the ratio of the number of cookies baked by anna, danny, and liesa was 5:4:2. after anna ate 30 of her own cookies and danny ate 50 of his own cookies, anna had 140 more cookies than danny. How many cookies did liesa bake?

The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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Answer:

19/ 143

Step-by-step explanation:

There are 19 rock songs out of 143 total

P(rock) = number of rock songs/ total

            = 19/ 143

It takes 5.9 minutes for the Ferris wheel to complete one revolution. It takes 5.9 minutes for the Ferris wheel to complete one revolution. “A Ferris wheel has a radius of 34 feet and completes two revolutions every 11.8 minutes.

How long does it take for the Ferris wheel to complete one revolution?”, we need to use the concept of time and angle taken by the Ferris wheel to complete one revolution.The Ferris wheel’s radius is 34 feet.

Thus, the diameter of the Ferris wheel is 2 × radius = 2 × 34 = 68 feet.Circumference of the Ferris wheel = 2 × π × r = 2 × π × 34 = 68π feetNow, we need to find out how much time it takes for the Ferris wheel to complete one revolution.

Time taken for two revolutions = 11.8 minutesThus, time taken for one revolution = (11.8/2) minutes = 5.9 minutes

So, it takes 5.9 minutes for the Ferris wheel to complete one revolution. It takes 5.9 minutes for the Ferris wheel to complete one revolution.

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Answer:

The answer is D.

Step-by-step explanation:

For each of these questions, you just have to substitute one of the x values, where the X is in the equation. Then the equation is true is the Y value you solve for is the same as the corresponding  Y value.

Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

The relevant circuit relations are ...

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

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Answer:

yup

Step-by-step explanation:

M = -2n - 13

hope this helps

Answer:

The factors of them are, 1, 2, and 4.

Step-by-step explanation:

Answer: 5m^2 (4m-5)

Step-by-step explanation: Factor 5m^2 out of 20m^3

5m^2 (4m)-25m^2

Factor 5m^2 out of -25m^2

5m^2 (4m)+5m^2(-5)

Factor 5m^2 out of 5m^2 (4m)+5m^2(-5).

5m^2(4m-5)

What is the first error Vanessa made in her proof: B. Vanessa only established some of the necessary conditions for a congruence criterion.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the reflexive property of equality, we can logically deduce the following congruent and similar triangles:

KM ≅ KM

ΔKLM ≅ ΔMNK  (SSS similarity theorem).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

D. 125%

Step-by-step explanation:

First day = 80 responses

Second day = 180 responses

Increase in responses = 180 - 80

= 100 responses

what percent is the increase 100 of the original number of responses 80

= Increase in responses / original number of responses × 100

= 100/80 × 100

= 1.25 × 100

= 125%

The percent increase 100 of the original number of responses 80 = 125%

we have the inequality

y > -1.25

the solution is the interval (-1.25, infinite)

Note that the number -1.25 is not included in the solution

so

Verify each statement

2) -1.75 is a solution ------> false

3) all the solutions are negative -------> false

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

The given homogeneous system of equations can be represented as a matrix equation Ax = 0, where A is the coefficient matrix and x is the vector of variables.

To find the solution set in parametric vector form, we can perform row operations on the augmented matrix [A|0] and express the variables in terms of free parameters.

The augmented matrix for the given system is:

[3 3 6 | 0]

[-9 -9 -18 | 0]

[0 -7 -7 | 0]

Using row operations, we can transform this matrix to row-echelon form:

[3 3 6 | 0]

[0 -6 -12 | 0]

[0 0 -7 | 0]

Now, we can express the variables in terms of free parameters. Let x2 = t and x3 = s, where t and s are arbitrary parameters. Solving for x1 in the first row, we get x1 = -2t - 2s.

Therefore, the solution set in parametric vector form is:

x = [-2t - 2s, t, s], where t and s are arbitrary parameters.

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Answer:

should be 37.68 miles

Step-by-step explanation:

12 x 3.14

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

Answer: C

Step-by-step explanation: because you it has the greatest with an ration is 4 by 8

Answer:

My guess is 10 because out of the 14 donuts in the graph half of them are jelly filled so following the stats half of the 20 donuts will be jelly filled making 10 half of 20.

Answer:

0.6

Step-by-step explanation:

La fórmula para calcular la probabilidad de dos eventos se da como:

P (A⋃B) = P (A) + P (B) - P (A ⋂ B)

De la pregunta, sabemos que:

Probabilidad de que Carlos haya comido pollo frito: P (C) = 0.4.

Probabilidad de que Carlos coma una hamburguesa para el almuerzo: P (H) = 0.3.

Probabilidad de que Carlos almorce pollo frito y hamburguesa el mismo día: P (C ⋂ H) = 0.1.

Probabilidad de que Carlos coma pollo frito o hamburguesa para el almuerzo:

P (C ⋃ H) =?

Por lo tanto, aplicando nuestra fórmula:

P (C ⋃ H) = P (C) + P (H) - P (C ⋂ H)

P (C ⋃ H) = 0.4 + 0.3 - 0.1

P (C ⋃ H) = 0.6

Answer:

Lashonda has driven 16 miles.

Step-by-step explanation:

4/5 = ?/20

You're able to solve the missing variable in a lot of ways, but cross multiplication is one of them.

20 · 4 = 80

80/5 = 16

I hope this helped! Happy new year :)

The new system of equations is 2p + 16q = -16 and p + 10q = -10, and they have the same solution with the old because it can be converted

The system of equations is given as

p + 8q = -8

1/2p + 5q = -5

To generate a new system of equations, we can multiply the old equations by 2

So, we have the following computations

2(p + 8q = -8)

2(1/2p + 5q = -5)

Evaluate the products

2p + 16q = -16

p + 10q = -10

They would have the same solutions because the new equations can be converted to the old equations

This is done by dividing the new equations by 2

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Answer:

Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.

Step-by-step explanation:

If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.

From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°

Hence, using angle addition postulate:

m∠ABD + m∠DBC = m∠ABC

20 + m∠DBC = 80

subtracting 20 from both sides (subtraction property of equality)

m∠DBC = 80 - 20

m∠DBC = 60°

Answer:

10

Step-by-step explanation: You would have to multiply 2 by itself 50 times.

The value of the given expression is 32.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 2⁵

Evaluate using the Power rule:

mⁿ = m *m* m* m* m*m.......n times

Thus, the Value of the expression 2⁵ will be:

2⁵ = 2 * 2 * 2 * 2 * 2

2⁵ = 32

Therefore, The value of the given expression is 32.

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The expression that represents the required distance is \(\mathbf{ s = \frac{h}{0.5878}}\)

The given parameters are:

\(\mathbf{\theta =36^o}\) --- the angle of elevation to the top of the tree

To do this, we make use of the following representations

The distance (s) is then calculated using the following sine ratio

\(\mathbf{ sin(\theta) = \frac{h}{s}}\)

Make s the subject

\(\mathbf{ s = \frac{h}{sin(\theta)}}\)

Substitute \(\mathbf{\theta =36^o}\)

\(\mathbf{ s = \frac{h}{sin(36)}}\)

Evaluate sin(36)

\(\mathbf{ s = \frac{h}{0.5878}}\)

The height of the tree is not known.

Hence, the expression that represents the required distance is \(\mathbf{ s = \frac{h}{0.5878}}\)

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The expression that represents the required distance is

The given parameters are:

--- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the tree

h represents the height of the tree

The distance (s) is then calculated using the following sine ratio

Make s the subject

Substitute

Evaluate sin(36)

The height of the tree is not known.

Hence, the expression that represents the required distance is

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Step-by-step explanation: To find out how much active ingredient is in 10 gallons of bleach that is 5% active ingredient, we need to use the following formula: Active ingredient = Volume of bleach × Percentage of active ingredient first, we need to convert the percentage to a decimal by dividing by 100.5% = 5/100 = 0.05Now we can substitute the values into the formula: Active ingredient = 10 gallons × 0.05= 0.5 gallonsTherefore, there are 0.5 gallons of the active ingredient in 10 gallons of bleach that is 5% active ingredient.

Answer:

Step-by-step explanation:

\((7a+8b-9c)-(a+b+c)=(7a+8b-9c)-a-b-c=6a+7b-10c\)

Step-by-step explanation:

75-40= 35

\( \frac{35}{40} \times 100\% = 87.5\%\)

Step-by-step explanation:

I hope this answer is helpful ):

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

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The sum of the equation is \(9\sqrt{2}\) and it can be determined by using addition and it can be determined by summation rule in the equation.

Equation; \(\sqrt{8} +3\sqrt{2} +\sqrt{32}\)

The sum of the equation.

To determine the sum of the equation following all the steps given below.

The sum of the equation is determined by factorizing the equation,

Then,

The sum of the equation is,

\(=\sqrt{8} +3\sqrt{2} +\sqrt{32}\\\\= \sqrt{2\times 2\times2 }+ 3\sqrt{2} +\sqrt{2\times 2\times2 \times 2\times2 }\\\\= 2\sqrt{2} + 3\sqrt{2} + 2\times 2\sqrt{2} \\\\= 2\sqrt{2} + 3\sqrt{2} + 4\sqrt{2} \\\\= 9 \sqrt{2}\)

Hence, The required sum of the equation is \(9\sqrt{2}\).

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Answer:

7

Step-by-step explanation:

The answer is 7

This is because 2/3 *24=16

Then we are left with 8 so 1/8 *8 = 1

so 24-(16+1)