What is 13/6 simplified into a proper fraction?

Answer:

T-shirt = $71.80

Hat= $76.50

Foam Finger= $92.25

Poster= $28.50

I think.

Step-by-step explanation:

Answer:

T-shirt: $71.8

Hat: $76.5

Foam Finger: $92.25

Poster: $28.5

Answer:

103 = <2

Step-by-step explanation:

Angle 4 and angle 2 are vertical angles and vertical angles are equal

<4 = <2

103 = <2

Answer:

103

Step-by-step explanation:

Angle 4 and Angle 2 are congruent so they have the same value.

Answer:

  height = 2/5h

Step-by-step explanation:

You want the height of a frustum if the volume of the frustum is 98/125 times the volume of the original cone, which was of height h.

Let h' represent the height of the part of the cone that is removed to leave the frustum. Then its volume (v') is ...

  v' = (volume of large cone)(1 - 98/125) = v·(27/125)

The scale factor between h' and h is ...

  (h'/h)³ = v'/v = 27/125

  h'/h = ∛(27/125) = 3/5

The height of the frustum in terms of the height of the original cone is ...

  frustum height = (height of large cone) - (height of small cone)

  frustum height = h - (3/5)h

  frustum height = 2/5h

<95141404393>

The complex number -8i can be written as 0 - 8i.

In complex number notation, the real part is represented by the coefficient of the real term (0 in this case) and the imaginary part is represented by the coefficient of the imaginary term (-8 in this case) multiplied by the imaginary unit "i". Therefore, the complex number -8i can be written as 0 - 8i.

The real part of a complex number represents the horizontal axis on the complex plane, while the imaginary part represents the vertical axis. In this case, the complex number -8i lies on the negative imaginary axis.

Know more about complex number notation here:

https://brainly.com/question/9775530

#SPJ11

Answer:

11x

6+48y

Step-by-step explanation:

add all x values for the first problem

distribute 6 into (1+8y)

c) The inequalities are w + c ≤ 50, c  ≥  10, 35c +75w  ≥ 2350.

d) The coordinate of A is (15,35).

e) Jody invests 35 hours of work as a carpenter. He took less time to work as a carpenter than in web design. Because the earnings per hour in web design is more than a carpenter.

What is the solution to the system of equations?

A list of numbers x, y, z, etc. that simultaneously make all of the equations true is the solution of a system of equations. A system of equations' solution set is the whole of all possible answers. Finding all answers using formulas containing a certain number of parameters is known as solving the system.

Now solve the equations w + c ≤ 50 and 35c +75w  ≥ 2350.

Conver the inequality sign with an equal sign:

w + c = 50 ......(i)

35c +75w  = 2350  .....(ii)

Slove the equations by using the elimination method.

Multiply equation (i) by 35 and subtract it from equation (ii)

35c +75w  = 2350

35 w + 35c = 1750

______________

            40c = 600

c = 15

Putting c = 15 in the equation(i)

w + 15 = 50

w = 50 - 15

w = 35

The value of c is 15.

To learn more about the system of inequalities, click on the below link:

https://brainly.com/question/19526736

#SPJ1

Answer:

Associative Property of Addition

Step-by-step explanation:

According to the Associative Property of Addition: when three real numbers are added, it makes no difference which two are added first.

a + (b + c) = (a + b) + c

Therefore, in the given equality statement: (6 + 4) + 100 = 6 + (4 + 100)​, the sum of the numbers on either side of the equation will have the same results.

(6 + 4) + 100 = 6 + (4 + 100)​

(10) + 100 = 6 + (104)

110 = 110

Please mark my answers as the Brainliest, if you find this explanation helpful :)

Answer:

D.y + 1 = 6(x - 6)

Step-by-step explanation:

The general form of a straightline equation is given as

y = mx + c

where m is the slope and c is the intercept

m = Δy/Δx

from the given points

m = (-7 - -1)/(5 - 6)

= -6/-1

= 6

Considering the points x₁ and y which are  6 and -1

and using the formular

m = (y - y₁)/(x - x₁)

6 = (y - -1)/(x - 6)

y + 1 = 6(x - 6)

The CNF representation in set notation is: {{P, A, Q, V}, {P, A, Q, R}}

The CNF representation in set notation is:{{P, V, Q}, {A}, {R}}

The CNF representation in set notation is:{{!P, H}, {Q}}

The CNF representation in set notation is:{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

The CNF representation in set notation is:{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

To convert the formula (PAQVR) into CNF, we can break it down as follows:

Distribute the disjunction over the conjunction.

PAQVR = (PAQV) ∧ (PAQR)

Convert each clause into sets.

(PAQV) = {{P, A, Q, V}}

(PAQR) = {{P, A, Q, R}}

Combine the clauses using conjunction.

{{P, A, Q, V}} ∧ {{P, A, Q, R}}

The CNF representation in set notation is:

{{P, A, Q, V}, {P, A, Q, R}}

To convert the formula (-(PVQ) AR) into CNF, we can break it down as follows:

Remove the implication.

(-(PVQ) AR) = (!(-(PVQ)) ∨ A) ∧ R

Apply De Morgan's Law and distribute the disjunction over the conjunction.

(!(-(PVQ)) ∨ A) ∧ R = ((PVQ) ∨ A) ∧ R

Convert each clause into sets.

(PVQ) = {{P, V, Q}}

A = {{A}}

R = {{R}}

Combine the clauses using conjunction.

{{P, V, Q}, {A}} ∧ {{R}}

The CNF representation in set notation is:

{{P, V, Q}, {A}, {R}}

To convert the formula (PH-Q) into CNF, we can break it down as follows:

Convert the implication into disjunction and negation.

(PH-Q) = (!P ∨ H) ∨ Q

Convert each clause into sets.

!P = {{!P}}

H = {{H}}

Q = {{Q}}

Combine the clauses using conjunction.

{{!P, H}, {Q}}

The CNF representation in set notation is:

{{!P, H}, {Q}}

To convert the formula (-(S+ (-PVQV-R)) into CNF, we can break it down as follows:

Remove the double negation.

-(S+ (-PVQV-R)) = (!S ∨ (PVQV-R))

Distribute the disjunction over the conjunction.

(!S ∨ (PVQV-R)) = ((!S ∨ P) ∧ (!S ∨ V) ∧ (!S ∨ Q) ∧ (!S ∨ V) ∧ (!S ∨ -R))

Convert each clause into sets.

!S = {{!S}}

P = {{P}}

V = {{V}}

Q = {{Q}}

-R = {{-R}}

Combine the clauses using conjunction.

{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

The CNF representation in set notation is:

{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

To convert the formula ((RS) V-QV-P) into CNF, we can break it down as follows:

Distribute the disjunction over the conjunction.

((RS) V-QV-P) = ((RS ∨ -Q) ∧ (RS ∨ -V) ∧ (RS ∨ -P))

Convert each clause into sets.

RS = {{R, S}}

-Q = {{-Q}}

-V = {{-V}}

-P = {{-P}}

Combine the clauses using conjunction.

{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

The CNF representation in set notation is:

{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

Learn more about Conjuction:https://brainly.com/question/8094735

#SPJ11

Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

Yes, Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.

From the information provided, we have the following inequality which models the rate at which Mwamini drinks water and juice:

25W + 40J < 120

Where:

Therefore, the rate at which Mwamini drinks water and juice are 25 and 40 respectively, within a time limit of 120 seconds.

When W = 2 and J = 1, the solution to the inequality is given by:

25W + 40J < 120

25(2) + 40(1) < 120

50 + 40 < 120

90 < 120 (Yes and true).

In conclusion, it is very possible for Mwamini to drink 2 liters of water and 1 liter of juice within 120 seconds.

Read more on inequality here: https://brainly.com/question/20505952

#SPJ1

Complete Question:

Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.

Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.

25W + 40J < 120

According to the inequality, at what rate does Mwamini drink juice, and what is her time limit?

Mwamini drinks juice at a rate of ___ seconds per liter, and her time limit is ____ seconds.

Can Mwamini drink 2 liters of water and 1 liter of juice within her time limit?

Choose 1 answer:

yes or no

Answer:

k = 31

Step-by-step explanation:

-1/7, since parallel lines have equal slopes.

Answer:

9.

Step-by-step explanation:

The highest power is 3*3 = 9, so it's 9.

The solution of the system of equation are,

x = 1/3 and y = 0

We have to given that;

System of equations are,

3x - 4y = 11

y + 3x = 1

From (ii);

y = 1 - 3x

Put above value in (i);

3x - 4 (1 - 3x) = 1

3x - 4 + 12x = 1

15x = 5

x = 1/3

From (i);

y + 3 (1/3) = 1

y + 1 = 1

y = 0

Thus, The solution of the system of equation are,

x = 1/3 and y = 0

Learn more about systems of equations at:

brainly.com/question/14323743

#SPJ1

The solution to the system of equations is x = 1 and y = -2.

We have,

3x - 4y = 11

y + 3x = 1

To solve the system of equations:

3x - 4y = 11

y + 3x = 1

We can use the method of substitution or elimination.

Let's solve it using the elimination method.

Multiply equation 2) by -1 to eliminate the term 3x:

-1(y + 3x) = -1(1)

-y - 3x = -1

Now we have the following system of equations:

3x - 4y = 11

-y - 3x = -1

Add equation 1) and equation 2) together:

(3x - 4y) + (-y - 3x) = 11 + (-1)

3x - 4y - y - 3x = 10

-5y = 10

Divide both sides of the equation by -5:

-5y / -5 = 10 / -5

y = -2

Now substitute the value of y = -2 into equation 2):

-2 + 3x = 1

Add 2 to both sides:

3x = 3

Divide both sides by 3:

3x / 3 = 3 / 3

x = 1

Therefore,

The solution to the system of equations is x = 1 and y = -2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

186 beats per minute

Step-by-step explanation:

The maximum heart rate (r ) in beats per minute is modeled by the equation :

r = 220 - a ...(1)

Where

a is age of the person in years

If Sanchez age is, a = 34 years

Put a = 34 in equation (1)

r = 220 - 34

= 186 beats per minute

Hence, the maximum heart rate is 186 beats per minute.

Answer:

5 > x

Step-by-step explanation:

2(3x - 5) < 4x

~Distribute left side

6x - 10 < 4x

~Subtract 6x to both sides

-10 < -2x

~Divide -2 to both sides

5 > x

Best of Luck!

To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

For more such questions on triangles.

https://brainly.com/question/17335144

#SPJ8

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

Learn more about utility function here:

https://brainly.com/question/31498128

#SPJ11

4)  the distribution of the sample proportion of the 125 taxpayers that used the computer software to do their taxes is n(0.34, 0.0424) - option A

5)  the probability that between 28% and 40% of the taxpayers from the sample of 125 used computer software to do their taxes is pnorm(0.4,0.34,0.0424) - pnorm(0.28,0.34,0.0424) - Option A

4) Given data:

P = 0.34 and n = 125

Since, np = 0.34 * 125 = 42.5 > 10

& n(1 - p) = 125 * 0.66 = 82.5 > 10

Therefore, the normal distribution can be used here:

Mean is μp = p = 0.34

The standard Deviation is σp = \(\sqrt \frac{P(1-p)}{n} = \sqrt\frac{(0.34)(0.66)}{125} = 0.0424\)

The distribution of sample proportion will be;

N (0.34, 0.0424)

Therefore, option (a) is correct that is n(0.34, 0.0424)

5) The likelihood that between 28% and 40% of the 125 taxpayers in the sample used tax preparation software is calculated as follows:

pnorm (0.4, 0.34. 0.0424) - pnorm (0.28, 0.34, 0.0424)

Therefore, option A is correct that is pnorm(0.4,0.34,0.0424)-pnorm(0.28,0.34,0.0424)

To know more about computer software, refer to this link:

https://brainly.com/question/12977866

#SPJ4

A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

How to Determine location?

The most popular method is to locate the place by utilizing coordinates like latitude and longitude or, if a street address is known, by using them. Although less accurate than providing coordinates or an address, absolute location can also be the name of the city, area, or postal code in which a place is located.

So,

According to the question,

A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

Hence,

A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

To learn more about determining location, visit;

https://brainly.com/question/10731440

#SPJ4

Answer:

14: (-3,-5)

15: (1,0)

Step-by-step explanation:

In three ways of distributing her money between three banks will guarantee that all of her money is insured .

Given :

Gwendolyn has $725,000 she wants to save.

fdic insurance limit per depositor, per bank, is $250,000

The three ways  of distributing her money between three banks will guarantee that all of her money is insured are :

Hence , In three ways of distributing her money between three banks will guarantee that all of her money is insured .

Learn more about money deposit at:

https://brainly.com/question/9362313

#SPJ4

Answer:

x = -3

Equation: 2x + 2 = -4

x = 2

Equation: 3x - 3 = 3

Answer:

C, my friend. Trust the BlueDragon

Step-by-step explanation:

30% of $30 is 9, $30-$9 is $21.00

He saved $9.00

Answer:

The charity drive was held over two days. On the first day, the 20 artists worked for 6 hours. On the second day, 25 artists turned up and worked for 12 hours. Find the total number of art installations completed over the two days.​

Step-by-step explanation:

Let's start by finding the total number of art installations completed on the first day by the 20 artists who worked for 6 hours. If each artist creates one art installation, then the total number of installations created by the 20 artists is:

20 artists x 6 hours/artist = 120 art installations

On the second day, 25 artists worked for 12 hours. Using the same assumption that each artist creates one art installation, the total number of installations created by the 25 artists is:

25 artists x 12 hours/artist = 300 art installations

Therefore, the total number of art installations completed over the two days is:

120 + 300 = 420

So, the charity drive produced 420 art installations over the two days.

tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).

Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.

The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).

Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

Learn more about trigonometric identities here:

https://brainly.com/question/24377281

#SPJ11

In theory, this event could pay enough to cancel out Wanda's expenditures the job pay 16 trips.

Establish a variable.

Utilizing the variable, write an equation.

Make the equation work.

Let C be the total cost of each transaction.

T, the quantity of slides down the water slide,

Since the price is the same regardless of how much she rides, C = 89 for the first transaction.

For the second agreement, C = 16plus T.

Set the two costs equal to one another, then use T to determine when they are equal.

89 = 16 + T + T = 18 trips.

Given that the first contract can only have a cost of $90, the price must be $15.

90 = 15 + T + T = 16 trips.

To learn more about expenditures refer to:

https://brainly.com/question/935872

#SPJ1