Sam left $4.50 as a tip for the waiter this was 18% of the bill before the tip.how much was her total bill before the tip

Answer:d

Step-by-step explanation:

Answer:

720 Should be the answer I think.

From the given line equation, the closet point to the origin is (-6/5, 3/5).

Here we have given that the point on the line y=2x+3 that is closest to the origin.

As we all know that the closest point from origin will be the perpendicular distance from origin to the line.

Here we need to find an equation of the perpendicular from (0,0) on y = 2x + 3.

As we all know that the standard form of the equation is in slope-intercept form is written as,

=> y = mx + c

While we comparing this with the given equation, then we get the value of the Slope that is m = 2 and the Slope of the perpendicular is calculated as,

=> - (1/m) = -1/2

Now, we have to write the equation of the perpendicular is found by using the formula,

=> (y - y1) = m (x - x1)

Apply the value on the equation, then we get,

=> y - 0 = (-1/2) (x - 0)

=> y = (-1/2)x

therefore, the resulting perpendicular equation is written as,

=> 2y + x = 0 ----------------(2)

When we solving (1) and (2), then we get,

=> 5y = 3

Therefore, y = 3/5

And the value of x is calculated as

=> x + 2(3/5) = 0

=> x = -6/5

So the point on the line is (-6/5, 3/5).

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Check the picture below.

so, let's notice the angle made by the hand from 2pm to 4:45pm, well, it goes around twice, 2 revolutiions, then it goes 270° more after that, and we know the "radius" is 10.5"

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =\stackrel{360+360+270}{990~\hfill }\\ r=10.5 \end{cases}\implies s=\cfrac{(990)\pi (10.5)}{180} \\\\\\ s=\cfrac{231\pi }{4}\implies s\approx 181.43~in[/tex]

Answer:

See below.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a parallelogram}\\\\$A=bh$\\\\where:\\ \phantom{ww}$\bullet$ $b$ is the base. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]

Given:

Substitute the expressions for b and h and the value of A into the formula for area:

[tex]\implies 1=(2x-1)(4x-7)[/tex]

[tex]\implies (2x-1)(4x-7)=1[/tex]

Expand the brackets:

[tex]\implies 8x^2-14x-4x+7=1[/tex]

[tex]\implies 8x^2-18x+7=1[/tex]

Subtract 1 from both sides of the equation:

[tex]\implies 8x^2-18x+7-1=1-1[/tex]

[tex]\implies 8x^2-18x+6=0[/tex]

Factor out 2 from the left side:

[tex]\implies 2(4x^2-9x+3)=0[/tex]

Divide both sides by 2:

[tex]\implies 4x^2-9x+3=0[/tex]

Hence, showing that 4x² - 9x + 3 = 0.

Answer:

Step-by-step explanation:

Pull FG together, and assume FG is 11. HJ, must be the same as FG, so it is 11. Our answer is 121.

2y - z + z^2 is an algebraic expression. It represents a mathematical operation that includes three different terms: 2y, -z and z^2. It can be simplified depending on the context and the values of y and z.

In the given expression, 2y is the coefficient of y, which is multiplied by y. -z is subtracted from 2y and z^2 is added to the result.

In order to simplify this equation, you could combine like terms, which means combining the same variable or powers of the same variable with each other.

This expression does not have any like terms, so it can't be simplified anymore.

It can be evaluated by replacing y and z with specific values and then performing the mathematical operations in the given order.

The wood fragment is 11,460 years old by C-14 dating if only 25% of the amount the tree had when it was alive is left.

The process of carbon-14 dating can be used to determine the age of an organic material such as wood. Carbon-14 is a radioactive isotope of carbon that is present in all living organisms. When an organism dies, the carbon-14 begins to decay at a known rate, and the amount of carbon-14 in the material decreases over time. By measuring the amount of carbon-14 remaining in a sample, it is possible to determine how long ago the organism died.

If the analysis shows that the C-14 has been reduced to 25% of the amount the tree had when it was alive, it means that 75% of C-14 has decayed, and the material is therefore 75% of its way through its radioactive decay.

Carbon-14 has a half-life of 5,730 years, which means that after 5,730 years, half of the carbon-14 in a sample will have decayed. To find the age of the wood fragment, you would need to multiply the sample's decay percentage (75%) by the material's half-life (5730 years) to get the number of years that have passed.

[tex]t = \frac{5730\ ln(0.25)}{-ln2}[/tex]

Where t is the number of years to decay to 25%.

t = 5730 × ( ln(4)/ ln(2))

t = 5730 × 2

t = 11,460

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Out of 400 band-aids, 200 were used yesterday. Therefore, the percentage of band-aids used yesterday is 50%.

You started with 4 boxes × 100 band-aids per box

= 400 band-aids.

You ended with 2 boxes × 100 band-aids per box

= 200 band-aids

So you used

400 band-aids - 200 band-aids = 200 band-aids yesterday.

To find the percentage of band-aids used, you can divide the number of band-aids used by the total number of band-aids you started with and multiply by 100:

= (200 band-aids / 400 band-aids) × 100

= (1/ 2) × 100

= 50%

Therefore, 50% of the band-aids were used yesterday.

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By analyzing the given graph, we can see that the rate of change of the linear equation is 8.

A general linear equation can be written as:

y = a*x + b

Where a is the slope (also known as the rate of change, this is what we are looking for here) and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can see the points:

(1, 28) and (2, 36) and we can use these two to find the slope.

a = (36 - 28)/(2 - 1)

a = 8

So the slope (thus, the rate of change) is 8.

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The velocity of the trainee is 94.2/m m/s and 0.15 x m rev/s.

The centripetal force (Fc) felt by the trainee can be calculated using the following equation:

Fc = mv2/r

Where m is the mass of the trainee, v is the velocity and r is the radius of the circle.

Therefore, the velocity (v) required to produce a centripetal force of 7.85 times the mass of the trainee can be calculated as follows:

v =√(Fc x r/m)

=√(7.85 x 12.0/m)

=√(94.2/m)

For a given mass, the velocity is therefore 94.2/m m/s.

Converting to revolutions per second (rev/s), the velocity can be calculated as follows:

v = (2πr)/T

= (2π x 12.0)/(94.2/m)

= (14.14 x m)/94.2

= 0.15 x m rev/s

Therefore, the velocity of the trainee is 94.2/m m/s and 0.15 x m rev/s.

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Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of pie chart comes out to be the amount he spent on living expenditures was $1634.5.

A pie chart, also known as a circle chart, is a visual representation of the various values of a given variable or a way to summarize a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments. Each segment stands for a specific category.

Here,

living expenses are 35% of the monthly budgeted income of $4670.

Next, we must utilize the rule of four:

4670 $ => 100%

x=> 35%

Clearing x:

=> x=(35/100)*(4670)

=> x=1634.5$

The amount he spent on living expenditures was $1634.5.

Therefore , the solution of the given problem of pie chart comes out to be the amount he spent on living expenditures was $1634.5.  

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The formula to compute the total weekly in cell H2 is H2=D2+G2

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

(a).By using formula we get;

Regular gross pay= Regular Hours x Hourly Rate

D2=B2*C2

(b) By using the formula we get;

Overtime Hours = Hours Worked -Regular Hours

E2=A2-B2

(c) By using the formula we get;

Time-and-a-half overtime

hourly rate = Hourly rate 1.5

F2=C2x1.5

(d) By using the formula we get;

Total overtime pay

=Overtime Hours x Overtime rate

G2=E2 x F2

(e) By using the formula we get;

Total weekly pay =  Regular pay + Overtime pay

H2=D2+G2

Therefore, the unitary answer will be H2=D2+G2

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Answer:

15

Step-by-step explanation:

x + 2y

Putting x = 7, y = 4, we have

7 + 2(4)

= 7 + 8

= 15

Hope it helps.

If you have any query, feel free to ask.

Step-by-step explanation:

It's saying x = 7 and y = 4, which means everywhere there is an x, you'll place a 7 and everywhere there is a y, you'll place a 4

x + 2y turns into (7) + 2(4)

Now we can answer the bottom question

2(4) = 8

7 + 8 = 15

so...

If x =7 and y=4, then x+2y= 15

Answer:

Step-by-step explanation:

Volume of cuboid = AC x CD x CG. (Cuboid formula is l x b x h)

Now, given, area of ABCD is 25.

Area of square = a² or AC x CD

Therefore, substituting that in the first line, we get,

25 x CG = volume,

or 25 x 12 = 300 cm³. (Given CG is 12cm)

Step-by-step explanation:

Square the 3 first, which gives you 9 (use the 9 as the denominator), then do 2 X 1/9. Which leaves you with 2/9

The expression describing how many songs are played by the radio station in H hours is 12H

The phrase used to describe how many songs the radio station plays in H hours is Number of songs = 12 xH

288 songs are played in a 24-hour period.

60 nonstop songs are played over the course of 5 hours.

Given

Every hour, a radio station plays 12 songs.

Compose an expression that indicates how many songs the radio station plays in H hours.

There are 12 songs performed throughout an hour.

Then,

Number of songs=  songs played in one-hour x songs played in H hour

Number of songs=12H

The expression describing how many songs are played by the radio station in H hours is 12H

The phrase used to describe how many songs the radio station plays in H hours is 12H

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According to the given statement the area of shaded region is is 20 units squared.

As an outcome, an isosceles triangle has two equal sides as well as two equal angles. As from Greek words iso (same) and skelos, the phrase is formed (leg). Except for a right triangle, which has quadrilateral on all sides, a scalene triangle lacks equal sides on each side.

The slope of the line connecting the bottom right vertex of something like the triangle to the top left vertex of both the square is equal to -1/2.

This line's equation is y = (-1/2)x + 10. (1)

The point at the triangle's top vertex is (15, 10)

The slope of the segment between (10, 0) and (15, 10) is 10/5, which equals two.

The line connecting these two locations has the equation y = 2(x - 10) y = 2x - 20. (2)

You may get the x coordinate of the point where these lines cross by putting (1) = (2) 

(-1/2)x + 10 = 2x - 20 

30 = [5/2]. x x equals 12 and y equals 2(12) - 20 = 4.

Therefore, the triangle's shaded area's height is 4 and its base is 10.

Its area is therefore (1/2)(4)(10) = 20 units squared.

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Therefore , area and capacity of volume values equal f2 f 2 and f3 f 3, respectively, if the curve is f, f, and also the rim step size is f, f.

When we enlarge a shape by a scale factor, we multiply the area of the shape by the square of the scale factor. When we enlarge a shape by a scale factor, we multiply the volume of the shape by the cube of the scale factor. The scale factor is the proportional relationship that exists between the sides of similar figures.

Here,

Similar geometric shapes' edges, areas, and volumes are also connected to the scale factor.

The peripheral scale factor is f, f if the curve is f, f, and the surface and volume ratios are f2 f 2 but also

f3, f 3, respectively, if the correction factor is f, f.

Therefore , area and capacity values equal f2 f 2 and f3 f 3, respectively, if the curve is f, f, and also the rim step size is f, f.

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The total displacement of the car after 5hrs is 0km.

                s =sf– si

where, s = displacement.

In the given graph, there is the change in distance covered with the time that is:

Thus, the displacement will be 0 km as the final point and initial point are the same.

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The maximum deflection of the simply supported beam, given the applied load P, the length of the beam L, the Young's Modulus E of the beam material, and the moment of inertia I, is equal to (5*P*L^3)/1536.3*10^15 m.

The maximum deflection of the simply supported beam is given by:

Maximum deflection = (5PL^3)/(384EI)

where P is the load applied to the beam, L is the length of the beam, E is the Young's Modulus of the beam material, and I is the moment of inertia of the beam.

Substituting the given values into the equation, we get:

Maximum deflection = (5*P*L^3)/(384*200*10^9*39.9*10^6)

= (5*P*L^3)/(1536.3*10^15)

= (5*P*L^3)/1536.3*10^15 m

The maximum deflection of the simply supported beam, given the applied load P, the length of the beam L, the Young's Modulus E of the beam material, and the moment of inertia I, is equal to (5*P*L^3)/1536.3*10^15 m.

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Independent system of linear equations that do not rely on each other for the algebraic or graphic form of equations.

The collection of two or more linear equations involving the same variables is known as a system of linear equations. The number of orders in a system of linear equations can range from one to n.

If a consistent system only has one solution, it is regarded as independent.

Elimination or substitution are two algebraic methods for solving a system of linear equations. and was also graphically solved.

Hence Independent system of linear equations that do not rely on each other for the algebraic or graphic form of equations.

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Answer:

1/1-mpc and 1-mps

Step-by-step explanation:

to get the multiplier effect you use the formula

M=1/1-MPC

The measure of the angle subtended at the center of this circle is 78°.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know the angle subtended at the center of a circle is twice the measure of any angle subtended at any point of the circumference of the circle.

Given, The measure of the angle subtended at the circumference of this circle is 39°.

Therefore, The measure of the angle subtended at the center is,

= (2×39)°.

= 78°.

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The length that needs to cover all 3 sides of both book ends will be √208 inches.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Sylvie realizes the container will be 8 inches long and the level will be 12 inches.

Then the length is given as,

H² = 12² + 8²

H² = 144 + 64

H² = 208

H = √208 inches

Then the length that needs to cover all 3 sides of both book ends will be √208 inches.

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Answer: The answer is x = 34

Step-by-step explanation: The first triangle shows that the first angle is 84  and 36 which equals 120. Since both triangles are the same the second triangle also has to equal 120. Since you know this you simply subtract 86 from 120 which gives you 34.

Hope this helped

Answer: 72 in = 182.88cm

Step-by-step explanation: