Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $60 for every hour they work. If the plumber charges Jerald a total of $305, how many hours did the plumber work?

Write and solve an equation to determine the number of hours worked by the plumber.

35x + 60 = 305; x = 7 hours
35x − 60 = 305; x = 10.4 hours
60x + 35 = 305; x = 4.5 hours
60x − 35 = 305; x = 5.7 hours

The pit [2, 2]'s prior probability tends to be 0 and its posterior probability tends to be 1.

Compute the probabilities of Pits Each square in the Wumpus world do consist of a pit with the probability of 0.01 and consist of independent contents of the squares.

As suppose there are total of N/2 pits that are scattered randomly among the total of N squares. To compute the probabilities of the pits in [1, 3] and [2,2], consider that the probabilities of the assignments to complete where the other assignments doesn't gets off.

Thus, the total number of the 3-pit assignment rather remains consistent with the three assigned partial assignments here P 1,3 =true.Thus, in 21 assignment completes when the P 1,3 =true. Next the 55 assignment completes when the

P 1,3, = false.

Thus, it gives P(P 1.3 ) = a' (0.01(0.0001+0.0099+0.0099), 0.99(0.0001+ 0.0099)) = (0.1674, 0.8326)

While when the value of Pay = true, then there are basically four assignments that are partialenough with the total value of 0.0001, 0.0099, 0.0099, 0.9801, through the assignment gets completed.

Next when the value of Pa, = false, then there is only a single assignment that is partial with the value of 0.0001 that completes the assignments. Thus, then the final value of P (P2.2 ) is given asP(P2.2) = a' (0.01(0.0001+ 0.0099+0.0099+0.9801), 0.99x 0.0001) = (0.9902, 0.0098

Thus, the prior probability of the pit [2, 2] tends to be 0 and the posterior probability tends to be one (1).

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The equation of the graph is f(x) = |x - 3| + 5

Given that the graph is an absolute value graph

We start by calculating the vertex of the graph

In this case, the graph has it minimum point located at the coordinate (3, 5)

This coordinate can then be interpreted as

(h, k) = (3, 5)

As a general rule, the general representation of the equation of an absolute value function is f(x) = |x - h| + k

Substitute the known values in the above equation

So, we have the following equation

f(x) = |x - 3| + 5

Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5

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The value of x is 18 which is option B.

Given:

Two pyramids are similar.

if two figures are similar then the ratio of their sides are equal.

So, 24/8 =  x/6

24*6 = 8*x

144 = 8x

divide by 8 on both sides

8x/8 = 144/8

x = 144/8

x = 18.

Therefore the value of x is 18 which is option B.

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Answer:

4x+3y=12

Step-by-step explanation:

y=mx+b

m=-4/3,b=4

y=mx+b

y=-4/3x+4

3(y=-4/3x+4)

3y=-4x+12

4x+3y=12

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The height of building has shadow 47.75m long is 95.5m

The angle of elevation is defined as the angle which is formed by angle between horizontal line of sight and object.

let the height of building be h. we have given height of another building is 3.2m and shadow is 1.6m long.

we know that

tan(∅) = perpendicular/base = 3.2/1.6 =2

As question says at same time, another building of height h and shadow is 47.75m long.then angle will be same.

⇒ tan(∅) = perpendicular/base = h/47.75

⇒ h/47.75 = 2

⇒ h = 2(47.75) = 95.5m

Thus, required height of building is 95.5.

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The attendant at a parking lot compared the number of hybrid vehicles to the total number of vehicles in the lot over a weekend.

Day      hybrids    total

Fri           5             9

sat                         63

sun         40            

we need to find number of hybrids in sat and total in sun.

Number of hybrids in sat = 5*7 = 35(ratios are equal)

Total in sum = 9*8 = 72.

Day      hybrids    total

Fri           5             9

sat          35           63

sun         40           72

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For figure 4, The perimeter is 9 cm and the area is 3.5 square cm.

For figure 5, The circumference is 8π ft. and the area is 16π square ft.

For figure 6, The perimeter is 56 yards and the area is 196 square yards.

For figure 7, The perimeter is 12 cm and the area is 6 square cm.

What is the perimeter?

Perimeter is the distance measured around the edge of any geometrical shape.

The perimeter of a square having side "a" is = 4 ×a.

The perimeter of a triangle having sides "a", "b", and "c" is = a+b+c.

What is the Circumference of a circle?

In geometry, the circumference is the perimeter of a circle.

To find the circumference of a circle, we can use the formula.

                Circumference of a circle = 2×π×r

Where "r" is the radius of a circle.

What is the Area of a circle?

In geometry, the area of a circle is the space occupied by the circle.

To find the area of a circle having radius "r", we can use the formula.

                Area of a circle = π×r².

What is the Area of a triangle?

The area of a triangle is defined as the space enclosed within the three given sides of a triangle.

The formula for finding the area of a triangle for a given height "h" and base "b" is

                  Area of a Triangle = [tex]\frac{1}{2} *b *h[/tex]

What is the area of a square?

The area of a square is defined as the space occupied by the square.

To find the area of a square having side "a" is

                  Area of a Square = (a)²

For figure 4,

The sides of the given triangle are 2.5 cm, 3 cm, and 3.5 cm.

The height of the triangle is given as 2 cm.

Then, the perimeter of a triangle = 2.5 + 3 + 3.5

                                                       = 9 cm.

and the area of a triangle [tex]=\frac{1}{2}*3.5*2[/tex]

                                          = 3.5 square cm.

For figure 5,

The radius of the given circle is 4 ft.

so, the Circumference of a circle = 2×π×r

                                                       = 2×π×4

                                                       = 8π ft.

and the area of the circle = π×r²

                                          = π×(4)²

                                          = 16π square ft.

For figure 6,

The side of the given square is 14 yd.

so, the perimeter of a square = 4×side

                                                 = 4×14

                                                 = 56 yards.

and the area of a square = (side)²

                                          = (14)²

                                          = 196 square yards.

For figure 7,

The sides are 3 cm, 5 cm, and 4 cm.

so, the perimeter of a triangle = 3+5+4

                                                  = 12 cm.

The height of a triangle is 3 cm and the base is 4 cm.

and the area of a triangle = [tex]\frac{1}{2}[/tex] × h × b

                                          = [tex]\frac{1}{2}[/tex] × 3 × 4

                                          = 6 square cm.

Hence,

For figure 4, The perimeter is 9 cm and the area is 3.5 square cm.

For figure 5, The circumference is 8π ft. and the area is 16π square ft.

For figure 6, The perimeter is 56 yards and the area is 196 square yards.

For figure 7, The perimeter is 12 cm and the area is 6 square cm.

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The correct answer is (A) I and IV. The first and fourth quantities are discrete.

What is discrete quantity?

A discrete quantity has a limited range of possible values. For instance, the number of students in a classroom is a discrete quantity because the range of possible values is not continuous and can only be a positive integer.

It can only have certain values, not just any value, according to the definition of discrete. One discrete quantity is the number of sheep in a field.

Consider, the first statement

"The number of students who passed the English test".

In this quantity a certain value is considered.

Hence this quantity is discrete.

In second and third statement there is no certain quantity is considered.

Hence, these quantities are not discrete quantities.

Also in the last statement there is come quantity of pages is considered.

Hence, this quantity is discrete quantity.

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Answer: you are dummy

Step-by-step explanation:dummy

The asked percentages are given as

1. 90 is 100% of 90.

2. 9 is 10% of 90.

3. 27 is 30% of 90.

A percentage is a particular number or fraction in every hundred. The denominator of the fraction is 100, and it is represented by the symbol "%."

The purpose of percentage calculations is to determine the percentage of a whole in terms of 100. A percentage can be determined using one of two methods:

It should be noted that when the denominator is not a power of 100, the second technique of percentage computation is not used.

Given, a comb has 90 teeth.

1. Find out what percentage of 90 is 90 now.

Let the percentage be x,

(x/100) × 90 = 90

x = (90 × 100)/90

x = 100 %

2. Now, find what percent of 90 is 9.

Let the percentage be x,

(x/100) × 90 = 9

x= (9 × 100)/ 90

x = 10%

3. Now, find what percent of 90 is 27.

Let the percentage be x,

(x/100) × 90 = 27

x= (27 × 100)/ 90

x = 30%

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The cost of a soft taco is $1.25 and the cost of a burrito is $2.50.

Let the cost of a soft taco would be t and,

The cost of a burrito would be b

As per the given question, the equations would be as

3t+3b=11.25   ...(i)

4t+2b=10       ...(ii)

With the two equations in that form, an elimination solution is probably the simplest.

Multiply each equation by a constant so that the coefficients of b are opposite so that when the two equations are joined, b is eliminated.

-6t-6b = -22.50

12t+6b = 30.00

_____________

6t   =  7.50

t = 7.50/6 = 1.25

Substitute the value of t = 1.25 in equation (ii), and solve for b

4(1.25)+2b=10

5+2b=10

2b=5

b=2.50

Thus, the cost of a soft taco is $1.25 and the cost of a burrito is $2.50.

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Using the concept of the sine function, the bracket made an angle of 51.37° with the wall.

The sine of an angle is represented by the trigonometric function sin x, where x is the angle under consideration. The ratio between a right-angled triangle's perpendicular and the hypotenuse is known as the sine function. In other words, the hypotenuse is the ratio of the side opposite to the angle being discussed, and its value changes as the angle do. The sine function is used in physics to depict sound and light waves.

Use the trigonometric function sinθ = perpendicular/ hypotenuse

From the given figure, in accordance with ∠x

Perpendicular = 2.5 ft

Hypotenuse = 3.2 ft

So, sinx = 2.5/ 3.2

sinx =  0.78125

x = sin⁻¹(0.78125)

x = 51.37°

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The rate of change of the area of the square when the side length is 8 inches is 224 inches per hour.

Let s be the side of the given square.

A = s²

dA/dt = d (s²)/dt

dA/dt = 2s × ds/dt

Given ds/dt= 14 inches per hour, s = 8 inches

dA/dt = 2×14×8

dA/dt = 224 inches per hour

The area of the square is s². Since we need to find the rate of change we need to differentiate the area with respect to time which will give us  2s × ds/dt. Once we replace the given values with their respective positions we will get the desired answer. Hence the rate of change in the area of the square is 224 inches per hour.

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Juan wants to buy a video game for $63  He saves  every Friday $12.

An equation to represent Juan’s total savings, , in dollars, after  Fridays y is  

Part A is

y =12x

Fridays will it take for Juan to save up enough money for the video game is .

Part B

y >  63

12 x > [tex]5\frac{1}{4}[/tex]

x  =  6

so

That means 6 fridays

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The unit price for a 7-meter roll of blue ribbon costs $12.04 is $1.72.

The unit price is simply used to calculate the price that's paid for each good.

In this case, the 7 -meter roll of blue ribbon costs $12.04. Therefore, to get the unit price goes thus:

= Total amount paid / Number of meters

= $12.04 / 7

= $1.72

The unit price is $1.72.

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The amount of Interest Tristan pays is $955.2

Given:

Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.

we are asked to determine the interest Tristan pays for it:

we know:

P = $4000

r = 7.4%

t = 3 years.

Evaluate :

I = 4000(1+7.4%)³ - 4000

I = 4000(1+0.074)³ - 4000

I = 4000(1.074)³ - 4000

I = 4000(1.2388) - 4000

I = 4955.2 - 4000

I = 955.2

Hence we get the required interest as $955.2

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Answer: $68.99

Step-by-step explanation:

12% of 61.60 is 7.39200, if you simplify the total, you would get 7.39. Then, you add the total with the sale price to get the original price. Which in this case is $68.99.

The values of x, y and z are 4, 1 and - 6 respectively.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied

We have the following equations -

8x + y + 4z = 9

4x - 3y + z = 7

8x - 4y + 5z = - 2

We have -

4x - 3y + z = 7

z = 7 - 4x + 3y

We can write -

8x + y + 4z = 9

as -

8x + y + 4(7 - 4x + 3y) = 9

8x + y + 28 - 16x + 12y = 9               ...Eq[1]

and we can write -

8x - 4y + 5z = - 2

8x - 4y + 5(7 - 4x + 3y) = -2

8x - 4y + 35 - 20x + 15y = - 2         ...Eq[2]

Plot the graph of equation [1] and [2]. We will will get -

x = 4

y = 1

Now -

z = 7 - 4x + 3y

z = 7 - 16 + 3

z = - 6

Therefore, the values of x, y and z are 4, 1 and - 6 respectively.

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Answer:

[tex]\frac{73}{8}[/tex]

If u mean that x^y+y^x then the above answer is correct. You can more simplify it in decimals if you want.

Answer:

x=-4

Step-by-step explanation:

-3x-18=-6

-3x=12

x=-4

Answer:  x=-4

Step-by-step explanation:

Start off with the equation: -3x-18=-6

Add 18 to both sides: -3x=12

Divide by -3: x=-4

Hope this helped!

The required value of t according to the given question is - 8.

Given points are (-2,t) and (-1,-6)

Now let these two points be considered as

A and B that is let the points be A(-2,t) and B(-1,-6)

To find the slope of the graph we will use the formula m = y - y₁ / x - x₁

Given y = ty₁ = - 6x = - 2 x₁ = - 1

Thus on substituting these values in the above mentioned formula we will get m = t + 6 / - 1

Also given slope or m = 2Thus 2 = - t - 6 t = - 6 - 2 t = - 8

Thus the required value of t is - 8.

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Answer:

150/512 < 64/125

Step-by-step explanation:

5/8 * 6/8 * 5/8 = 150/512 = 0.295

4/5 *4/5 * 4/5 = 64/125 = 0.512

Therefore: 0.295 < 0.512 or 150/512 < 64/125

Answer:

3/2x

Step-by-step explanation:

The required probability that there are at least 1 blue candy and 1 green candy left in the jar when you have taken out all the red candies is 7/12 .

Probability is defined as the ratio of total numbers of outcomes of an event to the favouable outcomes of an event.

We have , Red candies in the jar = 10

green canides in the jar = 30

blue candies in the jar = 20

total number of candies in jar = 60 i.e total number of outcomes = 60

The Probability that the last of sixty candies drawn is one of thirty green candies = 30/60 = 1/2

Ignoring green canides, probability that the last of the thirty other candies drawn is one of twenty blue = 20/30 = 2/3

The Probability that the last of sixty candies drawn is one of twenty blue candies = 20/60 = 1/3

The Probability that the last of sixty candies drawn is not one of twenty blue candies = 1 - 1/3

= 2/3

Probability that last draw would be blue and the last not blue would be green = 20/60 × 30/40

= 1/4 ----(1)

Probability that last draw would be green and the last not green would be blue = 30/60× 20/30

= 1/3 ------(2)

Now , Required probability that last draw would be either blue or green canidy = sum of above probabilty from equation (1)and (2)

= 1/4 + 1/3 = 7/12

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Answer:

The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).

What are co-ordinates?

Step-by-step explanation:

Given:

    20 = 1/2x + 5/2

20 * 2 = x + 5

     40 = x + 5

        x = 35

Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)

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Answer:

To do percentages with fractions,

divide the numerator by denominator to get a decimal,

so for example, 12/40.

12/40 is 0.3 decimal, and then to make it percent,

we multiply by 100,

how does that work?

you move two places to the right because 100 has two zeros

so 0.3 would be 30,

therefore the percent of 12/40 would be 30%

number two same thing

33/60=0.55

0.55x100=55

so 55%

have a good day! <3

Answer:

Step-by-step explanation:

Answer:

  38 units

Step-by-step explanation:

You want the perimeter of pentagon ABCDE with vertices at A(4, -2), B(4, 10), C(7, 10), D(15, 4), E(7, -2).

The perimeter of a plane figure is the sum of the lengths of its sides.

By counting grid squares, or subtracting coordinates, you can find the lengths of the vertical and horizontal segments easily:

  AB = 12, BC = 3, EA = 3

The lengths of the diagonal segments can be found using the distance formula or your knowledge of Pythagorean triples. Counting grid squares (or subtracting coordinates), you see that each diagonal side has a vertical distance of 6 and a horizontal distance of 8. These correspond to twice the lengths of the sides in a 3-4-5 triangle, so you know the diagonal length is twice the hypotenuse: 2·5 = 10.

The Pythagorean theorem, or the distance formula, will tell you the same thing:

  c² = a² +b² . . . . . . Pythagorean theorem for sides a, b, hypotenuse c

  c = √(a² +b²)

  diagonal length = √(6² +8²) = √100 = 10

Then the remaining two sides are ...

  CD = 10, DE = 10

The perimeter is ...

  perimeter = AB +BC +CD +DE +EA

  = 12 +3 +10 +10 +3 = 38 . . . units

The perimeter of pentagon ABCDE is 38 units.

The total amount of sugar which contains in 4 grams of sugar = 304 grams.

Amount of sugar fast food smoothie has = 76 gram

amount of sugar a teaspoon of sugar contains = 4 gram

Thus the total amount of sugar which contains in 4 grams of sugar = 4 × 76

this implies  the total amount of sugar which contains in 4 grams of sugar  = 304 grams

In this question we used the unitary method where we multiplied a quantity with a known quantity to find the value of an unknown quantity.

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The correlation coefficient can be used to get a better understanding and to determine the extent of a strong relation between two variables.

In a statistical setting, two or more variables are said to be connected if their values fluctuate in such a way that as the value of one variable rise or falls, the value of the other variable does the same (although it may be in the opposite direction).

For instance, there is a relationship between the two variables "hours worked" and "revenue earned" if a rise in hours worked is correlated with an increase in income earned. When considering the two factors "price" and "purchasing power," the ability of a person to purchase items reduces as the price of those goods rises (assuming a constant income).

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(a) Equation is 8x - 2x = 36

(b) By solving equation we get the value of x = 6

(c) The length of the rectangle is 14

Given,

In the question:

A square and a rectangle have same perimeter.

The square (2x,2x) and the rectangle (10, x+8) have perimeters of the same length.

Now, According to the question:

We know that the formula of Perimeter of rectangle and square.

Perimeter of square = 4 x side

Perimeter of rectangle = 2(length + breadth)

Perimeter of a square = 4(2x) = 8x

Perimeter of rectangle = 2(x + 8) + 20

Now,

8x = 2x + 16 + 20

6x = 36

x = 6

Hence, (a) Equation is 8x - 2x = 36

(b) By solving equation we get the value of x = 6

(c) The length of the rectangle is 14 .

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