Hisako sells dolls at her doll store for $35. If a customer who wants to purchase it has to pay $2.80 sales tax for this doll, what is the sales tax rate?

Answer:

1)2

2)0 that means no symmetry

3)0

Step-by-step explanation:

Answer:

1 620 minutes or 27 hrs

Step-by-step explanation:

look at attachment

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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The capacity of fish tank in quarts is 246.

Therefore the answer is 246.

A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.

There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.

The capacity of the fish tank in pints is 492.

Therefore, the capacity of the fish tank in quarts is

= 492 pints / 2 pints per quart

= 246 quarts

So, the capacity of the tank in quarts is 246 quarts.

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Answer:

answer is this =8y-2v-8x

Step-by-step explanation:

Answer:

8y - 2v - 8x

Step-by-step explanation:

-2(-3y + v) + 2(-4x + y)

~Distribute

6y - 2v - 8x + 2y

~Combine like terms

8y - 2v - 8x

Best of Luck!

approximately 75.8% of college students will take more than 4.22 minutes when trying to find a parking spot in the library parking lot.

To find the number of minutes that 75.8% of college students will take or exceed when trying to find a parking spot in the library parking lot, we need to use the properties of the normal distribution and its associated Z-scores.

Since we are given the mean (μ = 3.5 minutes) and the standard deviation (σ = 1 minute), we can use these values to calculate the Z-score corresponding to the desired percentage.

First, we need to find the Z-score corresponding to the cumulative probability of 0.758. We can use a standard normal distribution table or a calculator to find this Z-score.

Using a standard normal distribution table, we can find that the Z-score corresponding to a cumulative probability of 0.758 is approximately 0.72.

Now, we can use the Z-score formula to find the corresponding value in terms of minutes:

Z = (X - μ) / σ

0.72 = (X - 3.5) / 1

0.72 = X - 3.5

X = 3.5 + 0.72

X ≈ 4.22

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Answer:

AB would be 18 or the first choice.

Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.

x + 8 = 2x - 17

  + 17       +17

x + 25 = 2x

-x            -x

    25 = x

This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.

Step-by-step explanation:

hope this helps. . . <3

good luck!      uωu

Answer:

a. 5 n/p o 1 p/ 5n

b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos

Step-by-step explanation:

Se entiende como razón a la fracción que compara dos elementos entre sí.

Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:

- Por cada 15 mujeres hay 9 varones 9/15

- Por cada 9 varones hay 15 mujeres, 15/9

Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.

El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:

- Cada 3060 autos, 1720 son asiáticos

- Cada 3060 autos, 1320, son americanos

Answer:

p = $200

HINT: 10% of anything is just when you move the decimal over one to the left ;)

The solutions of the equation are x = 2 and x = -2.Now, we can find the values of A, B, C and D as:\($$A^2 + B^2 + C^2 + D^2 = (-2)^2 + 2^2 + 0^2 + 0^2 = 8$$\)

Therefore, the value of A2 + B2 + C2 + D2 is 8.

The given equation is:\($$x^2(x^2 + 4x - 5) = 4(x^2 + 4x - 5)$$\)We can write this equation as \($x^2 = 4$ or $(x^2 + 4x - 5) = 4$.\)

When\($x^2 = 4$,\) then x = ±2. Now, we will check the second part of the equation\($(x^2 + 4x - 5) = 4$\) for both values of x.If x = 2, then \($$(2)^2 + 4(2) - 5 = 9$$If $x = -2$\), then \($$(-2)^2 + 4(-2) - 5 = -9$$\)

We know that a² + b² + c² + d² = (a+b+c+d)² - 2(ab+bc+cd+da)

Therefore, the solutions of the equation are x = 2 and x = -2.Now, we can find the values of A, B, C and D as:\($$A^2 + B^2 + C^2 + D^2 = (-2)^2 + 2^2 + 0^2 + 0^2 = 8$$\)

Therefore, the value of A2 + B2 + C2 + D2 is 8.

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Answer:

200

Step-by-step explanation:

-5*10 = -50

-50*-4 = 200

Answer:

200

Step-by-step explanation:

-5 * 10 is equal to -50.

-50 * -4 = 200 ----- the two negatives cancel out, leaving a positive answer.

Answer:

yes

Step-by-step explanation:

plz mark me brainlest

Yes. The price vary directly with the number of toppings.

It is given that a large pizza with one topping costs $15.50 and with four toppings it cost $20.

We have to tell that does the price vary directly with the number of toppings.

What will be the cost of one pen if 10 pens cost $ 120 ?

The cost of 1 pen can be calculated by dividing cost of 10 pens by no. of pens and that will be 120 ÷ 10 or $ 12.

As per the question ;

The large pizza with one topping costs $15.50.

A large pizza with four topping costs $20.

So ,

The cost of pizza with one topping is less as compare to the pizza with four toppings.

i.e.,

15.50 < 20

So , we can conclude that with the increase in number of toppings the cost of pizza also increases.

Thus , it is true that the price of pizza vary directly with the number of toppings.

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The equation of the plane through the point (9, 0, 3) and perpendicular to the line x = 3t, y = 6-t, z = 1 + 4t is  4y + z = 3

To find an equation of the plane, we need to find the normal vector of the plane. The normal vector is perpendicular to the plane and is also perpendicular to the line given in the question. We can find the direction vector of the line by taking the coefficients of t in the equations for x, y, and z.

The direction vector of the line is <3, -1, 4>. Since the normal vector is perpendicular to the direction vector, we can take the cross product of the direction vector with any other vector to find the normal vector. Let's take the cross product with the vector <1, 0, 0>:

Normal vector = <3, -1, 4> x <1, 0, 0> = <0, 4, 1>

Now we can use the normal vector and the point (9, 0, 3) to find the equation of the plane. The equation of a plane is given by:

ax + by + cz = d

Where  is the normal vector and d is a constant. Plugging in the normal vector and the point, we get:

0(9) + 4(0) + 1(3) = d

d = 3

So the equation of the plane is:

0x + 4y + z = 3

Or simply:

4y + z = 3

This is the equation of the plane through the point (9, 0, 3) and perpendicular to the line x = 3t, y = 6-t, z = 1 + 4t.

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Answer:

$1.62

Step-by-step explanation:

Answer:

There is no error, Amad is correct.

Step-by-step explanation:

Khan Academy Checked.

Amad had done no error. His conclusion is true.

Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.

For example,

In the figure given above, Δ ABC and Δ PQR are congruent triangles. This means that the corresponding angles and corresponding sides in both the triangles are equal.

Sides: AB = PQ, BC = QR and AC = PR;

Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.

Therefore, Δ ABC ≅ Δ PQR

The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles.

As, from the given cases the prediction of congruency of two triangles is correct. There is no error he made.

Hence, Amad had not made any error.

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Answer:

The distance between the two points is approximately 3.142 units.

Step-by-step explanation:

The polar coordinates (r, θ) represent the point located at a distance of r from the origin and an angle of θ from the positive x-axis.

The given polar coordinates are:

(6, /3) : This represents a point that is 6 units away from the origin and makes an angle of /3 radians (or 60 degrees) with the positive x-axis.

(8, 2/3): This represents a point that is 8 units away from the origin and makes an angle of 2/3 radians (or approximately 38.69 degrees) with the positive x-axis.

To find the distance between these two points, we can use the following formula:

distance = \(\sqrt{(r1^2 + r2^2 - 2r1r2*cos(θ2 - θ1))}\)

where r1 and r2 are the respective radii (or distances from the origin) of the two points, and θ1 and θ2 are their respective angles.

Substituting the given values, we get:

distance = \(\sqrt{(6^2 + 8^2 - 268*cos(2/3 - /3))}\)

distance = \(\sqrt{(36 + 64 - 96*cos(1/3))}\)

distance = \(\sqrt{(100 - 96*cos(1/3))}\)

Using a calculator, we get:

distance ≈ 3.142

Therefore, the distance between the two points is approximately 3.142 units.

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Answer: -17x-1

Step-by-step explanation: Hope this help :D

Answer:

-17x-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well, since 50,000 dollars is in the 5% tax range, then we would have to find 5% of 50,000 dollars. So, we would have:

\(50,000\cdot5\%=50,000\cdot\frac{1}{20}=\frac{50,000}{20}=2500.\)

HOPE IT HELPS.

The question the equation represents is when no one is absent, there are 23 members in the band.

Option C is the correct answer.

We have,

We can solve the equation to find the value of x, which represents the total number of band members when no one is absent.

The equation is 525 = 25(x-2)

To solve for x, we can first simplify the right side of the equation:

525 = 25x - 50

Add 50 to both sides:

575 = 25x

Divide both sides by 25:

23 = x

Therefore,

The question the equation represents is when no one is absent, there are 23 members in the band.

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Answer:

28 km

Step-by-step explanation:

The 10th percentile of the normal distribution with mean 43 and standard deviation 8 is approximately 32.16.

To find the 10th percentile of a normal distribution with mean mu and standard deviation sigma, we can use the inverse cumulative distribution function (CDF) of the standard normal distribution.

The 10th percentile is the value below which 10% of the observations fall. Therefore, we need to find the z-score such that the area under the standard normal curve to the left of z is 0.1.

Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to the 10th percentile is approximately -1.28.

Then, we can use the formula for transforming a standard normal distribution to a normal distribution with mean mu and standard deviation sigma:

z = (X - mu) / sigma

Rearranging the formula, we get:

X = mu + z * sigma

Substituting mu = 43, sigma = 8, and z = -1.28, we get:

X = 43 + (-1.28) * 8 = 32.16

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Answer:

19,680

Step-by-step explanation:

1 lb = 16 ounces

1230 lb = 1230 * 16 ounces = 19,680 ounces

The set of vectors {x, cos(x)} is linearly independent as per the concept of linearity of vectors.

To determine if the set of vectors {x, cos(x)} in F(-∞, ∞) is linearly dependent, we need to check if there exist scalars c1 and c2, not all zero, such that c1x + c2cos(x) = 0 for all values of x in the given interval.

Let's consider a specific value of x, say x = 0.

Plugging this value into the equation, we have c1(0) + c2cos(0) = 0. Since cos(0) = 1, the equation simplifies to c2 = 0.

Now, considering another specific value of x, say x = π/2, we have c1(π/2) + c2cos(π/2) = 0. Again, cos(π/2) = 0, so the equation simplifies to c1(π/2) = 0. This implies that c1 = 0.

Since c1 = c2 = 0, the only solution to the equation c1x + c2cos(x) = 0 for all x in F(-∞, ∞) is the trivial solution. Therefore, the set of vectors {x, cos(x)} is linearly independent.

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The complete question:

By using appropriate identities, where required, determine which of the following sets of vectors in F(-∞, ∞) are linearly dependent.

a. x, cosx

Answer:

Option D is correct answer.

Step-by-step explanation:

We are given the system of equations:

\(x+y=4\\x-y=-6\)

Solving the system of equations to find values of x and y

Let:

\(x+y=4--eq(1)\\x-y=-6--eq(2)\)

Adding both equations to find value of x

\(x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1\)

So, we get value of x: x=-1

Now, putting value of x: x=-1 into equation 1 to find value of y

\(x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5\)

So, we get value of y: y=5

The ordered pair will be: (-1,5)

So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.

Checking:

Put x=-1 and y=5 in equation 1

\(x+y=4\\-1+5=4\\4=4\:True\)

Put x=-1 and y=5 in equation 2

\(x-y=-6-1-5=-6\\-6=-6\:\:\:True\)

So, both equations are true.

Therefore, Option D is correct answer.

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:\(\sqrt{20} = 4. 4= integer\)

BD is the Perpendicular bisector of AC.

To complete the flowchart proof, we have to prove that BD is the perpendicular bisector of AC. Here's the proof:

Given D is the midpoint of Line AC and Line AC ⊥ BD, we need to prove that BD is the perpendicular bisector of AC.

1. Draw a diagram of the given situation. Let D be the midpoint of Line AC and Line AC ⊥ BD.

2. Draw Line BD.

3. Since AC is perpendicular to BD, angle ABD and angle CBD are right angles.

4. Since D is the midpoint of AC, AD = DC.

5. Since angle ABD and angle CBD are right angles, triangle ABD and triangle CBD are both right triangles.

6. By the Pythagorean Theorem, AB² + BD² = AD² and BC² + BD² = CD².

7. Since AD = DC, then AD² = DC². Therefore, AB² + BD² = BC² + BD².

8. Subtracting BD² from both sides of the equation, we get AB² = BC².

9. Therefore, triangle ABC is an isosceles triangle, since AB = BC.

10. Since triangle ABC is isosceles, then angle ABD and angle CBD are congruent.

11. Since angle ABD and angle CBD are congruent, then BD is the perpendicular bisector of AC.

Hence, BD is the perpendicular bisector of AC.

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The total momentum between the objects during the collision is 210 kgm/s

Momentum is the product of the mass of an object and its velocity.

Since two objects are in motion towards each other. The first has a mass of 10 kg and a velocity of 7 m/s. The second object has a mass of 10 kg and a velocity of 14 m/s, from the law of conservation of momentum, the total momentum during the collision is the sum of their momenta.

So, the total momentum P = p + p' where

So, P = mv + m'v'

Given that

Substituting the values of the variables into the equation for total momentum, we have

P = mv + m'v'

P = 10 kg × 7 m/s + 10 kg × 14 m/s

P = 70 kgm/s + 140 kgm/s

P = 210 kgm/s

So, the total momemtum is 210 kgm/s

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Descriptive statistics are used to summarize data in a useful and informative manner.

This type of statistics provides meaningful information about the data set by organizing and presenting it in an easily understandable format. Descriptive statistics can be used to summarize the data in the form of tables, graphs, and charts. It can also be used to provide detailed information about the data set, such as the mean, median, mode, standard deviation, and range.

Descriptive statistics can also be used to make inferences about a population. This is done by comparing the data collected from a sample to the characteristics of the population. By understanding the characteristics of the population, researchers can make accurate predictions about the behavior of the population.

Descriptive statistics can also be used to determine if the data adequately represent the population. This involves analyzing the sample size, data accuracy, and the assumptions made about the population. If the data does not accurately represent the population, then researchers have to make changes to their data collection process or revise their assumptions about the population.

Finally, descriptive statistics can be used to gather or collect data. This involves designing surveys, experiments, and other data collection methods. By using descriptive statistics to collect data, researchers can ensure that the data is valid and reliable.

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