A stone fell from the top of a cliff into the ocean.
In the air, it had an average speed of 16 m/s. In the water, it had an average speed of 3 m/s before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.
How long did the stone fall in the air and how long did it fall in the water?

The stone fell in the air for ___seconds and fell in the water for ___ seconds.

Answer:

x = -198

Step-by-step explanation:

5/11 x + 2/3 x - 1/6 x = -189

66(5/11x + 2/3x - 1/6x) = 66(-189)

30x + 44x - 11x = -12474

63x = -12474

x = -198

Answer:

x = -210

Step-by-step explanation:

[tex]\frac{5}{11x} + \frac{2}{3x} - \frac{1}{6x} = -189[/tex]

[tex]\frac{37}{33x} - \frac{1}{6x} = -189[/tex]

[tex]\frac{21}{22x} = -189[/tex]

0.9x = -189

[tex]x = \frac{-189}{0.9}[/tex]

x = -210

Answer:

Here is the graphed visual of the equation.

Given:

Find markup:

Percent of markup:

The number of baskets is not given. If it is x, then total profit is:

Given:

Cost = $8.50,

The selling price = is $12.00.

Find markup:

$12.00 - $8.50 = $3.50

Percent of markup:

3.50/8.50 × 100% = 41.18% (rounded)

The number of baskets is not given. If it is x, then the total profit is:

3.5x dollars

Step-by-step explanation:

Answer: A. True

Step-by-step explanation:

so uh...which picture?

Answer:

y=-3/4x-3

Step-by-step explanation:

because you need to make it into graphing forms so you would transfer the 3 over and divide the 3 and the 12 to get y=-3/4x-3

Store A has $ 1.75 less discounted price than Store B.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

The original price of the watch was $35.00

Store A:

Discount = 20%

So, price after discount = 35 - 35 x 0.20

                                       = $28

and, Store B:

Discount = 15%

So, price after discount = 35 - 35 x 0.15

                                       = $29.75

Hence, Store A has $ 1.75 less discounted price than Store B.

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Answer:

Looks like the top left

Answer:

It's the 1st one from the left!

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{\boxed{\bf{y = -\frac{2}{5} }}}[/tex]

Step-by-step explanation:

To solve for [tex]\tt{y}[/tex] in the equation [tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex], we'll need to simplify and isolate the variable.

Let's start by distributing the 8 on the left side and the 9 on the right side of the equation:

Next, we'll combine like terms on both sides of the equation:

To isolate the variable, we'll move all the terms involving y to one side of the equation. Let's subtract 9y from both sides:

Simplifying further, we have:

To isolate "y," let's add 40 to both sides:

Simplifying, we get:

Finally, we can solve for "y" by dividing both sides of the equation by 15:

Simplifying the equation, we have:

So, the solution to the equation is y = -2/5.

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________________________________________________________

________________________________________________________

Answer:

C

Step-by-step explanation:

It is usually A= 1/2 B*H which 1/2*3*4 in parentheses would fit this, but im not 100% sure!

Answer:

A = ( -1 , 4 )

B = ( -4 , 3 )

C = ( -2 , 1 )

Explanation:

You basically just flip it along the line like a mirror would

A = ( -1 , 4 )

B = ( -4 , 3 )

C = ( -2, 1 )

Basically, you match the coordinates of the image to the other part and see the new coordinates. It's like seeing something in a mirror, but with a different view.

(Hope it helps!)

Answer:

14 hours

Step-by-step explanation:

Let x be the number of hours open on each of the four days (because it is six days per week) that are not Saturday or Sunday. Thus, the total number of hours on those days would be 4x. Then, we are told that Sam's Soups are open 2 hours longer on Saturdays and Sundays, so that would be x + 2. There are two of those days, so that would be 2(x + 2). Since all of these hours total 76, we have our equation:

4x + 2(x + 2) = 76

4x + 2x + 4 = 76

6x = 72

x = 12

Remember, 12 hours is the number of hours that Sam's Soups is open on days that are not Saturday and Sunday. Those days are x + 2. Thus, that is 12 + 2 = 14 hours.

Answer:

14 hours

Step-by-step explanation:

x = hours on day other than saturday and sunday

y = hours on Saturday and Sunday.

Sam's soups are only open 6 days a week, and 2 are weekends, so it is only open on 4 weekdays.

4x + 2y = 76

We know the hours on Saturday and Sunday are 2 hours more than the weekday hours.

So,

y = x + 2

Substituting that back into the original equation,

4x + 2(x+2) = 76

4x + 2x + 4 = 76

6x = 72

x = 12

y = 14

So Sam's Soups is open 14 hours on Sunday.

The number of hours that Sam’s Soups is open on Sunday will be 14 hours.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Sam's Soups is open 6 days per week, 76 hours altogether. Its hours are similar consistently, besides on Saturday and Sunday. On those days, it is open 2 hours longer.

Let 'x' be the number of hours spent on Saturday and Sunday. Then the equation is given as,

x + x + (x - 2) + (x - 2) + (x - 2) + (x - 2) = 76

Simplify the equation, then we have

6x - 8 = 76

6x = 84

x = 14 horus

The number of hours that Sam’s Soups is open on Sunday will be 14 hours.

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The net represents the three-dimensional figure is

2(1/2 x 3 x 4) + 4 x 2 + 3 x 2 + 5 x 2

The correct option is C.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We know that the formula for calculating the Area of prism is

= 2 ( base x height) + (s1 + s2 + s3) length

But according to the given figure we have to

= length x width + 3 x width x height

= ab + 3bh

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Answer:

y+9= -40/-8

y+9= 5

y=5-9

y= -4

Answer:

Parentesis

Exponent

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

Answer: PEMDAS stands for parenthesis, exponents, multiplication, division, addition, subtraction

Answer:

6

Step-by-step explanation:

3/4 of 801 is approx 600

   3/4 % of 801 would be this answer divided by 100 .... = 6

Answer: Yes

Step-by-step explanation:

10: 10, 20, 30, 40, 50 , 60, 70, 80 , 90, 100, 110, 120

12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120

Both have 120 as a common multiple.

150× 60% ÷ 1⅔

150×60/100 ÷ 5/3

15 × 6 ×3/5

3 × 18

54

54 servings of the chili were sold.

The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

A chef made 150 cups of chili and sold 60% of it. Then the number of cups of chili that he sold will be calculated as,

⇒ 60% of 150

⇒ 0.60 x 150

⇒ 90 cups

The serving size of the chili is 1 ²/₃ cups.

Convert the mixed fraction number into a fraction number, then we have

1 ²/₃ cups = 1 + 2/3

1 ²/₃ cups = 5/3 cups

Then the number of servings of the chili sold will be calculated as,

⇒ 90 / (5/3)

⇒ 90 x (3 / 5)

⇒ 18 x 3

⇒ 54

The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.

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Answer: d=36

Step-by-step explanation:

9/2=4.5

36/8=4.5 :)

Answer:

See answers in the picture below.

Step-by-step explanation:

Answer: 5 negatives

Step-by-step explanation:

Answer:

Step-by-step explanation:

Least Common Multiple of 10 and 12 = 60 Step 1: Find the prime factorization of 10 10 = 2 x 5 Step 2: Find the prime factorization of 12.

Answer: 14 students.

Step-by-step explanation:

Answer:

The y intercept is (0,7) The x intercept is (9,0)

Step-by-step explanation:

You set the x to zero if you want the y intercept and vice versa for the x intercept.

14x+18y=126  y intercept

14(0)+18y=126

0+18y=126

18y=126  divide by 18

y=7

do the same thing for the x intercept except set the y to 0  

Answer:

5.89 x 10^6

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 5,890,000 is written in scientific notation.

To find a, take the number and move a decimal place to the right one position.

Original Number: 5,890,000

New Number: 5.890000

count how many times you moved the decimal and that's your power

in this case it's ^6

Answer:

x=32

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

Answer:

its D

12,455 + x = 23,894

x = 10,560

Step-by-step explanation:

Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:

10,205 + x = 23,894

To solve, we must isolate the variable by subtracting 12,455 from both sides:

10,205 + x = 23,894

-10,205        -10,205

x = 10,560

So, the second month's salary was $10,560

Step-by-step explanation:

Answer: x = $30,560

Step-by-step explanation:

1. Let the second month payment be x

2. The first month + The second month = both of the months

3. So substituting: 10,205 + x = 40,765

4. Subtract 10,205 from both sides: x = 30,560