Worth 30 pointswhat is the answers to questions 34 and me i don't understand

The answer to question 34:

Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.

So the total gravel and much is equal to x + 27/16x = 172  

Solving for 'x'

43/16 x = 172    

x = 172 (16/43) = 64 pounds of gravel           Mulch = 27/16x = 64 (27/16)= 108 pounds

The answer to question 35:

A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.

B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.

Hi Nicole,

Question 34:

2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.

Gravel - 172 / 1 1/3 = 129

Mulch - 172 / 2 1/4 = 76.44444...

Question 35:

a. 18 beats in 15 seconds.

b. 25 beats in 10 seconds.

Part A:

Find beats per minute:

1 minute = 60 seconds

60 / 15 = 4

18 x 4 = 72

Answer - 72 beats per minute (Resting)

150 beats per minute (Running)

Part B:

72 times per minute resting

Find 25 times in 10 seconds in minutes,

1 minute = 60 seconds

60 / 10 = 6

25 x 6 = 150

So while running the friend has 150 beats per minute.

Find the number of beats in 3 minutes for both:

Resting:

72 x 3 = 216

216 beats in 3 minutes

Running:

150 x 3 = 450

450 beats in 3 minutes

Subtract:

450 - 216 = 234

Answer - Your friend's heart beat is 234 beats more in 3 minutes than at rest.

Hope This Helps!

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.