Rita bought a table on sale for $278.80 . this price was 66% less than the original price. what was the original price?
I need help with this
If two cards are drawn without replacement, what is the probability of drawing at least one ace
Please answer all 3 questions thank you.
The measure of one of the acute angles in a right triangle is 59°. what is the measure of the other acute angle?
What is the answer to question 3. Letter A?
Which property justifies the following equation 7 [6+5+(-6)=7 [6+(-6)+5]
is 5.75 greater than 5 8/12
Yes, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given two numbers as
5.75 and 5 8/12
To determine the value 5.75 is greater than or less than 5 8/12
We have to convert the fraction 5 8/12 into the decimal,
⇒ 5 8/12
⇒ (60 + 8)/12
⇒ (68)/12
Apply the division operation,
⇒ 5.67
Therefore, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.
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If JK LM , which statement is true ?
put in least to highest order 6.86,6.8,7,6.9,6.827 and 12.03,1.2,12.3,1.203,12.301
Answer:
6.8,6.827,6.86,6.9
Step-by-step explanation:I hope it helps
This year your brother jack will be 2 years from being twice as old as your sister jen. the sum of jack’s age and three times jen’s age is 66. how old is jen?
Daniel income tax rate is 15% if he made 32,000 this year what will his pay be in taxes this year
Daniel will pay $4,800 in taxes for the year by applying a 15% tax rate to his $32,000 income.
Explanation:To calculate the amount of income tax Daniel will pay on his $32,000 income, we will apply the 15% tax rate that corresponds to the income bracket provided in the reference material. Here's how the calculation is done:
First, identify the total income: $32,000.Next, multiply the total income by the tax rate: $32,000 * 15% (or 0.15).The calculation will be: $32,000 * 0.15 = $4,800.Therefore, Daniel will pay $4,800 in taxes for the year.
A rectangle is twice twice as long as it is wide and has the same perimeter as a square whose area is 9 square feet feet larger than that of the rectangle. what are the dimensions of both the rectangle and the square?
The dimension of rectangle : 6 and 12 units
square= 9 units
What is Perimeter ?Perimeter is the distance around the edge of a shape.
Given:
let the width of rectangle be x.
length= 2x
let the side of square is y units.
Perimeter of rectangle = Perimeter of square
and, Area of square= Area of rectangle + 9
First, Perimeter of square= 4* side
= 4y units
Perimeter of rectangle,
=2(l+b)
=2(2x+x)
=6x units
Since, Perimeter of rectangle = Perimeter of square
6x=4y
3x=2y
Now, Area of square= Area of rectangle +9
y²= x*2x+9
y²= 2x²+9
y²= 2(2y/3)²+9
y²= 8y²/9+9
1/9 y²= 9
y²=81
y=±9
So, x=2y/3= 2*9/3
x= 6
Hence, dimension of rectangle is 6 and 12.
dimension of square is 9 units.
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The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city’s population p (in thousands of people) x years after 2010?
The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.
Answer:d
Step-by-step explanation:
Given that (-4,5) is on the graph of f(x), find the corresponding point for the function f(2x)
Answer:
the correct answer is (-2,5)
Step-by-step explanation:
you multiply 1/2 by -4 to get the x value
To find the corresponding point on the function f(2x) given a point on the original function f(x), simply multiply the x-coordinate by 2. In this case, the corresponding point is (-8,5).
Given: Point (-4,5) is on the graph of f(x).
To find: Corresponding point for the function f(2x).
Solution:
When x = -4, 2x = 2*(-4) = -8.So, the corresponding point for f(2x) would be (-8,5).The sum of 16 and a number x is equal to 20
After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Five circles in a row. Each circle is divided into 4 equal-sized sectors. In the first circle, the top left sector is shaded. In the second circle, the bottom left sector is shaded. In the third circle, the bottom right sector is shaded. In the fourth circle, the top right sector is shaded. In the fifth circle, the top left sector is shaded. Which shape was most likely her conjecture for the next shape?
The left bottom sector will be the next shape that is going to be shaded.
Given that,
Five circles in a row. Each circle is divided into 4 equal-sized sectors.
In the first circle, the top left sector is shaded.
In the second circle, the bottom left sector is shaded.
In the third circle, the bottom right sector is shaded.
In the fourth circle, the top right sector is shaded.
In the fifth circle, t the bottom right sectoris shaded.
Which shape was most likely her conjecture for the next shape is to be determined.
Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Let assign a number of shading to the various sector of the circle,
1 = the top left sector
2 = the bottom left sector
3 = the bottom right sector
4 = the bottom right sector
Now,
Series of shading the sector of a circle,
1, 2, 3, 4, 3, 2,1
We need to find what is the 6th conjecture
at 6th = 2
2 = the bottom left sector
Thus, the left bottom sector will be the next shape that is going to be shaded.
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Solve the system of equations. y =9x y =2x + 63
Round 894-352 to the nearest ten
When 75% of a number is added to 6, the result is 3 more than the number. find the number?
To find the number in question, an equation is set up and solved, resulting in the number 12, which satisfies the given conditions where 75% of the number added to 6 equals 3 more than the number itself.
The question asks to find a number such that when 75% of it is added to 6, the result is 3 more than the number itself. To find this number, we can set up an equation: Let the number be represented by x. So, we have 0.75x + 6 = x + 3. To solve for x, we subtract 0.75x from both sides of the equation to get 6 = 0.25x + 3. Next, we subtract 3 from both sides to get 3 = 0.25x. Finally, dividing both sides by 0.25 gives us x = 12. Therefore, the number we are looking for is 12
solve for y, 3xy+x=9 Then find f(x) when x=2
I'm stuck on this problem also
Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth
How to you solve this problem
what seperates the places larger than 1 from those that are fractions of 1 such as tenths,hundreths
Evaluate [(21 + 6) − 3squared] ÷ 9 ⋅ 2.
choices are
4
4.6
1
52
HELP ME PLEASE NEED ANSWER NOWWWWWWWWWW solve the following system of equation. Round your answer to the nearest tenth. Your answer will be in the form (M,N). Find M+N, rounded to the nearest tenth.
5x+2y=21
-2x+6y=-34
Find the root that is a real number. rootindex 4 startroot 4096 endroot
Answer: 8
Step-by-step explanation:[tex]\sqrt[4]{4096}[/tex]
We need to factor this, so
[tex]4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1[/tex]
[tex]4096 = 2^{12}[/tex]
We have to remember that [tex]x^{n+m}=x^{n}.x^{m}[/tex]
This way, we have [tex]\sqrt[4]{4096}=\sqrt[4]{2^{12}} = \sqrt[4]{2^{4}.2^{4}.2^{4}} = 2.2.2=8[/tex]
What times what equals 75
Dennis cutting 4.7 foot length of twine from a 240 foot spool of twine he needs to cut 42 lenghts and says that 45 feet of twine will remain. Show that this is reasonable