximately

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