$135 used to be divided among three restaurant servers Angie made $20 more than marie. gwen who went home sick made $26 less than Marie how much money should each server get?

Answers

Answer 1

EXPLANATION

Let's see the facts:

Total amount = $135

(1) Angie = 20 + Marie

(2) Gwen = 26 - Marie

Let's call x to the amount of money that Angie get, the system of equations would be:

Angie= x

Marie = x - 20

Gwen = (x-20) - 26 = x - 46

Adding all the equations as follows:

x + x- 20 + x - 46 = 135 [Adding like terms]

3x -66 = 135 [Adding 66 to both sides]

3x = 135 + 66 [Adding numbers]

3x = 201 [Dividing both sides by 3]

x = 201/3 [Simplifying]

x= 67

Answers:

Angie = $67

Marie = 67 - 20 = $47

Gwen = 67 - 46 = $21


Related Questions

The temperature outside changed from 66°F to 42°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?

Answers

Now I don’t know if this is right but I’m pretty sure it’s just 24 with simple subtraction

In the New York marathon there were 45 360 runners. 7 /10 of the runners were women. How many of the runners were men? ​

Answers

Answer:

13,608

Step-by-step explanation:

If 7/10 of the runners were women, than 3/10 of the runners were men. 3/10 of 45,360 runners is 13,608.

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a ramp has a slope of 1, what is the relationship between the rise and ?

Answers

Answer:

the rise over run. if a ramp has a slope of 1 the rise over one is most likely 1/1

Step-by-step explanation:

Use the information given to enter an equation in standard form.
Slope is 0, and (4, 6) is on the line.

Answers

Answer:

impossible or y= 0x + 2

Step-by-step explanation:

since the slope is 0, the line is horizontal

the equation is: y=6

Pls help as soon as possible thank you

Pls help as soon as possible thank you

Answers

Answer:

The domain corresponds to the values of the x and the range to the values of the y. So:

D: {-3, 0, 3}

R: {-6, 0, 6}

Answer:

\(\huge\boxed{A.}\)

Step-by-step explanation:

Domain:

"Set of values on x-axis"

Domain = {-3,0,3}

Range:

"Set of values on y-axis"

Range = {-6,0,6}

\(\rule[225]{225}{2}\)

Hope this helped!

~AH1807

There are 90 kids in the band. 20% of the kids own their instruments, and the rest rent them. What percentage of kids either rent or own and instrument

Answers

Answer:

im conufesed

Step-by-step explanation:

Answer:

18 kids own their own instruments

72 kids rent instruments

80%rent 20%own

Step-by-step explanation:

Work out the perimeter of the shaded shape. 7m 4m 1m 4m 14m​

Work out the perimeter of the shaded shape. 7m 4m 1m 4m 14m

Answers

The parameter of the shaded shape is 50 meters

The parameter of any shape is sum of all sides

Measurements of some of the sides are given and some needs to be find out so the calculations are -

first side = 7m

second side = 14m

third side is equal to first side so= 7m,

fourth side = 1m

fifth side is equal to seventh side =4m

sixth side is second side- fourth side- eighth side = 14- 1-4= 9m

seventh side=4m

eighth side =4m

parameter of the shape = sum of all side = 7+ 14+ 7+ 1+4+9+4+4

                                     =50 m

So, the parameter of the shaded shape is 50 meters

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Which statement about both quadrilaterals is true?

Which statement about both quadrilaterals is true?

Answers

Answer:

the second statement: The corresponding angles of quadrilaterals ABCD and A'B'C'D' are congruent.

One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive

Answers

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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What is the measure of this angle?

60
80
120
125

What is the measure of this angle?6080120125

Answers

Answer:

60

Step-by-step explanation:

180 - 120 = 60

SOLVE FAST I NEED HELP PLEASE FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

SOLVE FAST I NEED HELP PLEASE FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

36

Step-by-step explanation:

27/3=9

9*4=36

the answer to the problem is 36

513.4497 rounded to the hundredths place

Answers

Answer:

513.45

Step-by-step explanation:

use intelligence

The answer is 513.45

Select the correct answer.
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y = x^2-9x

Answers

Answer:

As the given equation represents a quadratic function.

Thus, \(y\:=\:x^2-9x\) represents a function.

As we know that the function is just a relation in which each input has only one output.

Thus, \(y\:=\:x^2-9x\) represents a relation and function.

Step-by-step explanation:

Given the equation

\(y\:=\:x^2-9x\)

As the given equation represents a quadratic function.

Thus, \(y\:=\:x^2-9x\) represents a function.

As we know that the function is just a relation in which each input has only one output.

Thus, \(y\:=\:x^2-9x\) represents a relation and function.

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

\(\mathrm{Domain\:of\:}\:x^2-9x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

\(\mathrm{Range\:of\:}x^2-9x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-\frac{81}{4}\:\\ \:\mathrm{Interval\:Notation:}&\:[-\frac{81}{4},\:\infty \:)\end{bmatrix}\)

The graph is also attached below. From the graph, it is clear that it represents a Parabola.

Select the correct answer.Does the equation below represent a relation, a function, both a relation and

ABCD is a rectangle. AB = 2x + y, BC = x + 2,
DC = x + 12, and AD = y + 6. Find AB.
=

Answers

Answer:

See attached image

Step-by-step explanation:

See attached image

ABCD is a rectangle. AB = 2x + y, BC = x + 2,DC = x + 12, and AD = y + 6. Find AB.=

how many square yards of carpet are needed to completely cover a rectangular floor that measures 15 feet by 9 feet?​

Answers

Answer:

0.6

Step-by-step explanation:

Which number is equivalent to 7/11

?

Answers

The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

There are infinitely many numbers equivalent to 7/11

since 7/11 is a fraction that can be simplified in different ways.

We can multiply the numerator and denominator with the same number to get the equivalent fractions

7/11×2/2 = 14/22

7/11×3/3= 21/33

7/11×4/4 =28/44

7/11×5/5 =35/55

Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

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do all 4 pls it is easy

do all 4 pls it is easy

Answers

Answer:

1. -2y

2.13x

3. 8d-3c

4. 8r+(-6s)

Step-by-step explanation:

I’LL GIVE BRAINLIEST, A HEART, AND 5 STARS TO WHOEVER ANSWERS FIRST
(Please answer ALL questions and show how you got the answer!)

ILL GIVE BRAINLIEST, A HEART, AND 5 STARS TO WHOEVER ANSWERS FIRST(Please answer ALL questions and show

Answers

Group B has lower range.

Group A shows variability.

Mean is the best to make concussion about age of Salsa students.

Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.

This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.

In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.

So, Group B has lower range.

and, Group A shows variability.

Lastly, Mean is the best to make concussion about age of Salsa students.

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1. On a bookshelf containing 17 novels, 5 of them were written by Stephen King. If Sheri selects one at random, find the probability that she does not choose a Stephen King novel. Give your answer as a reduced fraction.

2. In a company there are 11 executives: six women and five men. Four are selected to attend a management seminar. Find the probability that one woman and three men are selected. Give your answer as a reduced fraction.

Answers

The probability that she does not choose a Stephen king novel is 12/17.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

Given,

1) total books no shelf = 17

Novel of Stephen king = 5

The probability of stephen king = 5/17

The probability of not choosing Stephen novel = 1-5/17

= (17-5)/17

=12/17

2) total number of executives = 11

Number of men = 5

Number of women = 6

probability of a man = 5/11

Probability of a woman = 6/11

Given, one woman and 3 men are selected

therefore, using combination.

Total combinations = n! / (r! x (n - r)!)

n = 4

r = 3

Therefore, probability = n! / (r! x (n - r)!)\((5/11)^{1} (6/11)^{3}\)

=4!/3!(1!)(5/11)^{1} (6/11)^{3}

=4(5/11)(216/1331)

=4320/14641

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Over the past 36 months, Lois
has slowly lost 144 pounds.
Her weight dropped from 284
pounds down to 140 pounds.
During this time, what has
been Lois's average weight loss per month?

Answers

Answer:

4 lb/month

Step-by-step explanation:

loss of 144 lb in 36 months

144/36 = 4

Answer: 4 lb/month

vertex, domain and range, and zeros in this parabola, could you tell me them?

vertex, domain and range, and zeros in this parabola, could you tell me them?

Answers

The vertex, domain, range and zeros of the parabola are  -2, (-∞, +∞), (-2,+∞) and -0.5 and 2.5 respectively.

What is parabola ?

Parabola is a curve like shape, in which any point is equal distance from a fix point.

The vertex of the parabola in the given graph is -2.

The domain of parabola is all the possible values of x,

in the given graph, the value of x is from -∞ to +∞

So the domain of parabola is (-∞, +∞)

The range of parabolas is all the values of y corresponding to values of x,

in the graph, the value of y≥-2

The range of parabola is (-2,+∞)

Zeros are values on the x-axis, which are 0.

So there are two zeros, -0.5 and 2.5.

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A real estate agent would like to develop a model for predicting sale price of homes in a suburban area. One variable that can be useful for predicting home value is home interior size, which is measured in square feet. Using 13 homes sold recently in the area, the real estate agent uses software to find a least-square line to summarize the relationship. The resulting equation is sale price hat = 0.152 (size) minus 32.84. A graph titled home price versus home size (square feet) has home size (Square feet) on the x-axis, and home price (thousands of dollars) on the y-axis. Points increase in a line with positive slope. A graph titled residuals versus home size (square feet) has home size (square feet) on the x-axis, and residual on the y-axis. Points are scattered throughout the graph. Based on the scatterplot and residual plot shown, is a linear model appropriate for summarizing the relationship? A linear model is appropriate because the residual plot shows no pattern. A linear model is appropriate because the mean of the residuals appears close to zero. A linear model is not appropriate because there are potential outliers in the residual plot. A linear model is not appropriate because of the random scatter of points in the residual plot.

Answers

Based on the information provided, a linear model is not appropriate for summarizing the relationship between home size and sale price because of the random scatter of points in the residual plot. In a linear model, the residuals should be randomly distributed around a mean of zero, without any discernible pattern. However, the residual plot shown in the question indicates that the residuals are randomly scattered throughout the graph, which suggests that a linear model may not be the best way to summarize the relationship between the variables. Therefore, a linear model is not appropriate for this data.

Answer:

Not Appropriate

Step-by-step explanation:

Based on the information provided in the problem, it appears that a linear model is not appropriate for summarizing the relationship between home size and sale price. This is because the residual plot shows a random scatter of points, which suggests that there is not a strong linear relationship between these variables. Furthermore, the scatterplot of home price versus home size shows a line with a positive slope, which indicates that there is some relationship between these variables, but it is not necessarily a linear relationship. In this situation, it would be more appropriate to use a non-linear model to summarize the relationship between home size and sale price.

Now let's look at the data from all the Buffalo. If we calculate the 60% confidence interval for every buffalo's count (i.e. data sample), how many Cls do we expect to contain the true mean? Store your answer in theoretical_hits. Then we need to check our theoretical answer with our actual data. Calculate the 60% confidence interval for each buffalo's count. Then commpute how many of those Cls contain the true mean. Assume that the true mean is 25,000. Store this value in sample_hits . Does this value match the theoretical value? It may be helpful to visualize the Confidence Intervals, along with the true mean. Create a plot for the Confidence intervals for the first 40 rows of the dataframe. Also plot true_mean=25000 as a horizontal dotted line. This plot will not be graded, but may help you get a better understanding of different confidence intervals for the same underlying population. We recommend looking into the ggplot package to help with this task.

Answers

15000 Cls should we expect to include the true mean if we compute the 60% confidence interval for each buffalo count (i.e., data sample).

Given that,

We have to calculate let's now examine the Buffalo's collective data. How many Cls should we expect to include the true mean if we compute the 60% confidence interval for each buffalo count (i.e., data sample).

We know that,

Theoretical hits= confidence interval × total no. of buffaloes

= 0.6×(buffaloes)

Sample hits = count among total no. of buffaloes, from which how many of inside 25000, that will be sample hits.

So,

=0.6×25000

=15000

Therefore, 15000 Cls should we expect to include the true mean if we compute the 60% confidence interval for each buffalo count (i.e., data sample).

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FInd the measure of the arc using the picture provided , please and thanks

FInd the measure of the arc using the picture provided , please and thanks

Answers

The measure of arc angle QTP is 204 degrees.

How to find arc angle?

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Y=2X squared -12 X +20 for quadratic formula

Answers

x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

What is the quadratic formula?

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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Select all expressions that are equal to 3⋅3⋅3⋅3⋅3.
3^5
3^4 ⋅ 3
5 ⋅ 3
5^3

Answers

\(\huge\text{Hey there!}\)

\(\mathsf{3\times3\times3\times3\times3}\\\\\mathsf{3\times3=\bf9}\\\\\mathsf{9\times9\times3}\\\\\mathsf{9\times9=\bf81}\\\\\mathsf{81\times3=\bf result}\\\\\mathsf{= \bf \underline{243}}\large\checkmark\)

\(\text{Option A. }\downarrow\\\mathsf{3^5}\\\\\mathsf{3^5= 3\times3\times3\times3\times3}\\\\\mathsf{3\times3\times3\times3\times3}\\\\\mathsf{3\times3 = 9}\\\\\mathsf{9\times9\times3}\\\\\mathsf{9\times9 = 81}\\\\\mathsf{81\times3= 243}\\\\\large\text{\bold{Option A.} could possibly be your \bf ANSWER}\huge\checkmark\)

\(\text{Option B. }\downarrow\\\mathsf{3^4\times5}\\\mathsf{3^4 = 3\times3\times3\times3}\\\\\mathsf{3\times3\times3\times3}\\\\\mathsf{3\times3=9}\\\\\mathsf{9\times9= 81}\\\\\mathsf{81\times3=243}\\\\\large\text{Option B. could possibly be your \bf ANSWER}\huge\checkmark\)

\(\text{Option C. }\downarrow\\\mathsf{3\times5}\\\\\maths{3+3+3+3+3}\\\\\mathsf{3+3=6}\\\\\mathsf{6+6+3}\\\\\mathsf{6+6=12}\\\\\mathsf{12+3=15}\\\\\mathsf{15\neq243}\\\\\large\text{Option C is NOT your ANSWER}\)

\(\text{Option D.}\downarrow\\\mathsf{5^3}\\\\\mathsf{5^3=5\times5\times5}\\\\\mathsf{5\times5\times5}\\\\\mathsf{5\times5=25}\\\\\mathsf{25\times5 = 125}\\\\\mathsf{125\neq243}\\\\\large\text{Option D. is NOT your ANSWER}\)

\(\boxed{\boxed{\large\text{Answers: \boxed{\boxed{\mathsf{\bf{Option\ A.)\ 3^5 \ \& \ Option\ B.)\ 3^4 \times 3}}}}}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

A) 3^5 B) 3^4*3

Step-by-step explanation:

wants to tile the surface of a rectangular storage case that is inches​ long, inches​ wide, and inches tall. If he uses all green​ tiles, how many tiles will he​ need?

Answers

The surface area of the rectangular prism is 396 square inches

He will need 504 tlles

What is the surface area of the rectangular prism?

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

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

The number of tiles is 7 * 12 * 6 = 504

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Question

wants to tile the surface of a rectangular storage case that is 7 inches​ long, 12 inches​ wide, and 6 inches tall. If he uses all green​ tiles, how many tiles will he​ need?

Integral of 1/(x+cosx)

Answers

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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Determine each feature of the graph of the given function.
2x + 8
f(x) =
x² + x
x - 12

Answers

\(x=\frac{1+4f-\sqrt{16f^{2}+8f+25 } }{2}\)

describe the relationship between the graphs of f and g. Consider amplitude, period, and shifts. f(x) = sin x , g(x) = sin 3x

Answers

Both graphs have the same amplitude of 1, but the period of g(x) is shorter than the period of f(x).

The amplitude of a sine function is defined as the maximum value of the function, minus the minimum value.

The relationship between the graphs of f(x) = sin x and g(x) = sin 3x is an interesting one that you can observe when you plot these two graphs on the same set of axes.

Amplitude:

For the graph of f(x) = sin x, the amplitude is 1. The graph of g(x) = sin 3x also has an amplitude of 1. This means that both graphs oscillate between -1 and 1.

Period:

For the graph of f(x), the period is 2π, which means that the graph repeats every 2π units on the x-axis. For the graph of g(x), the period is 2π/3, meaning the graph repeats every 2π/3 units on the x-axis.

Shifts:

For the graph of f(x), there can be shifts in both the x- and y-axis. For the graph of g(x), there can also be shifts in both the x- and y-axis.

When the graph of g(x) is shifted to the right, the graph of f(x) will be shifted to the left by the same amount.

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describe the relationship between the graphs of f and g. Consider amplitude, period, and shifts. f(x)
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