exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
pa help po............. ............
Answer:
ΔABC
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
ΔXYZ
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
ΔNOR
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;
In triangle ΔABC, we have;
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
In triangle ΔXYZ, we have;
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
In triangle ΔNOR, we have;
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?
Consider the graph of the function f(x)=2x.
Which statement describes a key feature of
function g if g(x) = 2f(x)? Answers:
A. y-intercept at (0,2)
B. y-intercept at (2,0)
C. horizontal asymptote of y = -2
D. horizontal asymptote of y = 2
Given:
The parent function is:
[tex]f(x)=2^x[/tex]
The other function is:
[tex]g(x)=2f(x)[/tex]
To find:
The statement that describes a key feature of function g.
Solution:
We have,
[tex]f(x)=2^x[/tex]
[tex]g(x)=2f(x)[/tex]
Using these two functions, we get
[tex]g(x)=2(2)^x[/tex]
Putting [tex]x=0[/tex], we get
[tex]g(x)=2(2)^{(0)}[/tex]
[tex]g(x)=2(1)[/tex]
[tex]g(x)=2[/tex]
The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.
We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?
Given:
Cost of 13 movies = $15.99
To find:
Cost of each movie
Steps:
Lets assume the cost of each movie as 'x'.
So,
[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]
[tex]1.23 = x[/tex]
[tex]x = $1.23[/tex]
Therefore, the cost of one movie is 1.23 dollars
HAPPY TO HELP :)
If you need more help, feel free to ask
Find k if (x+1) 2x^3+kx^2+1
Find k if (x+1) is a factor of 2x³ + kx² + 1
Answer:
k = 1
Step-by-step explanation:The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
This is because;
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
From the question
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
Please help me with this geometry question
Answer:
2) 40
Step-by-step explanation:
the perimeter of Rhombus =
4 × (√(12/2)²+(16/2)² )
= 4× (√6²+8²)
= 4× (√100)
= 4×10
= 40
Q) 4 × (√(12/2)²+(16/2)² )
→ 4 × (√6²+8²)
→ 4 × (√100)
→ 4 × 10
→ 40 is the perimeter of rhombus.
Write the equation of the line in slope-intercept form
Answer:
y = 4/1 + 0
Step-by-step explanation:
we rise 4 units up and move 1 unit to the right
and the y intercept is 0 because its exactly in the center of x and y axis
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
Find the value of x.
Answer:
x=9
Step-by-step explanation:
so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9
Answer:
x=9
Step-by-step explanation:
missing angle + 60 + 60=180 degree (sum of interior angles of a triangle
missing angle + 120 =180
missing angle =180 -120
missing angle =60 degree
since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am, and arrived in the city at 11:15 a.m. The
train's average speed was 60 miles per hour. How far did Lucas travel by train?
75 miles
105 miles
135 miles
165 miles
The distance travelled by the Lucas will be equal to 105 miles.
What is an average speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
The average speed is defined as the total distance travelled by train in total time.
Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.
Time = 105 minutes = 105 / 60 = 1.75 hours
The distance travelled by train will be calculated as,
Distance = Speed x Time
Distance = 60 x 1.75
Therefore, the distance travelled by Lucas will be equal to 105 miles.
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Need help with this :(
Answer:
B. m = [tex]\frac{3}{2}[/tex], y-int = 3
Step-by-step explanation:
To find the slope of the line, we need to plot two points
(2, 6) (-2, 0)
m = slope
Then use the Slope-Formula to Solve for the slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-6}{-2-2}[/tex]
m = [tex]\frac{-6}{-4}[/tex]
m = [tex]\frac{6}{4}[/tex]
m = [tex]\frac{3}{2}[/tex]
The Slope is [tex]\frac{3}{2}[/tex]
The y-intercept is 3 because the line is going 3 units upwards on y axis!
Equation: y = 3/2x + 3
Slope: 3/2
y-intercept: 3
Answer:
m = 3/2 int- 3
Step-by-step explanation:
The line goes up 3 and goes right 2. The line crosses the y-intercept at 3.
1. A square is lengthened by 6 units in one direction and by 5 units in the other
direction to make a rectangle, as shown in the diagram. The length of the side
of the original square is x units. What is the area of the whole new rectangle?
Answer:
a = x² + 11x + 30
Step-by-step explanation:
a = (x + 5)(x + 6)
multiply each term in the first set of parenthesis by each term in the second
a = x(x + 6) + 5(x + 6)
a = (x² + 6x) + (5x + 30)
combine like terms
a = x² + 11x + 30
Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?
Answer:
50th
Step-by-step explanation:
10 multiply by 5 is 50
And 25 multiply by 2 is 50
50 is the first to appear on both sides
Drag the numbers to label the points plotted on the number line.
Answer:
First Box: -10/5
Second Box = -1.25
Third Box = -0.5
Fourth Box = 0.75
Fifth Box = 3/2
Step-by-step explanation:
NOTE: I AM SAYING THIS FROM LEFT TO RIGHT
Answer:
The first box should be -[tex]\frac{10}{5}[/tex] ;
The 2nd box should be -1.25 ;
The 3d box should be -0.5 ;
The 4th box should be 0.75 ;
The 5th box should be 3/2 which is the last box left.
Can 17, 9, and 11 be the side lengths of a triangle?
Answer:
No it cant
Step-by-step explanation:
You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.
math pls pls help help no trolls i really need this grade
Answer:
The second one is 3 and the third one is 8
Step-by-step explanation:
Just trust me
Mr. Mitchell deposited $4000 in a bank and earned simple intrest at 7% per annum for 2 years.
(i) Calculate the amount he will recive at the end of the 2 year period.(Hint find the simple intrest first...)
Answer:
interest per annum is 280
interest for 2 year is 560
Step-by-step explanation:
money deposited in bank = 4000
1persent of 4000 = 40
7 persent of 4000 = 280
interest for 2 year is 280 x 2 = 560
Mark me as BrainestJack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now?
Answer:
3(b+2)balls
Step-by-step explanation:
Given data
number of bags of golf balls= 3
number of balls in each bag=b
total number of balls in all three bags= 3b
His friend gave him 6 more= 3b+6
Hence the total balls is = 3b+6
= 3(b+2)balls
Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .
Answer:
Step-by-step explanation:
Skewed left
50-60 and 60-70
8
Factor completely. 486 +108 x + 6 x^2=
Answer:
[tex]6(x+9)^{2}[/tex]
Step-by-step explanation:
6 x^2+108 x +486
6(x^2+18 x +81)
6(x+9)(x+9)
[tex]6(x+9)^{2}[/tex]
Answer:
[tex]6(9+x {)}^{2} [/tex]
Step-by-step explanation:
[tex]486+108x+6x ^{2} [/tex]
[tex]6 \times 81+108x+6 {x}^{2} [/tex]
[tex]6(81+18x+ {x}^{2} )[/tex]
[tex]6(9+x {)}^{2} [/tex]
Hope it is helpful...In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern
A. All the numbers are odd
B.all the numbers are even
C.all the numbers are multiplies of 3
D. All of the numbers are prime
If I have a right triangle ab=12 and ac=15 what is BC
Answer:
9
Step-by-step explanation:
B²=H²-P²
B²=15²-12²
B²=81
√B=9
therefore it's 9
Please help me! I need to get this done but don't know how!
The polynomial x³+5x²-57x-189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions?
a. height: 19 in.
depth: 5 in.
c. height: 19 in.
depth: 7 in.
b. height: 21 in.
depth: 5 in.
d. height: 21 in.
depth: 7 in.
Answer:
Step-by-step explanation:
your answer would be b
Below is a list of numbers. Use them to answer question 3.
2, 19, 31, 43, 59, 67
Question 3*
What type of numbers are shown?
A
B.
C.
composite numbers
even numbers
odd numbers
prime numbers
D.
Answer:
prime numbers
Step-by-step explanation:
not composite since,example, 2 is prime
not even since,example, 19 is odd
not odd since,example, 2 is even
Answer:
the answer is
prime numbers.
Help plz I dont get it
convert the decimal number 356 to a Quinary number
Answer : Yes the answer to your question is 2411.
Explanation : how I got the answer
To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:
To convert integer 356 to quinary, follow these steps:
Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get the equivalent quinary number.
356 / 5 = 71 with remainder 1
71 / 5 = 14 with remainder 1
14 / 5 = 2 with remainder 4
2 / 5 = 0 with remainder 2
Here is the answer to 356 decimal to quinary number:
2411
6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!
[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]
Final Answer: 13Step By Step Explanation:
Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference☆彡Hannawhat is a kite? what are its properties? what is its use in our daily life?
Answer:
Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string
A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.
Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
According to the question
Monique goes out for coffee once per week.
She has already spent $40.86 this year on her coffees and each one is $4.54.
There are 27 weeks left in this school year for Monique.
If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:
Based on the given conditions
[tex]40.86 + 27 \times 4.54[/tex]
By using PEDMAS rule, first we have to multiply 27 and 4.54
= [tex]40.86 + 122.58[/tex]
By using PEDMAS rule, first we have to add 40.86 and 122.58
= [tex]163.44[/tex]
Thus, $163.44 money will she have spent on coffee by the end of the year.
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