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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?

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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50% ÷ 5 jut divide it helps

Answer:

5.099

Step-by-step explanation:

trust me

5.099 is the answer....

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:

Answer:

Property

Step-by-step explanation:

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

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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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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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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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.

Answer:

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

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

The number of points Jim scored is 15 points.

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

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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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

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.

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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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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Answer:

2

Step-by-step explanation:

There is x and no variable

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

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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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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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

Answer:

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

Answer:

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

Step-by-step explanation:

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.

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.

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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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

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

Check

26.23 ÷ 4.3 = 6.1

Therefore, the decimal point is not in the correct place

Check

103.36 ÷ 3.8 = 27.2

Therefore, the decimal point is in the correct place

Check

43.29 ÷ 0.45 = 96.2

Therefore, the decimal point is not in the correct place

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

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

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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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