The function b(x) = 2x − 5 determines how many bags of dog food need to be purchased for an animal shelter, where x is the number of dogs at the shelter. The shelter manager uses m(b(x)) to find the amount of money to bring for the dog food purchase. The function m(x) = 3x + 1. Solve for how much money to bring when there are 10 dogs in the shelter.

Answers

Answer 1

Answer: b (x) 10×-b because b times equals two times minus five equals to b times two times minus five

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Solve 4x = 16 for x.
x =

Answers

Well what ever you do to one side, you do to the other.
Your goal is to get the x alone
in order to do that we divide both sides by 4
4x = 16
÷4 = ÷4 The left side cancels out and the right side gets solved
********* because 16 ÷ 4 = 4 :)
x = 4

And there's your answer
x = 4

When in doubt, eat a pineapple :)

Just divide both sides by 4.

4x / 4 = 16 / 4

x = 4

Given f(x)=x^2+3 and g(x)=x+5/x. Find (g o f)(4)

Answers

To find g(f(4)), work from the inside out.

f(4) is 4^2+3, or 16+3, or 19. Now, we must find g(19).

This is 19+5/19. This is already a mixed number, though if you want an improper fraction solution, we have:

361/19+5/19

Which simplifies to:

366/19

Therefore, 366/19 is the answer.

A time/motion word problem"A plane leaves Denver heading due north at 500 mph. Simultaneously, another plane leaves Denver traveling due east at 1200 mph. After how many minutes will the planes be 650 miles apart?"

I know the answer is 30, but I have no clue how to solve the problem itself

Answers

The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.

Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.

After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.

Do you remember this for a right triangle ? ==> A² + B² = C²

(500H)² + (1200H)² = (650)²

250,000H² + 1,440,000H² = 422,500

1,690,000 H² = 422,500

H² = (422,500) / (1,690,000) = 0.25

H = √0.25 = 1/2 hour = 30 minutes

$x^2=500^2+1200^2\n\nx^2=250000+1440000\ \ \ \Rightarrow\ \ \ \ x^2=1690000\ \ \ \Rightarrow\ \ \ \ x=1300\ [mph]\n\nthe\ distance=650\ miles\n\nthe\ speed= (the\ distance)/(the\ time) \ \ \ \Rightarrow\ \ \ 1300\ [mph]= (650\ [miles])/(the\ time)\n\nthe\ time= (650)/(1300) \ [hr]=0.5\ [hr]=30\ [min]\n\nAns.\ after\ 30\ minutes.$

Show that the system of rational expressions is closed under addition, or give an example showing the contrary.

Answers

Let p/q, r/s be elements of Q , the set of rational numbers, where q and s are non zero.We need to show that the sum is also a rational number.p/q + r/s = (p*s + q*r ) /(q*s)
Since q and s are non zero, the sum is a rational number.

4 divided 5 2/3 please and thank you

Answers

Answer:

1.41

Step-by-step explanation:

you divide them in a calculator or Google and get the answer. :)

Answer:

Step-by-step explanation:

For example, the reciprocal of ¾ is 4/3.

Division of Fractions

Find the reciprocal of 3 ¾

The reciprocal of 3 ¾ is 4/15.

Division of Fractions Reciprocal

I. Division of a fraction by a whole number:

For example:

(i) Divide 3/5 by 12

Solution:

3/5 ÷ 12

= 3/5 ÷ 12/1

= 3/5 × 1/12

= (3 × 1)/(5 × 12)

= 3/60

= 1/20

Step I: Find the reciprocal of the whole number and multiply with the fractional number as usual.

Step II: Express the product in its lowest terms.

(ii) Solve: 5/7 ÷ 10

= 5/7 ÷ 10/1

= 5/7 × 1/10

= (5 × 1)/(7 × 10)

= 5/70

Step I: Find the reciprocal of the whole number and multiply with the fractional number as usual.

Step II: Express the product in its lowest terms.

II. Division of a fractional number by a fractional number:

For example:

(i) Divide 7/8 by 1/5

Solution:

7/8 ÷ 1/5

= 7/8 × 5/1

= (7 × 5)/(8 × 1)

= 35/8

= 4 3/8

Step I: Find reciprocal of 1/5.

Step II: Multiply 7/8 by it.

Step III: Express the product in its simplest form.

(ii) Divide: 5/9 ÷ 10/18

Solution:

5/9 ÷ 10/18

= 5/9 × 18/10

= (5 × 18)/(9 × 10)

= 90/90

= 1

Step I: Find reciprocal of 1/5.

Step II: Multiply 7/8 by it.

Step III: Express the product in its simplest form.

The amount $180.00 is what percent greater than $135.00? A. 33.33% B. 25% C. 133.33% D. 35%

Answers

the answer is A. 33.33%

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