Complete the statement to describe the expression (a+b+c)(d+e+f)(a+b+c)(d+e+f). The expression consists of 3 factors, and each factor contains terms

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.

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.

(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 .

Learn more about Rectangle and Square at:

https://brainly.com/question/2189895

#SPJ1

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

Learn more about the parking and hybrid vehicles here:

https://brainly.com/question/4758733

#SPJ1

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.

To learn more about differentiation and differential equations,

https://brainly.com/question/24898810

#SPJ4

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

please rate it,thanks.

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%

To know more about the percentage, visit:

https://brainly.com/question/24120406

#SPJ1

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.

To know more about angle of elevation visit:

brainly.com/question/21137209

#SPJ4

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.

To know more about unitary method you may visit the link which is mentioned below:

https://brainly.com/question/22056199

#SPJ4

The number of races that were 10-kilometer long is 102.

An athlete ran a total of 1,500 kilometers in a race before retiring. The athlete completed 32 races that were at least 15 kilometers in length. The rest were 10-kilometer races. We need to find out the number of races that were 10-kilometer long.

Let the number of races that were 10-kilometers long be denoted by the variable "x". An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign. We can write the equation as given below.

32×15 + 10x = 1,500

480 + 10x = 1,500

10x = 1,500 - 480

10x = 1,020

x = 1,020/10

x = 102

Hence, the number of races that were 10-kilometer long is 102.

To learn more about numbers, visit :

https://brainly.com/question/17429689

#SPJ4

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.

To learn more about the perimeter, circumference, and area of geometrical shapes, visit:

https://brainly.com/question/18750613

#SPJ1

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.

Learn more about the value of x and pyramid here:

https://brainly.com/question/12075607

#SPJ1

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.

Learn more about price on:

brainly.com/question/14286952

#SPJ1

In the function f(2)= -5, 2 is the preimage of the function and 5 is an image of the function.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

Suppose that f(a) = b

In that case, element "b" is the image of element "under the function," while element "a" is the preimage of element "under the function."

In the given function f(2)= -5

2 is the preimage of the function and 5 is an image of the function.

Hence, the 2 is the preimage of the function and 5 is an image of the function.

Learn more about function, by the following link.

https://brainly.com/question/25638609

#SPJ1

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

To learn more about probability, refer :

https://brainly.com/question/13604758

#SPJ4

Answer:

3/2x

Step-by-step explanation:

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

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

Learn more about Loan here:

brainly.com/question/26011426

#SPJ9

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).

For more information on correlation kindly visit to

https://brainly.com/question/28898177

#SPJ4

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.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ1

Answer:

28

Step-by-step explanation:

mean is when you add all the numbers divide it by the amount of terms

So to find the sum of the terms we just multiply 5 by 4

20 is the sum and since the mean is 8 with 6 terms we multiply those also

8x6

48 and to find the number we subtract 48 by 20

48-20

28

Hopes this helps please mark brainliest

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

To learn more about total savings refer to:

https://brainly.com/question/9063096

#SPJ1

The length of the x is 4.8 units

In the given figure

There is one circle and 2 chords

The chord of the circle is defined as the line segment joining any two points one the circumference of the circle

There are two chords in the figure, those are BD and AC

We know that

DE × EB = AE × EC

This is the rule of chords in the circle

The length of DE = 10 units

The length of EB = x units

The length of AE = 6 units

The length of EC = 8 units

Substitute the values in the equation

10 × x = 6 × 8

10x = 48

x = 48/10

x = 4.8 units

Hence, the length of the x is 4.8 units

Learn more about chord here

brainly.com/question/19008587

#SPJ1

Answer: you are dummy

Step-by-step explanation:dummy

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)

To know more about equations check below link:

https://brainly.com/question/2972832

#SPJ13

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°

To know more about sine function, visit:

https://brainly.com/question/6826226

#SPJ1

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.

The numerical value of the expression ( jk−1 )÷j when j=−4 and k=−0.9 is -0.65.

Given the expression in the question;

To determine the numerical value of the expression, plug in the values of j and k and then simplify.

( jk − 1 ) ÷ j

Plug in j = -4 and k = -0.9

( jk − 1 ) ÷ j

( (-4 × -0.9) − 1 ) ÷ (-4)

Simplify

( 3.6 − 1 ) ÷ (-4)

( 2.6 ) ÷ (-4)

-0.65

Therefore, the value of the expression is -0.65.

Learn more about algebraic expressions here: brainly.com/question/4344214

#SPJ1

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.

To solve more questions on system of equations, visit the link below-

https://brainly.com/question/21620502

#SPJ1

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!