The amount of money that Ahmed gave to his brother is AED 140.
It is given in the question that Ahmed has AED 180. He gives his brother 0.7 with bar notation of the amount he has.
We have to find the amount given by Ahmed to his brother.
Here, we have to convert a non-terminating but recurring rational number into fraction form.
Let 0.7 bar = x
Multiplying the equation by 10, we get
7.7 bar = 10x
10x - x = 7.7 bar - 0.7 bar
9x = 7
x = 7/9
Hence, Ahmed gave 7/9 of the amount he had to his brother.
Hence, we can write,
Amount given to Ahmed's brother by Ahmed = (7/9)*180 = AED 140.
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What transformations take f(x)=3x+1 to g(x)=-3x-5?
The transformation is:
g(x) = -f(x) - 4
So is a reflection across the x-axis followed by a translation of 4 units downwards.
What transformations take f(x) to g(x)?Here we have the two functions:
f(x) = 3x + 1
g(x) = -3x - 5
So we start at f(x), first we apply a reflection across the x-axis so we change the sign to get:
g(x) = -f(x) = -3x - 1
Now we can apply a translation of 4 units downwards so we get:
g(x) = -f(x) - 4 = -3x - 1 - 4 = -3x - 5
And in this way we transformed f(x) into g(x).
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list two ways you can maximize a tax-sheltered retirement program
The ways that you can maximize a tax-sheltered retirement program include:
1. when the contributions made by the employer are not taxable
2. when the employee has started making contributions early in life,
What is a tax-sheltered retirement?A tax-sheltered is a retirement savings plan that enables self-employed individuals and workers of tax-exempt organizations to invest pretax money to create retirement income. A dependable source of income in retirement, tax-sheltered annuities are made to pay out consistently throughout time.
The fact that employer contributions are tax-free is one of the best features of retirement programs. Only when an employee takes money out of their retirement accounts do taxes need to be paid. If the employee starts making contributions early in life, the plans also allow the employee the chance to maximize returns, which is another benefit that the employee can get from them.
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Find (g∘w)(x)and (w∘g)(x)for g(x)=7x−4 and w(x)=x2−7x+3(g∘w)(x)=(w∘g)(x)=
In order to calculate the composite function (gow)(x), that is, g(w(x)), we need to use w(x) as the input (value of x) in the function g(x).
So we have:
[tex]\begin{gathered} g(x)=7x-4 \\ g(w(x))=7w(x)-4 \\ g(w(x))=7(x^2-7x+3)-4 \\ g(w(x))=7x^2-49x+21-4 \\ g(w(x))=7x^2-49x+17 \end{gathered}[/tex]Now, calculating (wog)(x), we have:
[tex]\begin{gathered} w(x)=x^2-7x+3 \\ w(g(x))=g(x)^2-7g(x)+3 \\ w(g(x))=(7x-4)^2-7\cdot(7x-4)+3 \\ w(g(x))=49x^2-56x+16-49x+28+3 \\ w(g(x))=49x^2-105x+47 \end{gathered}[/tex]Helllllppppp plssssssssss
Answer:
A. Opens up with a vertex at (-3, -4)
Step-by-step explanation:
y = (x + 3)² - 4
Vertex: (-3, -4)
Min: y = -4
min = up
I hope this helps!
The given equation represents the equation of a parabola and it represents the curve open up with vertex (-3, -4).
Hence, option A is correct.
A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
The given equation is:
y = (x +3)² - 4
Since we know that,
An equation of the parabola is
y = a(x - h)² + k
Where (h, k) is the vertex.
Comparing these equations we get
a = 1
h = -3
k = -4
So, its vertex is (h, k) = (-3, -4)
Hence,
The graph opens up with vertex (3, -4).
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All real number that are less than -3 or greater then or equal to 5
Answer:
If I assume that I can use x to mean "all real numbers that are less than -3 or greater than or equal to 5",
Then I can write this as follows: x<-3 and x>=5
This includes all whole numbers (or integers), all fractions (or rational numbers), and all numbers that cannot be expressed as fractions such as pi, or the square root of 29 (or irrational numbers).
Could somebody help me please how did they get this answer
What is the slope of the line?
You can use the formula to help.
◄) slope =
11
3/2 - Y1
2₂-1
?
10043
90
80
70
60
50
40
30
20
10
0
0 1
2
3
(4, 100)
(3,75).
4
5 6 7 8
9
H
10
The slope of the given line is m =25.
The two points of the given line is (3,75) and (4,100).
The slope of the given line can be found using the formula point-slope equation.
y₂-y₁ = m(x₂-x₁)
We need to find the slope, so let us rearrange the equation,
m = y₂-y₁ / x₂-x₁
where (x,₁y₁) and (x₂,y₂) is (3,75) and (4,100) respectively
So let us substitute these values in the above equation, we get
m = 100 - 75 / 4 -3
m = 25/1
m = 25
Therefore, the slope of the line passing through the point (3,75) and (4,100) is 25
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A student calculated that a toy cart would roll 15.6 centimeters before stopping. After conducting an experiment, she found that her calculation had a 30% error. What are two possible values for the actual distance that the toy cart rolled before stopping?
Possible values for the actual distance that the toy cart rolled before stopping with 30% error in the calculation conducted earlier is equal to 10.92centimeters.
As given in the question,
Distance covered by toy cart before stopping =15.6
Percentage of error found in calculation= 30%
30% of 15.6
= (30/100) × 15.6
= 4.68cm
Possible value for the actual distance that toy cart rolled before stopping
= Calculated distance - error distance
= 15.6 -4.68
=10.92centimeters
Therefore, possible values for the actual distance that the toy cart rolled before stopping with 30% error in the calculation conducted earlier is equal to 10.92centimeters.
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The two-way table shows information about the subjects studied by
some people.
a)
b)
Male
Female
Total
Chemistry Biology Physics
12
14
16
16
28
20
34
12
28
Total
42
48
90
How many people are male OR study Biology OR both?
What is the probability that any person is male OR
studies Biology OR both?
Part (a)
We can add the total number of males and the total number of students who take biology, and then subtract the intersection.
[tex]42+34-14=62[/tex]
Part (b)
There are 90 people in all, so the probability is [tex]\frac{62}{90}=\frac{31}{45}[/tex]
A circle has a radius of 23 centimetres.
Work out an estimate for the area of the circle.
Answer: 1.662E-7 square kilometers
Step-by-step explanation:
A circle of radius = 23 or diameter = 46 or circumference = 144.5 cm has an area of: 1.662E-7 square kilometers (km²) 0.1662 square meters (m²)
If 5.2 cm= 96% what does 4cm equal?
We calculate the ratio (in percentage) of 5.2cm to 4cm
5.2 : 4 = 1.3
Because 4cm is 1.3x less than 5.2, its percentage must also be 1.3x less than 96%
-> 4cm = 96% : 130% = approx. 73.85% (2 d.p)
Find "x"
(ignore the writing around it lol)
PLEASE HELP ITS ANNOYING ME
The Value of X = 7.16 ( approximate value)
what is right triangle?A triangle with a right angle (i.e., a 90-degree angle), two perpendicular sides, or both is referred to as a right triangle (American English), a right-angled triangle (British), or more formally as an orthogonal triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.The hypotenuse is the side that is opposite the right angle. Legs are the sides that are close to the correct angle (or catheti, singular: cathetus).A right triangle is considered to be a Pythagorean triangle and its three sides are referred to as a Pythagorean triple if the lengths of all three of its sides are integers.To learn more about : Right-angled triangle
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Factor out the coefficient of the variable term. -6y - 18
Answer:
-6(y+3)
Step-by-step explanation:
If p(x) = ax²-3x+10, for what value(s) of a is p(-2) = f(g(-2))? May you explain how you did this.
Answer:
If p(x) = ax²
-3x+10
p(-2) =
f(g(-2))
Does anyone know the answer to (2n -9) - (2.4n +4)? It's for homework!!
The difference between the expressions (2n -9) - (2.4n +4) is -0.4n-13
What is an algebraic expression?An algebraic expression can be defined as an arithmetic expression made up of variables, coefficients, terms, factors and constants.
They are also known to be composed of mathematical operations which may include;
MultiplicationSubtractionDivisionBracketAdditionParentheses, including other operations.Given the expressions;
(2n -9)(2.4n +4)Let's determine their difference
(2n -9) - (2.4n +4)
expand the bracket
2n - 9 - 2.4n - 4
collect like term
2n - 2.4n -4 -9
Subtract like terms
-0.4n - 13
Hence, the difference is -0.4n - 13
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10) There are 5 times as many fiction books in the class library as there are nonfiction books. The number of information books is 7 more than the sum of the number of fiction and nonfiction books. There are 19 information books in the library. How many nonfiction books are there? How many fiction books are there?
The number of fiction and non fiction books are 10 and 2 respectively.
How to find the number of fiction and non fiction books?There are 5 times as many fiction books in the class library as there are nonfiction books.
Therefore,
let
x = number of non fiction book.
number of fiction book = 5x
The number of information books is 7 more than the sum of the number of fiction and nonfiction books.
Therefore,
number of information book = 7 + x + 5x
number of information book = 7 + 6x
There are 19 information books in the library.
Hence,
19 = 7 + 6x
19 - 7 = 6x
6x = 12
x = 12 / 6
x = 2
Therefore,
The number of non fiction book = 2
The number of non fiction book = 5(2) = 10
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find the value of $a 2 a 4 a 6 \dots a {98}$ if $a 1, a 2, a 3, \dots$ is an arithmetic progression with common difference 1, and $a 1 a 2 a 3 \dots a {98}
value of a2+a4+a6+……+a98 IS EQUAL TO 93.
Given, the common difference (d) =1
Let a1=a Given, a1+a2+……+a98=137
⇒(98/2)(2a+97)=137 [Sn=n/2[2a+(n−1)d]
⇒2a+97=137/49…eq.(1)
a2+a4+…+a98 (n=49 terms)
a2+a4+…+a98=49/2(a2+a98)
a2+a4+…+a98=49/2[(a+1)+a+97]
a2+a4+…+a98=49/2[2a+97+1]
a2+a4+…+a98=49/2[(137/49)+1] [using eq. 1]
a2+a4+…+a98=137/2+49/2
a2+a4+…+a98=186/2 =93
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Please give me some help
1. In △NBA, BO is a median. If NO=x+3 and OA=2x-9, what is the value of x?
2.In △MTV, TPis an angle bisector. If m∠MTP=12 and m∠MTV=3x-3, find the value of x.
Answer:
Step-by-step explanation:
1 . In the given triangle ΔNBA BO is a median.
By applying the property of median it divides the opposite side into two equal parts.
Therefore,
NO = OA ...(a)
We have,
NO = x+3 and OA = 2x-9
from (a)
NO = OA
x+3 = 2x-9
∴ 3+9 = 2x-x
∴ x = 12
∴ The Value of x is 12.
Que 2 - In ΔMTV
Given - TP is an angle bisector
m∠MTP = 12 , m∠MTV = 3x - 3.
Ans - TP is an angle bisector which means it divides the angle into two equal parts. (By angle bisector theorem)
∴ m∠MTP = m∠VTP ..... (a)
m∠MTV = m∠MTP + m∠VTP
∴m∠MTV = 2(m∠MTP)
∴3x-3 = 2(12)
∴3x-3 = 24
∴3x = 24 + 3
∴3x = 27
∴ x = 27/3
∴ x = 9
∴ The Value of x is 9.
His recipe makes 12 hamburger sliders, but he wants to make 78 sliders. The recipe calls for 1 ¾ pound of ground beef to make 12 hamburger sliders. Michael has 7 pounds of ground beef. Does he have enough to make 78 sliders?
Answer:
No, he can only make 48 sliders with 7 pounds of ground beef.
He would need about 12 pounds to make 78 sliders
Step-by-step explanation:
Helpp explain how you got that answer
Answer:
1
Step-by-step explanation:
Flip 10/25 to become 25/10 and times it by 2/5
The Sweet Slice pie shop sells organic pies with locally-sourced ingredients. One night after work, Lester brings home part of a bumbleberry pie to share between his mom, dad, sister, and himself. Lester cuts the leftover pie into 4 equal parts, and each family member gets 1 6 of a whole pie.
Based on the number of equal parts that Lester divided the cake into such that each family member got 1/6 of the whole pie, the proportion of the part of the leftover pie that Lester brought home was 2 / 3
How to find the amount of cake brought back?Lester brought back part of some pie from the Sweet Slice pie shop, and then divided it into 4 equal parts for his family. This led to the family getting 1/6 of the pie each.
To find out how much of the total pie that Lester brought back from Sweet Slice pie shop, you need to add the proportions received by his family:
= 1 / 6 + 1 / 6 + 1/ 6 + 1/6
= 4 / 6
At the simplest form this is:
= 4 / 6
= 2 / 3
Rest of the question is:
How much of the pie had Lester brought back from the pie shop?
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20% of Señora Clara's students are going to Spain for a semester. If 60 students are going to Spain, how many students does Señora Clara have in all?
The number of students in Señora Clara is 300 students
How to calculate the number of students in Señora Clara ?20% of Señora Clara's students are going to Spain for a semester
60 students are going to spain
The number of students in Señora Clara can by first calculating the percent of 20
20/100
= 0.2
Next is to divide 0.2 by 60
60/0.2
= 300
Hence there are 300 students in Señora Clara
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What is the product of 28x32
Answer:
896
Step-by-step explanation:
28x32 gives u 896 so that will b your product
a cellular phone company offers several different service options. one option, for people who plan on using the phone only in emergencies, costs the user $4.90 per month plus $0.52 per minute for each minute the phone is used. (a) write a linear function for the monthly cost y of the phone in terms of the number of minutes x the phone is used.
52x - 100y + 490 = 0 , is the required linear function.
What does the term "linear function" mean?
A mathematical function where the variables only occur in the first degree, where the constants are multiplied, and where the only possible combinations are addition and subtraction.
Given, the monthaly cost = y
the number of minute used = x
Hence,
the monthly cost of the phone = (4.90 + 0.52 × the number of minute used)
Given the monthly cost = y
the number of minute used = x
Hence y = 4.90 + 0.52 * x
or y = [tex]\frac{490}{100} + \frac{52}{100 } * x[/tex]
or 100y = 455 + 52x
or 52x - 100y + 490 = 0 , is the required linear function.
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Which table shows a proportional relationship? Responses b 2 3 8 9 14 c 4 6 16 18 28b 2 3 8 9 14 c 4 6 16 18 28 , x 1 2 3 4 5 y 4 5 6 7 8x 1 2 3 4 5 y 4 5 6 7 8 , p 1 3 5 7 9 q 3 7 11 15 19p 1 3 5 7 9 q 3 7 11 15 19 , r 2 3 4 5 6 s 3 5 6 8 9
The tables that shows a proportional relationship include the following:
x 1 2 3 4 5
y 4 5 6 7 8
p 1 3 5 7 9
q 3 7 11 15 19
What is a proportion?A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.
In Mathematics, the graph of any proportional relationship is characterized by a straight line because as the values on the x-axis (x-coordinate) increases or decreases, the values on the y-axis (y-coordinate) increases or decreases simultaneously as shown in tables B and C.
In conclusion, tables B and C comprises data values that shows proportional relationship in a graph.
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Please help me ill give brainly to best answer
Assuming they work until their cost become the same, obviously.
The difference between the first charge of painter A and painter B = 376 - 280 = 96.
The hourly cost difference between painter B and painter A = 15 - 12 = 3.
So, painter A in the first hour has 96 more dollars than painter B, and as every hour pass, the difference goes down by 3 (as painter B gets 3 more dollars every hour)
Therefore, it would take 96 : 3 = 32 hours for the cost to be the same
Recheck : After 32 hours, painter A has 376 + 32 x 12 = 760 (dollars)
painter B has : 280 + 15 x 32 = 760 (dollars)
PLS HELP ASAP!!! WILL GIVE BRAINLIEST
Answer:
[tex]a_5 = \frac{17}{20}[/tex]
Step-by-step explanation:
Use the general progression formula where
[tex]d=\frac{3}{20}\\a_n=\frac{1}{4}+\frac{3n-3}{20}[/tex]
Solving this for the 5th term returns the answer
[tex]a_5=\frac{17}{20}[/tex]
please help with question fast and provide explanation so I can understand
Answer:
A
Step-by-step explanation:
C means the number of miles into the city, while H means the miles on the highway. If (c,h) becomes (138,200), this means that c=138 and h=200. So, 138 miles can be traveled into the city while 200 can be traveled on the highway. hope this helps!
I need help with this please :D
Answer:
75deg
Step-by-step explanation:
the angle for the entire thing is 131 degrees. Since you are given angle 1 you can subtract that value from the whole to find the remaining degrees. So 131-56=75