Tenemos.
Total paginas = 24
Lo que hace Marta = 24/2 = 12
Mara hace 12 paginas
Lo que hace Juan = = 24/3 = 8
Lo que hace Juan es 8 paginas
La fraccion de lo que hizo Marta
12/24 = 1/2
La fraccion de lo que hizo Juan = 8/24 = 1/3
La fraccion de lo que hicieron los 2:
1/2 + 1/3 =
3/6 + 2/6 =
(3 + 2)/6 =
5/6
Lo que hicieron los 2 es 5/6 de 24
Les queda por hacer.
1 - 5/6 =
6/6 - 5/6 =
(6 - 5)/6 =
1/6
Les falta por hacer 1/6 de 24
Las pagina que quedan por hacer son:
24 - 12 - 8 = 4
Faltan por hacer 4 paginas
3(2x+x)/6 > 1/3x+2 solve for x
1)Find all the like terms=3x3x/6>1/3x+2
2)Multiply both sides by six=9x>2x+12
3)Move the variables to the left side and change the sign=9x-2x>12
4)Find the like terms=7x>12
5)Divide by sides by seven=x>12/7
6)Your answer is x>12/7
I hope this helps! :)
A number to the 10th power divide by the same number to 7th power equals 27. What is the number ?
The number that, when raised to the 10th power and divided by the same number to the 7th power equals 27, is 3. This is resolved by simplifying the initial equation to realize that we are looking for the cube root of 27.
Explanation:The question is asking for a number which, when raised to the 10th power and divided by the same number raised to the 7th power, equals 27. Let's denote the number as 'x'. The mathematical representation of this would be x10 / x7 = 27. Since x10 / x7 simplifies to x3, our equation becomes x3 = 27. Now if we solve this, the number 'x' equals the cube root of 27, which is 3.
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Graph 6x-2y=2 ,9x-3y=1
It's a linear function. We need only two points to draw a graph.
We choose any values of x and calculate the value of y.
[tex]6x-2y=2\qquad|-6x\\\\-2y=-6x+2\qquad|:(-2)\\\\y=3x-1[/tex]
for x= 0 → y = 3(0) - 1 = 0 - 1 = -1 → (0, -1)
for x = 2 → y = 3(2) - 1 = 6 - 1 = 5 → (2, 5)
[tex]9x-3y=1\qquad|-9x\\\\-3y=-9x+1\qquad|:(-3)\\\\t=3x-\dfrac{1}{3}[/tex]
for x = 0 → y = 3(0) - 1/3 = 0 - 1/3 = -1/3 → (0, -1/3)
for x = 2 → y = 3(2) - 1/3 = 6 - 1/3 = 5 2/3 → (2, 5 2/3)
Find the complete factorization of the expression. 32xy − 56xyz A) 8xy(4 − 7z) B) −8xy(4 + 7z) C) xy(32 − 56z) D) 8(4xy − 7xyz) Submit
if a>b, what can you say about the locations of a and b on the number line?
In the inequality a>b, 'a' will be located to the right of 'b' on a number line. This is because numbers increase as we move to the right on a number line.
Explanation:If the inequality a>b holds, then the position of a on the number line is to the right of b. This is because on a number line, numbers increase as we move towards the right. Consequently, a larger number will always be to the right of a smaller number.
For instance, if a=5 and b=3, on the number line, the point at 5 (representing a) will be to the right of the point at 3 (representing b). This shows that a is greater than b.
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*Easy question* Susan wants to arrange 4 blocks in a row. How many different arranges can she make?
List all subsets of the following set 1 Point
Answer:
Is it the subset of 1, or other numbers.
Step-by-step explanation:
please be more specific with the question so I can actually answer please, I would try to help but I don't know the question. If you update it It would be more helpful.
To list all subsets of a set, use binary representation to generate all possible combinations by including or excluding each element.
Explanation:A subset is a collection of elements from a set. To list all subsets of a set, we can use the concept of binary representation. Each element in the set can be either included or excluded in a subset. By representing each element as a binary digit, we can generate all possible subsets.
For example, if we have a set {1, 2, 3}, we can represent it as 000, 001, 010, 011, 100, 101, 110, 111, where each digit represents whether the element should be included or not. The subsets are: { }, {1}, {2}, {1, 2}, {3}, {1, 3}, {2, 3}, {1, 2, 3}.
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at which time , 1:35 or 1:38 , do you think opposite rays form?explain
Opposite rays form at 1:38 because the minute hand and the hour hand go towards the opposite direction from the center of the clock.
In the context of an analog clock, opposite rays form when the hour and minute hands point in exactly opposite directions. This doesn't occur at either 1:35 or 1:38. The closest approximation of this situation on a clock is at 6 o'clock.
Explanation:If we use the analogy of a typical analog clock face, opposite rays would form when the minute and hour hands are directly across from each other. For instance, at exactly 6 o'clock the minute and the hour hands on the clock are opposite rays, because they start from the same point (the center of the clock) and extend in opposite directions.
Looking at the times 1:35 and 1:38, neither time is an exact representation of opposite rays. At 1:35, the minute hand is pointing at 7 and the hour hand is somewhere between 1 and 2, which is not directly opposite. At 1:38, the situation is similar, but the minute hand is now pointing at around 8.
So the fact is, opposite rays do not form at either 1:35 or 1:38 in the analog clock representation. Opposite rays are formed when the hour hand is on the six and the minute hand is on the twelve.
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Solve the inequality. Graph the solution -r/3<_6
[tex]-\dfrac{r}{3} \leq6\qquad|\text{change the signs}\\\\\dfrac{r}{3}\geq-6\qquad|\cdot3\\\\r\geq-18[/tex]
What is the ratio between the LCM of 180 and 594 and the GCF of 180 and 594
[tex]180:2=90\\90:2=45\\45:3=15\\15:3=5\\5:5=1\\\\180=\boxed{2}\cdot2\cdot\boxed{3}\cdot\boxed{3}\cdot5\\\\594:2=297\\297:3=99\\99:3=3\\33:3=11\\11:11=1\\\\594=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot3\cdot11[/tex]
[tex]LCM(180,\ 594)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot2\cdot3\cdot5\cdot11=5940\\\\GCF(180,\ 594)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}=18[/tex]
So, the ratio between the LCM of 180 and 594 and the GCF of 180 and 594 is [tex]\(990:1\)[/tex].
To find the ratio between the least common multiple (LCM) and the greatest common factor (GCF) of two numbers, we need to calculate both the LCM and the GCF first.
1. Calculate the LCM of 180 and 594:
The prime factorization of 180 is [tex]\(2^2 \times 3^2 \times 5\)[/tex].
The prime factorization of 594 is [tex]\(2 \times 3^3 \times 11\)[/tex].
The LCM is the product of the highest power of each prime factor:
LCM [tex]\(= 2^2 \times 3^3 \times 5 \times 11 = 5940\)[/tex].
2. Calculate the GCF of 180 and 594:
The common factors of 180 and 594 are [tex]\(2 \times 3 = 6\)[/tex]
So, GCF [tex]\(= 6\)[/tex].
Now, let's find the ratio between the LCM and the GCF:
[tex]\[ \text{Ratio} = \frac{\text{LCM}}{\text{GCF}} = \frac{5940}{6} = 990 \][/tex]
Serena paid a tax of $288 on a house assessed at $48,000. Using the same tax rate, find the tax on a house assessed at $59,000.
Set up a proportion:
$288/$48000 = x/$59000
Cross multiply
16992000 = 48000x
x = 354
The tax on the $59000 house was $354
To find the tax on a house assessed at $59,000 using the same tax rate, we can set up a proportion and solve for the unknown tax value.
Explanation:To find the tax on a house assessed at $59,000 using the same tax rate, we can set up a proportion. The tax paid by Serena is $288 and the house assessed value is $48,000. Let's call the tax on the house assessed at $59,000 as 'x'. The proportion will be:
$$\frac{288}{48000} = \frac{x}{59000}$$
Cross multiplying, we get:
$$288 \times 59000 = 48000 \times x$$
Simplifying, we find:
$$x = \frac{288 \times 59000}{48000}$$
Using a calculator, we can evaluate this to find the tax on a house assessed at $59,000.
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Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
–4x – 2; all real numbers
5x - 6; all real numbers except x = 6/5
–4x – 2; all real numbers except x = 6/5
5x - 6; all real numbers
Solution
f(x) = -20[tex]x^{2}[/tex] +14x + 12 and g(x) = 5x - 6.
(f/g)(x) = [tex]\frac{f(x)}{g(y)}[/tex]
(f/g)(x) = [tex]\frac{-20x^{2}+14x +12 }{5x - 6}[/tex]
Step 1: Now we have to factorize the numerator.
f(x) = -20x^2 + 14x + 12
Factor out -2, we get
= -2 (10x^2 - 7x - 6)
Now we can factorize 10x^2 - 7x - 6
f(x) = -2(2x + 1) (5x - 6)
Step 2: Plug in the factors
(f/g)(x) = [tex]\frac{-2 (2x +1)(5x - 6)}{(5x - 6)}[/tex]
Step 3: Cancel out the common factor (5x - 6) from the numerator and the denominator, we get
(f/g)(x) = -2(2x +1) = -4x -2
Since -4x -2 is linear expression, the domain is all the real numbers.
Therefore, the answer is –4x – 2; all real numbers
Thank you :)
what is the angle measures that are going to be listed least to greatest?
Answer: x = 120°
angles: 60°, 60°, 120°, 120°
Step-by-step explanation:
x + x + [tex]\frac{1}{2}x[/tex] + [tex]\frac{1}{2}x[/tex] = 360°
3x = 360°
x = 120°
[tex]\frac{1}{2}x = \frac{1}{2}(120)[/tex] = 60°
The picture shows the $366 Marquel earned. He divides the money he earns equally into 3 bank accounts: spending money, savings, and donations. Drag the money below to the box to show how much Marquel will deposit into each account.
the distance between two lakes is 300 miles. on a map, the measured distance between the lakes is three-fourths of costs $24.00 for 6 quarts?
1 inch = 400 miles The scale gives the relationship between the measurements of the model and the measurements of the real object. Hope this helps.
What is the ratio of 8:4
Answer:
The Ratio of 8:4 is 2:1Write the equation of a line that is perpendicular to y=5 and that passes through the point (-7,-5)
The line y = 5 is a horizontal line. A line perpendicular to a horizontal line is a vertical line. The vertical line that passes through point (-7, -5) has equation x = -7.
Answer: x = -7
If f(x) = 2x2 – 5 and g(x) = 3x + 3, find (f – g)(x).
2x² - 3x - 8
note that (f - g)(x) = f(x) - g(x) = 2x² - 5 - 3x - 3 = 2x² - 3x - 8
A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is 6.5 degrees? What is the altitude of the plane? Round your answer to the nearest tenth of a mile.
tan(6.5) * 4 = .9 or .88110880134
Answer:
h≈0.5 mi. (to nearest tenth of a mile)
Step-by-step explanation:
tan6.5=h/4
h=4tan6.5 mi
h≈0.5 mi. (to nearest tenth of a mile)
Marco earns $36.50 per hour as an accountant show that the relationship between that amount he earns and the number of hours he works is a proportional relationship. Then write an equation for the relationship. If he works 8 hours a day how much does he earns in a 5-day work week
Multiply 36.50 by 8 and then multiply that answer by 5 to get your answer
$1,460 a week
36.50 by 8 multiply the answer by 5 to get your answer $1,460 a week
A city library has 9440 non-fiction books The Librarian wants to divide the books evenly among easy 80 shelves How many books will be on each self
118 book on each shelf 9440 divided by 80=118
Answer: There are 118 books on each shelf.
Step-by-step explanation:
Since we have given that
Number of non fiction books a library has = 9440
Number of shelves = 80
So, Number of books on each shelf would be
[tex]\dfrac{\text{Number of non fiction books}}{\text{Number of books on each shelf}}[/tex]
[tex]\dfrac{9440}{80}\\\\=118[/tex]
Hence, there are 118 books on each shelf.
A VHS tape holds at most 360 minutes. A tape already has a 120 minute movie on it. How many 30 minute sitcoms can be recorded on the remaining tape?
There are 8 sitcoms that can be recorded on the remaining tape.
Explanation:To find out how many 30-minute sitcoms can be recorded on the remaining tape, we need to subtract the duration of the existing movie from the maximum capacity of the VHS tape. So, 360 minutes - 120 minutes = 240 minutes remaining. Since each sitcom is 30 minutes long, we can divide the remaining time by 30 to find out the number of sitcoms: 240 minutes ÷ 30 minutes = 8 sitcoms can be recorded on the remaining tape.
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Cheyenne is playing a board game her score was -275 at the start of her turn and at the end of her turn her score was -425 what was the change in Cheyenne score from the start of her turn to the end of her turn
Another -150 was added to her score
The answer is -150.................................
-425-(-275)=-150
The different between twice a number and a number that is 5 more than it is 3.
1) 2n-n+5=3.
2) n-(2n+5)=3.
3) n+5-2n=3.
4) 2n-(n+5)=3
Answer:
Answer 4
Step-by-step explanation:
the rectangle has a total area of (4x + 36) square feet. factor 4x+ 36
4x + 36 = 4(x + 9)
Hope this helps
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A function is a special kind of relation in which each value of the input variable is paired with exactly __________ value(s) of the output variable.
Answer: One
Why? In math a function is something that works and is paired with exactly one input value and one output value.
please number 13 and 15
13.
y - the amount from the sale
x - a number of tickets
y = 5x + 40
Domain: x ∈ {0, 1, 2, 3, 4, 5}
Range = {40, 45, 50, 55, 60, 65}
15.
y - the cost of renting a law firm
x - a number of hour
y = 100x + 300
Domain: x ∈ {1, 2, 3}
Range = {400, 500, 600}
Jesse is building a spice rack. He cuts three lengths of wood from a 90-centimeter board. The first length is 23.5 centimeters. The second length is 33.3 centimeters. And the third length is 19.45 centimeters. How much of the original board remains after Jesse makes his cuts? A. 13.75 centimeters B. 76.25 centimeters C. 33.2 centimeters D. 3.75 centimeters
Since, Jesse is building a spice rack.
The total length of wood = 90 centimeters
He cuts the board into three parts.
The length of the first part = 23.5 cm
So, remaining length of the board = [tex]90 - 23.5[/tex] = 66.5 cm
Now, he cuts the second part.
The length of the second part = 33.3 cm
So, now remaining part of the board = [tex]66.5 -33.3[/tex] = 33.2 cm
Now, he cuts the third part of the board.
The length of the third part = 19.45 cm
Now, the remaining part of the board = [tex]33.2-19.45[/tex] = 13.75 cm
So, the length of the original board after cutting the three parts = 13.75 cm
So, Option A is the correct answer.
Answer:
Step-by-step explanation:
So, the length of the original board after cutting the three parts = 13.75 cm
So, Option A is the correct answer.
The theater is sold 1456 tickets at the theater sold six times as many regular price tickets as it’s all discount tickets
To find the answer you divide the whole amount of 1456 by 7 since there is the 1 regular priced group and the remaining 6 discounted priced ticked. When you divide the 1456 by 7 it comes out to be 208 and to find the amount of the group of 6 you would multiply the 208 times the 6 and that will give you the amount of the dicount tickets sold. which is 1248.
**PLEASE HELP ME WITH THIS MATH PROBLEM**
For this case we have:
By definition, a mathematical function is the correspondence or relation f of the elements of a set A with the elements of a set B. A function fulfills the condition of existence (all the elements of A are related to the elements of B) and with the condition of uniqueness (Each element of A is related to a single element of B).
That said, we can conclude that the relationship shown in the table defines a function of the form [tex]y = f (x)[/tex]
By definition, the domain of a function is represented by the input elements of it.
Thus, the domain is given by Domain: (m, n, p, q)
Answer:
Yes, Domain: (m, n, p, q)
Option A