Josephine earns a salary of $560.00 per week, plus a commission of 10 % on all sales. Last week she sold $843 worth of goods. How much was she paid?
$ __________ .

Answer:

Step-by-step explanation:

The probability of rolling a 3 on a fair 6-sided die that P(3) is 0.17.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since each side of the die is equally likely to land face up,

So the number of favorable outcomes n(E) = 1

And the total number of outcomes n(S) = 6

Thus, P(3) is the probability of rolling a 3 on a fair 6-sided die :

P(3) = n(E)/n(S)

P(3) = 1/6

P(3) = 0.17

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Each supply caddy get c/6 erasers.

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)

Given Mrs. Strong divided c erasers evenly among the 6 supply caddies,

total number of erasers = c

divided equally to 6 caddies,

each caddies get c/6 erasers.

Hence Each supply caddy get c/6 erasers.

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The variable x has infinite many solutions in the expression 10x - 3 + 2x + 4

From the question, we have the following parameters that can be used in our computation:

10x - 3 + 2x + 4

The given parameter above is an expression, not an equation

This means that we cannot determine the value of x

This is so because the variable x has infinite many solutions

This in other words means that the variable x can assume any value, and the expression would assume any value depending on the value of x

Hence, the variable x cannot be determined or it has infinite many solutions

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It is (last option) 5x-y≤1.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

Here, in the graph the inequality is 5x-y≥1

(5x-y)+(-5x)≥1+(-5x)

-y≥1-5x

y≤5x-1

(here, slope= 5 & y-intercept= -1)

Hence, this inequality shows the shaded portion in the graph.

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The value of the height(h) is  10. 0702 cm

From the information given, we have to use the SOHCAHTOA rule

Using the trigonometric identities, we have;

From the diagram shown, we have;

Using the trigonometric identity, sine, we have;

sine 46 = h/ 14

Now, cross multiply, we get;

h = sin 46 × 14

find the value and substitute

h = 0. 7193 × 14

h = 10. 0702 cm

Hence, the value is 10. 0702 cm

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Answer:

b. 12.6

Step-by-step explanation:

Calculated using the Pythagorean theorem:

we need the height and base of the cone,

the radius of the cone can be found by calculate half of the diameter which is: 8 ÷ 2 = 4

4² + 12² = x²

which is:

16 + 144 = x²

is equal to:

160 = x²

We find the square root of 160, which is:

12.6491106407

The new temperature in Moscow is +2 °C. (b) The temperature in Juneau falls by 6 °C.

Temperature in mathematics is usually referred to as a measure of the average kinetic energy of the particles in a system. The higher the temperature of the system, the more energetic the particles are and the more likely they are to move around. Temperature is usually measured in Kelvin, Celsius, Fahrenheit, or Rankine.

The new temperature in Moscow is now +2 °C.
The temperature falls by 6 degrees Celsius from 4°C to -2°C. This drop in temperature is an example of how quickly the weather can change in Juneau. The city is located in Southeast Alaska, along the coast of the Gulf of Alaska. This means that it is often subject to sudden shifts in temperature and weather patterns due to its close proximity to the ocean. The high humidity and large temperature range make Juneau a great place for outdoor activities like kayaking, fishing and hiking. However, it's important to always be prepared for changes in the weather.

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Answer:

23/30

Step-by-step explanation:

2-2/5-5/6=8/5-5/6=48/30-25/30=23/30

The time it will take the pizza to reach 0 degrees Celsius would be 0.75 minute.

A graph is defined as the diagram that is used to represent the variation of a variable in comparison with that of one or more other variables.

From the given graph above, the X axis is the time in minutes which is plotted against the temperature at y axis is degree Celsius.

From the graph, the time it will take the pizza to reach 0 degrees Celsius would be 0.75 minute.

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The sequence of height of the ball after each bounce are in geometric sequence with ratio of 0.75.

What is Arithmetic Progression ?

Arithmetic progression can be defined as the sequence of numbers which has same difference between any consecutive numbers.

Given,

A ball is dropped from the height 160cm

And the ball loses 25% of its previous height after each bounce.

so,

for every bounce the height will be decreased by 25%

after first bounce , 160 - 160/4 = 120

after second bounce , 120 - 120/4 = 90

after third bounce , 90 - 90/4 = 67.5

The sequence could be 160,120,90,67.5 and soon

if a1 / a2 = a2/a3

it is said to be in gp

so a1/a2 = 120/160 = 0.75

a2/a3 = 90 / 120 = 0.75

Hence , we can say that the sequence is in gp with common ratio of 0.75

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Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

23+37=60 and add 9 to the left hand side and right hand side of equation doesn't change the consistency

Answer:

x = 3

Step-by-step explanation:

2 : x and 12 : 18 ( divide both parts of the ratio by 2 )

2 : x and 2 : 3

for the 2 ratios to be equivalent then x = 3

Answer:

Step-by-step explanation:

2 1/8 = 17/8

4/8 + 17/8 = 21/8

21/8 = 2 5/8

Therefore, Tom took 2 and 5/8 hours to clean the two rooms

Answer: 2 5/8 hours ( 2 hours and 38 mins [rounded])

Step-by-step explanation: For the best experience, look at the attachment:

So, first I took the numbers and set up an addition problem. But we have a problem. They both don't have the same denominator. So first, we need to find a common denominator before we add. So, luckily we know that 2 is a factor of 8. So 1/8 would stay the same and we'd multiply the 2 by 4 to get the denominator, and 1 by 4 to get the denominator. Then, you'd add 2 1/8 to 4/8 to get 2 5/8. Also, I converted 5/8 of an hour to get 37.5 mins, so I rounded up to 2 hrs and 38 mins.

Answer:

  x = -7

Step-by-step explanation:

You want to know the value of x given a triangle with exterior angle 130° and remote interior angles of 51° and (-8x+23)°.

The measure of the exterior angle (130°) is the sum of the remote interior angles, 51° and (-8x+23)°.

  130 = 51 +(-8x +23)

  56 = -8x . . . . . . . . . . . subtract 74

  -7 = x . . . . . . . . . . . divide by -8

The value of x is -7.

keeping in mind that a line with a slope of "0" is just a horizontal line, Check the picture below.

Answer:y = -3

Step-by-step explanation:

The distributive property states that we can multiply the number three by both the x and the 2 in an expression like 3(x + 2) to get 3x + 6.

A property is any quality that pertains to a particular set in mathematics.

To solve the issues in..., you'll need to have a solid grasp of these qualities. Using the formula 5 + 6 = 11, the identical problem is solved in this case. Several other methods to write "three times the variable x" include 3x, 3(x), and 3 x. If x = 2, then evaluate 5(2x - 3) using the distributive property.

The distributive property states that we can multiply the number three by both the x and the 2 in an expression like 3(x + 2) to get 3x + 6.

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Answer: Cameron score is 27 times greater than Marlon

Step-by-step explanation:

Since the question state that Cameron won the basketball game against Marlon, we can assume that Cameron score is 36 while Marlon is 9.

To compute how greater does Cameron score than Marlon we can use the Method of subtraction.

So what is subtraction?

SUBTRACTION: it is a process or method of taking away a number or the amount of number from another.

FORMULA:

Cameron score - Marlon score

36 - 9 = 27

Answer:27

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A line of symmetry will connect a vertex and a midpoint of an opposite side, it has 7-fold symmetry.

A two-dimensional shape having seven sides and seven angles are called a heptagon. It is a member of the two-dimensional geometry polygon class. Polygons are closed geometric shapes with only straight edges. In Greek, "hepta" denotes seven, while "gonia" denotes an angle.

The true statements about the reflectional symmetry of a regular heptagon are:

A line of symmetry will connect a vertex and a mid-point of an opposite side,

A regular heptagon has 7 sides. So, it has 7-fold symmetry

Also, the line of symmetry passes through the midpoint and meets the opposite vertex.

Therefore, the true statements are: (b) and (c)

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Answer:

126

Step-by-step explanation:

it is the sum from x = 1 to x = 3

so we plug 1 to 3 in for x and add all those values

x = 1:

(3*1)^2 = 9

x=2:

(3*2)^2 = 36

x=3:

(3*3)^2 = 81

sum = 81  + 36 + 9 = 126

Answer:

20 percent

Step-by-step explanation:

[tex]\frac{400}{500}[/tex][tex]=0.8[/tex]

[tex]1-0.8=0.2[/tex]

This means that 20 percent off of 500 is 400.

Answer:

The answer should be 20%

Step-by-step explanation:

Hope this helps

The given expression is equivalent to (3y/x)(1 + 2x²y).

Given is the expression as follows -

9xy/3x² + 6xy

The given expression is -

9xy/3x² + 6xy

(9xy/3x²) + 6xy

(3y/x) + 6xy

3y/x + 6xy

(3y + 6x²y)/(x)

(3y/x)(1 + 2x²y)

Therefore, the given expression is equivalent to (3y/x)(1 + 2x²y).

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Yes, the patch is a square since all the sides of the parallelogram have the same measure.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

The patch is a parallelogram.

All angles of the parallelogram are equal.

The patch is a parallelogram,

This means,

The top side and the bottom side are equal.

The right and left sides are equal.

Now,

Top side = Right side

This means,

Top side = Right side = Bottom side = Left side

All sides of the patch are equal.

Thus,

The patch is a square.

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Answer:

a = 21

b = 3

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{11cm}\underline{Binomial Series}\\\\$\displaystyle (a+b)^n=a^n+\binom{n}{1}a^{n-1}b^1+\binom{n}{2}a^{n-2}b^2+...+\binom{n}{r}a^{n-r}b^r+...+b^n$\\\\\\Where $\displaystyle \binom{n}{r} \: = \:^{n}\text{C}_{r} = \frac{n!}{r!(n-r)!}$\\\end{minipage}}[/tex]

Given binomial expansion:

[tex](x+y)^7=x^7+7x^6y+ax^5y^2+35x^4y^b+35x^3y^4+21x^2y^5+7xy^6+y^7[/tex]

The coefficients of the given binomial expansion are:

Due to the symmetry of the coefficients in a binomial expansion:

The exponent of the second term y increases by one for each term in the expansion.  Therefore:

Using the slope-intercept general form of y = mx + c , Parallel lines have same slope and (0,2) gives c = 2 , The answer is y=3x/4 + 2.

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

In a linear equation, the slope (also called the gradient) is a measure of the steepness of the line, and the y-intercept is the point at which the line crosses the y-axis. The slope of a linear equation can be represented as m in the form of y = mx + b, where m is the coefficient of x, and b is y-intercept. The y-intercept is the point where the line crosses the y-axis, which can be represented by the value of b in the form of y = mx + b.

c=2 units

m=3/4

y=3x/4 + 2

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Answer:

5c = 24.75

Step-by-step explanation:

5c = 24.75  If you divide both sides by 5, you will find out how much each movie cost.

[tex]\frac{5c}{5}[/tex] = [tex]\frac{24.75}{5}[/tex]

c = 4.95

Each movie cost $4.95 to rent.

The given expression is rewritten as 1/12 xy(x²+7y). Therefore, the correct answer is option C.

The factors are the polynomials which are multiplied to produce the original polynomial.

The given polynomial is 1/12 x³y+7/12 xy².

Here, 1/12, x and y are the common factors from both the terms of the expression.

That is 1/12 xy(x²+7y)

Therefore, the correct option is C.

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Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.

Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.

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the complete question is

is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain

It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.

What is Momentum ?

The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .

So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,

whereas the object with 0 velocity will only have No (zero) momentum if the  mass is also 0 .

Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .

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Answer: C

Step-by-step explanation:

Distribute the 4 into the 2 and the 1 and you have 8x+4

Answer:

260 centimeters is more

Step-by-step explanation:

There is 100 cm in 1 meter, which means that there would be 250 cm in 2.5 meters. 250 < 260, so 260 cm is greater than 2.5 meters.