The rabbit population in a certain area is 500​% of last​ year's population. There are 300 rabbits this year. How many were there last​ year?There were
____ rabbits last year.

Answers

Answer 1
Answer:

Answer:

300 divided by 500 is 0.6

S is step-by-step explanation:


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A movie theater has 24 screens. The ratio of action films tp other films currently showing on all screens 1:2. How many action films are currently showing?

Answers

Answer: Currently 8 action films are being shown

Step-by-step explanation:

Step 1

Ratio of action film to other films = 1:2

which means 1 action movie would be shown for every 2 other films

Total  ratio =  1+2 = 3

Step 2

Number of action films shown = ratio of action film/ total ratio  x 24 screens

= 1/3 x 24 = 8

Number of other films shown = ratio of other films/ total ratio  x 24 screens

= 2/3 x 24 = 16

Currently 8 action films and 16 other films are being shown

If f(x)=3x+7 and g(x)=2x-5 find g(f(-3))

A. -26 B.-9 C. -1 D. 10

Answers

The value of g(f(-3)) would be -9 which is the correct answer would be an option (B).

What exactly is a function?

A function is defined as a mathematical phrase that specifies a connection between two variables in algebra.

We have been given the functions below as

f(x) = 3x + 7 and g(x) = 2x - 5

We have to determine the value of g(f(-3))

Substitute the value of f(x) = 3x + 7 in the g(x) = 2x - 5 to get g(f(x))

⇒ g(f(x)) = 2(3x + 7) - 5

Apply the distributive property of multiplication,

⇒ g(f(x)) = 6x + 14 - 5

⇒ g(f(x)) = 6x + 9

Substitute the value of x = -3 in the g(x) = 2x - 5 to get g(f(-3))

⇒  g(f(-3)) = 6(-3) + 9

⇒  g(f(-3)) = -18 + 9

⇒  g(f(-3)) = -9

Therefore, the value of g(f(-3)) would be -9.

Learn more about the functions here:

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f(x)=3x+7 \n g(x)=2x-5 \n \n g(f(-3)) = ? \n \nf(-3)=3x+7 =3 \cdot (-3)+7=-9+7=-2 \n \n g(-2)=2x-5 =2*(-2)-5=-4-5 = -9\n \n g(f(-3)) = -9 \n \n Answer: \ B.) \ \ -9

Which property is illustrated by the following statement 3z+4=4+3z

Answers

The expression 3z+4 = 4+3z represents the commutative property of addition.

What is cumulative property?

The cumulative property states that if the position of the numbers when they are in addition is changed then it will not affect the final result of the addition. If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics.

The commutative property basically states that x+y can be flipped yet have the same meaning so x+y = y+x ~

The given expression 3z+4=4+3z is showing the cumulative property of addition. By changing the position of the additional terms the final result will not change.

Therefore, the expression 3z+4 = 4+3z represents the commutative property of addition.

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3z+4 = 4+3z represents the commutative property , the commutative property basically states that x+y can be flipped yet have the same meaning so x+y = y+x ~

Please help me this is due tonight

Answers

Answer:

  B = (2, -5)

Step-by-step explanation:

The problem requirements mean ...

  B - A = (2/3)(C - A)

  B = A + (2/3)C - A

  B = (1/3)A + (2/3)C = (A +2C)/3

  B = ((-6, 1) +2(6, -8))/3 = (-6+12, 1-16)/3 = (6, -15)/3

  B = (2, -5)

Select all the irrational numbers.-0.237
/12
2
-0.1/144
√43
57
10

Answers

Answer:

the answer is 01

Step-by-step explanation:

Answer:

01

Step-by-step explanation:

How many real number solutions does the equation have?-8x^2-8x-2=01
2
no solutions
or
infinitely many solutions

solve the equation by completing the square. round to the nearest hundredth. x^2+6x=-7
4.41,1.59
-4.41,1.59
-4.41,-1.59
4.41,-1.59

and the last one is
solve the systems of equations algebraically. show all of your steps.
y=x^2+2x
y=3x+20

Answers

Hello,

I)
1 solution with multiplicity 2
(2x+1)²=0

II) ANSWER C (-4.41, -1.59)
-3-√2 and -3+√2

III)
y=x²+2x
y=3x+20
==>x²+2x=3x+20
==>x²-x-20=

Δ=1+4*20=81=9²

(x=(1-9)/2=-4 and y= 3*(-4)+20=8 ) or (x=(1+9)/2=5 and y=3*5+20=35)