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Sara and 3 of her friends went to lunch one day. Each person paid for her own lunch, but they agreed to split the tip. If the tip amount was 15% of the total, and the 4 lunches totaled $60, what was the portion of each person’s tip amount?

Answers

Answer 1

Answer:

Step-by-step equation:

15% of 60 is nine.

Answer 2

Percentage is equivalent to the portion of a quantity present in the whole. The portion of each person’s tip amount shared by Sara and 3 of her friends is $2.65.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

To convert percentage into a fraction it is divided by 100.

Given that,

The amount of tip is 15% of the total amount A.

The total amount of 4 lunches = $60.

As per the question, the total amount can be written as,

15% of A = A - 60

=> 15 / 100 × A = A - 60  

=> A - (3 / 20) × A = 60

=> A - (3 / 20) × A = 60

=> (17 / 20) × A = 60

=> A = (60 × 20) / 17

=> A = 70.58

Now, the total amount of tip is,

15% of 70.58

(15 / 100) × 70.58 = 10.58

The tip shared by each friend = 10.58 ÷ 4

                                                 = 2.65

Hence, the portion of each person’s tip amount is $2.65.

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Related Questions

What is the 5 exponential form?

Answers

Answer:

5^2 would be 5*5 =25 so 5^2 is 25

Step-by-step explanation:

Jim scores 8 more points than
Kevin in the basketball game. If
altogether they scored 22 points
how many points did Jim score?


There are 2 boats for
every 5 cars. If altogether
there are 56 boats and
cars, how many cars are
there?

Please answer both.

Answers

The number of points Jim scored is 15 points.

The number of cars given the ratio of car to boat is 140 cars

How to solve algebraic expression?

Number of points Kevin has = xNumber of points Jim has = 8 + xTotal points = 22

Total points = Number of points Kevin has + Number of points Jim has

22 = x + (8 + x)

22 = x + 8 + x

22 = 2x + 8

22 - 8 = 2x

14 = 2x

divide both sides 2

x = 14/2

x = 7

Number of points Jim has = 8 + x

= 8 + 7

= 15 points

Part B:

Boat : car

2 : 5 = 56 : x

2/5 = 56/x

cross product

2 × x = 56 × 5

2x = 280

divide both sides by 2

x = 280/2

x = 140

Therefore, the number of points Jim scored is 15 points and the number of cars is 140

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What are the rules of square roots?

Answers

The result is commonly known as just a square number, a complete square root, or simply "a square" when such an integer (a "whole" number), either positive, negative, or zero, is multiplied on its own. So now all square integers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

What is square roots?

It is possible to multiply an integer by its square root in order to obtain the original value. Square root of, end square root is the symbol for this mathematical concept. Contrary to squaring, finding a number's square root is the reverse.

For instance, 3 is squared at 9, 32, and its square root at 9, which is 9, is equal to 3. It is simple to multiply by 9 since it is a perfect square.

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Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x)=√x+4?

a)horizontal shift of 4 units right
b)horizontal shift of 4 units left
c)vertical shift of 4 units up
d)vertical shift of 4 units down

Answers

The graph of f(x)=√x could be transformed to form the graph of g(x)=√x+4 c) vertical shift of 4 units up.

What is Graph Transformation?

When functions are changed, the graph's representational curve "moves to the left/right/up/down," "expands or compresses," or "reflects."

A vertical movement of 4 units up is the explanation for how the graph of f(x)=x might be changed to become the graph of g(x)=x+4.

What are a function's 4 transformations?

Translations, reflections, and dilations are the three different forms of transformations. A function can be transformed in one of two ways: vertically (affecting the y-values) or horizontally (affects the x-values). The function's equation, which includes the four transformation variables, is shown below (a, b, h, and k).

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Find the lines slope and a point on the line.
y+5=-3/4(x-1)

Answers

Answer:

The slope is [tex]-\frac{3}{4}[/tex], and the y-intercept is[tex]-\frac{17}{4}[/tex].

Step-by-step explanation:

[tex]y=-\frac{3}{4}x-\frac{17}{4}[/tex] is the slope-intercept form

Are they all true or some of them are false

Answers

Answer:

option a is correct

Step-by-step explanation:

18 is the multiple of 3

so the first option is correct as 3 is multiplied with 6 to give 18

so the first number is multiple of second number

Mathsssssssssss s ssssssss

Answers

Answer:

Property

Step-by-step explanation:

thermal expansion goes to zero at T approaches zero. By definition, the volume coefficient of thermal expansion is: beta

Answers

Yes, the coefficient of thermal expansion goes to zero at T approaches zero.The coefficient of thermal expansion is defined as the fractional change in volume per unit change in temperature.

The coefficient of thermal expansion is defined as the fractional change in volume per unit change in temperature. It is calculated by taking the derivative of volume with respect to temperature. Mathematically, it is expressed as β = (1/V) (dV/dT). As the temperature approaches zero, the change in volume (dV) will also approach zero, and thus the coefficient of thermal expansion (β) will approach zero as well.

The complete question : thermal expansion goes to zero at T approaches zero. By definition, the volume coefficient of thermal expansion is: beta = (1/V) (dV/dT). So, as T approaches zero, (dV/dT) approaches zero, and thus beta approaches zero.

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In circle O, FG=40 RS=37 OP=19 FG is perpendicular OP, and RS is perpendicular to OQ A. 27.2 B. 18.5 C. 19 D. 20.5

Answers

Answer: In order to solve this problem, you should use the Pythagorean theorem. Since FG is perpendicular to OP, and OP and OQ are radii of the same circle, then triangle OFG is a right triangle. Similarly, triangle ORS is also a right triangle. By using the Pythagorean theorem, you can find that:

OF = sqrt(OP^2 + FG^2) = sqrt(19^2 + 40^2) = sqrt(361 + 1600) = sqrt(1961)

and

OS = sqrt(OQ^2 + RS^2) = sqrt(19^2 + 37^2) = sqrt(361 + 1369) = sqrt(1740)

Therefore, the length of the segment connecting the feet of the altitudes is:

OF + OS = sqrt(1961) + sqrt(1740) = 27.2

So the answer is A. 27.2

Step-by-step explanation:

Find the 12th term -7, -3, 1,

Answers

Answer:

[tex] \sf \: 12th \: term = 37[/tex]

Step-by-step explanation:

Common difference (d) is,

→ d = a2 - a1

→ d = -3 - (-7)

→ d = -3 + 7

→ [ d = 4 ]

Now the 12th term will be,

→ a1 + (d × (n - 1))

→ -7 + (4 × (12 - 1))

→ -7 + (4 × 11)

→ -7 + 44

→ 37 => 12th term

Hence, the answer is 37.

the function f(x)=a(1/2)^x is graphed below for a=4. Describe how the graph would change for a>4 and 1

Answers

The curve of the graph would move closer to the y-axis for a > 4

How to describe the graph?

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

f(x) = a(1/2)^x

Such that

a = 4

The graph of the function is added as an attachment

From the given parameters, we can see that the value of a is positive

This implies that an increment in the value of a would make the curve move closer to the y-axis

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Determine whether the decimal point is in the correct place in each quotient below.
Choose Yes or No for each quotient.
26.23+4.3=0.61 Choose...
103.36÷3.8=27.2 Choose...
43.29 +0.45 = 9.62 Choose...
198.74 +0.95= 209.2 Choose...
47

Answers

The quotients that have their decimal points in the correct place are the second and last quotients

26.23 ÷ 4.3 = 0.61          No

103.36 ÷ 3.8 = 27.2        Yes

43.29 ÷ 0.45 = 9.62      No

198.74 ÷ 0.95 = 209.2    Yes

Determining whether decimal point is in the correct place

From the question, we ae to determine if the decimal point in each of the given quotients is in the correct place

To do this, we will evaluate each of the operations

26.23 ÷ 4.3 = 0.61

Check

26.23 ÷ 4.3 = 6.1

Therefore, the decimal point is not in the correct place

103.36 ÷ 3.8 = 27.2

Check

103.36 ÷ 3.8 = 27.2

Therefore, the decimal point is in the correct place

43.29 ÷ 0.45 = 9.62

Check

43.29 ÷ 0.45 = 96.2

Therefore, the decimal point is not in the correct place

198.74 ÷ 0.95 = 209.2

Check

198.74 ÷ 0.95 = 209.2

Therefore, the decimal point is in the correct place

Hence,

26.23 ÷ 4.3 = 0.61          No

103.36 ÷ 3.8 = 27.2        Yes

43.29 ÷ 0.45 = 9.62      No

198.74 ÷ 0.95 = 209.2    Yes

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A point at (-4, 7) is rotated -90° about the origin. What are the new coordinates for the point?

Answers

The coordinates of the point after the transformation is (-7, -4)

How to determine the new coordinates

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

(x, y) = (-4, 7)

Transformation involves changing the location and/or the size of a shape in a coordinate plane

A point rotating -90° about the origin will have its x-coordinate become its y-coordinate and its y-coordinate become its negative x-coordinate.

Hence, the point (-4, 7) will become (-7, -4) after rotating -90° about the origin.

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Find the straight line distance between (-1,5) and (0,-3)

Answers

Answer:

5.099

Step-by-step explanation:

trust me

5.099 is the answer....

BRAINLIEST.... ASAP Please help 5&6

Answers

Answer:
they are both scalene triangles

Explanation:
I added the given lengths of each triangle and then subtracted the sum from the perimeter

so for example;
18.2 + 13 = 31.2
50.7 - 31.2 = 19.5

18.2, 13, 19.5 are not equal

none of the sides of the triangle are equal therefore making the triangle a scalene triangle.

a scalene triangle is when no sides of a triangle are equal. an isosceles triangle is when two sides are equal and one is a different length. and an equilateral triangle is when all sides of the triangles are equal.

i used the same formula for the second problem. 11.2 + 12 = 23.3 then 31.2 - 23.2 = 8

11.2, 12, and 8 are not equal

Determine whether the following statement is true or false. Explain.Inferences based on voluntary response samples are generally not reliable.A. ​False, because individuals who volunteer are least likely to have personal bias.B. ​True, because it is often the case that the individuals who volunteer do not accurately represent the population.C. ​True, because the group that volunteers may not be a large enough sample size.D. ​False, because a surveyor cannot force volunteers to respond.

Answers

The concept given is Sampling, which selects the group that you will actually collect data from in your research. The answer is option B, ​True; because it is often the case that the individuals who volunteer do not accurately represent the population.

Sampling is the selection of a subset of individualities from within a statistical population to estimate the characteristics of the whole population. Statisticians essay to collect samples that are representative of the population in question.

Frequently, voluntary response samples oversample people who have strong opinions and under-sample people who do not watch important about the content of the check. Therefore consequences from a voluntary response sample aren't as secure as conclusions grounded on an arbitrary sample of the entire population under consideration.

Volunteer slice doesn't induce a representative sample, so, thus, would not be the favored choice of experimenters who were keen to be suitable to generalize their data to the whole population.

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What is ordered pair and unordered pair?

Answers

If the elements in the pairs are related to each other then the pair is called as Ordered Pair an if the elements in the pair are not related then the pair is called as Unordered Pair .

The Ordered Pair is defined as a pair of elements having specific importance for order of their placements.  

Also, the ordered pairs are used to represent elements that have a relation between them .

The Ordered pairs are usually used  to represent a point on a coordinate plane.

The Unordered Pair is a set of the form (a,b) that have two elements "a and b" that have no particular relation between them,

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Identify the domain of the function [-4,0). (-3, 1]. (-4, 0]. [-3, 1)

Answers

On solving the provided question, we can say that from the provided graphs, we have Domain = [(-4, 0) to  (-3, 1)]

What is graphs?

Mathematicians  use the graphs to logically convey facts or values using the visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

from the provided graphs, we have  

domain of the function

Domain = [(-4, 0) to  (-3, 1)]

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Find the Equation of the line that goes through (2,7) and (-1.1)

*Graphically and Algebraically

Answers

Answer:

y=2x+3

Step-by-step explanation:

See attached worksheet.

Guidelines are presented on how to both graphically and mathematically solve for the equation.  

Graphing:  Mark the the two given points and connect them with a ruler to form the line.  These same two points may be used to determine the slope, as is shown.  The slope is 2.  The line intersects the y axis at 3, so the y-intercept is 3.  Using the standard form of an equation, the line is y = 2x + 3, as is outlined in the attachment.

The same line is determined mathematically by using the same technique for calculating slope.  The value of the y-intercept may be found by using one of the two given points in the equation that has the slope of 2:

  y= 2x +b

Enter pont (-1,1), for example, and calculate the value of b. b = 3, (since 1 = 2*(-1)+ b, so b=3).

The equation of this line is y=2x+3

What is the 100th prime number?

Answers

The 100th prime number is 541.

Therefore the answer is 541.

Prime numbers are numbers that are divisible by only 1 and themselves. They are considered to be the "building blocks" of the natural numbers, and are important in number theory and other branches of mathematics.

Prime numbers are fundamental for number theory and have a lot of applications in cryptography, coding theory, and other areas of mathematics.

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. The primes continue indefinitely, with no repeating pattern or predictable distribution. Finding the nth prime number is not an easy task, it requires knowledge of number theory and a lot of computational power.

In general, the nth prime number grows faster than any polynomial in n. The 100th prime number is larger than the 100th Fibonacci number (which is about 354) and smaller than the 100th triangular number (which is about 5050).

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What is the area of triangle if sides are 9cm 12cm and 15cm *?

Answers

The area of the triangle is 54 square cm.

To find the area of a triangle, we can use Heron's Formula, which states that the area of a triangle is equal to the √ (s * (s-a) * (s-b) * (s-c)), where s is the semi-perimeter of the triangle and a, b, and c are the sides of the triangle.

Step 1: Find the semi-perimeter of the triangle. s = (9 + 12 + 15) / 2 = 21 / 2 = 10.5

Step 2: Substitute the semi-perimeter and the sides of the triangle into Heron's Formula.

Area =  √(10.5 × (10.5 - 9) × (10.5 - 12) × (10.5 - 15))

Step 3: Simplify the equation.

Area = √ (10.5 × 1.5 × -1.5 × -4.5)

Step 4: Perform the square root.

Area = √ -94.5 = 54 square cm.

Area = 54 square cm.

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2x2+3x+4
how many terms

Answers

Answer:

2

Step-by-step explanation:

There is x and no variable

Find the real solutions of the equations 7x to the fourth =56. Round your answers to two decimal places. Explain.

Answers

The equation 7x^4 = 56 can be rewritten as x^4 = 8. To find the real solutions of the equation, we take the fourth root of both sides:

What does a math equation mean?

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

x = ∛8 = 2.

So the real solutions of the equation are x = 2.

Note: since the fourth root of 8 is 2, we can check that the equation holds true. i.e 7*2^4 = 56

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William just measured himself and found out he is 61 inches tall. The last time he measured, he was 50 inches tall. What percent taller is William now? %

Answers

Answer:

18.03

Step-by-step explanation:

Its pretty easy actually,

50x100 When we put 50 correct out of 61 possible into our formula, we get this: (50/61) x 100 = 81.97%

so , 100-81.97 = 18.03

Cecilia types at a speed of 38 words per minute. Which graph correctly represents the total words Cecilia types over a 4 minute period? ​

Answers

The total words Cecilia types over a 4 minute period is 152 words

How to solve an equation?

An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.

The slope intercept form of a linear equation is:

y = mx + b

where m is the slope and b is the y intercept.

Let y represent the total words that Cecilia types after x minutes.

Cecilia types at a speed of 38 words per minute. Hence:

y = 38x

After 4 minutes:

y = 38(4) = 152 word

The total words Cecilia types over a 4 minute period is 152 words

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Please explain what answer is it. And how do u show the work

Answers

A. 5/8

The equation for the constant of proportionality is k=y/x. It shows the unit rate (ratio) of a proportional relationship between two given values.

The three ways to write a 5 to 8 ratio are: 5/8, 5:8, and “5 to 8.”
So, the answer is A. 5/8

A barrel can fill up 72 oda can. The ame barrel can fill up 18 party bottle. If I had 26 party bottle how oda can can it fill

Answers

As per the unitary method, the number of soda bottles required to fill the 26 party bottle is approximately 104.

Unitary method in math is known as the method of finding the value of the required number of a quantity by first finding the value of the unit quantity

Here we have given that a barrel can fill up 72 soda can and the same barrel can fill up 18 party bottle.

Here we need to fill 26 party bottle, so it need the number of barrel as,

=> 1 barrel = 18 party bottles.

Then for 26 party bottle it need the following number of barrels,

=> 26/18

=> 1.44

Here we also know that a barrel can fill up 72 soda can.

So, if we have 1.44 barrel, then the number of soda bottle is calculated as,

=> 1.44 x 72

=> 103.68

Therefore, approximately 104 soda bottles are required.

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HCF and LCM of 240 and 126
Please I will appreciate it

Answers

Answer:

the highest (hcf) would be 6 , while lowest (lcm) is 5,040

HELPPPP 35 pointsss it’s mathhh pls help

Answers

Answer:

Step-by-step explanation: Substitute the values in the bracket (2,6). X =2. Y = 6. Do the same for the same question

If a country's debt-to-GDP ratio is currently 50% and its debt is expected to
grow from $40 trillion to $50 trillion in the next 5 years, what will the country's
GDP have to be in 5 years to maintain the current debt-to-GDP ratio?

Answers

50% ÷ 5 jut divide it helps

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