MATHEMATICS MIDDLE SCHOOL

A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s position?

Answers

Answer 1

Answer:

The change in the turtle's position is $11 (5)/(12)$ inches

From the question,

We are to determine the change in the turtle's position

From the given information

A turtle is 20 5/6 ( $20(5)/(6)$ ) inches below the surface of a pond

and

The turtle dives to a depth of 32 1/4 ( $32(1)/(4)$ ) inches

To determine the change in the turtle's position, we calculate the difference between the initial position of the turtle and its final position.

∴ The change in the turtle's position = $32(1)/(4) -20(5)/(6)$

= $(129)/(4) -(125)/(6)$

= $(387-250)/(12)$

= $(137)/(12)$

= $11 (5)/(12)$ inches

Hence, the change in the turtle's position is $11 (5)/(12)$ inches

Learn more here: brainly.com/question/18591446

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Solve using the substitution method 3x+2y=11
X-2=4y

A(12,-5/2)
b (0,-1/2)
C (0,-2)
D (4,-1/2)

Answers

$\left \{ {{3x+2y=11\ \ \ \ \ \ \ } \atop {x-2y=4y\ \ | add\ 2y}} \right.\n\n \left \{ {{3x+2y=11} \atop {x=4y+2y}} \right.\n\nsubstitution\ method\n\n3(4y+2y)+2y=11\n\n3*6y+2y=11\n\n18y+2y=11\n\n20y=11\ \ \ | divide\ by\ 20\n\ny=(11)/(20)\n\nx=6y=6* (11)/(20)=(66)/(20)=(33)/(10)\n\n$

I know this is already answered but this is the answer simplified

(4, -1/2)

This is to help those that didn't understand the first guys explanation.

A drop set of 20 gtt/mL is used to run a liter of fluid at 50 gtt/min. How long will it take for the liter to run out?

Answers

Answer: 400 Minutes

Step-by-step explanation: 20 gtt/mL ÷ 50 gtt/min

⇒ 20/50 (gtt/gtt)(min/mL)

= 2/5 min/mL.

For a liter to run out it will take

⇒ 2/5 × 1000 = 400 minutes

Find the value of X or Y so that the line through the points has the given slope. (X, 0) and (4,1); slope: 1/5

Answers

Point slope formula:
(y₂ -y₁) = m(x₂ - x₁)
(1 - 0) = $(1)/(5)$ (4 - X)
1 = $(4)/(5) - (1)/(5) X$
$(1)/(5) = -(1)/(5) X$

-1 = X

Two numbers have their own reciprocals. What are they?

Answers

The two numbers that are the same as their reciprocal are 1 and -1.

The reciprocal of a/b is b/a.

The reciprocal of 1 is 1.

1 is nothing but 1/1. And if you flip the numerator and denominator, you get 1/1 which is 1.

The reciprocal of -1 is -1.

-1 is nothing but -1/1. And if you flip the numerator and denominator, you get 1/-1 which is -1.

The only two numbers that have their own reciprocals are 1 and -1.

The two numbers that have their own reciprocals is 1 and -1

A. What is the domain?B. What does the domain mean in terms of the problem?

A. What is the range?
B. What does the range mean in terms of the problem?

A. When is the function decreasing?
B. What does this decreasing interval mean in terms of the problem?