Answer:
Adam's thinking is not correct.
When subtracting 10 from 708, we need to borrow 1 from the hundreds digit and add it to the tens digit. This will result in a new hundreds digit of 6 and a new tens digit of 9. The ones digit remains the same. Therefore, the correct answer would be 698.
Adam's answer is also 698, but his reasoning is incorrect. He thinks that both the tens and hundreds digits change, which is not the case. In reality, only the tens digit changes while the hundreds digit decreases by 1 due to the borrowing process.
thank me by marking my answer as brainliest!
Ricardo took out a single payment loan for $2500 at 7.8% ordinary interest to pay his federal income tax bill. Find the maturity value of the loan if he had to pay it back after 180 days.
Answer:
Therefore, the maturity value of the loan is $2568.75.
Step-by-step explanation:
To calculate the maturity value of the loan, we need to add the interest to the principal.
First, we need to find out how much interest Ricardo will owe for the 180-day period.
The formula for calculating ordinary interest is:
Interest = Principal x Rate x Time
where:
Principal = $2500
Rate = 7.8% = 0.078 (expressed as a decimal)
Time = 180/360 (since the interest is for a 180-day period and the rate is an annual rate)
Time is expressed as a fraction of a year because the rate is an annual rate. In this case, the time is 180/360 because the loan is for 180 days, which is half of a year.
Using the formula above, we can calculate the interest as follows:
Interest = $2500 x 0.078 x 180/360 = $68.75
Therefore, Ricardo will owe $68.75 in interest for the 180-day period.
To find the maturity value of the loan, we add the interest to the principal:
Maturity Value = Principal + Interest = $2500 + $68.75 = $2568.75
Therefore, the maturity value of the loan is $2568.75.
While the earth’s orbit (path) about the sun is slightly elliptical, it can be approximated by a circle with a radius of
miles.
How far does the earth travel in one orbit about the sun? That is, what is the approximate circumference of the earth’s path?
Approximately how fast is the earth traveling in its orbit in space? Calculate your answer in miles per hour.
The radius of the Earth's orbit around the sun is approximately 93 million miles.
To calculate the circumference of the Earth's orbit, we can use the formula:
C = 2πr
where C is the circumference and r is the radius. Plugging in the value for the radius, we get:
C = 2π(93,000,000) = 584,336,000 miles
So the Earth travels approximately 584,336,000 miles in one orbit around the sun.
The speed of the Earth in its orbit around the sun can be calculated using the formula:
v = 2πr/T
where v is the velocity, r is the radius, and T is the period (the time it takes for the Earth to complete one orbit). The period of the Earth's orbit is approximately 365.25 days, or 31,557,600 seconds.
Plugging in the values, we get:
v = 2π(93,000,000)/(31,557,600) = 29,784 miles per hour
So the Earth travels at approximately 29,784 miles per hour in its orbit around the sun.
savvas realize topic 5 assesment
Finally, express the solution as an interval of real numbers or as a set of values that make the inequality. x<10.4, x>3.3, x≥32 and x≤-15.
How to solve inequality?To solve an inequality, you need to find the set of values that make the inequality true. The process for solving an inequality depends on the type of inequality and the variables involved. Here are the general steps:
Determine the type of inequality: Is it a greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤) inequality?Simplify both sides of the inequality as much as possible using algebraic operations such as addition, subtraction, multiplication, and division. Remember to apply the same operation to both sides of the inequality.If you multiplied or divided both sides of the inequality by a negative number, you need to reverse the direction of the inequality. For example, if you multiplied both sides of x < 3 by -1, you would get -x > -3.If there are variables on both sides of the inequality, move them all to one side of the inequality and simplify.If there are absolute values in the inequality, you may need to split the inequality into two separate cases, one for when the quantity inside the absolute value is positive, and one for when it is negative.Finally, express the solution as an interval of real numbers or as a set of values that make the inequality true. If the inequality is strict (> or <), use an open interval (e.g., (a, b)). If the inequality includes equality (≥ or ≤), use a closed interval (e.g., [a, b]).
by the question.
a. x-3.5>6.9
x>6.9+3.5
x>10.4
b. 6.4>x+3.1
x[tex]\geq 32[/tex]
c. x/4≤8
x≤32
d. 2/3x≤-10
x≤-15
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Select the correct answer. Which function has an average rate of change of -4 over the interval [-2,2]?
A. x | -2 | -1 | 0 | 1 | 2
m(x) | -12 | -5 | -4 | -3 | 4
B.
C.
D.
Answer:
The correct answer is option B.
To find the function with an average rate of change of -4 over the interval [-2,2], we need to calculate the slope of the function between the two points -2 and 2.
Average rate of change = (f(2) - f(-2))/(2 - (-2)) = (-4)
Option B has the function qx with values {-4, 0, 0, -4, -12} at x values {-2, -1, 0, 1, 2}. The average rate of change of this function over the interval [-2,2] is indeed -4.
How many feet of fencing will be needed to enclose this dog pen? 4.8ft by 4yd
Answer:
19.2 ft
Step-by-step explanation:
Select the correct answer. The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21. The second number is 24. B. The equation that represents this situation is 3x = 21. The second number is 7. C. The equation that represents this situation is -3x = 21. The second number is -7. D. The equation that represents this situation is -3 + x = 21. The second number is 18.
Answer:
The product of two numbers is 21.
Step-by-step explanation:
If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21.
Katya is going on a 7-night trip. She is staying in a hotel that costs $129 per night and her airfare is $375. If she budged $2.000 for the trip, how much money will she have left for the trip?
A. $672
B. $686
C.$704
D.$722
Answer: D. $722
Step-by-step explanation:
$2,000 - $375 (initial airfare cost which will only be once)
= 1,625
7 x 129 = 903 (cost of the 7 nights in a hotel)
1,625 - 903 = 722
$722 left for the trip
K
Add the fractions. Simplify if possible.
2
9x
+
10
9x
The sum of the given fractions is (2x + 10)/x.
What is fraction ?
A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written in the form of a numerator and a denominator separated by a horizontal line. The numerator represents the number of equal parts under consideration, while the denominator represents the total number of equal parts that make up the whole. For example, the fraction 3/4 represents three equal parts out of a total of four equal parts. Fractions can be added, subtracted, multiplied, and divided to perform various mathematical operations.
According to the question:
The given fractions can be added if they have a common denominator. In this case, the common denominator is 9x.
So, we need to write the fractions with 9x as the denominator:
2/1 * (9x/9x) = 18x/9x
10/1 * (9/9x) = 90/9x
Now, we can add these two fractions:
18x/9x + 90/9x = (18x + 90)/9x = 9(2x + 10)/9x = 2x + 10/ x
Therefore, the sum of the given fractions is (2x + 10)/x.
Q: Find K by Adding the fractions and simplify if possible k=(2*(9x))+(10*(9x))
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Write numbers to make an expression equivalent to 5x - 4
Expression equivalent to 5x - 4 are 5(x - 4/5), 5x - 20/5, 10x/2 - 8/2 and 3(5x/3) - 4
How numbers to make an expression equivalent to 5x - 4To create an expression equivalent to 5x - 4, we need to use arithmetic operations such as addition, subtraction, multiplication, and division, along with numbers and variables. The goal is to manipulate the numbers and variables in a way that results in the same value as 5x - 4.
Here are some examples of how we can do this:
5(x - 4/5)
In this expression, we start with x and subtract 4/5 from it. Then we multiply the result by 5. This is equivalent to distributing the 5 to x and -4/5, which gives us 5x - 4.
5x - 20/5
Here, we simply subtract 20/5 (which simplifies to 4) from 5x. This gives us 5x - 4.
(25x - 20)/5
In this expression, we start with 25x and subtract 20 from it. Then we divide the result by 5. This is equivalent to simplifying the expression to 5x - 4.
10x/2 - 8/2
This expression might look a bit different, but it's still equivalent to 5x - 4. Here, we start with 10x and divide it by 2, which gives us 5x. Then we subtract 8/2 (which simplifies to 4) from it, giving us 5x - 4.
3(5x/3) - 4
In this expression, we start with 5x and divide it by 3. Then we multiply the result by 3, which gives us 5x. Finally, we subtract 4 from it, giving us 5x - 4.
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The diameter of the base of a cone is shown on the grid. Each square unit on the grid has a side length of 1 foot. The volume of the cone is approximately 200.96 cubic feet. Determine the height of the cone, and construct it vertically on the grid with respect to the center of the cone's base.
Use 3.14 for .
Answer:
First, we need to find the radius of the base of the cone. We can see from the grid that the diameter is 8 units, so the radius is 4 units (or 4 feet).
Next, we can use the formula for the volume of a cone to find the height:
V = (1/3)πr^2h
Substituting the given volume and radius, and using 3.14 for π, we get:
200.96 = (1/3) x 3.14 x 4^2 x h
Simplifying and solving for h, we get:
h = 200.96 / (1/3 x 3.14 x 4^2)
h = 200.96 / 53.02
h ≈ 3.79 feet (rounded to two decimal places)
To construct the cone vertically on the grid with respect to the center of the base, we can draw a circle with radius 4 units (or 4 feet) centered at the point (4,4) on the grid. Then, we can draw a line from the center of the circle (point (4,4)) up to a point above the circle that is 3.79 units (or 3.79 feet) away from the center. This line represents the height of the cone. Finally, we can connect the endpoint of the line to the points where the circle intersects the grid to complete the cone.
Me . Lake Bought four dozen apples for her band kids 1/4 of the apples were green and 3/4 or red. How many apples were red
Answer:
36
Step-by-step explanation:
3/4 of 48 is 36
please help with these 2 questions in math
The correct answer is E (-1,-3). Reflection across the x-axis is a transformation that flips the object across an imaginary line that runs through the center of the x-axis.
What is transformation?Transformation in mathematics is the process of changing an object or figure in some way. This includes changing the size, position, rotation or reflection of an object. Transformations can also be used to move a figure from one coordinate system to another. Common transformations include translation, rotation, reflection and scaling.
In this case, the x-axis is the line y = 0. The figure ABCD is reflected across this line, resulting in point A being reflected to E.
When a figure is reflected, the x-coordinates remain the same, while the y-coordinates change sign. This means that the x-coordinate of point A (-1) remains the same, but the y-coordinate (3) changes to its opposite (-3). Therefore, the resulting coordinates of point A are (-1,-3).
Reflection across the x-axis is an example of a transformation. Transformations involve changing the position, size or orientation of a figure, but not its shape. This means that the figure ABCD is still the same shape after being reflected, but its position has changed. After being reflected, the figure is now located on the opposite side of the x-axis.
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How do l do this help
Answer:
130
Step-by-step explanation:
Answer: y=130 x=130
Step-by-step explanation:
Please help i’ll give brainlist!!
Solve each proportion.
Answer: 12, 32/11
Step-by-step explanation:
3 12
4 32/11
Perry's patio is 6 meters long and 53 meters wide. What is the area of his patio?
Quadrilateral has a vertex (5,2), coordinates after translation (x,y)- (x-1, y+3), followed by a dilation by 2
As a result, after translation and dilation, the initial quadrilateral's apex (5, 2) changes into the vertex (8, 10).
A quadrilateral form is what?One quadrilateral is a circular shape with four sides. These geometric shapes are quadrilaterals: produced by Raphael. a quadrilateral form. There is only one pair of parallel edges to the form, and there are no right angles.
To find the coordinates of the vertices of the quadrilateral after translation and dilation, we can follow these steps:
Translate the vertex (5, 2) by subtracting 1 from the x-coordinate and adding 3 to the y-coordinate to get the new coordinates: (5-1, 2+3) = (4, 5).
Dilate the translated vertex by a factor of 2 with respect to the origin (0, 0) to get the final coordinates: (24, 25) = (8, 10).
Therefore, the vertex (5, 2) of the original quadrilateral is transformed into the vertex (8, 10) after translation and dilation.
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The complete question is: After translating a quadrilateral with a vertex at (5,2) to a new position given by (x-1, y+3) and then dilating it by a factor of 2, what are the coordinates of the new vertices of the quadrilateral?
Answer:
(8,10)
Step-by-step explanation:
Help please I got 5.76 I don’t know if that’s right
Answer:
trust yourself cuh
Step-by-step explanation:
11) m/EFG=132°, m/CFG=x+111,
and m/EFC=x+23. Find mLEFC.
Applying the angle addition postulate, the value of x in the image given is calculated as: 49.
What is the Angle Addition Postulate?The Angle Addition Postulate states that for any angle, the sum of its adjacent angles is equal to the angle formed by combining them.
Therefore, we have:
x + 11 + x + 23 = 132
Combine like terms to find the value of x:
2x + 34 = 132
2x = 132 - 34
2x = 98
2x/2 = 98/2
x = 49
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Parts of similar triangles
Find x
In the triangle, x has a value of 18.
Which triangle is on the right?A right triangle is one with a 90 degree inner angle. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The two arms of a right angle are made up of height and base.
We know that the respective sides of the two triangles in the diagram are proportional since they resemble one another. Namely, we have
AB / AE = BC / CD
Inputting the values provided yields:
x / 12 = 9 / 6
Finding x and simplifying results in:
x = 12 * (9/6) = 18
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Increase the number 15/16 by 3/5 of it of it. Then increase the resulting number by 3/5 of it
The resulting number is 12/5
What are arithmetical operations?Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.
Given that we need to, increase the number 15/16 by 3/5 of it, then increase the resulting number by 3/5 of it
So, performing the operations,
15/16+15/16×3/5
= 15/16(1+3/5)
= 15/16(8/5)
= 120/80
= 3/2
Now,
3/2+3/2×3/5
= 3/2(1+3/5)
= 3/2(8/5)
= 24/10
= 12/5
Hence, the resulting number is 12/5
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mHJ
measure of arc HJ:
96
29°
1
Answer:
Step-by-step explanation:
To convert the mixed angle measure 96° 29' 1" to decimal degrees, we can use the following formula:
decimal degrees = degrees + (minutes / 60) + (seconds / 3600)
Using this formula, we have:
decimal degrees = 96 + (29 / 60) + (1 / 3600)
decimal degrees = 96.4836111
Therefore, mHJ = 96.4836111 degrees (rounded to seven decimal places).
how do i solve this problem?
Option A correctly describes the area of the graph of the function.
How is an area of the graph calculated?
The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.
It is the integration of the function polynomial of the possible values of x that the function curve lies in.
Here the function equation is : [tex]f(x) = ( 25 - x^{2} )[/tex]
From the figure, we can see that the value of x varies from -5 to 5.
Initial x-value of integration = minimum value of x
= -5
Final x-value of integration = maximum value of x
= 5
Thus, the area of the graph can be correctly calculated as. :
[tex]Area = \int\limits^{maxX}_ {minX} \, f(x)dx[/tex]
[tex]Area = \int\limits^5_ {-5} \, (25-x^{2} )dx[/tex]
Hence, Option A correctly calculates the area of the graph given.
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5. Andrew needs to choose a captain creature and a partner creature for his
expedition to a mysterious dungeon. Each creature belongs to the grass,
fire, or water group, and each group has 6 creatures. If the captain and
partner creatures cannot be from the same group, how many ways can
Andrew choose a captain creature and a partner creature?
Andrew needs to choose a captain creature and a partner creature for his expedition to a mysterious dungeon. Each creature belongs to the grass, fire, or water group, and each group has 6 creatures, hence there are 216 ways
If the captain and partner creatures cannot be from the same group, how many ways can Andrew choose a captain creature and a partner creature?" by using combinatorial techniques.
Since Andrew cannot choose a captain and partner creature from the same group, there are 3 choices for the captain creature and 2 choices for the partner creature.
Therefore, the number of ways that Andrew can choose a captain and partner creature is: 3 * 2 * 6 * 6 = 216
Therefore, there are 216 ways that Andrew can choose a captain creature and a partner creature for his expedition to the mysterious dungeon
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Ann thought of a number, n . She multiplied it by 5 and then added 7. Then she told Jim the result, r
Start with the formula you wrote in part (b). Use it to write another formula that could help Jim find Ann’s number, n as soon as he is given the result, r
The formula that could help Jim find Ann’s number, n as soon as he is given the result, r is n = (r - 7) / 5.
How to write formula?Formula 1;
Let the unknown number Ann thought of = n
(n × 5) + 7 = r
5n + 7 = r
If Jim is given Ann's number n if given the results, r
This means Jim will make Ann's number n the subject of the formula;
5n + 7 = r
Subtract 7 from both sides
5n = r - 7
divide both sides by 5
n = (r - 7) / 5
Therefore, the formula written in terms of n is n = (r - 7) / 5
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PLS HELP FASTTTTTTTTTTTTTTTTTTTTTT
Question 2
(03.01 LC)
Which of the following is not created when a plane slices through a cone?
O Point
O Line
O Circle
O Square
A square is not created when a plane slices through a cone.
What is square?
A square is a geometrical shape that has four equal sides and four equal angles of 90 degrees.
What is cone?
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a pointed top or apex. It looks like a funnel or an ice cream cone.
According to given information:When a plane intersects or slices through a cone, it creates a variety of different shapes depending on the angle of the plane and the position of the cone.
If the plane intersects the cone at an angle perpendicular to its base, it will create a circle. If the plane intersects the cone at an angle that is not perpendicular to its base, it will create an ellipse.
If the plane intersects the cone at an angle that is parallel to one of its generators (the lines that can be drawn from the vertex of the cone to any point on its base), it will create a parabola. If the plane intersects the cone at an angle that is not parallel to one of its generators, it will create a hyperbola.
Therefore, a square is not created when a plane slices through a cone.
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If you need $25,000 eight years from now, what is the minimum amount of money you need to deposit into a bank account that pays an annual percentage rate (APR) of 5% that is compounded--
i need an answer ASAP because i need to bring up my grade thanks also its due today
The minimum amount of money to be deposited in the bank account is $16,921. The solution has been obtained by using compound interest.
What is compound interest?
Compound interest is the type of interest that is calculated using both the principal and the interest that has accumulated over the preceding period. In contrast to simple interest, compound interest does not factor in the principal when calculating the interest for a subsequent period. In mathematics, compound interest is frequently referred to as C.I.
We are given that we need $25,000 eight years from now and the account pays an annual percentage rate (APR) of 5% which is compounded annually.
So, using the compound interest formula, we get the principal as
⇒ P = [tex]\frac{A}{(1 + \frac{r}{n} )^{nt} }[/tex]
⇒ P = [tex]\frac{25000}{(1 + \frac{0.05}{1} )^{8} }[/tex]
⇒ P = $16,920.98
Hence, the minimum amount of money to be deposited in the bank account is $16,921.
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Finding the area and perimeter
Answer:
Lion area: 60
Lion Perimeter: 34
Tiger Area: 60
Tiger perimeter: 64
Step-by-step explanation:
2. Solve based on the diagram below.
What is the value of angle x? How do you know (what type of angle pairs are they)?
Answer: 160
Step-by-step explanation: The straight line or line X is 180 degrees. So subtracted 20. This is because X is intersected by another line which makes the upper notch 20 degrees.
Martha made 2 2/3 pounds of pasta. she divided the pasta into fourths. how much pasta is in each portion?
Step-by-step explanation:
2 2/3 = 8/3
8/3 * 1/4 = 8/12 = 2/3 pound in each portion