Answer:
[tex]\bold{85\frac13\,\%}[/tex]
Step-by-step explanation:
[tex]\dfrac{64}{75}\cdot100\,\%=\dfrac{64}{3}\cdot4\,\%=\dfrac{256}{3}\,\%=85\frac13\,\%[/tex]
workers have painted 920 square feet of an office they have completed 80% of their job how many square feet do they need to. paint in all
80% = 0.80
divide the area done by the percentage:
920/0.80 = 1150
total area is 1150 square feet
Erik drove 62 miles per hour for 4.5 hours. Use the equation below to determine how far he drove.
D= r • t
D =distance, r= rate of speed, t= time
r = 62 mph
t = 4.5 hours
d = 4.5*62 = 279 total miles
1.) what is the prime factorization of 57
2.) what is the prime factorization of 54
Final answer:
The prime factorization of 57 is 3 × 19, and the prime factorization of 54 is 2 × 3 × 3 × 3.
Explanation:
The prime factorization of 57 is 3 × 19. To find the prime factorization of 57, we start by dividing the number by the smallest prime number, which is 2. We continue dividing until we cannot divide any further. In this case, 57 is not divisible by 2. Next, we try dividing by the next smallest prime number, which is 3. 57 divided by 3 equals 19, which is a prime number. Therefore, the prime factorization of 57 is 3 × 19.
The prime factorization of 54 is 2 × 3 × 3 × 3. To find the prime factorization of 54, we use the same process. We start by dividing the number by 2, then 3, and so on, until we cannot divide any further. 54 divided by 2 equals 27. 27 divided by 3 equals 9, and 9 divided by 3 equals 3. 3 is a prime number, so we stop here. Therefore, the prime factorization of 54 is 2 × 3 × 3 × 3.
the length and width of a rectangle whose length is 2 centimeters more than the width
L= 2+w
I cannot solve this, however, because you have not included the total perimeter/area
The length and width of a rectangle can be represented as x + 2 cm and x cm, respectively.
Explanation:In this problem, we are given that the length of a rectangle is 2 centimeters more than the width. Let's say the width of the rectangle is x centimeters. Then, the length of the rectangle would be x + 2 centimeters.
So, the dimensions of the rectangle are: length = x + 2 cm and width = x cm.
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Which of the following are properties of the incenter of a triangle? Check all that apply. A. The incenter is where all of the bisectors of the angles of the triangle meet. B. The incenter of a triangle is always inside it. C. The incenter of a right triangle lies on the side opposite the right angle. D. The incenter is where all of the perpendicular bisectors of the sides intersect.
Incenter is nothing but a point inside a triangle where all interior angle bisectors intersect. So, the correct options are A) and B).
Incenter is nothing but a point inside a triangle where all interior angle bisectors intersect.
According to the definition of incenter the correct statement from the given options will be:
A). The incenter is where all of the bisectors of the angles of the triangle meet.
B). The incenter of a triangle is always inside it.
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Option A and B
Incenter of a Triangle Properties:
A. The incenter is where all of the bisectors of the angles of the triangle meet.B. The incenter of a triangle is always inside it.Step-by-step explanation:
The incenter is where the angle bisectors intersect, making choice A true.The incenter lies inside the triangle, making choice B accurate.The incenter doesn't necessarily lie on the right triangle's side opposite the right angle, making choice C incorrect.The incenter is not where all the perpendicular bisectors of the sides intersect, making choice D false.the difference of 3 times a number and 20 is greater then 10
Which expression is equivalent to –21.8 – (–18.3)?
The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.
What is an expression?
Expression in math is defined as the collection of the number, variables and functions by using operations like addition, subtraction, multiplication, and division.
The mathematical expression is given as;
⇒ - 21.8 - (- 18.3)
Now, Solve the expression as;
The mathematical expression is
⇒ - 21.8 - (- 18.3)
= -21.8 + 18.3
(Since, Two negative sign give positive sign after combine.)
After subtract the numbers we get;
= - 3.5
So, The equivalent expression is;
⇒ - 21.8 - (- 18.3) = - 3.5
Thus, The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.
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HELPPPPPP
Figure X Is translated down 5 and then reflected over the y-axis, forming figure Y
Answer:
Option D.
Step-by-step explanation:
In the graph attached if we consider a point X. We find that the given point or figure is reflected over the y - axis first.
It means x gets a mirror image in second quadrant when reflected over y-axis (equidistant form y-axis) and the coordinates of X' becomes(-3, 2).
Now this point X'(-3, 2) is translated down by 5 units to form a new point Y in third quadrant with the new coordinates (-3, -3)
Y- coordinates of Y = Y coordinates of X' - (-3)
= 2 - (-3) = 5 units down.
Therefore, Option D.is the correct option.
Choose the linear inequality that describes the graph. The gray area represents the shaded region
Answer:
The required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].
Step-by-step explanation:
Consider the provided graph.
The y-intercept of the line is, (0,-2)
The x-intercept of the line is, (1,0)
To find the equation of line use the formula:
[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute [tex](x_1,y_1)=(0,-2)\text{and}(x_2,y_2)=(1,0)[/tex]
[tex]y-(-2)=\frac{0-(-2)}{1-0}(x-0)[/tex]
[tex]y+2=\frac{(2)}{1}(x)[/tex]
[tex]y+2=2x[/tex]
[tex]y=2x-2[/tex]
Therefore the equation of line is [tex]y=2x-2[/tex].
The graph is solid line and shaded region is above the line. So, use the inequality sign "≥".
Thus, the required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].
4x5 – 12x4 + x3 – 52x2 – 60x – 16 = 0
The question provided is a fifth-degree polynomial equation in mathematics, specifically algebra, which requires solving for variable x. Higher-degree polynomial equations like this may require numerical methods or synthetic division to solve. The solutions may include both real and complex numbers.
Explanation:The given question is a polynomial equation that requires solving for the variable x. In mathematics, specifically in algebra, solving polynomial equations can sometimes be achieved through factoring, applying the rational root theorem, or using synthetic division. However, the provided equation 4x5 – 12x4 + x3 – 52x2 – 60x – 16 = 0 is a fifth-degree polynomial, which might not have a straightforward solution method such as factoring or simple root identification.
To solve higher-degree polynomials, one can use numerical methods, attempt to factor by grouping (if that results in a solvable factorization), or apply the synthetic division repeatedly to find possible real roots. If the equation can be factored down to quadratic factors, the quadratic formula ax² + bx + c = 0 could be applied to find the roots of those quadratic factors. It's important to note that a fifth-degree polynomial will have five roots according to the Fundamental Theorem of Algebra, which can be real or complex numbers.
Other examples provided in the question seem to be related to solving quadratic equations or conditions for quadratic expressions which are not directly applicable to the fifth-degree polynomial but showcase general algebraic problem-solving techniques.
What is the answer to -n+9n+3-8-8n
Solve the system algebraically.
3x - 2y - 1 = 0
y = 5x + 4
What is the solution?
{(-9/7,-17/7)}
{(9/7,17/7)}
{(9/7,-17/7)}
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answer for 10 points/other drop downs are x value and y values
What is a perfect cube and how can you check if a given number is a perfect cube? Explain why.
Answer:
A perfect cube is a number that is the result of multiplying a whole number by itself three times. Check a number by finding the cube root. If the cube root is a whole number, then the number is a perfect cube.
Of the children at Molly's daycare, 1/8 are boys and 2/5 of the boys are under 1 year old. How many boys at the daycare are under 1 year old.
To find the number of boys at Molly's daycare that are under 1 year old, we can use the given fractions to calculate the answer.
Explanation:To find the number of boys at Molly's daycare that are under 1 year old, we first need to determine the total number of boys at the daycare. Since 1/8 of the children are boys, we can assume that 1/8 of the total number of children are boys. Let's say there are a total of x children at the daycare. If 1/8 of x represents the number of boys, we can write the equation (1/8) * x = number of boys. Now, we need to find the number of boys that are under 1 year old. Since 2/5 of the boys are under 1 year old, we can write the equation (2/5) * (1/8) * x = number of boys under 1 year old. Simplifying this equation gives us the answer: (1/20) * x = number of boys under 1 year old.
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Rosa just finished installing a small koi Pond in her backyard and now needs to re-sod. One side of the koi pond is 2 feet shorter than the other side. One side of the garden is three times the longer side of the koi pond The other side of the garden is 5 feet longer than the first side. How much psi does Rosa need to buy? K
The quotient of (x^5-3x^3-3x^2-10x+15) and a polynomial is (x^2-5). What is the polynomial
Answer:
The polynomial is [tex]x^3+2x-3[/tex].
Step-by-step explanation:
The quotient stands for division, so when we are told that the quotient of [tex]x^5-3x^3-3x^2-10x+15[/tex] and a polynomial, we have to think of a division which result is [tex]x^2-5[/tex]. The goal of this exercise is to find the value of such polynomial that is divisor.
Solving for the divisor
We can write the quotient in a general way using proper naming as follows:
[tex]\cfrac{\text{dividend}}{\text{divisor}}=\text{result}[/tex]
Solving for the divisor we have
[tex]\text{dividend}=\text{divisor} \times\text{result}\\\cfrac{\text{dividend}}{\text{result}}=\text{divisor}[/tex]
So the goal is to work with that division to find the polynomial, that is
[tex]\cfrac{x^5-3x^3-3x^2-10x+15}{x^2-5}[/tex]
Long division
In order to set up for long division, we have to realize that the dividend or numerator has not the [tex]x^4[/tex] term, so we can fill it with [tex]0x^4[/tex]
So we will have
[tex]x^5+0x^4-3x^3-3x^2-10x+15[/tex]
Please check the attached image file to see the steps for the long division that will be explained here in text.
The first step is to divide always the first term of the dividend that is the [tex]x^5[/tex] by the first term of the polynomial we are dividing by, that is [tex]x^2[/tex], so we get
[tex]\cfrac{x^5}{x^2} =x^3[/tex]
We write that on top and then we multiply it times the polynomial we are dividing by that is
[tex]x^3(x^2-5) = x^5-5x^3[/tex]
We write that below the dividend and proceed subtracting each column, that will give us
[tex]2x^3-3x^2-10x+15[/tex]
So we can continue with the division, just looking at first terms we get
[tex]\cfrac{2x^3}{x^2}=2x[/tex]
Then we continue multiplying
[tex]2x(x^2-5) = 2x^3-10x[/tex]
And we write that below as can be seen on the attached image, so the subtraction of each column give us
[tex]-3x^2+15[/tex]
Finally we can work with the last division of first terms.
[tex]\cfrac{-3x^2}{x^2}=-3[/tex]
And we write that -3 on top, and we multiply
[tex]-3(x^2-5) = -3x^2+15[/tex]
And work with the last division and we get 0. Getting 0 is a way to verify that there is no remainder and that our work is correct for the quotient.
Lastly the expression on top is the original polynomial of the quotient, we can conclude that the polynomial is [tex]x^3+2x-3[/tex]
Two supplementary angles have the following measurements: 2x degrees,
and (6x+20) degrees. What is the value of x?
The two-way table shows the number of students in a school who have bikes and/or skateboards at home:
Have Bikes
Do Not Have Bikes
Total
Have Skateboards
32
10
42
Do Not Have Skateboards
40
12
52
Total
72
22
How many more students have bikes than skateboards?
10
12
30
50
Help Please!! Gets brainliest
-6•(-18).......help this is due tomorrow
n someone answer this question for me please : how can I write repeated multiplication using powers ?
PLEASE HELP i have no idea how to do this answer will give you 30 points please help
19. 13(x+5)=91
20. (-8)×x-15=30
21. p=23w
22. S=P+2
23. 7
24. -13
25. -8
26. 13
27. -10
28. -72
29. -6
30. 3
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.
A=(4-g) 1.5
B=(4-g) + 1.5
C= 4g-g(1.5)
D=(4-g)g
Answer:
A=(4-g) 1.5
Step-by-step explanation:
Let g be the amount of glycerin in the lotion. We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.
The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.
Answer:
the awnser is A
Step-by-step explanation:
I did the test
A bag contains 5 white marbles, 4 black marbles and 1 red mable find the probability of picking a white marble ?
A six-sided die with sides numbered 1 through 6 is tossed 2 times. What is the probability that the product of the two toss results will be even?
The probability of the product being even when two six-sided dice are rolled is 3/4 or 0.75, since there is a 1/2 chance of rolling an even number on each die, and the only way to have an odd product is if both dice show odd numbers.
Explanation:To solve this problem, we will find the probability that the product of two rolls of a six-sided die is even. The product of two numbers is even if at least one of the numbers is even. In the case of a six-sided die, there are 3 even sides (2, 4, 6) and 3 odd sides (1, 3, 5).
For the first roll, the probability of rolling an even number is 3 out of 6, or 1/2. The second roll is independent of the first, so the probability of rolling an even number again is also 1/2. To find the probability that at least one roll is even, we can use the complement rule which states that the probability of an event 'E' is 1 minus the probability of the event's complement. The only way not to get an even product is to roll two odd numbers.
The probability of rolling an odd number on the first toss is 3/6, and similarly 3/6 for the second toss. Therefore, the probability of both being odd is (3/6) × (3/6) which simplifies to 1/4. Hence, the probability of at least one die being even (and therefore the product being even) is 1 - 1/4 = 3/4.
The final answer is that the probability of getting an even product from two rolls of a six-sided die is 3/4 or 0.75.
Which set of side lengths is a Pythagorean triple?
6.
(05.05 LC)
A company rents gym equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting gym equipment for x number of days:
Gym Equipment Rentals
Number of Days
(x) (y)
0 25
1 40
2 55
What is the fixed amount charged? (1 point)
$2
$15
$25
$40
The fixed amount is a price you pay before using equipment. So, it is the price you pay at the 0-th day: 25$.
Then, after one you pay 15 more dollars (25+15=40), and after another day you pay 15 extra dollars again (40+15=55).
So, we can see that the pattern is that you start from $25 (fixed price), and then you pay $15 per day (renting price per day)
Answer:
The answer is 25
Step-by-step explanation:
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An auditorium has 40 rows. the first row has 20 seats and each row after has 2 additional seats. How many seats are there total?
Answer: 20, 22, 24, 26
An arithmetic sequence
a1=20
d=2
98 seats
an arithamtic series
2,360 total seats
Step-by-step explanation: