15 less than A number G is equal to 45

Answers

Answer 1
Answer: G=60. Its just 45+15. (:

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The rate traveled from Amarillo to Austin by a bus averages 65 miles per hour. The bus arrived in Austin after eight hours of travel. An automobile averages 80 miles per hour. Using the inverse variation relationship, show what the time would be for the automobile to complete the trip.

Answers

If it takes 8 hours for a bus with an average velocity of 65mph to travel from Amarillo to Austin then,
d = 65 (8) = 520 miles

The distance from Amarillo to Austin (or vice versa) is 520 miles.

If the function to get the distance traveled by the automobile is given by:
d(x) = 80 t
Then, the inverse variation relationship would be
d-1(x) = t = d / 80
Since d = 520
t = 520 / 80
t = 6.5 hours

It takes 6.5 hours for the automobile to complete the trip

A study is done on the population of a certain fish species in a lake. Suppose that the population size P(t) after t years is given by the following exponential function. P(t)=280(1.29)^t Find the initial population size?
does the function represent growth or decay?
By what percentage does the population change each year?

Answers

Answer:

  1. 280
  2. function represent growth.
  3. 29 %

Step-by-step explanation:

Equation to calculate population size after time, t

P(t) = 280(1.29)^t

To find initial population size we will take t = 0

P(0) = 280(1.29)^0

       = 280(1)

       = 280

To find that function represent growth or decay

P(1) = 280(1.29)^1

      = 280(1.29)

      = 361.2

Its means that after a year population increases. Hence, function represent growth.

By what percentage does the population change each year?

(361.2 - 280 / 280) * 100%

 = 29 %

Answer:

280

function represent growth.

29 %

Evaluate the numerical expression 2+(65+7) multiply 3=what

Answers

218 is the right answer
Your answer should be 218 because 65+7=72 then 72*3=216 then 216+2= 218
Hope i could help (:

Need help solving problem number 41

Answers

ok rmemeber
√(a/b)=(√a)/(√b)
and
√ab=(√a)(√b)
and
(a^m)/(a^n)=a^(m-n)
so

ignore 11 for now, we will get to that at end

\sqrt{ (49a^(5))/(4a^(3))}=
\frac{\sqrt{49a^(5))}{\sqrt{4a^(3)}}=
\frac{(√(49))(\sqrt{a^(5)})}{(\sqrt{4)(\sqrt{a^(3)}}=
((7)(a^(2) √(a)) )/((2)(a √(a)) )=
(7a^(2) √(a) )/(2a √(a) )=
(7a)/(2)

In tan A = 7/9 the measure of

Answers

If the tangent of angle 'A' is 7/9 , then
angle 'A' is either 37.87° or 217.87°.

The product of 8 and the sum of 4 and a number is 112. What is the number?Which equation could be used to solve for the number?
8 + 4n = 112
8 x 4 + n = 112
8(4 + n) = 112

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The equation that is used to solve the number for the statement "the product of 8 and the sum of 4 and a number is 112" is

8(4 + n) = 112.

The number n is 10.

Option C is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3x + 4 = 5 is an equation

3x + 9 is an equation.

We have,

The product of 8 and the sum of 4 and a number is 112.

Let the number be n.

We can write as:

8 x (4 + n) = 112 _____(1)

8 x 4 + 8 x n = 112

32 + 8n = 112

Subtract 32 on both sides.

8n = 112 - 32

8n = 80

Divide both sides by 8.

n = 10

The number is 10.

We can cross-check

8 x (4 + 10 ) = 112

8 x 14 = 112

112 = 112

Proved.

Thus,

The equation that is used to solve the number for the statement "the product of 8 and the sum of 4 and a number is 112" is

8(4 + n) = 112.

The number n is 10.

Learn more about equations here:

brainly.com/question/17194269

#SPJ5

    8(n + 4) = 112
8(n) + 8(4) = 112
     8n + 32 = 112
           - 32    - 32
              8n = 80
               8      8
               n = 10

The answer is C.