Which compound inequalitiy represents the inequality ly - 31 - 4 ≤-3?
O-1 sy-3 ORY-3 ≤ 1
Oy-3s-1 AND y - 3 ≥ 1
Oy-3s-1 OR Y - 3 ≥ 1
O-1 sy-3 AND y - 3 ≤ 1

The total number of peaches is given by the equation A = 25 peaches

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of peaches be represented as A

Now , the equation will be

The percentage of peaches that equals 7 peaches = 28 %

Substituting the values in the equation , we get

28 % of A = 7   be equation (1)

On simplifying the equation , we get

( 28 / 100 ) x A = 7

Multiply by 100 on both sides of the equation , we get

28A = 700

Divide by 28 on both sides of the equation , we get

A = 700/28

A = 25 peaches

Therefore , the value of A is 25 peaches

Hence , the number of peaches is 25 peaches

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To translate a horizontal graph, you need to adjust the x-axis. This can be done by shifting the graph to the left or right. Additionally, you can stretch or shrink the graph by adjusting the scale of the x-axis.

A horizontal graph is a type of graph that is used to represent data in a two-dimensional space. To translate a horizontal graph, you must adjust the x-axis. This can be done by shifting the graph to the left or right. Additionally, you can stretch or shrink the graph by adjusting the scale of the x-axis. This can be done by changing the number of points on the x-axis, or by making the intervals between points larger or smaller. When translating a graph, it is important to make sure that the y-axis remains unchanged as this will ensure that the data is accurately represented. Translating a horizontal graph is a useful way to compare and analyze data. It allows you to see how changes in one variable affect the other variables in the data set. It is also an essential skill for data analysis and is used in many different fields, such as finance and economics.

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Answer:

Hundreds place!

Step-by-step explanation:

Hope it helps! =D

The answer of seven times the quantity of three plus one is 24.

What is expression?

A finite combination of symbols that are well-formed in accordance with context-dependent rules is referred to as an expression or mathematical expression in mathematics.

A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math.

Consider, the given expression

"Seven times the quantity of three plus one."

"Three" means ' 3 '

"one" means ' 1 '

"the quantity three plus one" means  ' (3 + 1) '

"Seven times the quantity ..." means  ' 7(3  + 1)'

That's the expression.

One of the rules for handling these things is that you should always

take care of anything inside parentheses first.  So do that.

(3 + 1)  =  4

Now you can can write the expression like this:    ' 7(4) ' .

That's just  24.

Hence, the answer of seven times the quantity of three plus one is 24.

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After solving, the value of [tex]log_{7}[/tex](49) is 2.

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

The value of [tex]log_{7}[/tex](49) is 2.

[tex]log_{7}[/tex](49)=x

To find the value of the expression the formula is:

1) log([tex]a^n[/tex])=nlog(a)

2) [tex]log_{a}[/tex](a)=1

Step1:Rewrite in exponential form first.

[tex]log_{7}[/tex](49)=[tex]log_{7}(7^2)[/tex]Use the log rule log [tex]a^x[/tex] = x log a

[tex]log_{7}[/tex](49)=2[tex]log_{7}[/tex](7)

Using [tex]log_{a}[/tex](a) = 1

[tex]log_{7}[/tex](49)=2*1

[tex]log_{7}[/tex](49)=2

The value of [tex]log_{7}[/tex](49) is 2.

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30 such passwords are possible.

6 choices for the 1st, then 5 choices for the 2nd,

The first two are alphanumeric, and the latter three are numbers.

There are 26 letters.

Ten digits are present.

There are no repetitions among the two available letters. However, it is irrelevant which sequence they are in. He can choose from 2x4x3, or 24 distinct passwords. so: 6*5=30

or  nPk=n!/(n-k)!  with n=6 and k=2

Consequently, the total number of passwords that can be created while still adhering to the limitations set

so: 6*5=30

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Answer:

height of the cone is 25 cm.

Step-by-step explanation:

by using the formulas for the surface area of a cylinder and a cone to find the total surface area of the solid object.

The formula for the surface area of a cylinder is 2πr(r+h) where r is the radius and h is the height.

The formula for the surface area of a cone is πr(r+l) where r is the radius and l is the slant height.

Let's assume that the radius of the cylinder and cone is 'r'.

Now we know that :

2πr(r+30) + πr(r+l) = Total surface area

We are given that the cost of painting the total surface area is Rs. 3036 at the rate of Rs. 150 per 100 sq cm. So we can use this information to find the total surface area.

3036*100/150 = 2022 sq cm

Now we can substitute this value of total surface area in the above equation.

2πr(r+30) + πr(r+l) = 2022

Now we can solve for 'l' (slant height of the cone)

we know that the slant height of the cone is 25 cm so we can substitute this value in the above equation.

2πr(r+30) + πr(r+25) = 2022

Solving this equation, we get the height of the cone = 25 cm.

So the height of the cone is 25 cm.

The distance between point M and point N is 13 units.

What is the distance formula?

Using their coordinates, an algebraic expression provides the distances between two places (see coordinate system). The distance formulas for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.

Here, we have

Given: M is located at (-6,5) and point N is located at (7,5).

If we know that M(x,y) = (-6,5)  and N(x,y) = (7,5), then the distance between point M and point N is:

MN = [tex]\sqrt{(7-(-6))^2+(5-5)^2}[/tex]

MN = 13

Hence,  the distance between point M and point N is 13 units.

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Step-by-step explanation:

All the explanation in the photo

1. An equation that can be used to calculate the length and width of the garden,  l = 2w + 5 and 2l + 2w = 61

2. Length = 22

    Width =  51/6

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

The perimeter of the garden = 61 feet

The length is 5 more than the twice of width

Suppose,

length = l

width  = w

According to given condition,

l = 2w + 5

Perimeter = l + w + l + w

                 =  61

2l + 2w = 61       _______(i)

By putting value of l in the equation (i)

⇒ 2( 2w + 5 ) + 2w = 61

⇒ 4w + 10 + 2w = 61

⇒  6w + 10 = 61

⇒  w = 51/6

By putting value w in the equation (i)

2l + 2×51/6 = 61  

2l   = 61 - 17

l = 22

Hence, the length and width of the garden are respectively, 22 & 51/6

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An equation's solution is a value for a variable that, when added to the equation, produces a true statement.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. A mathematical sentence with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

A value for a variable that, when added to the equation, results in a true statement is the solution of an equation.

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Answer: The triangle inequality states that each side of a triangle must be shorter than the sum of 2 other sides.

Step-by-step explanation: Please make me Brainliest.

The two equations are 150 + 5w and 45 + 20w.

In 7 weeks they will have the same amount of $225 and in terms of ordered pairs, it is (7, 225).

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Let, the number of weeks be 'w'.

Therefore, From the given information the two equations can be formed as,

150 + 5w and 45 + 20w.

Now, The number of weeks required when they'll have the same amount of money can be obtained if we equate these two equations.

150 + 5w = 45 + 20w.

5w - 20w = 45 - 150.

- 15w = - 105.

w = 105/15.

w = 7 weeks.

They will have 150 + 5×15 = 150 + 75 = 225 each in terms of ordered pairs (7, 225).

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There are 7 ounces of applesauce in each container

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Let x represent the quantity of Newton applesauce

Descartes makes 72.5 ounces of applesauce, which is 2.5 times of Newtons, hence:

2.5x = 72.5

x = 29 ounce

Newton eats 8 ounces, hence:

Remaining = 29 - 8 = 21 ounces

The remaining is placed into 3 containers. If y represent the amount per container:

3y = 21

y = 7 ounces

There are 7 ounces in each container

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To find the domain and range of a log graph, identify the x- and y-intercepts, determine the asymptotes, if any, and identify the intervals between the asymptotes and intercepts. The domain and range of the graph are the union of all of these intervals.

To find the domain and range of a log graph, identify the x- and y-intercepts, determine the asymptotes, if any, and identify the intervals between the asymptotes and intercepts. The domain and range of the graph are the union of all of these intervals.The domain of a log graph is the set of all possible x-values and the range is the set of all possible y-values. To find the domain and range of a log graph, first identify the x- and y-intercepts. Then, determine the asymptotes of the graph, if any. Finally, determine the intervals of the graph, which are the areas of the graph between the asymptotes and the intercepts. The domain and range of the graph are then the union of all of these intervals.

To find the domain and range of a log graph, identify the x- and y-intercepts, determine the asymptotes, if any, and identify the intervals between the asymptotes and intercepts. The domain and range of the graph are the union of all of these intervals.

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The first 10 terms sum in the geometric series is 5115.

The first term of geometric series = 5

Common ratio = 2

First, let us discuss how to calculate the sum of n terms of GP. Assume the sum of the first n terms of a GP with first term a and common ratio r. Then the first 'n' terms of GP are of form a, ar, ar², ... ar^(n-1). Let S be the sum of the GP of n terms. Then:

Sₙ = a + ar + ar² + ... + ar^(n-1) ... (1)

Multiply both sides by r:

rSₙ = ar + ar² + ... + arⁿ ... (2)

Subtracting equation (1) from equation (2):

rSₙ - Sₙ = (ar + ar² + ... + arⁿ) - [a + ar + ar² + ... + ar^(n-1)]

Sₙ (r - 1) = arⁿ - a

Sₙ (r - 1) = a(rⁿ - 1)

Sₙ = a(rⁿ - 1)/(r - 1)

Note that, here, r ≠ 1.

Sₙ = -a(1 - rⁿ)/(-(1 - r)) = a(1 - rⁿ)/(1 - r).

Sₙ = a[1-rⁿ]/[1-r]

S₁₀ = 5[1-2¹⁰]/[1-2]

S₁₀ = 5[1023]

S₁₀ = 5,115

--The given question is incorrect, the correct question is

"The first term in a geometric series is 5 and the common ratio is 2. Find the sum of the first 10 terms in the series."--

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The exact value of tangent of theta in simplest radical form is -4/3

The coordinates (3, -4) represent a point on the Cartesian plane, and if the terminal side of the angle θ passes through this point, then we can use the coordinates to find the exact value of tangent of theta.

To find the tangent of theta, we can use the formula:

tangent of theta = y/x = -4/3

The tangent of theta is -4/3, but it is not in the simplest radical form.

To simplify it, we can divide both numerator and denominator by their greatest common factor which is 1, so the simplified form will be -4/3

Therefore, the exact value of tangent of theta in simplest radical form is -4/3

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Robbie Knievel, a daredevil stuntman, passed away on Friday morning, 13 january 2023 at the age of 60.

He was battling pancreatic cancer, which, according to the American Cancer Society, accounts for around 3% of all cancers but about 7% of all cancer fatalities in the U.S. He was in a hospice in Reno, Nevada. Because the pancreas is hidden deep inside your abdomen, where it cannot be seen in selfies, the diagnosis of pancreatic cancer is frequently delayed. Therefore, the tragic news of Knievel's departure presents a chance to spread greater awareness of this terrible sickness, which will likely claim the lives of over 50,000 individuals once more in 2023.

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The place value of zero in any numeral is always zero. Zero May have any place in a number, but its value will remain to be zero. In numbers having zeros such as 105, 350, 42017, and 90218, the place value of 0 in each number is 0.

(0)zero is a number, and the numerical digit is utilised to represent the number in any numerals. It meets a major function in mathematics such as it plays the role of the additive identity of real numbers, integers, and many other algebraic systems. As a number, 0 is used as a placeholder in place value systems.

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Therefore , the solution of the given problem of slope intercept comes out to be  y = 2x + 10

In mathematics, the inflection point is where the line's slope intersects the y-axis. a point on a line or curve where the y-axis crosses. The equations for the long line is given as Y = mx+c, wherein m denotes the inclination and c the y-intercept. In the intercept form of the equation, the line's slope (m) and y-intercept (b) are highlighted. The slope and y-intercept of an equation with the intercepting form (y=mx+b) are m and b, respectively. There are several equations that can be rewritten to appear to be gradient intercepts.

Here,

To obtain the line orthogonal to y=2x3,

determine the negative inverse of slope of the original version and

employ the point-slope formula: y-y1=m(x-x1).

So,

Point(-5,3)

Thus, Putting value in the given formula:

=> y -3 = 2(x-(-5)) -3

=> y- 3 = 2x +10 -3

=> y = 2x + 10

Therefore , the solution of the given problem of slope intercept comes out to be  y = 2x + 10

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Answer:

x = 5.132 cm

Step-by-step explanation:

We are given a right triangle and are asked to find a missing side length, x.

To find a missing side length in a right triangle, we often use the Pythagoras theorem.

However, we need at least two known side lengths to use the Pythagoras theorem.

So, what do we do?

We use trigonometric functions.

⭐What are trigonometric functions?

⭐The trigonometric functions

To find out which trigonometric function we use, we have to look at the types of side lengths we are given (opposite, hypotenuse, or adjacent).

We are given a side length with a measure of 6.8 cm, which is the hypotenuse of the triangle.

We are also given a side length with a measure of x cm (we want to solve for x), which is adjacent to the 41 degrees.

Thus, we will use cos(θ).

First, substitute the side lengths and angle measures we are given/want to solve for.

cos(θ) = adjacent/hypotenuse

cos(41) = x/6.8

Next, multiply both sides of the equation by 6.8 to isolate x, as we want to solve for x.

6.8cos(41) = x

Finally, compute using a scientific calculator.

6.8cos(41) = 5.132025146 cm

Make sure to round to 3 significant figures.

∴ 6.8cos(41) = 5.132 cm

⭐if this response helped you, please mark it the "brainliest"!⭐

Answer:

V=-3

W=4

Step-by-step explanation:

-v + w = 7

v + w = 1

[tex]\space \space [/tex]2w=8

[tex]\space \space [/tex]w=8/2

[tex]\space \space [/tex]w=4

[tex]\space \space [/tex]

-v+w=7

-v+4=7

-v=7-4

-v=3

(-1)-v=(-1)3

V=-3

[tex]\space [/tex]

.....

The solution set to the inequality is x >= -5/6.

Inequality is a relationship between two expressions or values that are not equal to each other. It is used most often to compare two numbers on the number line by their size.

To solve this inequality, we can start by expanding both sides of the inequality:

-1.5(4x + 1) <= 4.5 - 2.5(x + 1)

-6x - 1.5 <= 4.5 - 2.5x - 2.5

-6x - 1.5 <= 2 - 2.5x

Next, we'll isolate the x terms on one side of the inequality and the constant terms on the other side:

-6x <= 3.5 + 1.5x

-6x <= 5

-6x/6 <= 5/6

And finally, we'll divide both sides of the inequality by -6 to find the solution set:

x >= -5/6

Therefore, The solution set to the inequality is x >= -5/6.

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The number of more games that Lucy sells than Finley will be 28 games.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Mathew, Lucy, and Finley sold a total of 56 games at a car boot sale. The ratio of games that they each sold is 2:5:1.

Let 'x' be the common factor. Then the equation is given as,

2x + 5x + 1x = 56

8x = 56

x = 7

Then the number of more games that Lucy sells than Finley will be given as,

⇒ 5 × 7 - 1 × 7

⇒ 35 - 7

⇒ 28

The number of more games that Lucy sells than Finley will be 28 games.

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-6a² + 4a² + 3 is the quotient of the given expression: (36a⁴- 24a⁴ - 18a²) ÷ (-6a²).

It is known as the quotient to divide two integers. The dividend is the quantity being divided, and the divisor is the quantity being divided. The quotient is the outcome of the division.

The sum is the result of multiplying two or more numbers together. The difference is determined by the result of subtracting the two values. The result of multiplying two or more integers is what is known as the product. The quotient is what remains after dividing two numbers.

Given that,

= (36a⁴- 24a⁴ - 18a²) ÷ (-6a²)

= - 6a² + 4a² + 3

thus, -6a² + 4a² + 3 is the quotient of the above expression.

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Shortest length of ramp that can be built to reach a ledge .83 meters from the ground is 8.333 meters, according to the ADA standards.

What is Shortest length?

Shortest length is the shortest distance measured from one end to the other.

According to the ADA standard, the maximum slope for a wheelchair-accessible ramp is one unit vertically for every twelve horizontal units. To find the length of the ramp needed to reach a height of .83 meters, we can use the formula:

rise / slope = run

Where:

rise = the vertical distance to be covered (in this case, .83 meters)

slope = the maximum allowed slope (1:12, or 1/12)

So we can plug in the values we know:

.83 meters / (1/12) = run

To find the length of the ramp, we need to multiply the run by the slope:

run * slope = ramp length

Therefore, the length of the ramp is:

run * (1/12) = (run/12) meters = (10/12) = 8.333 meters.

So, the shortest length of ramp that can be built to reach a ledge .83 meters from the ground is 8.333 meters, according to the ADA standards.

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Answer: $20.25

Step-by-step explanation:

1. First you need to find the discount

  -multiply .55 (55%) by 45 to get 24.75

2. Then subtract the discount from the actual price

  - 45-24.75=20.25.

                             So then you get the answer, $20.25