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asambeis [7]
4 years ago
10

Lake Alice is full of alligators and turtles the number of turtles is 16 less than 3 times the number of alligators in the lake

there are 200 reptiles total
Mathematics
2 answers:
yulyashka [42]4 years ago
5 0

Answer:

The number of alligators and number of turtles are 54 and 146 respectively.

Step-by-step explanation:

Given :

The number of turtles is 16 less than 3 times the number of alligators in the lake

There are 200 reptiles total.

To Find :  Find the numbers of alligators and turtles .

Solution:

Let the number of alligators be x

So, The number of turtles is 16 less than 3 times the number of alligators

Number of turtles = 3x-16

Now we are given that there are 200 reptiles in total .

x+3x-16=200

4x-16=200

4x=216

x=54

Number of alligators = 54

Number of turtles = 3(54)-16 = 146

Hence the number of alligators and number of turtles are 54 and 146 respectively .

zysi [14]4 years ago
3 0

Answer:

72 alligators, 128 turtles

Step-by-step explanation:

When you put the words into the form of an equation, with a being alligators, you get

3a-16=200

So you have to do 'letters left numbers right'. This gives you

3a=216

Now you have to divide. 216 divided by 3 equals 72. So there are 72 alligators. 200 minus 72 equals 128, so there are 128 turtles

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A rectangle has an area of 24 sq. inches and a perimeter of 50 in. what are the dimensions of the rectangle​
gulaghasi [49]

Answer:

Length of rectangle = 24 inches

Width of rectangle = 1 inches

Step-by-step explanation:

Area of rectangle = 24 square inches

Perimeter of rectangle = 50 inches

Formulas:

Area of rectangle = l\times w

Perimeter of rectangle = 2(l+w)

where l represents length of rectangle and w represents width of rectangle.

So, we can get two equations for l and w

A) l\times w=24    [Area]

B) 2(l+w)=50     [ Perimeter ]

Simplifying equation B.

Dividing both sides by 2.

\frac{2(l+w)}{2}=\frac{50}{2}  

l+w=25  

Solving for l in terms of width.

Subtracting w both sides.

l+w-w=25-w  

∴ l=25-w

Substituting value of l in terms of w in equation A.

(25-w)w=24

Using distribution.

25w-w^2=24

Adding w^2 both sides.

25w-w^2+w^2=24+w^2

25w=24+w^2

subtracting 25 w both sides

25w-25w=24+w^2-25w

0=w^2-25w+24

We have a quadratic equation. w^2-25w+24=0

We solve for w by factor method.

Splitting middle term into two terms such that the sum of the two =-25w and product of two = 24w^2

w^2-24w-w+24=0

Factoring in pairs.

w(w-24)-1(w-24)=0

Factoring as a whole

(w-24)(w-1)=0

So, we have

w-24=0 and w-1=0

By adding 24 to one equation and adding 1 to other we get

w-24+24=0+24 and w-1+1=0+1

w=24 and w=1

So length can be found out by plugging value of w in the length equation.

l=25-24=1 and l=25-1=24

Since length is always the longer side of rectangle so,  the dimensions of rectangle can be given by.

length = 24 inches  (answer)

width = 1 inches (answer)

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Lostsunrise [7]

Answer:

We can see that point (2, 20) represent the amount of calories she/he has had in the last 2 minutes. Therefore, to find how many she has had per minute follow like so:

2:20

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Step-by-step explanation:

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