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Sidana [21]
4 years ago
9

Can someone explain substitution more clearly?

Mathematics
1 answer:
arsen [322]4 years ago
5 0
U replace that is all
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Your parents decide they would like to install a rectangular swimming pool in the backyard. There is a 15-foot by 20-foot rectan
Lilit [14]

Answer:

  • perimeter: 46 ft
  • area: 126 ft²

Step-by-step explanation:

Since the 3 ft edge is on both sides of the pool, each dimension of the pool is 6 ft shorter than the corresponding dimension of the space. The pool will be 15 ft -6 ft = 9 ft in one direction and 20 ft -6 ft = 14 ft in the other direction.

The perimeter of the pool is the sum of its side lengths:

  P = 9 ft + 14 ft + 9 ft + 14 ft = 2(9 ft +14 ft) = 2(23 ft)

  P = 46 ft

__

The area of the pool is the product of its length and width:

  A = (14 ft)(9 ft) = 126 ft²

The perimeter and area are 46 ft and 126 ft², respectively.

5 0
3 years ago
The point U (-2,0) is translated 1 unit up. What are the coordinates of the resulting point, U’?
MrRissso [65]

Answer:

Point U' (-2, 1)

Step-by-step explanation:

When moving up and down on a graph, this affects the y coordinate only.

Since it is moving up 1 unit, we have to add 1 to the y coordinate. So U' will end up being (-2, 1).

4 0
3 years ago
Read 2 more answers
4.) Find the quotient<br><br> 20 ÷ 1/4<br><br><br> A.) 5<br> B.) 40<br> C.) 10<br> D.) 80
Mazyrski [523]

1/4 of 20 is 5

A is the answer

7 0
3 years ago
Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1
Blizzard [7]

Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

1000\times \frac{30}{100} =1000\times 0.3

Total population after h hours is,

1000(1+0.3)^h

It is in the form of,

P(t)=P_0(t)(1+r)^t

Where P_0(t) is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex]  is the growth factor after time t.

In the above equation 1000 is the initial population and (1+0.3)^h is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.

Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.

3 0
3 years ago
Read 2 more answers
How many toothpicks are needed to build the tree on day 100?​
Mariana [72]

Answer:

100 x 4 = 400 - 91 = 309

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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