15 Kilograms of fruit are packed in each case. How many cases are needed to pack 185 Kilograms of fruit? How many kilograms will be left over?

Answer:

She waited for 20/r-20/s at the end of the line.

Step-by-step explanation:

The solution is, Time Sophie waits for Rana to arrive at finish point

=20/s - 20/r.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

The speed of Sophie and Rana are given as s miles per hour and r miles per hour.

The distance traveled by Sophie and Rand are 20 miles each.

The time taken by Sophie and Rana to travel 20 miles can be calculated by the formula

Speed =distance/time

Or, Time =distance/speed

Time taken by Sophie to travel 20 miles =20/s

Time taken by Rana to travel 20 miles =20/r

Time Sophie waits for Rana to arrive at finish point =20/s - 20/r

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Final answer:

To find the volume of water needed to fill the pool to a depth of 2m, use the formula for the volume of a cylinder.

Explanation:

To determine the volume of water needed to fill the circular pool to a depth of 2m, you can use the formula for the volume of a cylinder:

V = πr²h

Given that the pool is circular, h = 2m, and to the nearest cubic meter, you would need:

Volume of water = π( r )²( 2 )

Answer:

20×1/4

Step-by-step explanation:

Answer:

This is super late but I want to help others who don't know the answer

Step-by-step explanation:

The answer is in the picture.

Thank me later :)

x - 2y
= -3 - 2(-6)
= - 3 + 12
= 9

The answer is 30 because -3-2=-3+(-2)=-5 then -5(-6) equals 30 because when you multiply two negatives it equals a positive

Formula: C= 2(pi)r

C = 6.28
pi = 3.14
r = ?

6.28 = 2(3.14)r
6.28 = 6.28r

r = 1

Answer:  3sin(45) over sin(40)

Using the law of sins that is given, you can write the following proportion.
3/sin(40) = c/sin(45)

All you have to do to solve for C is to multiply by sin(45). In the proportion, the letter are the side lengths and the trig ratios are of the angle opposite the side.

ANSWER

[tex] c = \frac{3 \sin(45 \degree)}{\sin(40 \degree)} [/tex]




EXPLANATION

The sum of the interior angles of the given triangle is
[tex]180 \degree[/tex]


This implies that

[tex]A + 95 \degree + 45 \degree = 180 \degree[/tex]


We group like terms to get,

[tex]A = 180 - 140[/tex]


[tex]A = 40 \degree[/tex]


The law of sines is given by,

[tex] \frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c} [/tex]


Based on our known values, we use,
[tex] \frac{ \sin(A) }{a} = \frac{ \sin(C) }{c} [/tex]

We now substitute the values to get,

[tex] \frac{ \sin(40 \degree) }{3} = \frac{ \sin(45 \degree) }{c} [/tex]

We reciprocate both sides of the equation to get,

[tex] \frac{ 3}{\sin(40 \degree)} = \frac{ c }{\sin(45 \degree)} [/tex]


We now multiply both sides by
[tex] \sin(45 \degree) [/tex]
to get,

[tex] \frac{3 \sin(45 \degree)}{\sin(40 \degree)} =c[/tex]


or


[tex] c = \frac{3 \sin(45 \degree)}{\sin(40 \degree)} [/tex]

The correct answer is B.

The piece of wood is 4 yards long.

There are 3 ft in a yd.
4 yd = 4 * 3 ft = 12 ft

There are 12 in in a ft.
12 ft = 12 * 12 in = 144 in

The 4-yd length is the same as 144 in length.

To find how many 6 in pieces fit in a 144 in piece, we divide 144 by 6.

(144 in)/(6 in) = 24

Answer: He can cut 24 pieces.

24 Pieces cut from the wood.

What is a simplified Fraction?

Simplest form conversion of incorrect fractions to mixed numbers. By reducing to the simplest words and outlining the effort required, this calculator also makes correct fractions simpler. A number that will divide equally into the numerator and denominator so that it may be lowered is required in order to simplify a fraction. To transform a fraction into a mixed number, the numerator must be higher than the denominator (an improper fraction).

Given, Paul has a piece of wood that is 4 yards long. He knows there are 12 inches in 1 foot, and 3 feet in 1 yard. total woods in inches would be,

total inches of wood = 4 yards

total inches of wood = 4 * 3 feet

total inches of wood = 4 * 3* 12 inches

total inches of wood = 144 inches

Given 6-inch pieces cut from the length of the wood. Therefore, the total number of pieces cut from the wood is 144/6 or 24 pieces

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I Think The Answer Is 140.

The Expression: 0.8x + x = 252 Can Explain The Answer If x = 140.
Or: 1.8 Times x = 252 If x = 140.

To find the value of n you first need to isolate it. To do this subtract 4.8 from both sides of the equation to keep it balanced. 4.8+n-4.8=6.2-4.8
Now you have n = 1.4

n=0.774194 your welcome because im litrally the best :]

Hi!

Expression: 6(2)+3

Ethan is 3 years older than twice his brother's age. 

6(2)+3

12+3

15

Ethan is 15.

Happy studying! 
~SimpleGirl~

Start with Ethan being twice as old as his brother Adrian. If Adrian's age is represented by x, then we can use the expression 2x. Ethan is also three years older than twice that age though, so modify the expression to add three years.

2x + 3. Now substitute Adrian's age, 6, into x and solve.

2(6) + 3
12 + 3
15.
If Adrian is 6, then Ethan is 15.

The answer is 0.90

I used a rather ghetto way to answer this question.

first, I multiplied 20 by 5 to get it to 100 then I multiplied 18 by the same number (5) and got 90. That makes 90 out of 100 which is 0.90

Final answer:

Thomas spelled 18 out of 20 words correctly, which, when divided, gives us 0.9. This decimal represents the portion of the words he spelled correctly on his quiz.

Explanation:

To find the decimal that represents the portion of words Thomas spelled correctly on his quiz, we follow a simple process of division and conversion to a decimal.

Thomas spelled 18 out of 20 words correctly. So, we divide 18 by 20 which equals 0.9. This is the decimal that represents the portion of words Thomas spelled correctly.

Using synthetic division:

Draw an upside down division symbol. Place the constant of x + 3 (-3) on the outside, and the coefficients of 3x³ + 5x on the inside, like so:
   
    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      
    |___________

Bring down the first coefficient:

    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      
    |___________
      3

Multiply the number outside the symbol (-3) by the 3 you've just brought down. Place that number under the next coefficient to the right.

    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      -9
    |___________
      3

Add the new number (-9) to the coefficient above it and place that number directly underneath it.

    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      -9
    |___________
      3   -9

Repeat this process until you've reach the end of the symbol.

    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      -9   27 -96
    |___________
      3   -9  32  -96

The resulting numbers are coefficients, the first three of the quotient, and the last one of the remainder. The remainder is the last coefficient (-96) over the divisor.

(3x^3+5x) / (x+3) = 3² - 9x + 32 + -96 / x + 3

It’s Daice if you favtorize it will become 6^3 x1/4^4 then it becomes 6^3/4^2

We will be using division property of exponents.

The property is as follows:

[tex] \frac{x^{a}}{x^{b}} =x^{a-b} [/tex]

This means if we have same base in both numerator and denominator, the exponents will get subtracted.

In our question we have

[tex] \frac{4^{1}}{4^{3} } =4^{1-3} [/tex]

[tex] \frac{4^{1}}{4^{3} } =4^{-2} [/tex]

Now we will use another property of exponents here:

[tex] x^{-a} =\frac{1}{x^{a} } [/tex]

So if we take reciprocal of the above expression we will get,

[tex] 4^{-2} =\frac{1}{4^{2} } [/tex]

Rewriting the final answer:

[tex] \frac{6^{3} }{4^{2} } [/tex]

1 cm = 15 m (as stated in the bottom right hand corner of the image)

The wall measures 6 centimeters

w stands for the actual wall in meters

w = 15 x 6
w = 90

90 meters is your answer for the width

hope this helps

So you know that 1cm = 15 m in the diagram, and the width of the diagram's building is 6 cm. To solve, first you have to convert the 15 m to cm (centimeters) to make the measurements equivalent. There are 100 cm in 1 m, so you will multiply 15 x 100 = 1,500. 
Now just multiply 6 x 1,500 to figure out how many cm the real wall is:
6 x 1,500 = 9,000     so the width of the real wall is 9,000 cm, but they want the answer in m (meters) so just divide 9,000 by 100:
9,000 ÷ 100 = 90     Your answer is 90 m. Hope this was helpful!

9x 6x6x3.14 = 1017.36
I followed the formula but why donMt have the answer right here

Answer: The inequality that represents the temperature t in degrees Fahrenheit at any time on this day is [tex]t\leq 9[/tex] degree Fahrenheit.

Explanation:

It is given that on a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. It means the temperature on this day must be less than or equal to 9 degree Fahrenheit.

Let t represents the temperature in degrees Fahrenheit at any time on this day. Then,

[tex]t\leq 9[/tex]

Therefore, the inequality that represents the temperature t in degrees Fahrenheit at any time on this day is [tex]t\leq 9[/tex] degree Fahrenheit.

Answer:

[tex]t\leq 9^{0}F[/tex]

Step-by-step explanation:

We have been given that highest temperature recorded on a winter’s day is 9 degrees Fahrenheit and we are asked to write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day.

Since we know that highest temperature can't exceed 9 degrees Fahrenheit on the given day and it will be less than or equal to 9.

Therefore, our inequality will be,[tex]t\leq 9^{0}F[/tex]

Final answer:

The surface area of the triangular prism with dimensions of 10m, 9m, 6m, and 8m is 218m².

Explanation:

To find the surface area of a triangular prism, we need to find the sum of the areas of all its faces.

A triangular prism has two triangular bases and three rectangular lateral faces. Let's calculate the surface area:

1. The area of each triangular base can be found using the formula: 1/2 × base × height.

For the first base, the base is 10m and the height is 6m. So the area of the first base is 1/2 × 10m × 6m = 30m².

Similarly, for the second base, the base is 9m and the height is 8m.

So the area of the second base is 1/2 × 9m × 8m = 36m².

2. The area of each rectangular lateral face can be found using the formula: length × width.

The lengths of the lateral faces are 10m, 9m, and 6m.

The common width of the lateral faces is the height of the prism, which is 8m.

So the total area of the lateral faces is 10m × 8m + 9m × 8m + 6m × 8m = 152m².

3. Finally, the total surface area of the triangular prism is the sum of the areas of the bases and the lateral faces: 30m² + 36m² + 152m² = 218m².

Therefore the surface area of a triangular prism is 218m².

40 ft x 12 to convert it to inches.
480 inches / 25 inches = 19.2 Inches dropped.

Answer: Hence, There is vertical distance of 19 inches the pipe must drop between its ends.

Step-by-step explanation:

Since we have given that

Rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance.

For 1 inch = 25 inches of vertical distance the pipe must drop.

If there is a 40 foot long rain water pipe runs under the edge of a roof.

Then, we need to find the vertical distance in inches the pope must drop.

First, we change 40 feet into inches.

Since 1 foot = 12 inches

40 feet = 40×12 inches = 480 inches

So, Vertical distance the pipe must drop is given by

[tex]\dfrac{480}{25}\\\\=19.2\ inches[/tex]

Hence, There is vertical distance of 19.2 inches ≈ 19 inches the pipe must drop between its ends.

it 38 units hope this helps

Answer:

the answer is 26 units

Step-by-step explanation:

Hello!

A) The mass of the air freshener A decreases by 3.2 grams each day. Define a function, f, to represent this situation.

In this function, the mass of the air freshener A (m) is the dependent variable and the days (t) and the initial amount of the air freshener A (mi) are the independent variables. If the mass decreases by a fixed amount each day, you only have to multiply this amount by the number of days:

[tex]m=mi-(3,2*t)[/tex]

B) The mass of the air freshener B decreases by 3.2% each day. Define a function, g, to represent this situation.

This function is trickier since there isn't a fixed amount of decreasing. Instead, the rate of decreasing depends on the initial amount of the freshener (mi). You have to include this initial amount in the equation to correctly model it. This is how you do it:

[tex]m=mi-(mi* \frac{3,2}{100}*t) [/tex]

Have a nice day!

the shape you're is a hexagon.

You are a hexagon. You have 6 sides and hexagons have 6 sides.

Hello!

The expression: [tex]-14c-7(-19c-6)[/tex].

First step: Apply the Distributive Property; it is [tex]a(b + c) = ab + ac[/tex].

[tex]-14c-7(-19c-6)[/tex]
[tex]-14c+133c+42[/tex]

[A negative times a negative equals a positive.]
Next step: Combine like terms.

[tex]-14c+133c+42[/tex]
[tex]119c+42[/tex]

The simplified expression is [tex]119c+42[/tex].

Okay. First things first, we will distribute the -7 out to the numbers in the parenthesis. To do that, you will multiply each number in there by -7. -7 * -19c is 133 and -7 * -6 is 42. That makes the numbers become 133c + 42. We will combine like terms with -14c. 133c - 14c is 119c. The expression becomes 119c + 42. The expression in simplest form is 119c + 42.

Here is a photo of what I chose as my equivalent numbers (Red represents my work, blue represents which step comes next, and highlighter shows what the answer is). My reasoning that 1/2 and 5/10 are equivalent is because 5/10 divided by 5/5 is 1/2.

D, because 9 3/4 and -9 3/4 cancel out to 0, which is the additive inverse property.

We have to identify the expression in which Additive inverse identity is applied.

Additive inverse property states that "The additive inverse of a number 'x' is a number that when it is added to 'x', yields zero".

Consider the first expression,

A. [tex] -329-164+513+206+(-164) [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

B. [tex] 1.6+0.2-1.8-0.5 [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

C. [tex] -\frac{7}{10}-\frac{3}{4}+1\frac{1}{2}+(-\frac{7}{10}) [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

D. [tex] 9\frac{3}{4}\+4\frac{5}{8}+(-9\frac{3}{4}+(2\frac{3}{5}) [/tex]

Here, [tex] 9\frac{3}{4} [/tex] when added to [tex] -9\frac{3}{4} [/tex] will yield zero. Therefore, [tex] -9\frac{3}{4} [/tex] is the additive inverse of [tex] 9\frac{3}{4} [/tex].

So, in option D, Additive inverse property is applied.

were doing the same test its a.

Answer:

A

Step-by-step explanation: