Hi, can you help me to solve this problem, please !!!

We have the following information:

• At a sale, a sofa is being sold for ,67% of the regular price

• The sale price is $469

And we need to determine the regular price.

To find it, we can proceed as follows:

1. Let x be the regular price. Then we have:

2. Now, we have to solve for x as follows:

Therefore, in summary, the regular price is $700.

The original recipe has half of the number of strawberries She wants to use in her salad in this case we will need double the fruits of the recipe given

Bananas

4x2=8 bananas

Apples

3x2=6 apples

Pears

6x2=12 pears

Commutative property:

For addition and multiplication if you change the order of the addernds or factor is doesn't change the sum or multiplication.

Example:

Addition

Multiplication:

Closure property:

When you add or subtract any two intergers, the result will always be an interger.

Example:

8, 13 and 21 are intergers

The angles that form a linear pair involving point F are:

a. ∠DFC and ∠CFG

d. ∠HFD and ∠CFD

A linear pair can be defined as the set of two angles that are adjacent to each other and share a common vertex and a common side, and also lie on a straight line.

Given the image in the question above, we see that:

Angle DFC and angle CFG share a common side FC and a common vertex point F, hence, they are adjacent angles that lie on a straight line, thus, they are a linear pair.

Angle HFD and angle CFD also share a common side FD and a common vertex point F. This makes them adjacent to each other. Also they are on a straight line. Therefore, angle HFD and angle CFD are a linear pair.

Thus, we can conclude that the angles that form a pair of angles that are classified as a linear pair are:

a. Angle DFC and angle CFG

d. Angle HFD and angle CFD

Learn more about the linear pair on:

https://brainly.com/question/13218054

#SPJ1

The number is 22

What is a number?

A number is a mathematical entity that may be used to count, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language. Individual numbers can be represented more generically by symbols known as numerals; for example, "5" is a numeral that represents the number five. Because only a small number of symbols can be memorized, fundamental numerals are often structured in a numeral system, which is a systematic method of representing any number. The most prevalent numeral system is the Hindu-Arabic numeral system, which allows any number to be represented using a combination of 10 fundamental numeric symbols known as digits.

4n - 25 = 63

or, 4n = 63 + 25

or, n = 88/4 = 22

Hence, the number is 22

To know more about numbers, click on the link

https://brainly.com/question/28159255

#SPJ9

The cost of each game is $2.25.

The cost of each ride is $4.50.

Here are the system of linear equations that can be derived from the question:

7g + 2r = 24.75 equation 1

3g + 6r = 33.75 equation 2

Where:

In order to determine the value of g, multiply equation 1 by 3:

21g + 6r = 74.25 equation 3

Subtract equation 2 from equation 3:

40.50 = 18g

g = 40.50 / 18

g = 2.25

In order to determine the value of r, substitute for g in equation 1 :

7(2.25) + 2r = 24.75

15.75 + 2r = 24.75

2r = 24.75 - 15.75

2r = 9

r = 9 /2

r = 4.50

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

Answer:

Domain: (-∞, ∞)

Range: (-∞, -9]

Step-by-step explanation:

Consider that the reservation costs $625. Moreover, it is necessary to pay additional $11 per person for food. If x is the number of people, it means that it is necessary to pay 11x dollars for x people.

THen, the total cost is $625 plus 11x dollars. If y is the cost of the class pool party, you have the following algebraic equation which expresses the given situation:

y = 11x + 625

If there are 26 people in the party, that is, if x = 26, the cost is:

y = 11(26) + 625

y = 286 + 625

y = 911

Hence, the cost is $911

Answer:

Step-by-step explanation:

Given:

Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).

Triangle ABC reflected over the x-axis to get the triangle A'B'C'.

To find:

The coordinates of the image A'B'C'.

Solution:

If a figure reflected over the x-axis, then rule of transformation is

Now, using this rule, we get

Therefore, the coordinates of the image  A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).

To calculate the final amount of money at the end of the period, considering that the interest is compounded continuously you have to use the following formula:

Where

A is the accrued amount at the end of the given time

P is the principal amount

r is the annual nomial interes expressed as a decimal value

t is the time period in years

For this investment, the initial value is P= $200

The interest rate is 6%, divide it by 6 to express it as a decimal value

The time is t= 20 years

After 20 years, the amount of money in the account will be $664.02

a)

The oven devaluated from $1970 to $270 in 10 years.

Since each year it looses the same value, divide the change in the price over the time interval to find the rate of change of the value with respect to time.

To find the change in price, substract the initial price from the final price:

The change in price was -$1700.

Divide -1700 over 10 to find the change in the price per year:

The initial value of the oven was $1970, and each year it looses a value of $170.

Then, after x years, the value will be equal to 1970-170x.

Then, the linear equation that models the value of the oven, y, after x years of use, is:

b)

To find the value of the oven after 2.5 years, substitute x=2.5:

Then, the value of the oven after 2.5 years is $1545.

c)

To find the y-intercept, substitute x=0:

The y-intercept is the initial value of the oven when 0 years have passed.

d)

The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y = 5  .

In the question ,

it is given that

the required line is perpendicular to x = -4

the slope of x = -4

x + 4 = 0

0.y = x + 4

slope = 1/0

so the slope of the perpendicular line [tex]=[/tex] 0   .

the equation of the perpendicular line passing through (-2,5) and slope as 0  is

(y - 5) [tex]=[/tex] 0*(x + 2)

y -5 = 0

y = 5

Therefore , The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y =5  .

Learn more about Equation of Line here

brainly.com/question/28926898

#SPJ1

Given the following parameter

Mass of flour wheat flour = 1 1/2 kg

If Harry used 3/4 of these flour to bake bread, the amount of flour used is expressed as:

Convert the mixed fraction into an improper fraction to have:

This shows that Harry used 1 1/8kg of the wheat flour to bake the bread

Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods

The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.

The number of neighborhoods she can patrol can therefore be found by the formula:

= Number of hours sheriff has / Number of hours required to patrol one neighborhood

= 5/8 ÷ 3/15

= 5/8 x 15/ 3

= 75 / 24

= 3.125 neighborhoods

Find out more on sheriff patrols at https://brainly.com/question/12869716

#SPJ1

Answer:

-2 1/4 or 2.25

Step-by-step explanation:

i hope this helped and ita also self explanitory

The gambler in a Las Vegas casino lost $150.

According to the question,

We have the following details:

The visitor lost $200 and $50 in a Las Vegas casino.

The visitor won $100.

So, in total, the visitor lost $250 overall.

Now, compare the amount the gambler lost and the gambler won in the casino. So, we notice that the gambler lost more amount.

Now, we will find the total amount lost:

Gambler's net worth = The amount lost - the amount won

Gambler's net worth = $(250-100)

Gambler's net worth = $150

Hence, the gambler lost $150 overall in the casino.

To know more about gambler here

https://brainly.com/question/11435261

#SPJ1

The first tree is 28ft tall, and the second tree is 4 ft higher than the second one. Then we need to add 4ft to the height of the second tree:

The heigh of the first tree is 32ft

The rate of change of the distance between the police car and the truck after 10 minutes is approximately 193.66 m/s

The rate of change of a function is the rate at which the output of the function is changing with regards to the input.

The velocity of the police car = 160 km/h south

The velocity of the truck = 140 km/h east

Distance of the police car from Sioux Falls = 60 km north

Distance of the truck from Sioux Falls = 50 km east

Required;

The rate at which the distance between the vehicles is changing at t = 10 minutes

Solution;

Let d represent the distance between the vehicles, we have;

d² = x² + y²

Where;

x = The distance of the truck from Sioux falls

y = The distance of the police car from Sioux Falls

Which gives;

[tex] \displaystyle{ \frac{d}{dt} d^2= \frac{d}{dt}(x^{2}) +\frac{d}{dt} (y^{2}) }[/tex]

Which gives;

[tex] \displaystyle{ 2 \cdot d \cdot \frac{d}{dt} d=2 \cdot x \cdot \frac{dx}{dt} + 2 \cdot y \cdot\frac{dy}{dt} }[/tex]

After 10 minutes, we have;

y = 60 - (10/60)×160 = 100/3

x = 50 + (10/60)×140 = 220/3

d = √((100/3)² + (220/3)²) = 20•(√146)/3

[tex] \displaystyle{ \frac{d}{dt} d=\frac{2 \cdot x \cdot \frac{dx}{dt} + 2 \cdot y \cdot\frac{dy}{dt} }{2 \cdot d }}[/tex]

Which gives;

[tex] \displaystyle{ \frac{d}{dt} d= \frac{2 \times \frac{220}{3} \times 140 + 2 \times \frac{100}{3} \times 160}{2 \times \frac{20 \times \sqrt{146}}{3}}}[/tex]

[tex] \displaystyle{ \frac{2 \times \frac{220}{3} \times 140 + 2 \times \frac{100}{3} \times 160}{2 \times \frac{20 \times \sqrt{146}}{3}}\approx 193.66}[/tex]

Therefore;

[tex] \displaystyle{ \frac{d}{dt} d \approx 193.66}[/tex]

Learn more about rate of change of a function here:

https://brainly.com/question/24313700

#SPJ1

In the first one, the word increase means you will be add something

+42000

In the second one, the word withdrew means you will subtract something

-40

infinite numbers

Explanation

An Irrational Number is a real number that cannot be written as a simple fraction,for example Pi()

Step 1

between 0 an 6 we have 6 integers numbers :(1,2,3,4,5,6)

Step 2

Now check this

a number for example

so, the answer is infinite numbers

Answer:

C = 31.4159

A = 78.5398

Step-by-step explanation:

diameter = 10

radius = 5

plug into formula: C = 2π5

A = π * 5²

The word problem of the expression is "Seven eighths of a number less three and a quarter is less than 2"

The inequality expression is given as

1/4 + 3 - 7/8x < 2

From the above expression, we can see that:

The right-hand side of the inequality is 2 and the inequality symbol is less than

This means that the word problem must end in "less than 2"

Next, we analyse the left-hand side

1/4 + 3 - 7/8x

A statement that represents the above is

Seven eighths of a number less three and a quarter is less than 2

Read more about word problem at

https://brainly.com/question/21405634

#SPJ1

Actual area of the real back yard is 96 [tex]m^{2}[/tex]

[scale]=[drawing]/[real] —-> [real]=[drawing]/[scale]

scale=4 m/3 cm —> 0.75 cm/m

The backyard's measurements in the drawing are 9 x 6 cm.

Determine the backyard's actual dimensions

[Real]=[Drawing]/[Scale] for 9 cm

[real]=[9]/[0.75]——> 12 m

[Real]=[Drawing]/[Scale] for 6 cm

[real]=[6]/[0.75]——> 8 m

The backyard's actual measurements are 8 m × 12 m, and its actual size is 8 * 12 = 96 [tex]m^{2}[/tex].

Therefore the original area  of the rectangle  is 96 [tex]m^{2}[/tex].

Learn more about rectangles at

https://brainly.com/question/9248005

#SPJ1

The complete question is as follows:

Below is a scale representation of a piece of land. In the illustration, 3 cm stands in for 4 m. Find the actual backyard space assuming the back is rectangular?

7.-

Equation for Neil P = 80 + 3m

Equation for Barry P = 230 + 2m

8.-

Neil P = 80 + 3(100)

P = 80 + 300

P = $380

Barry P = 230 + 2(100)

P = 230 + 200

P = $430

10.-

P = 80 + 3m

P = 230 + 2m

80 + 3m = 230 + 2m

3m + 2m = 230 - 80

m = 150

The given number is,

302.658

to corrct to 2 decimal places,

302.66.

To find the next term of a geometric sequence, the previous term is multiplied by the common ratio r.

The value of the expression −|a + b|/2 − c when a =1 2/3 , b=−1 , and c=−3 is 8/3

From the question, the expression is given as

−|a + b|/2 − c

Also, we have the values of the variables to be

a =1 2/3 , b=−1 , and c=−3

Rewrite a as

a = 5/3

So, we substitute a = 5/3  b=−1 , and c=−3 in −|a + b|/2 − c

This gives

−|a + b|/2 − c  = −|5/3 - 1|/2 + 3

Evaluate the difference in the expression

−|a + b|/2 − c  = −|2/3|/2 + 3

Divide

−|a + b|/2 − c  = −|1/3| + 3

Remove the absolute bracket and solve

−|a + b|/2 − c  = 8/3

Hence, the solution is −|a + b|/2 − c  = 8/3

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

The required simplified value of the given expression is 8/3.

As per the given data, an expression −|a+b|/2−c is given when   a=1 2/3, b=−1, and c=−3 the value of the expression is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the solution be x,
x = −|a+b|/2−c
Substitute value in the above equation,
x = - |1 + 2 / 3 - 1|/2 - (-3)
x = -1/3 + 3
x = -1+9 / 3
x = 8/3

Thus, the required simplified value of the given expression is 8/3.

Learn more about expression here:

https://brainly.com/question/16804733

#SPJ1

Answer:

Step-by-step explanation:

Let the dimensions be:

The area of rectangle is:

The second value of h is negative and therefore discarded.

So we get:

Recall that to expand a binomial we can use the following formula:

The above is known as the square of the binomial.

Answer:

Square of binomial.