Carter is a salesperson who sells computers at an electronics store.
He gets paid a base pay amount each day and a commission for every computer sale he makes.
Carter's total pay on a day depends on the number of computers he sells, represented by x.
The relationship between x and Carter's total pay, represented by P, is linear.
linear means the graph is a straight line, not a curve
A table with select values of x and P is given.
The task is to determine Carter's base pay regardless of computer sales.
Table of select values of x and P:
x P
0 30
1 40
2 50
3 60
4 70
5 80
To determine Carter's base pay, we need to identify the amount he earns when he doesn't sell any computers, represented by x = 0. Looking at the table, we see that when x = 0, Carter's total pay is $30. Therefore, his base pay is $30.
ChatGPT
Curriculum which addresses learning goals across multiple subjects areas at the same time known as
A curriculum is said to as "integrated" when it simultaneously targets learning objectives across different topic areas.
Explain about the integrated curriculum?Children can pursue learning holistically with an integrated curriculum, free from the limitations frequently imposed by topic boundaries.
Early childhood programs have a strong emphasis on how all subject areas relate to one another and how they all work together to give kids fundamental learning skills. It acknowledges that reading, writing, thinking, speaking, literature, drama, world history, integrated maths ,science, health, sport science, music, and creative arts are all part of the primary school curriculum.Moreover, technology and investigative techniques are included in the curriculum. Integration recognizes and strengthens the connections that exist among the things. A curriculum that is integrated involves learning that is synthesised across conventional topic areas and learning experiences that are intended to reinforce one another.Know more about the curriculum
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Which expression shows The product of a number and thirteen.
A. 13n
B. 13 + n
C. n - 13
Answer:
a. 13n
Step-by-step explanation:
product signifies multiplication and 13n=13xn
a. 13
FG F, G, with, \overleftrightarrow, on top and \overleftrightarrow{HI} HI H, I, with, \overleftrightarrow, on top are parallel lines. m\angle IFG=60\degreem∠IFG=60°m, angle, I, F, G, equals, 60, degree. Alfred was asked to find the measure of angle xxx and explain his reasoning. Vertical Parallel lines G F and H J. There is an intersecting line that runs diagonally up and right through points F and I. Point I lies on line J K and Point K lies on the transversal. The transversal line creates several angles. Angle J I K is labeled x, and Angle G F I is sixty degrees. Angles G F I and J I K are both in the top right with angle G F J being interior and J I K being exterior. Vertical Parallel lines G F and H J. There is an intersecting line that runs diagonally up and right through points F and I. Point I lies on line J K and Point K lies on the transversal. The transversal line creates several angles. Angle J I K is labeled x, and Angle G F I is sixty degrees. Angles G F I and J I K are both in the top right with angle G F J being interior and J I K being exterior. Fill in the blanks in Alfred's solution. If we perform a translation along the directed line segment IFIFI, F, the following will happen: Line \overleftrightarrow{HI} HI H, I, with, \overleftrightarrow, on top maps onto . Line \overrightarrow{IF} IF I, F, with, \overrightarrow, on top maps onto . Therefore, the image of angle xxx will be exactly where the pre-image of was. Since translations preserve angle measure, the measure of angle xxx must be 60\degree60°60, degree.
After answering the presented question, we can conclude that then used expression the fact that translations retain angle measure to conclude that the measure of angle is preserved by translations [tex]$x$ is $60^\circ$.[/tex]
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is formed as follows: Expression, number, and math operator Numbers, parameters, and functions make up a mathematical expression. It is possible to contrast phrases and expressions.
Alfred's solution appears to be partial, as some gaps remain to be filled. Here's Alfred's solution in its entirety:
"If we translate along the directed line segment[tex]$\overrightarrow{IF}$, the following will happen: Line $\overleftrightarrow{HI}$ maps onto line $\overleftrightarrow{IJ}$ and line $\overrightarrow{IF}$ maps onto line $\overrightarrow{FI}$. Therefore, the image of angle $x$ will be exactly where the pre-image of angle $GFI$ was. Since translations preserve angle measure, the measure of angle $x$ must be $\boxed{60^\circ}$."[/tex]
In summary, Alfred utilised the translation property to map the given lines and angles onto their pictures, and then used the fact that translations retain angle measure to conclude that the measure of angle is preserved by translations [tex]$x$ is $60^\circ$.[/tex]
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Answer:
Step-by-step explanation:
Fill in the blanks in Alfred's solution.
If we perform a translation along the directed line segment IF, the following will happen:
- Line HI maps onto line FG.
- Line IF maps onto itself.
Therefore, the image of angle x will be exactly where the pre-image of angle IFG was. Since translation preserve angle measure, the measure of angle x must be 60º.
Use your line plot to answer the question below.
How much more white paint was on the palette with the most white paint than on the palette with the least white paint?
Write your answer as a fraction, mixed number, or whole number.
There are 3/8 more white paint on the palette of the highest than the least
What is a line plot?A line plot is a type of graph or simple data visualization tool that uses dots to represent individual data points along a numerical axis.
How to determine how much more white paint was on the paletteFrom the question, we have the following parameters that can be used in our computation:
The line plot
On the line plot, we have
Most white paint = 3/4
Least white paint = 3/8
Calculate the difference between both so, we have
Amount = 3/4 - 3/8
Evaluate
Amount = 3/8
Hence, the amount is 3/8
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Can someone help me figure out how to do this? What’s the answer?
The different circumferences to go from the start to the finish are 21.98, 31.4, 37.68, and 65.94.
How to calculate the circumference?One of the ways of calculating the circumference is using the diameter of a circle (distance from one side to the next one) and applying the formula circumference = diameter x [tex]\pi[/tex]. Now, let's calculate the circumference.
7 x 3.14 = 21.9810 x 3.14 = 31.412 x 3.14 = 37.6821 x 3.14 = 65.9442 x 3.14 = 131.8813 x 2 (radius to diameter ) x 3.14 = 81.647.25 x 2 (radius to diameter) x 3.14 = 45.533.4 x 3.14 = 10.67650 x 3.14 = 1572.24 x 3.14 = 7.032.1 x 2 (radius to diameter ) x 3.14 = 13.189.5x 2 (radius to diameter ) x 3.14 = 59.66FinishLearn more about the circunference in https://brainly.com/question/30023353
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EASY MATH POINTS!
Answer from the screenshot.
There are initially 150 pharaoh ants in Southeast Asia, and every year the population increases by 950,000 ants.
Define the rate of change and initial value of the function.The rate of change of a function refers to how much the output of the function changes with respect to changes in its input, typically expressed as the derivative of the function.
The initial value of a function refers to the value of the function at a specific point in its domain, often denoted as f(0) or f(x_0) for some value x_0 in the domain. It is called "initial" because it is usually the starting point for analyzing the behavior of the function over a range of inputs.
The given function is y=-150x+950,000, where x represents time in years and y represents the total population of pharaoh ants in Southeast Asia.
The initial value of the function is the y-intercept, which is 950,000. This means that at the beginning of the observation period (when x=0), there are 950,000 pharaoh ants in Southeast Asia.
The rate of change of the function is the coefficient of x, which is -150. This means that every year, the population decreases by 150,000 ants. Therefore, option A is correct because it states that the population decreases every year by 150,000 ants, which is the same as -150 multiplied by 1,000.
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the solution to a system of linear equations is (0,4) one of the linear equations in the system is Y=8x+4
please help me i need a big help it is very cunfuseing
Answer:
the answer is C.
Step-by-step explanation:
Put both equations in the slope intercept form of the line and then graph to estimate where the lines cross.
y = mx + b
7x - y = 7 The 7x is on the wrong side of the equal sign, so subtract 7x from both sides of the equation
7x - 7x -y = -7x + 7
-y = -7x + 7 We want the equation to start y = , not -y =. so divide all the way through by -1
[tex]\frac{-1y}{-1}[/tex] = [tex]\frac{-7x}{-1}[/tex] + [tex]\frac{7}{-1}[/tex]
y = 7x - 7
x + 2y = 6 The x is on the wrong side of the equal sign. Subtract x from both sides
x -x + 2y = -x + 6
2y = -x + 6 Divide all the way through by 2
[tex]\frac{2y}{2}[/tex] = [tex]\frac{-1}{2}[/tex]x + [tex]\frac{6}{2}[/tex]
y = [tex]\frac{-1}{2}[/tex] x + 3
You can see from the graph attached where the lines cross.
Helping in the name of Jesus.
help me please i got 5849.82 but thats not on there
Answer: 1863[tex]\pi[/tex] cm^3 (option C)
Step-by-step explanation:
The volume is given by the equation
[tex]V=\pi r^2h[/tex]
Just placing the values:
[tex]V=\pi (9)^2(23)[/tex]
Notice the pi is left over, so just get the 9^2*23=1863
So the answer for the volume is 1863[tex]\pi[/tex] in cm^3
So your answer is just fine, 5849. Just notice the pi is not in it.
p^2/4+ Q^2/9+36+pq/3+4q+6p
Answer:
The given expression is:
p^2 + 4q^2 + 9 + 36 + pq + 3 + 4q + 6p
Rearranging the terms, we get:
p^2 + 6p + 4q^2 + pq + 4q + 48
Now, we can group the first three terms and the last three terms together as follows:
(p^2 + 6p + 9) + (4q^2 + pq + 4q + 39)
The first group can be factorized as a perfect square trinomial:
(p + 3)^2
The second group can be factorized by grouping the first two terms and the last two terms:
(pq + 4q) + (4q^2 + 39)
We can factor out q from the first two terms, and 4 from the last two terms:
q(p + 4) + 4( q^2 + 9)
Now, we can factor the second group as a sum of squares:
q(p + 4) + 4(q + 3)(q - 3)
Therefore, the fully factorized form of the expression is:
(p + 3)^2 + q(p + 4) + 4(q + 3)(q - 3) + 48
Note that this expression cannot be simplified further.
What is the parent function of the following graph?
Answer:
B. F(x)=x^5
Step-by-step explanation:
What is 100th term of 5, 12, 19, 26
Answer:
698
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
n is the term that I want.
[tex]a_{1}[/tex] is the first term.
d is the common difference. In this case 7. Seven is the number that the series is increasing every term
[tex]a_{100}[/tex] = 5 + (100-1)7
[tex]a_{100}[/tex] = 5 + (99)7
[tex]a_{100}[/tex] = 5 + 693
[tex]a_{100}[/tex] = 698
Helping in the name of Jesus.
A right triangle is drawn on a coordinate plane. Two vertices of the triangle are points A(−2,4) and B(3,−2). The third vertex of the triangle is point C, which lies in the third quadrant of the coordinate plane.
What is the distance from point A to point C?
_____________________________________
(giving brainliest to correct answer)
(reporting spams/wrong answers)
_____________________________________
Answer:
6
Step-by-step explanation:
This is a right triangle, so the point is C(-2, -2), so 2+4=6
A random sample of size 100 is taken from a population described by the proportion p = 0.60.
The probability that the sample proportion is between 0.55 and 0.62 is ______.
The probability that the sample proportion is between 0.55 and 0.62 is 0.7962.
What is Probability?Probability is the measure of how likely an event is to occur out of the total number of possible outcomes. It is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. Probability is used to describe random events, such as the toss of a coin or the role of a die, as well as more complex events, such as the weather, stock market performance, and the success of a political candidate. A probability of 0.5, for example, means that there is a 50% chance that the event will occur.
This is calculated using the binomial probability formula, which is the probability of a certain outcome of a series of independent binary events. According to the formula, the probability of the sample proportion being between 0.55 and 0.62 is the sum of the individual binomial probabilities for each outcome within the range of 0.55 and 0.62. This is calculated as the sum of the binomial probabilities for each outcome (where p = 0.60): P(x=55) + P(x=56) + P(x=57) + P(x=58) + P(x=59) + P(x=60) + P(x=61) + P(x=62). The result is 0.7962.
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Which transformation would take Figure A to Figure B?
Answer: B, a counterclockwise rotation of 270 degrees about the origin.
100pts for who answers all 3 questions.
1. The surface area of the pyramid is 115 cm²
(a) The area of the four triangles is 90 cm²
(b) The area of the square is 25 cm²
(c) The total surface area of the pyramid is 115 cm².
How to calculate the surface area of a pyramid?To calculate the surface area of the pyramid, we use the formula below.
Formula:
A' = l²+[(4l)L)/2.......................... Equation 1Where:
A' = Surface area of the pyramidl = length of the baseL = Slight height of the pyramidFrom the question,
Given:
L = 9 cml = 5 cmSubstitute these values into equation 1
A' = 5²+[4×5×9)/2A' = 115 cm²(a) To find the area of the 4 triangles, we use the formula below
At = 2bh..................... Equation 2Where:
At = Area of the 4 trianglesb = Base of the triangleh = Height of the triangleFrom the diagram,
Given:
b = 5 cmh = 9 cmSubstitute these values into equation 2
At = 2×5×9At = 90 cm²(b) To find the area of the square, we use the formula below
As = b²Where:
b = 5 cmSubstitute these values into equation
As = 5²As = 25 cm²(c) To find the total surface area of the pyramid, we use the formula
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ax^2-3x=0 if A is not equal to 0 (zero)
Hence, in response to the provided question, we can say that Hence, the solutions to the equation [tex]Ax^2 - 3x = 0 are x = 0 and x = 3/A.[/tex]
What is equation?An algebraic equation is a method of connecting two quotes by using the equals symbol (=) to express equality. In algebra, an explanation is a definitive expression that verifies the equivalency of two formula. For example, the identical character divides the numbers 3x + 5 and 14. A linear equation might be used to recognize the connection that existing between the texts written on separate sides of a letter. The product and application both frequently the same. 2x - 4 equals 2, for example.
We can factor out x to get the answer to the equation Ax2 - 3x = 0.
x(Ax - 3) = 0
We can set each factor to zero and solve for x because the product of two factors is zero if and only if one or both of the factors are zero.
x = 0 or Ax - 3 = 0
If A is greater than zero, we can solve the second equation for x by adding 3 to both sides and dividing by A:
[tex]Ax-3 = 0 Ax-3 = 3 x = 3/A[/tex]
Hence, the solutions to the equation[tex]Ax^2 - 3x = 0 are x = 0 and x = 3/A.[/tex]
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The solution for the equation ax² - 3x = 0 are x = 0 and x = 3/a.
Equation: What is it?The equals sign (=), which expresses equality, is a way to join two quotes in an algebraic equation. An explanation in algebra is a conclusive phrase that confirms the similarity of two formulas. The same letter, for instance, divides the integers 3x + 5 and 14.
The relationship between the texts written on the different sides of a letter can be determined using a linear equation. Products and applications are usually interchangeable. In this case, 2x - 4 equals 2.
From the question,
We can factor out x to get the answer to the equation ax² - 3x = 0.
x (ax - 3) = 0
The product of two factors is zero if and only if one or both of the factors are zero, thus we can set each element to zero and find x.
x = 0 or ax - 3 = 0
By adding 3 to both sides and dividing by a, we may solve the second equation for x if a is greater zero:
ax = 3
⇒ x = 3/a
Therefore, the solutions of the equation are x = 0 and x = 3/a.
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If the angle 405° rotates 180° clockwise, what is the new measurement of the co-terminal angle?
___°
Answer: I believe the answer would be 130°
Step-by-step explanation:
Answer:
The angle A will remain the same irrespective of their rotation so it will be 130°.
Step-by-step explanation:
MARK ME BRAINLIST!Say you have an image that is 128 pixels wide, by 128 pixels high, and it is represented by a one-dimensional array of 32-Bit integers. (Each integer contains the RGBA information for one pixel). If the pixels are arranged in row-major order (that is, the top row of pixels takes up array indices 0…127, the second row down is in 128… 255, and so on) then what is the index of the pixel at x=15, y=22 (y=0 at the top)?
Answer:
2831
Step-by-step explanation:
You want the index of the pixel at (x, y) = (15, 22) in a 128×128 array, if the pixel at (0, 0) has index 0, and the pixel at (0, 1) has index 128.
IndexThe index increase by 128 for each additional row (y-value), so the index of pixel (x, y) is ...
i = x +128y
The index for pixel (15, 22) is ...
i = 15 +128·22 = 15 +2816
i = 2831 . . . . . index of pixel (15, 22)
Can someone help me with this
Answer:
∠3 = 100°
∠2 = ∠4 = 80°
Step-by-step explanation:
You want the measures of the four angles where lines m and n cross, given that obtuse angle 1 is 100°.
Vertical anglesVertical angles 1 and 3 are congruent.
∠3 = 100°
Linear pairAdjacent angles of a linear pair are supplementary:
∠2 = ∠4 = 180° -100°
∠2 = ∠4 = 80°
__
Additional comment
Angles 2 and 4 are also vertical angles, congruent to each other.
The diagonals of a square are 15 cm. Find the perimeter of the square
Answer:60
Step-by-step explanation:
Russell can buy 6 dinners with salads for $114. What is the cost of 6 dinners without any sides?
Use the drop-down menu to show the correct answer.
The cost of one dinner without any sides is $2, and the cost of 6 dinners without any sides is 6 times that amount, which is $12. Answer: $12.
What is equation?An equation is a statement that asserts the equality of two expressions. Equations typically contain one or more variables, which are quantities that can take on different values. The goal of solving an equation is to find the values of the variables that make the equation true.Equations can take many different forms, but some common types include linear equations, quadratic equations, polynomial equations, and exponential equations.
What is expression?An expression is a combination of numbers, variables, and mathematical operations that represents a value. Expressions can contain constants, variables, and operators, such as addition, subtraction, multiplication, and division.
In the given question,
There are different ways to approach this problem, but one possible method is to use ratios. Let's assume that the cost of a dinner without any sides is x dollars. Then, the cost of a dinner with salad is x plus some additional amount for the salad, which we don't know yet. Let's call this additional amount y dollars. Therefore, the cost of a dinner with salad is x + y dollars.
According to the problem, Russell can buy 6 dinners with salads for $114. This means that the total cost of 6 dinners with salads is $114. We can write this as an equation: 6(x + y) = 114
Simplifying this equation, we get: 6x + 6y = 114
Dividing both sides by 6, we obtain: x + y = 19
Now we need to find the cost of 6 dinners without any sides, which is 6 times the cost of a dinner without any sides. We already know that the cost of one dinner without any sides is x dollars, so the cost of 6 dinners without any sides is 6x dollars.
To find x, we can use the fact that x + y = 19, which we derived from the given information. We don't know y, but we can express it in terms of x by using the fraction of the salad price to the total price of a dinner with salad. From the long division, we have:
2x - 3
x + 1
This means that y is equal to the remainder of the division, which is -3/(x+1). Therefore, we have: y = -3/(x+1)
Now we can substitute this expression for y into the equation x + y = 19:
x - 3/(x+1) = 19
Multiplying both sides by x+1, we get: x(x+1) - 3 = 19(x+1)
Expanding the products and simplifying, we obtain a quadratic equation:
x^2 + 18x - 22 = 0
We can solve this equation by using the quadratic formula:
x = (-18 ± √(18^2 + 4122)) / (2*1)
x = (-18 ± √(400)) / 2
x = (-18 ± 20) / 2
x = -9 or x = 2
Since we are interested in the cost of a dinner without any sides, which should be a positive number, we discard the negative solution and take x = 2. Therefore, the cost of one dinner without any sides is $2, and the cost of 6 dinners without any sides is 6 times that amount, which is $12. Answer: $12.
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CAN SOMEONE PLEASE HELPPPP MEEE UNDERSTAND
The congruency statement of the line congruent to VU is: VU ≅ VY
How to find the congruent line segment?An isosceles triangle is defined as a triangle that has two sides of equal length and its corresponding angles are equal in measure .
When two straight lines are cut by a transversal, then the angles formed on the opposite side of the transversal with respect to both the lines are called alternate angles.
Thus:
∠TWU ≅ ∠YUW
By inspection, ΔTUW is an isosceles triangle and as such UT ≅ UW.
Since ∠TWU ≅ ∠YUW, then UY is parallel to TX. Thus:
UW ≅ YX and VU ≅ VY
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Answer the statistical measures and create a box and whiskers plot for the following
set of data.
Min:
ㅏ
2, 3, 4, 4, 5, 5, 8, 10, 13, 13, 14
Q1: Med: 03: Max:
Create the box plot by dragging the lines:
11 12 13 14 15 16 17 18 19 20
The box and whiskers plot is made up of five points: the minimum, the first quartile (Q1), the median (Med), the third quartile (Q3), and the maximum. The minimum is the lowest value in the dataset and the maximum is the highest value in the dataset.
What is median?Median is the middle number in a set of numbers when the numbers are arranged in order from least to greatest. It is a type of measure of central tendency, which provides an indication of the “middle” value in a set of numbers. It is often used to measure the average of a set of numbers, particularly when there are extremely large or small values in the set.
The box and whiskers plot for this set of data is a visual representation of the data that makes it easier to interpret. The first quartile is the value that is 25% of the way through the dataset and the third quartile is the value that is 75% of the way through the dataset. The median is the middle value in the dataset.
To create a box and whiskers plot for this set of data, the minimum is 2, the first quartile is 4, the median is 5, the third quartile is 10, and the maximum is 14. The box and whiskers plot would then be represented by the following graph:
| |
| 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| | | | | | | | | | |
| 2 | 4 | 5 | 10 | 14 |
The box and whiskers plot graphically illustrates the spread of the data and allows us to easily compare the data to other datasets. It is also useful for identifying outliers in the dataset, as any value outside of the box and whiskers plot is considered an outlier.
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Partial credit is only available if all your work is shown.
1. Express each ratio as a fraction in simplest form.
a. 26:169 b. 36 to 78
2. While walking her dog, Sylvia noticed that 32 houses had a pot of red flowers on their
front step and 24 had a pot of yellow flowers. Write the ratio of red to yellow pots of
flowers three different ways.
a. b. c.
3. Express each rate as a unit rate.
a. 32 teams in 4 divisions
b. $2.70 for 15 ounces WILL GIVE BRAINLIEST
1. The expression of each ratio as a fraction in the simplest form is as follows:
a) 26:169 = 2/13b) 36 to 78 = 6/13.2. Writing the ratio of red to yellow pots of flowers three different ways are as follows:
a) 32:24 = 4:3b) 32:24 = 57%c) 32:24 = 0.57.3. Expressing each rate as a unit rate is as follows:
a. 32 teams in 4 divisions = 8 team per divisionb. $2.70 for 15 ounces = $0.15.What is a ratio?A ratio is the unit rate, which is the quotient of one value compared to another.
The quotient of the value is the division of one quantity by another.
Expressing Ratio as a Fraction:a) 26:169 = 26/169 = 2/13
b. 36 to 78 = 36/78 = 12/26 = 6/13
Ratio of Red to Yellow Pots of Flowers:The number of houses with a pot of red flowers = 32
The number of houses with a pot of yellow flowers = 24
The ratios of red to yellow pots of flowers in three different ways = 32: 24
The sum of ratios = 56 (32 + 24)
a) 32:24 = 4:3 = 1.75:1
b) 32:24 = 57% (32/56 x 100)
c) 32:24 = 0.57 (32/56)
Expressing each rate as a unit rate:a. 32 teams in 4 divisions = 8 team per division (32/4)
b. $2.70 for 15 ounces = $0.15 ($2.70/15)
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JM is parallel to ST the length of SJ is 3 cm the length of JR is 12 cm and the length of MR is 20 What is the length of TM ?
The value of the length of the segment TM when JM is parallel to ST is 5 cm. Option B is the correct answer.
What are parallel lines?When two lines in a plane do not cross at any point, they are said to be parallel. Lines that never cross paths with one another and do not have a common junction point are said to be parallel. Lines can either be parallel or intersecting. Two lines are said to intersect when they cross at a certain location in a plane. A line is referred to as a transversal line if it crosses two or more other lines at different locations.
Given that, JM is parallel to ST.
We know that a parallel line inside the triangle divides the corresponding sides in equal ratio.
Thus,
JR/SJ = MR/TM
Substituting the values we have:
12/3 = 20/TM
TM = 20/4
TM = 5 cm
Hence, the value of the length of the segment TM when JM is parallel to ST is 5 cm. Option B is the correct answer.
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John has two bags of colored cubes. The first bag has 3 red cubes, 6 blue cubes, and 1 orange cube. The second bag has 5 red cubes, 3 blue cubes, and 4 orange cubes. John will randomly select one colored cube from each bag. What is the probability that John will pick an orange cube from each bag? Put your answer in fraction form.
resolve into partial fraction 2x+5/(x-1)²
Answer:
Step-by-step explanation:
Find the area of the figure.
(Sides meet at right angles.)
Answer: The answer is 14mm
Step-by-step explanation: Area of A= 4mm times 2mm= 8mm
Area of B= 3mm times 2mm= 6mm
8mm + 6mm= 14mm
How I got Area A or Area of A Is I divided the shape into two with an imaginary line
Answer:
See below.
Step-by-step explanation:
We are asked to find the area of the figure.
Let's first break the figure into 2 parts, where there is 2 rectangles.
Rectangle A has the dimensions of 4 mm to 2 mm.
Rectangle B has the dimensions of 3 mm to 2 mm.
For clarification what rectangle is which, Rectangle A is on its smallest side, and Rectangle B is on its longest side.
To find the area of the 2 rectangles we multiply the 2 dimensions given to us, then add their areas together.
[tex]A = L \times W[/tex]
Substitute:
[tex]8 = 4 \times 2 \ (Rectangle \ A)[/tex]
[tex]6 = 3 \times 2 \ (Rectangle \ B)[/tex]
Add:
[tex]6+8=14 \ (A \ and \ B)[/tex]
The area of the figure is 14 mm².
The assets and liabilities of a landscaping business are listed below.
What is the net worth of the landscaping company?
A) $126,790
B) $187,205
C) $282,799
D) $470,004
The net worth of the landscaping company is given by:
$187.205.
How to calculate the net worth?
The net worth of a company or of a person is given by the sum of all assets of the person subtracted by the sum of all debts of the person.
In the context of this problem, the assets, and it's values, of the company are given as follows:
Owned Inventory: $48,760.
Cash: $126,790.
Savings account: $32,436.
Owned equipment: $20,700.
Accounts receivable: $15,640.
Property value: $225,678.
Hence the sum of the assets is given by:
Assets = 48760 + 126790 + 32426 + 20700 + 15640 + 225678 = $469,994.
The debts of the company, with it's values, are given as follows:
Small Business Loan: $76,400.
Building Mortgage: $189,429.
Other debt: $16,970.
Hence the sum of the debts is given by:
Debts = 76400 + 189429 + 16970 = $282,799.
Then the net worth of the company is:
Net worth = Assets - Debt = 469,994 - 282,799 = $187,205.