A company loses $780 as a result of shipping delay. The 6 owners of the company must share the loss equally. Write an expression to show the change in profit for each owner.

A. -780+6
B. 780/6
C. -780/6
D. -780 x 6

Answer:

a) 31.25

b) 30

Step-by-step explanation:

The price function is given as:

\(\mathbf{P(x) =\left \{ {1.25x \ for \ x \ \leq \ 25} \atop {1.20x \ for \ x \ > \ 25}} \right. }\)

Find:

\(\mathbf{ \lim_{x \to 25^-} P_{(x)}}\)

\(\mathbf{ \lim_{x \to 25^+} P_{(x)}}\)

\(\mathbf{P(x) =\left \{ {1.25x \ for \ x \ \leq \ 25} \atop {1.20x \ for \ x \ > \ 25}} \right. }\)

\(\mathbf{ \lim_{x \to 25^-} P_{(x)} = 1.25 * 25} \\ \\ =31.25\)

\(\mathbf{ \lim_{x \to 25^+} P_{(x)} = 1.20 * 25} \\ \\ =30\)

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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Multiplying monomials

To multiply two or more expressions with the same base, we add the exponents.

For example:

We are given the expression (in letters)

Since both factors have the same base y, we have to add both exponents:

Since a+a+2 = 2a+2:

Answer:

Step-by-step explanation:

Sharon has 56 stickers.

Sharon distributes evenly between 8 students.

Given equation:

Solve:

Sharon gives 7 stickers to each student.

Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

Answer:

\(\frac{7}{11} * \frac{1}{4}\) = \(\frac{7}{44}\).

Cannot reduce it. Then it will make the numerator a decimal

Which cannot happen.

\(\frac{7}{44}\) is the answer then

Answer:

7/11 x 1/4 = 0.015

I hoped it helped you.

Answer: D

Step-by-step explanation:

(lines parallel to each other have the same slope)

slope = m = 2

y = mx + b, (5,6)

6 = 2(5) + b

6 = 10 + b

b = -4

y = 2x - 4

y - 6 = 2(x - 5)

y - 6 = 2x - 10

y = 2x -4

Answer:

D. 110

Step-by-step explanation:

First let's start by finding the measure of Angle ACB. Since angles in a triangle add up to 180 degrees:

ACB=180-(50+60)

ACB=180-110

ACB=70

We can also see that Angle X is supplementary/linear pair with Angle ACB. This means that Angle X+Angle ACB is equivalent to 180 degrees.

So...

x=180-ACB

x=180-70

x=110 degrees

Answer:

5.71

Step-by-step explanation:

x = 20/3.5 = 5.71

Answer:

\(gf(x))= \frac{10}{\sqrt{x-2} }\)

Step-by-step explanation:

Explanation

Given function f(x) = \(1 + \sqrt{x-2}\)    and  g(x) = \(\frac{10}{x-1}\)

gf(x) = (\(g(1 + \sqrt{x-2})\)  )

       \(= \frac{10}{1+\sqrt{x-2}-1 }\)

       \(= \frac{10}{\sqrt{x-2} }\)

\(gf(x))= \frac{10}{\sqrt{x-2} }\)

Answer:

$200,703.60

Step-by-step explanation:

this is the is the answer, i used a tvm solver

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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Answer: 1400 packages

Step-by-step explanation:

1150+1200+1900+1350 divided by the 4 day interval means and average of:

1400 packages per day

Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

Table 1

x 5 10 11

y 3 9 15

Table 2

x 5 10 11

y 3 9 9

Table 3

x 5 10 10

y 3 9 15

Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

Table 1

x 5 10 11

y 3 9 15

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

Table 2

x 5 10 11

y 3 9 9

Note that the x rows are unique as no value were repeated;

Hence, Table 2 is a function

Table 3

x 5 10 10

y 3 9 15

Note that the x rows are not unique because 10 was repeated twice;

Hence, Table 3 is not a function

Answer:

a. the largest number of observations.

Step-by-step explanation:

The mode is the variable in a data that has the highest frequency. Which implies that it occurs more than other variables.

When plotting a histogram, the modal class is one that has the greatest number of observations. Showing that the variables comprised in the class has more occurrence than others. Therefore, the required answer to the question is option a.

Answer:

2/-3

Step-by-step explanation:

Trust me.

Answer:

I think so the answer is a)y=x³+2x²-1

Answer:

21/8

Step-by-step explanation: So in 1 day Peter walks 7/8 of a mile. You take 3 and make it 3/1 then mutiply it by 7/8. Your final answer is 21/8 miles or 2 5/8

<XYZ =90°(ANGLE ON THE SEMI-CIRCLE)

MEANING

NOW WE HAVE 1 UNKNOWN <XZY

<XYZ+<YXZ+<XZY=180°(SUM OF ANGLES OF A TRIANGLE)

90°+88°+<XZY=180°

<XZY=180°-90°-28°

<XZY=62°

BE ALERT I USED THE WRONG ANGLE OF <YXZ BECAUSE IT WAS UNCLEAR IN THE PICTURE BUT WITH WHAT I WROTE YOU WILL BE ABLE TO PLUG IN CORRECT VALUE OF THE ANGLE!!AND FIND THE CORRECT ANSWER.

Answer:

4.151

You're welcome.

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Answer:

3/5*5/7*14/3-2/5

8/5...

Answer:

Step-by-step explanation:

The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Equivalent expressions are expressions that have similar value or worth but do not look the same.

Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).

Let's factorise to know whether the expressions are equivalent.

Therefore, using the common factors,

8x + 4y = 4(2x + y)

Hence, the expression are not equivalent .

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The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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Answer:

Lateral area of the cylinder = 62.85 cm²

Step-by-step explanation:

Given:

Diameter of cylinder = 10 cm

Radius of cylinder = 10 / 2 = 5 cm

Height of cylinder = 2 cm

Find:

Lateral area of the cylinder

Computation:

Lateral area of the cylinder = 2πrh

Lateral area of the cylinder = 2(22/7)(5)(2)

Lateral area of the cylinder = 2(22/7)(10)

Lateral area of the cylinder = (440/7)

Lateral area of the cylinder = 62.85 cm²

Answer:

103288

Step-by-step explanation:

1 mile is equal to 63360 inches. 98 times 63360 is 6209280 inches per hour

divide by 60 to get 103288 inches per minute.

Answer:

1/36

Step-by-step explanation:

Assuming this is a 6-sided die, 5 covers one of these six sides, giving you a 1/6 chance of rolling a 5 the first time.

To determine the probability of two consecutive 5's, simply multiply the two probabilities, 1/6 by 1/6

1/6 x 1/6 = 1/36