Find the cost of fencing a rectangular field,85 m long and 55 m wide at the rate of rupees 11/m

The equation that represents the given situation is; 10 + 2.25x = 39.25

The following are in the question;

One time donation = $10

Hourly donation = $2.25

Total donation = $39.25

Number of hours = x

Thus, the required equation is:

10 + 2.25x = 39.25

Solving for x:

Subtract 10 from both sides;

2.25x = 39.25 - 10

2.25x = 29.25

x = 29.25/2.25

x = 13

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Answer:

10/17

Step-by-step explanation:

if its given they got a B then that means you have to take how many females divided by the total number of people who got B's.

Therefore, 20/34.

Which can simplified to 10/17.

Answer: 6x - 40

Step-by-step explanation:

first you time 6 times x = 6x and you can't - 40 because you don't know what x is so 6x - 40  

The length of its radius is 2. 5 Inches

A circle can be described as a shape that consists of all the points in plane that are at a equidistance from a given point, which is the center.

The diameter of a circle is defined as  the length of the line that passes through the center and also touches two points on the equidistant edges of the circle.

It is represented with the letter, 'D'

Also, the radius of a circle is  defined as the distance from the center of the circle to any of the point on the circumference of that circle.

The formula for radius of a circle is expressed s;

Radius = Diameter/2

The,

Radius = 5/2

Radius = 2. 5 Inches

Thus, the value is 2. 5 Inches

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Answer:

the answer for 2 examples is in the picture

Answer:

the mistake is from the 5th line

from the 3rd line,

2x+8=30

therefore,

2x=30-8

2x=24

x=24/2

x=12

Answer:2x34=344343

Step-by-step explanation:32323=23=232

Answer:

Check the questions comments

Step-by-step explanation:

Answer:

m∠2 = 35° and m∠3 = 55°

Step-by-step explanation:

∠3 + ∠4 = 90° as shown with the square marking on the other side.

∠3 + 35° = 90°, 90°- 35° = ∠3

∠3 = 55°

∠1 = 90°, ∠3 = 55°, ∠2 = ?

A triangle's interior angles always add up to 180°.

90° + 55° + ? = 180°

145° + ? = 180°

? = 180° - 145°

? = 35°

Answer:

B.CD

Step-by-step explanation:

they connect at

The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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A function which could be the function graphed above "On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right" is: D. f(x) = √(x + 4).

In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of ordered pairs (data points) on both the horizontal and vertical lines of a cartesian coordinate, which indicates the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

This ultimately implies that, there are four (4) major types of quadrants in any graph and these include the following:

In this scenario, we would use an online graphing calculator to plot all of the given functions in order to determine the function that was graphed, which we can logically deduce that it is function f(x) = √(x + 4).

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Complete Question:

Which could be the function graphed below?

On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.

f(x) = √(x - 5) + 1

f(x) = √(x - 2)

f(x) = √x

f(x) = √(x + 4)

A practical formula for determining how much debt an individual or household should take on is known as the 28/36 rule

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The required equation of the line is y = -3x +11 which passes through the points (2, 5) and (5, -4)

The slope is simply expressed as an inclination of the line in the coordinate system.

Slope m = (y₂ - y₁) / (x₂ - x₁)

Given that the line that passes through two points (2, 5) and (5, -4)

Let x₁ = 2, y₁ = 5 and x₂ = 5, y₂ = -4

The required equation of the line is

y - y₁  = {(y₂ - y₁ )/( x₂ - x₁ )}( x - x₁ )

Substitute the values in the formula to get the slope of the line,

y - 5 = {(-4 - 5 )/( 5 - 2)}(x - 2)

y = {( -9 )/( 3 )}(x - 2) + 5

y = -3x + 6 + 5

y = -3x +11

Therefore, the required equation of the line is y = -3x +11

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The expression 4^[-2] × 8^[0] × 5^[6] can be written with positive exponents as follows 4^[2] × 8^[0] × 5^[6].

Exponent is the term used to describe a way to represent huge numbers using powers. In other words, the exponent describes how many times a number has been multiplied by itself. Law of Multiples: Exponents should be added while maintaining the same base when multiplying similar bases.

When bases are raised by a power of two or more, multiply the exponents while maintaining the original base.

Division Rule: When dividing like bases, take the exponent of the denominator and divide it by the exponent of the numerator, keeping the base constant.

The expression 4^[-2] × 8^[0] × 5^[6] can be written with positive exponents as follows:

4^[2] × 8^[0] × 5^[6]

The negative sign in the value 2 can be ignored because squaring a number yields a positive value irrespective of the sign of the value.

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Answer: 5^6/ 4^2 Question : Rewrite the expression 4^-2 x 8^0 x5^6 using only positive exponents.

Therefore , the solution of the given problem of linear equation comes out to be x= 2 and y=0.

A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Despite the fact because both y and x are distinct components, the previous sentence is frequently referred to it as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases. The equation for a solitary linear equation is Y=mx+b, where m stands for the elevation and b for the y-intercept. Y=mx+b, where m stands for slopes and b for the y-intercept, is how the equation is expressed.

Here,

Given :

=> y = 4x -8

=> 4y=4x−8 ​ or y = x -2

So,

=> y =4x-8

Thus,

=> 4x -8 = x-2

=> 3x =6

=> x =2

and

=> y = 8-8 =0

Therefore , the solution of the given problem of equation comes out to be x= 2 and y=0.

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The probability of the event that all three are blue is 1/455 or 0.0022

In probability theory, the probability of an event is a measure of the likelihood that the event will occur. It is a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be expressed as a decimal, a fraction, or a percentage.

Probability is used to quantify the uncertainty associated with a random event. It is based on the idea that if an experiment is repeated many times under the same conditions, the proportion of times the event of interest occurs will be close to the probability of that event.

The probability of an event can be calculated using the following formula:

Probability of an event = Number of favorable outcomes / Total number of possible outcomes

In this problem, we can define our variables.

Total number of possible outcomes = 15

P(All three are blue) = (3/15) * (2/14) * (1/13)

P(All three are blue) = 1/455

P(all three are blue) = 0.0022

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Answer:

D

Step-by-step explanation:

the area (A) of Δ CDE is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 8 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 8 × 6 = 4 × 6 = 24 cm²

Δ CDE and Δ ABCare similar ( AA postulate )

given the scale factor of 2 similar figures is k

then the factor of their areas is k²

here the scale factor k of the 2 triangles is the ratio of corresponding sides , Δ CBA to Δ CDE , then

k = [tex]\frac{AB}{CD}[/tex] = [tex]\frac{12}{8}[/tex] = 1.5

then the ratio of their area is 1.5² = 2.25

that is area of Δ ABC is 2.25 times area of Δ CDE

area o Δ ABC = 2.25 × 24 cm² = 54 cm²

then 54 cm² - 24 cm² = 30 cm²

Thus

area of Δ ABC is 30 cm² greater than Δ CDE

The range of the function for the given domain is the one in option D.

{0, 6, 12, 18, 24}

Here we want to find the range of the function:

f(x) = 12 - 3x

For the domain  {-4, -2, 0, 2, 4}

To find the range, we just need to evaluate the function f(x) on all the values of the domain, we will get:

f(-4) = 12 - 3*(-4) = 24

f(-2) = 12 - 3*-2 =  18

f(0) = 12  -3*0 = 12

f(2) = 12 - 3*2 = 6

f(4) = 12 - 3*4 = 0

So the range is just the set of these values {0, 6, 12, 18, 24}

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Answer:

D

Step-by-step explanation:

Graph D has a y intercept of 3 and a slope of 6.25

Answer:

D

Step-by-step explanation:

Let's say the number of adults who brought 3 children each is x. So the number of adults who brought 2 children each is 100-x.

Then the total number of children is 3x + 2(100-x) = 300 + x.

The total amount of money made from adults is 60 * 100 = 6000.

The total amount of money made from children is 30 * (300 + x) = 9000 + 30x.

So 6000 + 9000 + 30x = 25800

=> 15000 + 30x = 25800

=> 15000 = 25800 - 30x

=> 15000 = 25800 - 30x

=> 30x = 10800

=> x = 360

So the number of adults who brought 3 children each is 360 and the number of adults who brought 2 children each is 100-360 = -260 (which is not possible).

So the answer is D) None of these.

To solve the problem, set up equations using the given information. Substitute the value of one variable into the other equation to solve for both variables. Then use the values to find the number of children and adults.

To solve this problem, we can start by setting up equations based on the given information. Let's denote the number of adults as A and the number of children as C. We know that each adult brought either 3 children or 2 children, resulting in a total ticket sales of R25800.

So we can set up the following equation: 30C + 60A = 25800.

We also know that there were 100 adults. If each adult brought 3 children, then the total number of children would be 3 times the number of adults: C = 3A.

Substituting the value of C from the second equation into the first equation, we get 30(3A) + 60A = 25800. Solving this equation will give us the values of A and C.

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A graph of the solution to this system of inequalities on a coordinate plane is shown in the image attached below.

In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;

y > 2x + 4

x + y ≤ 6

Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (2/3, 16/3) or (0.667, 5.333)

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The probability that a car selected at chance is moving at more than 70mi/hr is 0.02

Normal usually refers to the word "normal" in a normal distribution.

The word normal is used when something occurs that has occurred frequently. The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from the mean, its chances decrease.

Since the speeds of cars are normally distributed, is expressed as

z = (x - µ)/σ

Where x = speeds of cars

µ = mean speed

σ = standard deviation

From the information given,

µ = 60 mi/hr

σ = 5 mi/hr

P(x < 70 )

For x = 70

z = (70 - 60)/5 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02

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Answer:

$ 140.00.

Step-by-step explanation:

I = $ 140.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

I = 1000 × 0.07 × 2 = 140

I = $ 140.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 7% per year

for 2 years is $ 140.00.