Thomas and Helen share some
money in the ratio 2:5. Helen receives
£15 more than Thomas. How much
money does Helen receive? *
(1 Point)
25
10
05
15​

The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

For similar question on total amount:

https://brainly.com/question/11807738

#SPJ11

The expected number of employees working at Sprockets R Us in 2006 will be 8069.45.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006?

The number of the employees in 2006 will be calculated as:-

Number of employees decreased   = 0.5% x 8110

Number of employees decreased   = (0.5/100) x 8110

Number of employees decreased   = 40.55

The number of the employees in 2006 will be

N = 8110 - 40.55 = 8069.45

Therefore the expected number of employees working at Sprockets R Us in 2006 will be 8069.45.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ1

A basis for R3 that includes vectors in the set is {[1 0 -2], [3 2 -4], [0 0 1]}. This is achieved by removing the linearly dependent vector [1 0 -2] and adding the vector [0 0 1] to the set to obtain a set that spans R3.

A basis for R3 that includes vectors in the set can be found by removing vectors from a linearly dependent set and/or adding vectors to a set that does not span R3.

The set given is {[1 0 -2], [3 2 -4]}.

To check if the set spans R3, we need to calculate the determinant of the matrix created by the two vectors. The determinant of the matrix is 0, which tells us that the set does not span R3. To create a basis for R3, we need to add a third vector that is not linearly dependent on the other two. We can add the vector [0 1 1] to the set, creating the following set:

{[1 0 -2], [3 2 -4], [0 1 1]}

To check if this set spans R3, we calculate the determinant of the matrix created by the three vectors. The determinant of the matrix is -6, which is not 0.

Therefore, the set {[1 0 -2], [3 2 -4], [0 1 1]} is a basis for R3.

The complete question: For the matrix below. Find a basis for R3 that includes vectors in the set by removing vectors from a linearly dependent set and/or adding vectors to a set that does not span R3.

( matrix attached below )

Learn more about set here

https://brainly.com/question/30096139

#SPJ4

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

Learn more about workers in: https://brainly.com/question/30203906

#SPJ1

Answer:

The number of boys in the school is;

Explanation:

Given that the ratio of boys to girls in a school is 5:4;

And there are 500 girls in the school.

The number of boys in the school will be;

Therefore, the number of boys in the school is;

Answer:

Lee drank 31/15 qt. of water (2 1/15 qt. as a mixed number, or approximately 20.07 qt. as a decimal).

Step-by-step explanation:

To add and subtract fractions, a least common denominator needs to be found. But first, to make it easier, mixed numbers should be replaced with improper fractions. So, Lee drank 5/3 qt. of water.

Now to find the LCD (least common denominator), the denominators of each fraction should be multiplied by 1, then 2, then 3, etc until a product of one fraction is the same as that of another (as shown):

For 2/5, the denominator is 5, so 5*1 = 5, 5*2 = 10, 5*3 = 15...

For 5/3, the denominator is 3, so 3*1 = 3, 3*2 = 6, 3*3 = 9, 3*3 = 4, 3*5 = 15...

15 is the LCD, since both denominators can be multiplied by a whole number for a product of 15.

Now, each fraction is multiplied by 1, by multiplying each fractions numerators and denominators by the number found previously that causes the denominator to equal 15:

For 2/5, 5*3 = 15, so both 2 and 5 are multiplied by 3

        2* 3 = 6, 5 * 3 = 15, so 2/5 = 6/15

For 5/3, 3*5 = 15, so both 5 and 3 are multiplied by 5

        5* 5 = 25, 3 * 5 = 15, so 5/3 = 25/15

Now these fractions can easily be added or subtracted by performing these operations on their numerators. Sonia drank 6/15 qt. more than Lee, so she drank 6/15 + 25/15 qt. of water, or 31/15 qt.

Step-by-step explanation:

Answer:

Rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.

Step-by-step explanation:

Given that the volume of a cylinder is calculated using the formula Phi x Radius ^ 2 x Height, and knowing that the cylinder in question has a height of 13 inches and a base diameter of 12 inches, to calculate said volume the following calculation must be done:

Phi x (12x12) x 13 = X

Phi x 144 x 13 = X

Phi x 1,872 = X

3.14 x 1,872 = X

5,878.08 = X

Thus, rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.

The answer is 1470.3

2.368

Given expression is

90 ÷ [ 10 + ( 3 2 − 4 ) ]

According to BODMAS rule we simplify this expression

The order of operations consist of evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction.

90 ÷ [ 10 + ( 3 2 − 4 ) ]= 90 ÷ [ 10 + 28 ]

                                   = 90 ÷ [ 38]

                                   =  90 ÷38

                                   = 2.368

To learn more about this visit, https://brainly.com/question/22757001

#SPJ9

There is a proportional relationship between the number of apples remaining and the number of days that have passed.

Proportional relationship simply means the relationship between the variables where there are equivalent ratios.

In this case, the farmer has 100 apples and will eat 2 apples per day.

In this case, the farmer eats just 2 apples each day. This is the constant value. Therefore, there'll be a proportional relationship.

Learn more about proportional relationship on:

brainly.com/question/12242745

#SPJ1

Answer:

1/3 x 3/4 is equal to 1/4

Step-by-step explanation:

First multiply 1x3 and 3x4 which equals to 3/12

Next you do 3 divided by 3 and 12 divided by 3 which gets you the answer:

1/4

Answer: 13

Step-by-step explanation: The number goes up by three each time, so it would be 13.

Answer:

The nᵗʰ term of the sequence is 3n - 2.

Step-by-step explanation:

\(\longrightarrow{\sf{a_n = a + (n - 1)d}}\)

where :

Here we can see that the difference between two terms is 3.

Thus, finding the nth term of the sequence by substituting all the given values in the formula :

\(\longrightarrow{\sf{a_n = a + (n - 1)d}}\)

\(\longrightarrow{\sf{a_n = 1 + (n - 1)3}}\)

\(\longrightarrow{\sf{a_n = 1 + (n \times 3 - 1 \times 3)}}\)

\(\longrightarrow{\sf{a_n = 1 +(3n - 3)}}\)

\(\longrightarrow{\sf{a_n = 1 +3n - 3}}\)

\(\longrightarrow{\sf{\underline{\underline{a_n = 3n - 2}}}}\)

Hence, the nth term of the sequence is 3n - 2.

Answer:

16

Step-by-step explanation:

The total number of flowers in her garden 16.

Let the total flowers in Miss Lopez's garden is "X"

  Number of flowers of lilies = 10

  So,

        the number of flowers of daisies= (X-10)

According to the question,

  ratio of lilies to daisies in the garden is 5/3

       ⇒10/(X-10) = 5/3

      ⇒ 10=(X-10)×5/3

      ⇒10= (5X - 50)/3

     ⇒30=5X -50

    ⇒5X =80

     ⇒X=\(\frac{80}{5}\)

∴X=16

A linear equation only has one or two variables.

No variable in a linear equation is raised to a power greater than 1.

Learn more about linear equation here: https://brainly.com/question/1884491

#SPJ2

Answer:

(a) 56%

(b) 28%

Step-by-step explanation:

Hope this helps! :)

Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

2x

= 2(17)

= 34°

The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

As group size increases, the complexity of the group increases (option A).

What is group size?

Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.

As group size increases, the complexity of managing and coordinating the group also increases.

The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.

This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.

Therefore, the correct option is A.

To learn more about group size from the given link

https://brainly.com/question/29580215

#SPJ1

Answer:

Line AC, or choice (C)

Step-by-step explanation:

The opposite is always what is directly on the other side of a line if you were to draw one.

The opposite of ∠B is Line AC

The opposite of ∠C is Line AB

The opposite of ∠A is Line BC

~

Answer:

D: t = u/9 + 7 (that is simplified all of the way) for your case it is t = u + 63/9 so D

Explanation:

Just ask if you need an explanation. Also, does anyone do LD debate?

1. (7,3) and (13,8)

2. ( -5,2) and ( -1, -6)

3. (9, -3) and (9,4)

4. ( -2, -4) and ( -11, -7)

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

Answer: 0.1974

Step-by-step explanation:

Let X be a random variable that denotes the gas mileage (in miles per gallon) of the individual sedan.

Given: Population mean: \(\mu=20\)

Standard deviation: \(\sigma=2\)

The probability that the gas mileage (in miles per gallon) of your single, individual sedan is between 19.5 and 20.5:

\(P(19.5<x<20.5)=P(\dfrac{19.5-20}{2}<\dfrac{x-\mu}{\sigma}<\dfrac{20.5-20}{2})\\\\=P(-0.25<z<0.25)=2P(0.25)-1 [P(-z<Z<z)=2P(Z<z)-1]\\\\=2(0.5987)-1=0.1974\)

The required probability=0.1974

Answer:

Step-by-step explanation:

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

Answer:  6,6.         12,18.     18,6

Step-by-step explanation:

cause I got it right..

The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given graph has a triangle ABC.

The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)

We have to find the coordinates of triangle ABC after a dilation with scale factor 3.

Dilation is the scaling of an object, where it gets bigger or smaller

Now the coordinates after dilation are A'(6,6)

B'(12, 18)

C'(18, 6)

Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

The value of angle P = 119°

The value of angle Q = 61°

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the value of angle P be = P

Let the value of angle Q = Q

Now , the equation will be

Measure of angle P is three less than twice the measure of angle Q

Substituting the values in the equation , we get

P = 2Q - 3   be equation (1)

And , angle P and angle Q are supplementary

So ,

P + Q = 180°   be equation (2)

Substituting the value of P from equation (2) in equation (1) , we get

2Q - 3 + Q = 180

On simplifying the equation , we get

3Q - 3 = 180

Adding 3 on both sides of the equation , we get

3Q = 183

Divide by 3 on both sides of the equation , we get

Q = 61°

Therefore , the value of Q is 61°

Substitute the value of Q in equation (2) , we get

P + Q = 180°

Subtracting Q on both sides of the equation , we get

P = 180° - 61°

P = 119°

The measure of angle P = 119°

Hence , The value of angle P = 119°

The value of angle Q = 61°

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

n = 3

Step-by-step explanation:

10.5 divided by 3.5 will get you n.

Answer:

n = 3

Step-by-step explanation:

3.5n = 10.5

\(\frac{3.5n}{3.5} = \frac{10.5}{3.5} \\= 3\\so...\\n = 3\)

Answer:

∠TSQ and ∠UVX

Step-by-step explanation:

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

More can be learned about snow at https://brainly.com/question/18520972

#SPJ1

Answer: 691

Step-by-step explanation:

(17 + 6 + 9) × (19 + 16) - 19 × 7 - 6 × 4 - 16 × 17 = 691