Lee and Olivia share some money. Lee has 7/11 of the money. If Lee gives Olivia £18 then they have the same amount of money How much money did they share? Lee Olivia​

Answers

Answer 1

The total amount of money shared by Lee and Olivia is £132 and  Lee and Olivia shared £84 and £48, respectively.

Lee has 7/11 of the total money, which means Lee has (7/11) × x amount of money.

When Lee gives Olivia £18, they have the same amount of money.

So Olivia's share becomes equal to Lee's share.

Therefore, we can set up the following equation:

(7/11) × x - £18 = (1/2)×x

To solve this equation, we can simplify it:

7x/11 - £18 = x/2

Multiplying both sides of the equation by 22 (the least common multiple of 11 and 2) to eliminate the denominators:

14x - 22 × £18 = 11x

14x - 396 = 11x

Subtracting 11x from both sides:

14x - 11x - 396 = 0

3x - 396 = 0

Adding 396 to both sides:

3x = 396

Dividing both sides by 3:

x = 396/3

x = 132

To find Lee and Olivia's individual shares, we can substitute this value back into the initial conditions:

Lee's share = (7/11)× £132 = £84

Olivia's share = £132 - £84 = £48

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Related Questions

33 + 78 + 10 + 98 + 76

Answers

Answer:

The sum of 33, 78, 10, 98, and 76 is 295.

Answer:

295

Step-by-step explanation:

add the numbers by using the addiction sign

After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?

Answers

He drew a square best problem ever

PLS HELP WILL GIVE BRAINLIEST IF CORRECT (NO LINKS)

Find the measure of arc BC.

Answers

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

A dinner theater has fixed costs of $1,000 per day. It costs the dinner theater $10 per person for food and a
ticket to the dinner theater costs $30. How many tickets does the dinner theater have to sell in order to break
even?
50 tickets
O 10 tickets
O 100 tickets
O20 tickets

Answers

50 tickets because 30 times 50 is 1500 so minus the 10 difference it’s 1000 because u subtract 500 (50 times 10) from the answer.

round 52754.1683 the nearest.ten​

Answers

Answer:

52750

Step-by-step explanation:

Step 1:  Identify the digit in the tens place:

The digit in the tens place is always 2 spaces to the left of the decimal.Thus, the digit in the tens place is 5 (the one sandwiched between 7 and 4).

Step 2:  Examine the digit to the right of the tens place:

In this case, the digit to the right of the tens place is 4.

Step 3:  Determine the rounding:

When the digit to the right of the tens place is 5 or greater (5, 6, 7, 8, or 9), you round up the tens place digit by adding 1 to the digit in the tens place.Also, we remove the decimal point and everything to the left of it, using a whole number only.When the digit to the right of the tens place is less than 5 (4, 3, 2, 1, or 0), you keep the tens place digit as it is and the number to right of tens place digit it replaced by 0.We still remove the decimal point and everything to the left of it, using a whole number only.

Since the digit to the right of the tens place is 4 (which is less than 5), we keep the tens place digit as is.

Original number: 52754.1683

Rounding to the nearest ten: 52750

Thus, rounding 52754.1683 to the nearest ten gives us 52750.

PLEASE SOLVE THIS FAST!!!!

A surveyor wants to determine the width of a river. She surveys the area and finds the following measures below.

She uses a pair of similar triangles, to help her find the answer.

Answers

A surveyor wants to determine the width of a river is 43.34 m.

From given figure, angle ACB = angle ECD  (Vertically opposite angles are equal)

Angle BAC = Angle EDC = 90

So, triangle ABC and triangle ECD are similar.

AB/DE = AC/CD

AB/18.6 = 79.6/34.2

AB/18.6 = 2.33

AB = 2.33×18.6

AB = 43.34 m

Therefore, a surveyor wants to determine the width of a river is 43.34 m.

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What value of x would make 5 Superscript x Baseline equals 625 true? Enter the answer in the box

Answers

The value of x that makes [tex]5^x = 625[/tex] true is x = 4.

To determine the value of x in the equation [tex]5^x = 625[/tex], we need to find the exponent that results in 625 when applied to the base 5.

Since 625 can be expressed as 5 raised to the power of 4 ([tex]5^4 = 625[/tex]), the value of x that satisfies the equation is 4.

When we substitute x = 4 into the equation, we get [tex]5^4 = 625[/tex], which is true.

Therefore, x = 4 is the solution to the equation, indicating that 5 raised to the power of 4 equals 625.

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Find the value of x in the equation, 3^2x-1 = 81

Answers

Step-by-step explanation:

3^(2x-1)  = 81    LOG both sides      I had to assume there were parens.

(2x-1) LOG 3 = LOG 81

2x-1 = LOG(81) / (LOG 3) = 4

2x = 5

x = 2.5

which of the following angle pairs represent consultative interior angles please help​

Answers

The correct option is b, the pair of consecutive interior angles is 1 and 7.

Which of the following angle pairs represent consultative interior angles?

First, we can see that the interior angles are the angles that are "interior" to the intersections.

These are 1, 4, 6, and 7.

Because the two lines are parallel, the consecutive interior angles are angles that would be adjacent (add up to 180°) but that are in different intersections.

Then the consecutive interior angles are:

3 and 6

1 and 7

The correct option is b.

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thomas has a cube with the numbers 3,4,5,7,8 and 9 written on its faces. he rolls the cube twice and records the outcome. What is the probability that both numbers are greater than 5.

a) 1/9 b)1/4 c)1/5 d)1/16

Answers

Answer:

None of the options provided (a, b, c, d) matches the correct probability. The correct probability is 1/18.

Step-by-step explanation:

a rocket is launched in the air. Its height in feet is given by h=-16t^2+128t where t represents the time in seconds after launch. What is the appropriate domain for this solution?​

Answers

The quadratic function has the following domain: 0 ≤ t ≤ 8.

How to find the domain of a quadratic equation

Herein we find a quadratic equation that models the height of the rocket in time. The domain is the set of all values of t such that all values of h exist.

Mathematically speaking, the domain of quadratic equations is the set of all real numbers, but physically speaking, this domain is formed by the set of all non-negative numbers such that h ≥ 0. The domain is found by algebra properties:

h = - 16 · t² + 128 · t

h = - 16 · t · (t - 8)

Then, the domain of the quadratic function is: 0 ≤ t ≤ 8.

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(09.03 MC)
The daily temperature in the month of February in a certain country varies from a low of 28°F to a high of 50°F. The temperature reaches the
freezing point of 32°F when time (t) is 0 and completes a full cycle in 8 hours. What is the amplitude, period, and midline of a function that
would model this periodic phenomenon?
O a
Ob
Oc
Od
Amplitude 11°F; period - 8 hours; midline: y = 39
Amplitude 11°F; period=4 hours; midline: y = 11
Amplitude = 22°F; period - 8 hours; midline: y = 39
Amplitude = 22°F; period - 4 hours; midline: y = 11

Answers

Answer:

The correct answer is:

Amplitude = 11°F; period = 8 hours; midline: y = 39

Step-by-step explanation:

Answer: A

Step-by-step explanation: Amplitude 11°F; period - 8 hours; midline: y = 39

find the surface area​

Answers

The surface area of the triangular prism is 193.05 cm².

We have,

The figure is a triangular prism.

Now,

There are 4 triangular surfaces.

Each surface area is the same except the base surface.

So,

3 surface area.

= 3 x (1/2 x 9 x 11.3)

= 3 x 50.85

= 152.55 cm²

And,

Base surface area.

= 1/2 x 9 x 9

= 40.5 cm²

Now,

The surface area of the triangular prism.

= 152.55 + 40.5

= 193.05 cm²

Thus,

The surface area of the triangular prism is 193.05 cm².

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Test a claim on three locations ?

Answers

The slope constraint for the zip line is 6 to 8 feet of vertical change for every 100 feet of horizontal change.

How to explain the information

So, if the vertical change is 7 feet, the horizontal change must be between 7/6 and 7/8 of a hundred feet, or between 11.67 and 12.5 feet.

For Zip line A, the horizontal distance is 120 feet. So, the vertical change of 7 feet is within the slope constraint.

For Zip line B, the horizontal distance is 140 feet. So, the vertical change of 7 feet is within the slope constraint.

For Zip line C, the horizontal distance is 150 feet. So, the vertical change of 7 feet is within the slope constraint.

Therefore, LaTisha's claim is correct. The vertical change of 7 feet will satisfy the slope constraint for all three locations.

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What is the area of the rectangle above?
OA. 96 square units
OB. 20 square units
OC. 104 square units
OD. 40 square units

Answers

The area of the rectangle with a length of 12 units and a width of 8 units is 96 sqaure units.

How to determine the area of a rectangle?

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

The area of a rectangle is expressed as;

Area = length × breadth

From the image:

Length of the rectangle = 12 units

Breadth of the rectangle = 8 units

Area of the rectangle = ?

Plug the given values into the above formula and solve for the area:

Area = length × breadth

Area = 12 units × 8 units

Area = 96 sqaure units

Therefore, the measure of the area is 96 sqaure units.

Option A) 96 sqaure units is the correct answer.

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Will someone please answer this and show me how you got it

Answers

(a) Using Excel, the calculations are shown below:

Mean = 608.67

Median = 610.00

Mode = 610.00

Standard Deviation =  96.89

(b) The measure of central tendency would be appropriate are  the median and the mode.

How do we calculate?

The median is fitting  because it  is a representation of the middle value in the data set and is not affected by extreme values.

We can see that our  median rent is $610.00 and an appropriate representation of the typical rent paid by the students.

The mode is $610.00 and also an indication that this rent amount is the most common among the students.

In conclusion, a  measure of the variability or dispersion in the data set is provided by the standard deviation, which is determined to be 96.89. It demonstrates how widely the rents vary from the mean.

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Which statement is true? 3x-4y=4 or 3x-4y=8

Answers

Answer:3x-4y=8

Step-by-step explanation:

For what value of x is the rational expression below equal to zero?
x-9
(x-4)(x+4)
OA. -4
B.
C.-9
D. 9
SUBMIT

Answers

The value of x is 9

To find the value of x for which the rational expression is equal to zero, we need to set the numerator equal to zero:

x - 9 = 0

Solving for x:

x = 9

Therefore, the value of x = 9.

Looking at the denominator (x - 4)(x + 4), we see that it contains two factors: (x - 4) and (x + 4). For the entire expression to equal zero, either the numerator or one of the factors in the denominator must equal zero.

Setting each factor in the denominator equal to zero:

x - 4 = 0 or x + 4 = 0

x = 4 or x = -4

These are the valid values of x for which the rational expression is equal to zero.

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How mant times does 9 go into 18

Answers

Answer:

2 times, with a remainder of 0.

Step-by-step explanation:
If you had 2 friends and you had to divide 18 between both you would get 9. each with no left over

How many times does 9 go into 18? 2 times

The graph shows the number of weeks of practice (x) and the number of
shots missed in a free-throw drill (y). The equation of the trend line that best
fits the data is y = - + 6. Predict the number of missed shots after 10
weeks of practice.
A. 1
B. 2
C. 3
D. 4

Answers

The number of missed shots after 10 weeks of practice is 1

Predicting the number of missed shots after 10 weeks of practice.

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

The line of best fit

Also, we have the equation to be

y  = -1/2x + 6

At the 10th weeks, we have

x = 10

Substitute the known values in the above equation, so, we have the following representation

y  = -1/2 * 10 + 6

Evaluate

y = 1

Hence, the number of missed shots after 10 weeks of practice is 1

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Anna wants to determine the height of a right rectangular prism. The prism has a volume of 380 cm³ and a base whose area is 50 cm². She lets h represent the height of the prism.

What equation can she write to solve the problem?

Answers

The height of the right rectangular prism is 7.6 cm.

To determine the height of the right rectangular prism, we can use the formula for the volume of a prism:

Volume = Base Area * Height

Given that the volume is 380 cm³ and the base area is 50 cm², we can write the equation as:

380 = 50 * h

Now, let's solve for h by dividing both sides of the equation by 50:

h = 380 / 50

Simplifying the expression:

h = 7.6 cm

Therefore, the height of the right rectangular prism is 7.6 cm.

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What is the equation of a circle, if the end points of its
longest chord are (4, -3) and (-2,5)?

Answers

Answer:

The answer is D, the last one.

Calling card A charges a connect fee of 69¢ plus 1.9¢ perminute. Calling card B has no connect fee but charges 6¢ perminute.

Which system of equations can be used to determine the number of minutes (x) where the price (y) is the same for both cards?

Answers

Answer:

16.829 minutes

Step-by-step explanation:

To solve this problem, we need to set up a system of equations based on the given information. Let's define the variables:

Let x be the number of minutes.

Let y be the price in cents.

For calling card A, the price can be calculated using the formula: y = 69 + 1.9x

For calling card B, the price can be calculated using the formula: y = 6x

We want to find the number of minutes (x) where the price (y) is the same for both cards. To set up the system of equations, we equate the two expressions for y:

69 + 1.9x = 6x

Now, we can solve this equation to find the value of x, which represents the number of minutes where the prices are equal.

69 + 1.9x = 6x

To simplify the equation, we can subtract 1.9x from both sides:

69 = 6x - 1.9x

Combining like terms, we have:

69 = 4.1x

To isolate x, we divide both sides of the equation by 4.1:

69 / 4.1 = x

Simplifying the division gives us:

16.829 = x

Therefore, the number of minutes (x) where the price (y) is the same for both calling cards A and B is approximately 16.829 minutes.

Hope this helps!

Answer:

For calling card A: y = 0.019x + 0.69

For calling card B: y = 0.06x

Step-by-step explanation:

For calling card A: y = 0.019x + 0.69

For calling card B: y = 0.06x

Set the prices equal to each other to find when they are the same:

0.019x + 0.69 = 0.06x

Simplify and solve for x:

0.041x = 0.69

x = 16.83 (rounded to two decimal places)

Therefore, if a person expects to talk for 16.83 minutes or more, calling card A will be cheaper. If they expect to talk for less than 16.83 minutes, calling card B will be cheaper.

stuck on this question any help would be appreciated :)

Answers

The points that represent this data set are shown in the scatter plot attached below.

How to construct and plot the data in a scatter plot?

In this exercise, we would plot the number sold on the x-coordinates of a scatter plot while the prices ($) would be plotted on the y-coordinate of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot.

Based on the scatter plot shown below, which models the relationship between the number sold and the prices ($), a linear equation for the line of best fit is as follows:

y = 0.23x + 1.00

In conclusion, the slope of the line is 0.23 and the y-intercept is 1.00.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer: D = 100π square units

Step-by-step explanation:

The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle.

In this case, we have a circumference of 20π units, so we can set up the equation as follows:

20π = 2πr

To find the radius, we can divide both sides of the equation by 2π:

r = (20π) / (2π)

Simplifying further:

r = 10

Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2:

A = π * (10)^2

A = π * 100

A = 100π

Solve for x and graph the solution on the number line below.
V
V
VI
11 2x-5 or 2x-5 > 15
IV.
Inequality Notation:
Number Line:
or
-12 -10 -8 -6
-4
-2
O
2
4
6
8
10 12

Answers

x ≤ 8 or x > 10 is the solution of the inequality 11 ≥ 2x - 5 or 2x - 5 > 15.

To solve the compound inequality 11 ≥ 2x - 5 or 2x - 5 > 15, we will solve each inequality separately and then combine the solutions.

Solve the first inequality: 11 ≥ 2x - 5

Add 5 to both sides to isolate 2x:

11 + 5 ≥ 2x

16 ≥ 2x

Divide both sides by 2:

8 ≥ x

So the solution to the first inequality is x ≤ 8.

Solve the second inequality: 2x - 5 > 15

Add 5 to both sides to isolate 2x:

2x > 15 + 5

2x > 20

Divide both sides by 2:

x > 10

So the solution to the second inequality is x > 10.

Combining the solutions, we have x ≤ 8 or x > 10.

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find the surface area​

Answers

400Answer:

Step-by-step explanation:

What is the sum of the exterior angles in a regular 20-gon?

Answers

The sum of the exterior angles in a regular 20-gon is given as follows:

360º.

How to obtain the sum of the exterior angles?

An exterior angle of a polygon is defined as the angle between a side and its adjacent extended side.

The sum of exterior angles formula states the sum of all exterior angles in any polygon is 360°, no matter the number of sides.

For this problem, we have a 20-gon, that is a polygon of 20 sides, however, as the formula states, the sum of the exterior angles in a regular 20-gon is given as follows:

360º.

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287 megabytes downloaded if 14.4% complete how many are downloaded? Round to nearest tenth

Answers

Answer:

To find out how many megabytes have been downloaded, we can multiply 287 by 0.144 (which represents 14.4% as a decimal).

The calculation is:

287 x 0.144 = 41.328

Rounded to the nearest tenth, the number of megabytes downloaded is 41.3.

Select all of the words for which the probability of selecting the letter A at random is 13

Responses

CAB
CAB

ANT
ANT

BANK
BANK

ALPINE
ALPINE

ABOARD
ABOARD

ABRASIONS
ABRASIONS

BASEBOARDS

Answers

The words for which the probability of selecting the letter A at random is 1/3 are:

a) CAB

b) ANT

c) ABOARD

Given data ,

Let the probability of selecting the letter A at random be P ( A ) = 1/3

Now , the number of letters in the words CAB are = 3

The number of A's in the word CAB = 1

So , the probability is P ( A ) = 1/3

Now , Now , the number of letters in the words ANT are = 3

The number of A's in the word ANT = 1

So , the probability is P ( A ) = 1/3

And , Now , the number of letters in the words ABROAD are = 6

The number of A's in the word ABROAD = 2

So , the probability is P ( A ) = 2/6 = 1/3

Hence , the probability is solved

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which of the following is not an advantage of erp? group of answer choices improved control of operations uses single database reduce supply chain inventories why does body temperature rise during malignant hyperthermia your patient is a severe gagger. which film survey would you recommend to evaluate the third molars? Find the area please answer asap need help buck and the other dogs are sold in this section mainly because . a they are getting too old to pull heavy sleds b they are exhausted from overwork and are considered worthless c they are considered too wild and misbehaved to do mail runs d they are worth a lot of money and perrault receives a great offer Supppose that you are planning to start a breakfast caf. You decide to first do a simulation study of the business to bettter understand the stochastic nature of the bussiness. During the simmulation, you model & study some variables such as 1/ , and . If 1/ is the mean service time, then, would be:A. Mean service rate (The average number of caf guests served per hour)B. Mean inter-arrival timeC. Mean arrival timeD. Mean time in the queue 1) Distribution networks comprise multiple combinations of transportation, facilities, and inventory configurations. The different configurations can have major implications on the business strategies of firms. That is why firms usually manage multiple distribution networks at the same time. How does the distribution strategy/plan of Jumia affects its distribution network configurations? (feel free to draw a diagram and develop your own score card for evaluation). Discuss in detail how Jumia manages its distribution cost tradeoffs, and how it justifies the costs with higher customer responsiveness rates?2) The role of Information Technology in online marketplaces is integral. Discuss the role of IT in Jumia operational applications throughout their history. In a math class with 19students , a test was given the same day that an assignment was due.There were 10 students who passed the test and 14stdents who completed the assignments You are caring for a patient with a continuous basal rate PCA Infusion when the patient becomes difficult to awaken what should you do first Find the area of a trapezoid with bases of 16 feet and 10 feet and a height of 3 feet. 39 ft2 78 ft2 240 ft2 480 ft2 ___________ is a term used to describe archaeological interpretations that are on the fringe of the discipline, but that contain beliefs that are not malicious or specifically for profit. an example of this is the modern druid interpretation of stonehenge. why did captain nemo say he loves the sea? Monochromatic light of wavelength = 620 nm from a distant source passes through a slit 0.450 mm wide. The diffraction pattern is observed on a screen 3.00 m from the slit. a) In terms of the intensity Io at the peak of the central maximum, what is the intensity of the light at the screen at the distance 1.00 mm from the center of the central maximum? b) In terms of the intensity Io at the peak of the central maximum, what is the intensity of the light at the screen at the distance 3.00 mm from the center of the central maximum? c) In terms of the intensity Io at the peak of the central maximum, what is the intensity of the light at the screen at the distance 5.00 mm from the center of the central maximum? Q-2. Determine the values of x for which the function S(x) =sin Xcan be replaced by the Taylor 3 polynomial $(x) =sin x-x-if the error cannot exceed 0.006. Round your answer to four decimal places. use the diagram to answer the question. if electrons flow from the right half-cell to the left one through the wire, which statement is true? responses reduction occurs at the right strip. reduction occurs at the right strip. both oxidation and reduction occur at both strips. both oxidation and reduction occur at both strips. oxidation occurs at the left strip. oxidation occurs at the left strip. oxidation occurs at the right strip. En 2009, 436 racteurs nuclaires taient en exploitation dans le monde.de ces racteurs dataient de 20 ans et 25 % dataient d'au moins 30 ans.tats-Unis, 80 % des racteurs existants ont fait l'objet d'une prolongation d'utilisationou d'une remise en tat de fonctionner. Nomme deux risques associs cette situation. which type of webbing is commonly used for rescue applications Suppose that the Duration of Assets (DA) is 5 years and the duration of liabilities (DL) is 3 years. The current market value of assets is 100 million pounds and the market value of liabilities is 80 million pounds. What would be the effect (loss or gain) on the market value of equity (dE) if interest rates increase from 5% p.a. to 7% p.a. ? explain why it is difficult to estimate precisely the partial effect of x1, holding x2 constant, if x1 and x2 are highly correlated. Please show all the steps you took. thanks!seca, 1. Find the volume of the solid obtained by rotating the region bounded by y = =0, = and y=0 about the x-axis. 4