The first step to solve this problem is to compute for the total minutes allowable in his cell phone plan. To compute for this, you have to divide the number of minutes consumed by the fraction of the time consumed.
200 minutes / 33 1/3% = 600 minutes
To compute for the remaining minutes left for this month, you have to deduct the consumed minutes to the total allowable minutes in his plan.
600 minutes – 200 minutes = 400 minutes left
The standard form of the equation of a circle is (x−5)2+(y−6)2=1.
What is the general form of the equation?
x2+y2−10x−12y+60=0
x2+y2−10x−12y−62=0
x2+y2+10x+12y+62=0
x2+y2+10x+12y+60=0
Answer:
(A)[tex]x^2+y^2-10x-12y+60=0[/tex]
Step-by-step explanation:
The standard form of the equation of a circle is given as:
[tex](x-5)^2+(y-6)^2=1[/tex]
Simplifying the above given equation, we get
[tex]x^2+25-10x+y^2+36-12y=1[/tex]
[tex]x^2+y^2-10x-12y+36+25=1[/tex]
[tex]x^2+y^2-10x-12y+61=1[/tex]
[tex]x^2+y^2-10x-12y+60=0[/tex]
which is the required general form of the equation.
Hence, option A is correct.
calculate the distance nathan rides his bike if he rides 9/12 mile each day for 3 days
Final answer:
Nathan rides a total distance of 2 1/4 miles when he rides 9/12 of a mile each day for 3 days. To calculate this, multiply the daily distance by the number of days and simplify the result.
Explanation:
To calculate the distance Nathan rides his bike if he rides 9/12 of a mile each day for 3 days, you need to multiply the distance he rides in a day by the number of days he rides.
Distance per day: 9/12 mileNumber of days: 3 daysSo, the total distance Nathan rides is:
9/12 mile/day × 3 days = 27/12 miles
To simplify the fraction:
Divide the numerator (27) and the denominator (12) by their greatest common divisor, which is 3.This gives us 9/4 miles.Convert 9/4 to a mixed number: 9 ÷ 4 = 2 with a remainder of 1, so it's 2 1/4 miles.Therefore, Nathan rides a total distance of 2 1/4 miles over the three days.
A woman borrows $6,000 at 9% compounded monthly, which is to be amortized over 3 years in equal monthly payments. for tax purposes, she needs to know the amount of interest paid during each year of the loan. find the interest paid during the first year, the second year, and the third year of the loan. [hint: find the unpaid balance after 12 payments and after 24 payments.
A 8920 note is signed for 160 days at a rate of 6.5% find the proceeds
Sandy is driving cross country. She has covered 200 miles from the east coast towards the west coast. She has driven this distance in 2 days.
If Sandy continues to drive at this rate, which equation represents the total number of miles , m, she would cover in d more days?
A
m=2d
B
m=100d+200
C
m=300d
D
m=200d+100
Item 6 Find the amount of time. I=$30, P=$500, r=3% The amount of time is years.
How many pennies are in $578
if m/\a =150 and /\ a and /\b at supplementary, what is m/\ b
one inch equals to 2.54 cm. Write an equation for the length x, in inches, that equals to 15 cm
Final answer:
To convert 15 cm to inches, use the conversion factor 1 inch = 2.54 cm and set up a proportion. Solve for x to find that 15 cm is approximately equal to 5.91 inches.
Explanation:
To write an equation for the length x, in inches, that equals to 15 cm, we can use the conversion factor 1 inch = 2.54 cm. We can set up a proportion to solve for x:
1 inch/2.54 cm = x inch/15 cm
Cross multiplying, we get:
2.54x = 15
Dividing both sides by 2.54, we find that x = 5.91 inches.
Positive linear relationships are represented by values of the correlation, r, that are _____.
morgan cut exactly 35 strips of wood from a larger piece of wood.Each strip of wood was 2.45 centimeters long.How long was the larger piece of wood?
The larger piece of wood was 85.75 centimeters long based on multiplying the number of strips by the length of each strip.
To find out how long the original piece of wood was, we need to multiply the number of strips by the length of each strip.
Given:
Number of strips: 35
Length of each strip: 2.45 centimeters
Step-by-Step Solution:
Multiply the number of strips by the length of each strip to get the total length: 35 strips * 2.45 cm = 85.75 cmTherefore, the larger piece of wood was 85.75 centimeters long.
The coordinates of the vertices of trapezoid EFGH are E(-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4). The coordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9), G’(5, 0), and H’(-8, 3).
Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E’F’G’H’?
a) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.
b) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions
c) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions
d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.Answer:
D
Step-by-step explanation:
1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.
2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.
(Check graph 2)
3) So it's d, the only correct choice:
d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.
This is a 5th grade Math Problem. Please help.
Solve for x X^2+10+12=36
X=-12 or x=2
X
write the computation in words for an expression that uses all four operations (addition, subtraction, multiplication, and division). Then write the expression for the words
Expression that has all the four basic mathematical operators can be written as [tex](\dfrac{a+b}{2}) \times [c-(a+b)][/tex].
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let's take three numbers, a, b, and c.
Now, the expression in the word can be written as, The product of the addition of the first two numbers (a and b), divided by 2 and the sum subtracted from c.
If we try to write the above statement as an expression then we can write it as,
[tex](\dfrac{a+b}{2}) \times [c-(a+b)][/tex]
Hence, An expression that has all the four basic mathematical operators can be written as [tex](\dfrac{a+b}{2}) \times [c-(a+b)][/tex].
Learn more about Expression:
https://brainly.com/question/13947055
Final answer:
The computation described involves multiplying six by three, adding eight, subtracting two, and then dividing the result by four. This results in the expression ((6 * 3) + 8 - 2) / 4, incorporating all four basic mathematical operations.
Explanation:
Writing the computation in words for an expression that uses all four operations - addition, subtraction, multiplication, and division - helps in understanding the application of these operations in a complex expression. Here's an example:
First, multiply six by three, then add eight to the product. From this sum, subtract two. Finally, divide the result by four. This sequence of operations involves all four basic mathematical operations.
The corresponding expression for the described computation is: ((6 * 3) + 8 - 2) / 4.
Breaking down the expression:
Multiplication: 6 * 3Addition: + 8Subtraction: - 2Division: / 4What is 36j + j
please help and explain if you can!!! :)
help!
Twenty seventh grade students are polled about which of three ice cream flavors they prefer. If one student is picked at random, which of the following tables represents vanilla as an event that is likely?
Li wants buy a jacket is originally Price at $65.00. Today the store is advertising the jacket for 40°/° off the original price.
Yul and Sarah's art class started at 11:25 A.M.The class lasted 30 minutes. Yulieft when the class was done. Sarah stayed an extra 5 minutes to talk with the teacher and then left. Write the time that each student left.Explain how you found each time.
Yul left the class at 11:55 A.M. after it ended, having added 30 minutes to the start time. Sarah stayed for an extra 5 minutes, which implies she departed at 12:00 P.M.
Yul and Sarah's art class started at 11:25 A.M. and it lasted 30 minutes. To find out when Yul left, we simply add 30 minutes to the starting time. Starting at 11:25 A.M., after 30 minutes, it will be 11:55 A.M. That's when Yul left the class.
Sarah stayed an additional 5 minutes after the class to talk with the teacher. So, we add those 5 minutes to the time Yul left, which was 11:55 A.M. If we add 5 minutes to 11:55 A.M., it becomes 12:00 P.M. Therefore, Sarah left the class at noon.
The pyramid shown has a square base that is 18 inches on each side. The slant height is 16 inches. What is the surface area of the pyramid?
Answer:
txt
Step-by-step explanation:
What is the volume of a sphere with a radius of 5 cm
Use 3.14 for pie
this picture shows a magnified view of a tick on a penny. about how long is the tick
If a number is divisible by 2, then it is even. What is the inverse of this statementWhat is the inverse of this statement?
If a number is divisible by 2, then it is not even.
If a number is not divisible by 2, then it is not even.
If a number is not divisible by 2, then it is even.
If a number is even, then it is divisible by 2.
The inverse of the statement "If a number is divisible by 2, then it is even" is "If a number is not divisible by 2, then it is not even." According to logical operations in mathematics, an inverse involves both swapping and negating the components of the original statement.
Explanation:In the field of mathematics, the inverse of a statement swaps both the hypothesis and the conclusion, and applies a negation to them. The original statement given is, "If a number is divisible by 2, then it is even". The inverse of this statement switches and negates the components, resulting in: "If a number is not divisible by 2, then it is not even". Therefore, the second provided option is the correct one.
https://brainly.com/question/5338106
#SPJ12
Which tax bracket a person Falls into is determined by his or her ?
A. Salary
B. Taxable income
C. AGI
D.Gross income
Answer:
B. Taxable income
Step-by-step explanation:
Taxable income is the amount of money that a person earns in a period of time that can be taxated by the government, you could earn money that is not taxated, for example life insurances from deceased family members is not taxable, also upto a certain amount of money as a gift is not taxable. So the tax bracket a person falls into depends solely on the taxable income that they make in a year.
Final answer:
B: Taxable income
A person's tax bracket is determined by their taxable income, which is their adjusted gross income minus any deductions and exemptions.
Explanation:
The tax bracket into which a person falls is determined by his or her taxable income.
Taxable income is the amount of income that is subject to the official tax rates for each bracket.
This figure is the result of subtracting deductions and exemptions from your adjusted gross income (AGI). It's important to note that taxable income and AGI are not the same, as the latter is your income from various sources minus specific adjustments but before deductions and exemptions.
To calculate taxable income, the equation used is: taxable income = adjusted gross income - (deductions + exemptions).
Income Tax Brackets are the thresholds of income that are taxed at varying rates. As an individual’s taxable income increases, not only does the amount of tax paid increase, but typically so does the percentage of tax on additional income, as the tax rates in higher brackets are usually higher.
3 2/3 + 7 1/5 simplify if possible
wade is 6 years older than Mariah in 8 years the sum of their ages will be 80 how old is Wade now
you have 3 bolts that are 3/8, 5/16 and 5/8 long. Which is the shortest?
vita wants to center a towel bar on her door that is 27 1/2 inches wide . she determines that the distance from each end of the towel bar to the end of the door is 9 inches. write and solve an equation to find the length of the towel bar
The length of the towel bar is 9.5 inches.
Explanation
Suppose, the length of the towel bar is [tex]x[/tex] inches.
The distance from each end of the towel bar to the end of the door is 9 inches. So, the total width of the door will be: [tex][x+(9*2)] = (x+18)inches[/tex]
Given that, the width of the door is [tex]27\frac{1}{2}[/tex] inches or 27.5 inches. So, the equation will be........
[tex]x+18=27.5\\ \\ x=27.5-18= 9.5[/tex]
Thus, the length of the towel bar will be 9.5 inches.
Final answer:
Vita can center the towel bar on her 27 1/2-inch wide door by ensuring it is 9.5 inches long. This is done by deducting the combined distances from the ends of the towel bar to the door edges (18 inches) from the total width of the door.
Explanation:
Vita wants to find the length of the towel bar that she wants to center on a door that is 27 1/2 inches wide, with the distance from each end of the towel bar to the end of the door being 9 inches. To solve for the length of the towel bar, we denote the length of the towel bar by x. Then, we can set up an equation where the sum of the distances from both ends of the towel bar to the door edges and the length of the towel bar itself equals the width of the door.
The equation will be:
9 inches + x + 9 inches = 27 1/2 inches
We combine the known distances to simplify the equation:
18 inches + x = 27 1/2 inches
To find x, we subtract 18 inches from both sides of the equation:
x = 27 1/2 inches - 18 inches
Converting 27 1/2 inches to a decimal, we have 27.5 inches. Thus:
x = 27.5 inches - 18 inches
x = 9.5 inches
Therefore, the length of Vita's towel bar should be 9.5 inches long to be centered on her 27 1/2-inch wide door.
what the circumstances of a circle with a diameter of 12ft
Write the equation in standard form for the circle passing through ( - 1,3) centered at the origin.
Final answer:
The standard form equation of a circle centered at the origin and passing through (-1,3) is x² + y² = 10, where √10 is the radius of the circle calculated using the distance formula.
Explanation:
To write the equation of a circle in standard form that is centered at the origin and passes through the point (-1,3), you first need to calculate the radius using the distance formula. The distance formula is √((x2-x1)² + (y2-y1)²), where (x1, y1) is a point on the circle and (x2, y2) is the center of the circle. Since the circle is centered at the origin, (0,0), we can compute the radius as follows:
Radius = √((-1 - 0)² + (3 - 0)²) = √(1 + 9) = √10
The standard form of the equation for a circle centered at (h, k) with a radius r is:
(x - h)² + (y - k)² = r²
Since our circle is centered at the origin, h = 0 and k = 0, and the radius r = √10, the equation becomes:
x² + y² = 10