A number x is such that dividing the number by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10. Write down and solve an equation satisfied by x. Enter your answer in the box below as a number, rounded to one decimal place if necessary.
Answer:
x = 2
Step-by-step explanation:
You want x such that dividing by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10.
Setup(x/5) +2 . . . . the value after dividing by 5 and adding 2
(x +22)/10 . . . . the value after adding 22, then dividing by 10
These two outcomes are the same:
x/5 +2 = (x +22)/10
SolutionMultiplying the equation by 10 gives ...
2x +20 = x +22
x = 2 . . . . . . . . . . . . subtract x+20
The number is x = 2.
__
Additional comment
The outcome in each case is 2.4.
Solve using substitution.
y = x + 1
y = 2x + 9
Answer:
x=-8; y=-7
Step-by-step explanation:
x+1=2x+9
suy ra x=-8
thay x vào y=x+1
suy ra y=-7
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
When Louis Brandeis graduated from Harvard Law School, he immediately established a
reputation in Boston as an attorney who would accept cases
Later appointed
does the point (0,-4) lie on the line
Answer: Yes.
Step-by-step explanation: Because if it is 0 on the x axis then no matter what the Y number is it will be on the line.
Suppose f(x)=5-x2 and g(x)=2x.
Find the value of f(1)g(1)
Answer:
i do not know i am not good at maths so pls find someone else to ask the question not me please sorry
5 + 7x = 4x + 8 What is it?
Answer:
X=1
Hope that helps
What is the value of the following expression: (A−B={})⇒¬(A⊂B) False (regardless of how A and B are defined) True (regardless of how A and B are defined) depends on how sets A and B are defined What is the value of the following expression: ((A∩B)=(A∪B))⇒(A=B) True (regardless of how A and B are defined) depends on how sets A and B are defined False (regardless of how A and B are defined) What is the value of the following expression: (A∈B)⇒¬(A⊆B) False (regardless of how A and B are defined) depends on how sets A and B are defined True (regardless of how A and B are defined)
The value of the first expression is: depends on how sets A and B are defined.
The value of the second expression is: True (regardless of how A and B are defined).
The value of the third expression is: False (regardless of how A and B are defined).
(A−B={})⇒¬(A⊂B). This expression is a conditional statement that says if the set difference between A and B is an empty set, then A is not a subset of B. If A and B are defined such that A is not a subset of B, then the expression is true. If A and B are defined such that A is a subset of B, then the expression is false. However, if A and B are defined such that A−B={} is true (i.e., A and B have no elements in common), then the expression is true regardless of whether A is a subset of B or not.((A∩B)=(A∪B))⇒(A=B).This expression is also a conditional statement that says if the intersection of A and B is equal to their union, then A is equal to B. This expression is always true, regardless of how A and B are defined. This is because if the intersection of two sets is equal to their union, then the two sets must have the same elements.(A∈B)⇒¬(A⊆B).This expression says that if A is an element of B, then A is not a subset of B. This expression is false regardless of how A and B are defined. This is because if A is an element of B, then A is also a subset of B (i.e., A⊆B). Therefore, the negation of A⊆B (i.e., ¬(A⊆B)) is always false.Learn more about sets here:https://brainly.com/question/13458417
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Probability that an applicant will have Master's degree is 1/3 and probability that he will not have work experience is 4/9. If the probability that he will have at least one characteristic is 1/5, what is the probability that he will have both characteristics?
Answer:
1/45
Step-by-step explanation:
Let A be the event that the applicant has a Master's degree and B be the event that the applicant does not have work experience.
Then, we are given:
P(A) = 1/3
P(not B) = 4/9
P(at least one characteristic) = P(A or B) = 1/5
We want to find P(A and not B), which is the probability that the applicant has a Master's degree but no work experience.
Using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
We can rearrange to solve for P(A and B):
P(A and B) = P(A) + P(B) - P(A or B)
P(B) = 1 - P(not B) = 1 - 4/9 = 5/9
Substituting in the given probabilities:
1/5 = 1/3 + 5/9 - P(A and B)
Solving for P(A and B):
P(A and B) = 1/3 + 5/9 - 1/5
P(A and B) = 1/45
Therefore, the probability that the applicant will have both characteristics (a Master's degree and no work experience) is 1/45.
This is urgent 1. In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees.
How many monkeys are in the trees? Use a 10-squares model to explain your answer.
please answer
Answer:
30 Monkeys 50 trees
explanation:
Your welcome
The number of monkeys in the trees is 24.
What are percentages?Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
The number of monkeys in the trees = 60% x 40
= 0.6 x 40 = 24
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NO LINKS!! URGENT HELP!!
Calculate the perimeter of the following figures.
Answer:
Quadrilateral: 20.5 units
Triangle: 8.6 units
Step-by-step explanation:
Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.
Perimeter = AB + BC + CD + DA
where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.
In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).
Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:
\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)
\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)
\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)
\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)
Therefore, the perimeter of the quadrilateral is:
Perimeter = AB + BC + CD + DA
= \(4+5+2\sqrt5+7=20.5\) units
Triangle
The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:
Perimeter = AB + BC + CA
where AB, BC, and CA are the lengths of the three sides of the triangle.
In your case, the coordinates of the vertices of the triangle are
E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:
\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)
\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)
\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)
Therefore, the perimeter of the triangle is:
Perimeter = EF + FG + EG
= 4 + 1 + \(\sqrt{13}\)
=8.6 units
Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units
What meaning of the statement this?
Note that the notation "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.
What is the explanation of this ?∪C : This represents the union (∪) of the sets in C.
{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.
It states that an element x belongs to the union of sets in C if and only if x belongs to at least one set S that is an element of the set C.
= ∪{ S:S ∈ C} : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.
In summary, the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.
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2.Original A ABC: A(1, 2), B(3, 4), C(3, 2) First image: A
A'B'C': A' (2, 21), B'(4, 23), C '(2, 23) Final image AA"B"C":
A"(21, 3), B"(1, 1), C "(21, 1)
What are rules for these images? (65 points)
9514 1404 393
Answer:
as written
first image: (x, y) ⇒ (y, x+20)second image: (x, y) ⇒ (-10x+41, -y+24)overall: (x, y) ⇒ (-10y +41, -x+4)with B"(19,1)
first image: (x, y) ⇒ (y, x+20)second image: (x, y) ⇒ (-x+23, -y+24)overall: (x, y) ⇒ (-y+23, -x+4)Step-by-step explanation:
The transformation (x, y) ⇒ (ax+by+c, dx+ey+f) can be written as a square matrix ...
\(T=\left[\begin{array}{ccc}a&b&c\\d&e&f\\0&0&1\end{array}\right]\)
operating on a triangle's coordinates ...
\(P=\left[\begin{array}{ccc}x_1&x_2&x_3\\y_1&y_2&y_3\\1&1&1\end{array}\right]\)
That is, ...
P' = T·P
Post-multiplying by P⁻¹ gives the transformation matrix:
T = P'·P⁻¹
__
For the transformation from the original image P to the first image P', we have ...
\(T_1\cdot\left[\begin{array}{ccc}1&3&3\\2&4&2\\1&1&1\end{array}\right] =\left[\begin{array}{ccc}2&4&2\\21&23&23\\1&1&1\end{array}\right] \ \Rightarrow\ T_1=\left[\begin{array}{ccc}0&1&0\\1&0&20\\0&0&1\end{array}\right]\)
This represents a reflection across y=x followed by translation upward 20 units.
The transformation from the first image P' to the second image P" is then ...
\(T_2\cdot\left[\begin{array}{ccc}2&4&2\\21&23&23\\1&1&1\end{array}\right] =\left[\begin{array}{ccc}21&1&21\\3&1&1\\1&1&1\end{array}\right] \ \Rightarrow\ T_2=\left[\begin{array}{ccc}-10&0&41\\0&-1&24\\0&0&1\end{array}\right]\)
This represents a reflection across the origin, a horizontal stretch by a factor of 10, then a translation right 41 and up 24.
The original, first image, and second image are plotted in red, green, and blue in the first attachment,
Perhaps more conventionally described, the transformations are ...
first image: (x, y) ⇒ (y, x+20)second image: (x, y) ⇒ (-10x+41, -y+24)overall: (x, y) ⇒ (-10y +41, -x+4)_____
If the coordinates of B" represent a typo, and if the intended coordinates are B"(19, 1), then the second transformation is ...
\(T_{2a}\cdot\left[\begin{array}{ccc}2&4&2\\21&23&23\\1&1&1\end{array}\right] =\left[\begin{array}{ccc}21&19&21\\3&1&1\\1&1&1\end{array}\right] \ \Rightarrow\ T_{2a}=\left[\begin{array}{ccc}-1&0&23\\0&-1&24\\0&0&1\end{array}\right]\)
This, too, is a reflection across the origin, followed by a translation right 23 and up 24. There is no stretching involved here. The conventional description of the transformations might be ...
first image: (x, y) ⇒ (y, x+20)second image: (x, y) ⇒ (-x+23, -y+24)overall: (x, y) ⇒ (-y+23, -x+4)The images are shown in the second attachment.
_____
Additional comment
The equations for the transformations can be solved by hand, but it is more convenient to use a machine solver of some sort. Many spreadsheet programs have the ability to create an inverse matrix and to multiply matrices. Many graphing calculators can do this, too. On-line solvers are available for the same purpose.
(12²-15+17)+16= what is the answer
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
Please help me out :c I am also marking brainliest
Answer :
Step by step explanation
A pet store increases the price of a bag of dog food by 5%
If the increase in price is $2.00, what is the new price for dog food?
Answer:
$42.00
Step-by-step explanation:
We can represent the given information as a ratio:
% of original price : price
5% : $2.00
Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.
5% : $2.00
↓ × 20 ↓ × 20
100% : $40.00
Now that we know the original price, we can add $2.00 to get the new price.
$40.00 + $2.00 = $42.00
At a local pizzeria, a pizza with one topping is 9.99. You can add additional toppings for 1.25 each. The pizzeria's menu lists 10 different toppings. Write a function C(x) that represents the cost of a pizza with at least one topping, where x is the number of toppings. Find the domain and range.
The function C(x) that represents the cost of a pizza with at least one topping, where x is the number of toppings is C(x) = 9.99 + 1.25x
The domain is x >= 0 and the range is c(x) >= 9.99
Write a function C(x) that represents the cost of a pizza with at least one topping, where x is the number of toppings.The given parameters are:
One topping = 9.99
Additional topping = 1.25 each
We have x to represent the number of toppings
This means that
C(x) = One topping + Additional topping * x
So, we have
C(x) = 9.99 + 1.25x
How to find the domain and range?We have
C(x) = 9.99 + 1.25x
The smallest number of topping is 0
So, the domain is x >= 0
Substitute 0 for x in C(x) = 9.99 + 1.25x
C(0) = 9.99 + 1.25(0)
This gives
C(0) = 9.99
So, the range is c(x) >= 9.99
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Answer:
C(x) = 8.74 + 1.25x
Domain: 1 ≤ x ≤ 10
Range: [9.99, 21.24]
Step-by-step explanation:
a) We need to find the function C(x) that represents the cost of a pizza with at least one topping, where x is the number of toppings.
We know that a pizza with one topping is $9.99 and that you can add additional toppings for 1.25 each.
So the equation is C(x) = 9.99 + 1.25x right?
Not really... Since $9.99 is the price of a pizza and 1 topping, we need to subtract 1 from x otherwise we would be paying for a pizza with 2 toppings when we had ordered a pizza with 1!
So the new equation is:
C(x) = 9.99 +1.25(x - 1)
or, C(x) = 9.99 + 1.25x - 1.25
or, C(x) = 1.25x + 8.74
b) We need to find the Domain of C(x).
We know that the pizzeria's menu lists 10 different toppings and that a pizza has at least one topping.
So we can choose up to 10 different toppings. And we need at least 1 topping.
∴ Domain is 1 ≤ x ≤ 10.
b) We need to find the Range of C(x).
We know that the domain of C(x) is 1 ≤ x ≤ 10, and that a pizza with 1 topping is $9.99.
Since we already know the minimum (9.99) all we have to do is find the maximum. We can do that by plugging in 10 into C(x) since it is the maximum of our domain.
C(10) = 1.25(10) + 8.74
or, C(10) = 12.50 + 8.74
or, C(10) = 21.24
∴ Range of C(x) = [9.99, 21.24]
Answer:
C(x) = 8.74 + 1.25x
Domain: 1 ≤ x ≤ 10
Range: [9.99, 21.24]
A travel agent receives a 9% commission on the base fair of a customer- that is the fair before sales tax is added if the total fare charged to a customer comes to $784.59 including 5.5% sales tax, how much commission should the agent receive?
Answer:
98 he should receive yodjct7
LITERALLY ANYONE PLEASEEE HELP
CAN U TELL ME
A, B, C, OR D
The transformation from f(x) to g(x) is (b) a rotation and a translation
How to determine the transformation from f(x) to g(x)From the question, we have the following parameters that can be used in our computation:
f(x) = x
g(x) = 1/9x - 2
First f(x) = x is transformed to f'(x) = 1/9x
This transformation is a rotation
Next, f'(x) = 1/9x is transformed to g(x) = 1/9x - 2
This transformation is a translation
This means that the transformation from f(x) to g(x) is a rotation and a translation
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sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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WILL GIVE BRAINLIEST!
Which is the asymptote of the graph?
y = 0
y = −3
y = −2
y = −1
Answer:
y = -2
Step-by-step explanation:
_____________________
Find the given side length. Round
your answer to a whole number.
b =
17
Your answer
b
23°
*
1 point
Answer:
b=7
Step-by-step explanation:
17 = opp b = adj so TOA
17 x tan(23) = 7.216071876
= 7 (to the nearest integer)
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The greatest common divisor of 5! and 7! is 840.
To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.
First, let's calculate the prime factorization of 5!:
5! = 5 * 4 * 3 * 2 * 1 = 120.
The prime factorization of 120 is 2^3 * 3 * 5.
Now, let's calculate the prime factorization of 7!:
7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.
The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.
To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.
From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:
GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.
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Find the volume of the irregular figure. 1 cm 5 cm 1 cm 6 cm 4 cm 10 cm 12 cm [?] cm ³ Enter
The volume of the irregular figure is solved to be
78 cubic centimetersHow to find the volume of the irregular figureThe volume of the irregular figure is solved by the formula
= area of the figure * thickness
The area of the figure is solved by dividing the firue into regular shapes and this will result to two rectangles
Area of the first rectangle
= length x width
= 4 * (12 - 5)
= 4 * 7
= 28 square centimeters
Area of the second rectangle
= 10 * 5
= 50 square centimeters
Total area = 50 + 28 = 78
volume = 78 * 1 = 78 cubic centimeters
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There are 20 chocolate candies in a bag.
What is the probability of reaching in the
bag and pulling out a chocolate candy?
Answer:
A
Step-by-step explanation:
20/20 X 100 = 100%
have a good day
Please answer this correctly
Answer:
14.3%
Step-by-step explanation:
There is only one four out of 7 total numbers.
1/7 = 0.142857 = 14.29%
We are given 7 numbers.
4 is only one card in that 7 card set so, 1/7.
1/7 = 0.1428
0.1428 * 100% = 14.28%
Therefore, the answer is roughly 14.3%
Best of Luck!
Mark can make 42birthday cakes in 7 days.
How many birthday cakes can Mark make in 5 days?
Answer:
30 birthday cakes
Step-by-step explanation:
42÷7=6
6×5=30
Determine what to charge a customer for two cans of soda if the price per six-pack is $2.79.
Answer:
.92 cents for two cans
Step-by-step explanation:
if a six pack is $2.79, divide by six to see how much they cost individually, which is .46 so multiple .46 times 2 for two cans.
Jenna bought some apples for $1.25 per pound and some avocados for $4 per pound. Altogether, she spent $14. 25 for 7 pounds of apples and avocados. What is the total number of pounds of avocados Jenna bought?
A. 1
B. 2
C. 3
D. 4
E. 5
The total number of pounds of avocados Jenna bought is B. 2
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Assuming Jenna bought x pounds of apples and y pounds of avocados.
Altogether she bought 7 pounds of apples and avocados.
∴ x + y = 7...(i)
Altogether, she spent $14. 25.
∴ 1.25x + 4y = 14.25...(ii)
Now multiplying eqn(i) by 1.25 and subtracting from eqn(ii) to cancel out the variable x, we get
2.75y = 5.5.
y = 2 pounds of avocados and hence 5 pounds of apples.
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