Brad's dinner bill, including a 16% tip, is $10.44.

What was the amount of the bill before the tip?

Enter your answer in the box.

The answer for the fraction 1/4 of 100 is 25.

Given,

The fraction; 1/4

We have to find the 1/4 of 100.

Fraction;

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions

Here,

1/4 of 100 = 1/4 x 100 = 25.

That is,

The answer for the fraction 1/4 of 100 is 25.

Learn more about fractions here;

https://brainly.com/question/17058737

#SPJ1

Answer:

7/64

Step-by-step explanation:

7/6÷8=7/6*1/8=7/64

Hope this helps :)

Answer:

It would be B

Step-by-step explanation:

You can check each question by subsituting the x and y with points on the graph.

Example: (1,3)

y = 3x

3 = 1 x 3

3 = 3

Answer:

B

Step-by-step explanation:

We are given a proportional relationship and we want to find the equation that models it.

Since the relationship is proportional, we know that it must go through the origin point (0, 0).

Also, we can see from the graph that it passes through the point (1, 3).

We can now find the constant of proportionality or the slope using the slope formula:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

Let (0, 0) be (x₁, y₁) and let (1, 3) be (x₂, y₂). Hence:

\(\displaystyle m=\frac{3-0}{1-0}=\frac{3}{1} = 3\)

Our constant of proportionality is 3.

A proportional relationship is given by:

\(y=kx\)

Where k is the constant of proportionality.

So:

\(y=3x\)

Our answer is B.

Answer:

Okay

Step-by-step explanation:

want me to come over to your place

Answer:

 x<15

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x+5<50

Step 2: Subtract 5 from both sides.

3x+5−5<50−5

3x<45

Step 3: Divide both sides by 3.

3x /3  <  45 /3

Answer:

The percentage of IQs that would be over 80 is 68%.

Step-by-step explanation:

The percentage of IQs that would be over 80 is 68%.

This is because 68% of the population falls within one standard deviation of the mean on a normal distribution. In this case, the mean is 100 and the standard deviation is 16, so 68% of the population has an IQ between 84 and 116.

The remaining 32% of the population falls outside of one standard deviation of the mean. 16% of the population has an IQ below 84 and 16% of the population has an IQ above 116.

The mean is represented by the dotted line in the center of the graph. The standard deviation is represented by the two dotted lines on either side of the mean. The shaded area represents the 68% of the population that has an IQ between 84 and 116.

Your current monthly income, before the effect of inflation, is approximately $2,129.63.

To determine your current monthly income, we need to account for the effect of inflation on the purchasing power of your income. Given that the inflation rate is eight percent, we can calculate the original income before the inflation adjustment.

Let's denote your current monthly income as "X."

The purchasing power after accounting for eight percent inflation is $2,300. This means that your original income, before the inflation adjustment, would have had a higher value. We need to find this original income.

Inflation reduces the purchasing power of your income, so we need to increase the current purchasing power by the inflation rate to find the original income. In this case, we'll increase $2,300 by eight percent:

Original Income = $2,300 / (1 + 0.08)

Original Income = $2,300 / 1.08

Original Income ≈ $2,129.63

Therefore, your current monthly income, before the effect of inflation, is approximately $2,129.63.

for such more question on effect of inflation

https://brainly.com/question/777738

#SPJ8

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

Learn more about degrees of freedom

brainly.com/question/32093315

#SPJ11

There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

Learn more about  t-test

https://brainly.com/question/13800886

#SPJ11

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

More can be learned about supplementary angles at brainly.com/question/2046046

#SPJ1

Using the angle addition formula, simplify the equation to sin(-5x)=-0.3. Taking the inverse sine, the smallest positive solution is approximately x=0.06.



To solve the equation \( \sin (5x) \cos (10x) - \cos (5x) \sin (10x) = -0.3 \) for the smallest positive solution, we can rewrite it using the angle addition formula for sine:

\[ \sin (a - b) = \sin a \cos b - \cos a \sin b. \]

Comparing this with the given equation, we can see that \( a = 5x \) and \( b = 10x \). Therefore, we can rewrite the equation as:

\[ \sin (5x - 10x) = -0.3. \]

Simplifying further, we have:

\[ \sin (-5x) = -0.3. \]

Now, we can solve for \( x \) by taking the inverse sine of both sides:

\[ -5x = \sin^{-1}(-0.3). \]

To find the smallest positive solution, we need to consider the principal value of the inverse sine function. In this case, the range of the inverse sine function is \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \).

Therefore, the smallest positive solution for \( x \) is:

\[ x = -\frac{1}{5} \sin^{-1}(-0.3). \]

Evaluating this expression numerically, we have:

\[ x \approx 0.064.\]

Hence, the smallest positive solution for \( x \) is approximately 0.06 (accurate to two decimal places).

To learn more about angle addition formula click here brainly.com/question/20719538

#SPJ11

Answer:

134.17

Step-by-step explanation:

Answer:

134.17

Step-by-step explanation:

To educate a patient on how to judge the appropriate size of a serving of chicken or lean beef, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of their hand. This will help them make healthy choices and keep track of their portions. So, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand.

A serving size is a standardized amount of food or drink that is intended to make it easier for people to compare the nutritional content of different products and understand how much they are consuming. A serving size might be listed on a food label or recommended as part of a healthy eating plan or diet.

The recommended serving size for different foods and beverages can vary depending on several factors, including a person's age, sex, and physical activity level, as well as the nutrient content of the food or drink.

For example, a serving of fresh vegetables might be 1 cup, while a serving of meat, poultry, or fish might be 3 ounces. A good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand. This can help you make healthy choices and keep track of your portions.

For more questions on: estimate

https://brainly.com/question/28973109

#SPJ8

Answer: part a is 5 x 12 = 60 , then 40 divided by ten which is 4 and I’m too stupid for part b lol

Answer:

It's 46°

Step-by-step explanation:

\(m \angle AMY = 62 - 37 = 25 \degree\)

\(m \angle CME = 159 - 138 = 21 \degree\)

\({ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}\)

The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the picture,

The measure of angle PMY = 62 degrees

The measure of angle PMA = 37 degrees

The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37

= 25 degrees

Similarly,

Angle CME = 79 - 21 = 58 degrees

m∠AMY+m∠CME = 25 + 58 = 83 degrees.

Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ5

expected value of defected lamps =1.5

Probability of 5 defected lamps= 0.166

probability less than five defected lamps=0.995

Given, the probability that a lamp is defective is 0.05. A random sample of 30 lamps is tested.

(a) The number of defective lamps expected in the sample is found by calculating the expected value of the number of defective lamps in a sample. The expected value of the number of defective lamps in a sample is E(X) = np = 30 × 0.05 = 1.5 defective lamps.    

(b) The probability that there are exactly five defective lamps in the sample is found using the probability mass function (PMF) of the binomial distribution. The PMF is P(X = k) = C(n, k) × p^k × (1 - p)^(n - k)

where C(n, k) is the number of ways to choose k items from a set of n items, p is the probability of success, and n is the number of trials.

P(X = 5) = C(30, 5) × 0.05^5 × (1 - 0.05)^(30 - 5) = 0.166.

(c) The probability that there are fewer than five defective lamps in the sample is found using the cumulative distribution function (CDF) of the binomial distribution. The CDF is

P(X ≤ k) = Σ P(X = i) where Σ is the sum from i = 0 to i = k.

P(X ≤ 4) = Σ P(X = i) = 0.995.

The expected value of the number of defective lamps in a sample is E(X) = np = 30 × 0.05 = 1.5 defective lamps.

The probability that there are exactly five defective lamps in the sample is P(X = 5) = C(30, 5) × 0.05^5 × (1 - 0.05)^(30 - 5) = 0.166.

The probability that there are fewer than five defective lamps in the sample is P(X ≤ 4) = 0.995.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

Answer:

-4 5/12

Step-by-step explanation:

-4.41666666667 would be your answer hope it helps

The  |120-x| simplifies to 120-x when x is less than 120.

S If x is less than 120, then the expression |120-x| simplifies to 120-x. This is because the absolute value bars mean that the result must be positive,

so if x is already less than 120, then subtracting x from 120 will give a positive result.

For example, if x is 115, then |120-x| would equal |120-115|, which simplifies to |5|, which equals 5.  

To learn more about : simplifies

https://brainly.com/question/723406

#SPJ11

In the given Venn diagram, we have sets A and B, as well as the universal set U. The regions in the diagram represent different combinations of elements belonging to A, B, and their complements (Ac and Bc).

The intersection (Ac ∩ Bc) represents the elements that are both in the complement of A and the complement of B. In other words, it includes the elements that do not belong to A and also do not belong to B.

Learn more about  Venn diagram here : brainly.com/question/17041038
#SPJ11

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

The scale factor of the first circle with radius 9 in to that of the second circle with diameter 6 in  is  3.00

The scale factor of a circle to another is the ratio of their radii

Radius of the first circle = 9 in

Diameter of the second circle = 6 in

Radius = Diameter / 2

Radius of the second circle = 6 / 2

Radius of the second circle = 3 in

Scale factor = (Radius of the first circle) / (Radius of the second circle)

Scale factor = 9/3

Scale factor = 3.00 (2 decimal places)

Learn more here: https://brainly.com/question/24020850

Answer:

x > 3

Step-by-step explanation:

The given function is\(y = e^-3x/(2x-7)^2.\) To find the derivative using the quotient rule, we use the following formula:

\($$\frac{d}{dx}\left[\frac{f(x)}{g(x)}\right]\\=\frac{g(x)\cdot f'(x)-f(x)\cdot g'(x)}{g(x)^2}$$\)Let us now solve the problem:

\($$\text{Let }f(x) \\= e^{-3x}\text{ and }g(x) \\= (2x-7)^2$$$$f'(x)\\ = -3e^{-3x}\text{ and }g'(x) \\= 4(2x-7)$$$$\text\)

Therefore,  

y\(' = \frac{(2x-7)^2(-3e^{-3x}) - e^{-3x}(4(2x-7))}{(2x-7)^4}$$$$\\)Right arrow

\(y' = \frac{-6x^2+56x-133}{(2x-7)^3}e^{-3x}$$\) Thus, the derivative of

\(y = e^-3x/(2x-7)^2\)\(y = e^-3x/(2x-7)^2\), using quotient rule, is given by

\($$\frac{-6x^2+56x-133}{(2x-7)^3}e^{-3x}$$.\)

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

  34 square units

Step-by-step explanation:

You want the area of the triangle with vertices X(6, 8), Y(3, 3), and Z(13, -3).

There are several ways the area of a triangle can be calculated from the coordinates of the vertices. One relatively easy method is to find half the absolute value of the sum of the determinants of adjacent pairs of points.

This calculation is shown in the second attachment.

The area of ∆XYZ is 34 square units.

A slope calculation will tell you side XY is perpendicular to side YZ. This means you can find the area from the lengths of these two sides. The distance formula can tell you the lengths.

  XY = √((3 -6)² +(3 -8)²) = √(9 +25) = √34

  YZ = √((13 -3)² +(-3 -3)²) = √(100 +36) = 2√34

 Area = 1/2bh = (1/2)(√34)(2√34) = 34 . . . . square units

Pick's theorem tells you the area of a polygon with vertices on grid points can be found by counting the grid points on the boundary and interior to the boundary.

  A = i + (b/2) -1

This triangle has the three given vertices on grid points, along with point (8, 0), which is the midpoint of YZ. There are 33 interior points, so the area is ...

  A  = 33 +(4/2) -1 = 34 . . . . square units

The length of XZ is ...

  XZ = √((13 -6)² +(-3 -8)²) = √(49 +121) = √170

Heron's formula tells you the area is given by ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2, the semiperimeter

The third attachment shows this calculation gives an area of 34 square units.

__

Additional comments

The slope calculation tells you the slope of XY is ...

  m = (y2 -y1)/(x2 -x1) = -5/-3 = 5/3

and the slope of YZ is ...

  m = -6/10 = -3/5 . . . . . . . . the opposite reciprocal of the slope of XY

Hence these sides are perpendicular, as we noted above.

We like Pick's theorem for finding the areas of small figures with irrational side lengths (such as this one). It just involves counting, which is often easier than using a bunch of different formulas for slope or length.

The determinant formula is easy to compute, but tedious to enter on a calculator. It is much easier to program a spreadsheet for this. As with Pick's theorem, the method applies to a polygon with any number of vertices.

  \(\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-bc\)

In these 2×2 matrices, the coordinates can be listed in rows or in columns. It makes no difference to the calculation. The key is to work in one direction around the figure. (Here, we went CCW.)

The triangle is drawn in the first attachment. The geometry program that drew it also calculated its area to be 34 square units.

You may have noticed that the "determinant" method and Pick's theorem guarantee that the area of any polygon with integer coordinates will be an integer multiple of 1/2 square unit. That is, it will never be irrational. (You might not see that using Heron's formula.)

#95141404393

Answer:

\(\sqrt{10}\)

Step-by-step explanation:

This is a 45-45-90 triangle whose leg to hypotenuse ratio is 1 / \(\sqrt{2}\)

so I set up a proportion of 1 / \(\sqrt{2}\) = x / 2 \(\sqrt{5}\)

cross-multiply to get \(\sqrt{2}\)x = 2\(\sqrt{5}\)

x = 2\(\sqrt{5}\) / \(\sqrt{2}\) and multiply numerator and denominator by \(\sqrt{2}\), this is called rationalizing the denominator

lets do

\(\\ \sf\longmapsto \sqrt{2}x=2\sqrt{5}\)

\(\\ \sf\longmapsto x=\dfrac{2\sqrt{5}}{\sqrt{2}}\)

\(\\ \sf\longmapsto x=\sqrt{2}\sqrt{5}\)

\(\\ \sf\longmapsto x=\sqrt{2(5)}\)

\(\\ \sf\longmapsto x=\sqrt{10}\)

Answer:

See below.

Step-by-step explanation:

\((5x^2y^3)^0\div(-2x^{-3}y^5)^{-2}\)

First, note that everything to the zeroth power is 1. Thus:

\(=1\div(-2x^{-3}y^5)^{-2}=\frac{1}{(-2x^{-3}y^5)^{-2}}\)

Distribute using Power of a Power property:

\(=\frac{1}{(-2)^{-2}(x^{-3})^{-2}(y^5)^{-2})}\)

Make the exponents positive by putting them to the numerator:

\(=\frac{(-2)^2(x^{-3})^2(y^5)^2}{1}\)

\(=\frac{4x^{-6}y^{10}}{1}\)

Make the exponent positive by this time putting it to the denominator:

\(=\frac{4y^{10}}{x^6}\)

Answer:

Step-by-step explanation:

Since 1cm=10mm

(big to small multiply, small to big divide)

3579/10=357.9

so 1.1 cm or 11 mm

Answer:

40

Step-by-step explanation:

We are given that f: Z → Z and g: Z → Z are defined by the rules f(x) = (1 - x) % 5 and g(x) = x + 5.We need to determine the value of g ◦ f(13) + f ◦ g(4).

We know that g ◦ f(13) means plugging in f(13) in the function g(x). Hence, we need to first determine the value of f(13).f(x) = (1 - x) % 5Plugging x = 13 in the above function, we get:

f(13) = (1 - 13) % 5f(13)

= (-12) % 5f(13)

= -2We know that g(x)

= x + 5. Plugging

x = 4 in the above function, we get:

g(4) = 4 + 5

g(4) = 9We can now determine

f ◦ g(4) as follows:

f ◦ g(4) means plugging in g(4) in the function f(x).

Hence, we need to determine the value of f(9).f(x) = (1 - x) % 5Plugging

x = 9 in the above function, we get:

f(9) = (1 - 9) % 5f(9

) = (-8) % 5f(9)

= -3We know that

g ◦ f(13) + f ◦ g(4)

= g(f(13)) + f(g(4)).

Plugging in the values of f(13), g(4), f(9) and g(9), we get:g(f(13)) + f(g(4))=

g(-2) + f(9)

= -2 + (1 - 9) % 5

= -2 + (-8) % 5

= -2 + 2

= 0Therefore, the value of g ◦ f(13) + f ◦ g(4) is 0.

To know more about value visit:
https://brainly.com/question/30145972

#SPJ11

Answer:

Step-by-step explanation:

5*12=60

60*22=1320