one 1000 loan charges 5% intrest at the end of each year, while a second loan charges 8% intrest at the end of the year

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

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 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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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:

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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Answer:The Fahrenheit (symbol: °F) is a unit of temperature that was widely used prior to metrication. It is currently defined by two fixed points: the temperature at which water freezes, 32°F, and the boiling point of water, 212°F, both at sea level and standard atmospheric pressure. The interval between the freezing and boiling point is divided into 180 equal parts.

Step-by-step explanation: HOPE THIS HELPS :)

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: 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 mathematical words describe (x−2) are term, factor, difference, constant, and  coefficient

An mathematical expression is a combination of numbers, symbols, and operations that represent a value or a relationship between values.

Mathematical words that describe (x−2) in the expression 4(x−2)+1 include:

Term: A term is a single number, variable, or the product of a number and one or more variables. In this expression, (x−2) is a term.

Factor: A factor is a number or algebraic expression that divides another number or expression without a remainder. In this expression, (x−2) is a factor, since 4 divides it without a remainder.

Difference: A difference is the result of subtracting one number or expression from another. In this expression, (x−2) is a difference, since it is the result of subtracting 2 from x.

Constant: A constant is a number or expression that has a fixed value. In this expression, (x−2) is a constant, since its value is fixed even when x changes.

Coefficient: A coefficient is a numerical factor that multiplies a variable. In this expression, 4 is the coefficient of (x−2).

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The equation:

x = y - 2/9

Does not show a direct variation.

A direct variation between two variables x and y can be written as:

y = k*x

Where k is a constant and it is called the constant of proportionality.

In this case, the given equation is:

x = y - 2/9

We can rewrite that as:

y = x + 2/9

Where you can see we have a constant term equal to 2/9, so no, this is not a direct variation, as in the direct variation there is no constant term.

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Answer:

Check the questions comments

Step-by-step explanation:

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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The average change per unit of time when the value of the function f(x) on the interval [4, 12] is shown in the table is 128/7, or 18.29.

Volumes and their variances, equations and parts, shapes and their placements, and locations where they can found are all included in the study of mathematics. The relationship between one group of stimuli, each of which has a related output, is referred to as a "function." A function is a relationship between the inputs and outputs where each input produces a single, unique result. Every function has a domain but a codomain, often known as a scope. F is typically used to signify functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, yet another functions, so several functions, within functions, and then on functions.

given

The slope of the line connecting the two locations represents the average rate of change.

The formula provides that information.

m = (y2 -y1)/(x2 -x1) (x2 -x1)

m = (251 -123)/(14 -7) = 128/7 = 18 2/7 ≈ 18.29

The average change per unit of time when the value of the function f(x) on the interval [4, 12] is shown in the table is 128/7, or 18.29.

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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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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°

The table with the correct values for A, B and C is given as follows:

Black 9 36 63 90

White 13 52 91 130

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Then the constant k is obtained as follows:

91 = 63k

k = 91/63

k = 13/9.

Hence the equation is:

y = 13x/9.

Hence the values are given as follows:

Hence the first table is correct.

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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.

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 volume of water in container B to the nearest tenth of a cubic unit is 20.1 cubic units

This talks about the quantity or the amount of water the container B can hold after container A has been emptied.

We should note here that the volume of water in container B is the same quantity of water in container A.

This implies that  Volume = πm(20)²(16)

Volume = 22/7 * 400 * 16

Volume = 140800/7

Therefore, the volume of water B can contain is 20.1 cubic units

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Complete question:

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of  20 feet and a height of 16 feet. Container B has a diameter of 18 feet and a height of  18feet. Container A is full of water and the water is pumped into Container B until Container A is empty. After the pumping is complete, what is the volume of water in container B to the nearest tenth of a cubic unit?

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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In a frequency table, the frequency at which each value appears in a data collection is used to summarise the data set.

In a frequency table, the frequency at which each value appears in a data collection is used to summarise the data set. The frequency of data over a number line is depicted on a graph called a line plot. Data that is arranged numerically is referred to as organised data.

A line plot is a graph that shows information as dots or checkmarks above a number line, indicating the frequency of each value. The line plot, for instance, displays the quantity of ribbons in this case, broken down by length. Line graphs and plots of lines are frequently mistaken. Compared to a line graph, a line plot is distinct.

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Answer:

B.CD

Step-by-step explanation:

they connect at

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