Answer: The price today = $250
Step-by-step explanation:
Given : The original price of apple was $200.
The price of a new apple ipod has increased by 1/4.
Then , the new price =(Original price) +([tex]\dfrac{1}{4}[/tex]) x (Original price)
= (Original price) ( [tex]1+\dfrac{1}{4}[/tex] )
[tex](\$200)(\dfrac{5}{4})=\$250[/tex]
Hence, the price of ipod today = $250
Line M passes through the points (–5, 9) and (–1, 9).
What is another way to write 46
Final answer:
The number 46 can be written as 'forty-six', 'XLVI' in Roman numerals, '101110' in binary, '56' in octal, '2E' in hexadecimal, a sum or product of other numbers, or in scientific notation as 4.6 x 10ⁱ.
Explanation:
There are several ways to write the number 46 in mathematics. One alternative way to express the number is by using words, such as 'forty-six'. Another method is to use Roman numerals, which would be 'XLVI'. Additionally, 46 can be represented in other numerical bases; for example, in binary, it is '101110', in octal, it is '56', and in hexadecimal, it is '2E'. If we dive into mathematics, 46 can also be written as a sum of other numbers, such as 23 + 23, or a product of primes, which for 46 is 2 x 23. Lastly, 46 can be expressed in scientific notation as 4.6 x 10±, though this form is more commonly used for very large or very small numbers.
the sum of the measures of the three of a angles of triangle is 180. In a triangle, the measures of three angles are x,x-5 and x+23. What is the measure of each angle
x + x-5 + x +23 = 180
combine like terms:
3x +18 = 180
subtract 18 from each side:
3x = 162
divide both sides by 3
x = 162 / 3 = 54
Angle x = 54 degrees
Angle x-5 = 54-5 = 49 degrees
Angle x +23 = 54 +23 = 77 degrees
Every 3 days Marco fills up his car with gas. Every 8 days he washes his car. On what day will Marco fill his car with gas and wash it?
Ms. Winter makes homemade bath soaps and bottles of lotion. In her inventory, she had 48 bath soaps and 64 bottles of lotion. She wants to use all of her inventory to make as many gift baskets as she can use using the same number of bath soaps and the same number of lotion bottles in each gift basket. She will be able to make at most ? gift baskets. Each basket will contain ? bath soaps and ? bottles of lotion.
A cube has a volume of 512 mm^3. If all sides of the cube are divided by 4, what will the resulting volume be?
A) 8 mm^3
B) 27 mm^3
C) 7.2 mm^3
D) 12 mm^3
Which statement proves that PQRS is a parallelogram? The slopes of SP and RQ are both –2 and SP = RQ = . The slopes of RS and QP are both 3 and SP = RQ = . The midpoint of RP is and the slope of RP is . The midpoint of SQ is and SQ = 5
Answer:
The correct option is 1. The figure PQRS is a parallelogram, if slope of SP and RQ are both –2 and SP = RQ.
Step-by-step explanation:
The opposite sides of a parallelogram are parallel are equal.
In the quadrilateral PQRS,
PQ and RS are opposite sides.
SP and RQ are opposite sides.
The slope of two parallel lines are same.
If the slopes of SP and RQ are both –2. It means SP and RQ are parallel. It is also given that
SP = RQ
Since one pair of opposite sides are equal and parallel, therefore the another set of opposite sides is also parallel and equal.
The opposite sides are prallel and equation, so the quadrilateral PQRS is a parallelogram.
Thus correct option is 1.
The statement that proves that quadrilateral PQRS is a parallelogram is: A. The slopes of SP and RQ are both –2 and SP║RQ.
Properties of the Sides of a Parallelogram
A parallelogram is a quadrilateral having two pairs of opposite sides that are equal and parallel to each other, and also, the slopes of opposite sides of a parallelogram are the same.
Therefore, the statement that proves that quadrilateral PQRS is a parallelogram is: A. The slopes of SP and RQ are both –2 and SP║RQ.
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What is the distance between S and T? If necessary, round to the nearest tenth.
Find 14/15−1/3 . Write your answer as a fraction in simplest form.
An animal park has 120 gazelles. If the population increase 5% in on year, how many gazelles will the park have next year?
The number of gazelles will the park have next year will be 126 if An animal park has 120 gazelles. If the population increase 5% in on year.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
An animal park has 120 gazelles. If the population increase 5% in on year,
= 5% of 120
= 6
= 6 + 120
= 126
Thus, the number of gazelles will the park have next year will be 126 if An animal park has 120 gazelles. If the population increase 5% in on year.
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What is the domain of the function f(x)= 1/3x+2
The answer is the last one
x≥-6
I hope this helps, and God bless <3
In his bookstore Toby places 21 books on shelves with 7 books on each shelf how many shelves does Toby need
A rectangular room is 22 meters longer than it is wide, and its perimeter is 1616 meters. find the dimension of the room.
Prove that if b is a square matrix then b+b^t is symmetric
Barbara D’Angelo’s bank granted her a single-payment loan of $1,000 for 100 days at 12% ordinary interest. What is the amount of ordinary interest owed?
What is the remainder obtained by dividing x7 x5 1 by the generator polynomial x3 1?
The remainder obtained by dividing on [tex]{x^7} + {x^5} + 1[/tex] the generator polynomial [tex]{x^3} + 1[/tex] is [tex]\boxed{{-x^2} + {x} +1}[/tex]
Given:
The generator polynomial is [tex]{x^3} + 1.[/tex]
The polynomial is [tex]{x^7} + {x^5} + 1[/tex]
Explanation:
There are two methods of dividing the two polynomials.
(1). Synthetic division
(2). Long division method
The fraction can be expressed as,
[tex]{\text{Fraction}}= \dfrac{{{x^7} + {x^5} + 1}}{{{x^3} + 1}}[/tex]
The denominator of the fraction is [tex]{x^3} + 1[/tex] and the numerator of the fraction is [tex]{x^7} + {x^5} + 1.[/tex]
Divide [tex]{x^7} + {x^5} + 1[/tex] by [tex]{x^3} + 1[/tex] to obtain the remainder and the quotient of the polynomial.
The remainder obtained by dividing on [tex]{x^7} + {x^5} + 1[/tex] the generator polynomial [tex]{x^3} + 1[/tex] is [tex]\boxed{{-x^2} + {x} +1}[/tex]
Kindly refer the image attached below.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Long division method
Keywords: division, binomial synthetic division, long division method, coefficients, quotients, remainders, numerator, denominator, polynomial, zeros, degree, cubic polynomial, quadratic equation.
Final answer:
To find the remainder of the polynomial division of x^7 + x^5 + 1 by x^3 + 1, one would perform polynomial long division or synthetic division, continuing until the degree of the remainder is less than the divisor.
Explanation:
The student is asking how to find the remainder of a polynomial division. Specifically, they want to know the remainder when dividing x^7 + x^5 + 1 by the polynomial x^3 + 1. To solve this, one would typically use long division of polynomials or synthetic division. The process is similar to long division with numbers. We would start by looking at the highest degree terms of both polynomials and divide them, then multiply the divisor by the result and subtract from the dividend. Repeat this process until the degree of the remainder is less than the degree of the divisor. Since finding the remainder requires us to consider terms up to x^2, we are essentially looking for the result of division that does not perfectly divide, similar to how 7 divided by 3 leaves a remainder.
what is a decimal number which never ends, but whose digits after the decimal point come in a predictable pattern called? it starts with the letters re.
if it takes Joan one and a half hours to watch a movie, how many films can he watch in ten and a half hours
Each box holds 10 cartons of milk.there are 300 cartons of milk.how many boxes are there?
Which product represents the fraction of the circle that is shaded?
A. 3/4 x 1/2
B. 2/3 x 3/4
C. 1/4 x 3/4
D 3/4 x 3/4
Answer:
D 3/4 × 3/4
Step-by-step explanation:
The part of the circle that is black is 1/4 of the circle. The remaining 3/4 is divided by the dashed lines into 4 equal parts, so each of those parts is 1/4 of 3/4 of the circle. 3 of the parts are shaded blue, so those represent ...
... 3/4 × 3/4 . . . of the circle
The correct product that represents the fraction of the shaded circle is D. 3/4 x 3/4.
Explanation:The correct answer is D. 3/4 x 3/4.
The fraction represents the shaded part of the circle. We can determine the shaded area of the circle by multiplying the fraction of the radius by the fraction of the circumference that is shaded. In this case, 3/4 x 3/4 would yield a product that represents the fraction of the circle that is shaded.
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Officer Brimberry wrote 8 tickets for traffic violations last week, but only 5 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.
Answer:
The percent decrease is [tex]37.5\%[/tex]
Step-by-step explanation:
we know that
[tex]8\ tickets[/tex] ------> represent the [tex]100\%[/tex]
so
by proportion
Find the percent decrease
[tex]\frac{100}{8}\frac{\%}{tickets} =\frac{x}{(8-5)}\frac{\%}{tickets} \\ \\x=100*(8-5)/8\\ \\x=100*3/8\\ \\x=37.5\%[/tex]
if 45 grams of a drug are contained in 200 mL how many grams are contained in 80 ml
there are seven days how many days are there in 16 weeks
Tina has put 15 of her old CDs in a storage crate. How many more CDs can she store in the crate if it can hold no more than 23 CDs
6.14 x 10 to the power of negative 9 in standard form
Which graph represents the function y=2/3x-2
Answer:
Here you go! used a graphing calculator for accuracy.
Step-by-step explanation:
Last year Mr. Henderson paid a total of $98.40 for phone service and $79.20 for garbage pick up what was his average cost per month for phone service and garbage pick up?
Suppose that one worker can produce 15 cookies, two workers can produce 35 cookies together, and three workers can produce 60 cookies together. what is the average product of the first two workers?
Jackson earned $60 and put 1 5 of those earnings into his savings account. How much did he put into his savings account?
Answer:
12
Step-by-step explanation:
=1x60
5x1
=60
5
12
Marika Perez’s gross biweekly pay is $2,768. Her earnings to date for the year total $80,272. What amount is deducted from her pay for Social Security taxes if the rate is 6.2%? What amount is deducted for Medicare, which is taxed at 1.45%?
Answer:
The deduction for social Security tax is $4976.86 and the deduction for Medicare tax is $1163.94 .
Step-by-step explanation:
Marika Perez’s gross biweekly pay is $2,768. Her earnings to date for the year total $80,272.
What amount is deducted from her pay for Social Security taxes if the rate is 6.2%?
[tex]0.062\times80272=4976.86[/tex] dollars
What amount is deducted for Medicare, which is taxed at 1.45%?
[tex]0.0145\times80272=1163.94[/tex] dollars