Answer:
The number is 162Step-by-step explanation:
Let the number be x
5/9 of the number is 90
Which is
5/9 of x = 90
5/9 × x = 90
5/9x = 90
Multiply through by 9
That's
5x = 810
Divide both sides by 5
5x/5 = 810/5
x = 162
Therefore the number is 162
Hope this helps you
X= 3y-5
2x + 12y = -4
This is a system of equations can somebody solve it you can use any method
Answer:
x = -4, y = 1/3
Step-by-step explanation:
=> x = 3y-5 (Equation 1)
=> 2x+12y = -4 (Equation 2)
Putting (1) in (2)
=> 2(3y-5)+12y = -4
=> 6y-10+12y = -4
=> 18y = -4+10
=> 18y = 6
Dividing both sides by 18
=> y = 6/18
=> y = 1/3
Putting y = 1/3 in Equation 1
=> x = 3(1/3)-5
=> x = 1-5
=> x = -4
20 POINTS!!! On the following graph F(-5)=?
Answer:
7
Step-by-step explanation:
Christine had a six sided dice numbered from 1 to 6. she rolled it a total of 50 times. it landed on a odd number 21 times. ( A ) work out the relative frequency of the dice landing on an odd number. give you answer as a decimal. ( B ) if the dice were fair what would the theoretical probability of it landing on a odd number be give your answer as a decimal. ( C ) is the dice definitely biased or is it impossible to tell write a sentence to explain your answer get brainly plz help
A) Relative frequency is number of times an event happened over total number of events:
Answer is 21/50 = 0.42
B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50
C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.
Find the height, x, of the tree.
40°
62 ft
a) 52.02 it
b) 75.23 it
c) 21.27 it
d) 73.89 ft
Answer:
52.02 ft
Step-by-step explanation:
We can use equation tan θ = opposite/adjacent to solve for the opposite side x.
tan40° = x / 62
62tan40° = x
x = 52.02 ft
The solution is Option A.
The height of the tree is given by x = 52.02 ft
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Let the height of the triangle ABC be = x
Now , the base of the triangle ABC is BC = 62 feet
The angle of elevation is θ = 40°
Now , the height of the tree is the height of the triangle ABC and is given by the trigonometric relation ,
tan θ = opposite / adjacent
Substituting the values in the equation , we get
tan θ = x / 62
tan 40° = x / 62
Multiply by 62 on both sides of the equation , we get
x = tan 40° × 62
x = 0.83909963117 × 62
The value of x = 52.024 feet
Therefore , the value of x is 52.02 feet
Hence , The height of the tree is given by x = 52.02 ft
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Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
___ - x - ___y - ___xy
I've got no clue how to do this.
Answer:
×-10×+21=0
FACTORIZATION of splitting the middle term
WILL GIVE BRAINLIEST AND 21 POINTS! Calculate the area of the triangle: A =
Answer:
area: 27
Step-by-step explanation:
Sides: a = 10.296 b = 14.213 c = 6
The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is °.Which angle measure less than or equal to 360° is equivalent to an angle of ?
Answer:
320°
Step-by-step explanation:
Part 1
The arc length is given by ...
s = rθ . . . . . r is the radius, θ is the central angle in radians
We want to find θ, so we can fill in the given values and divide by the coefficient of θ.
8π = 4.5θ
θ = 8π/4.5 = 16π/9 . . . radians
Since π radians = 180°, the degree measure of the angle is ...
θ = (16/9)180° = 320°
The measure of the angle subtended by the arc is 320°.
_____
Part 2
We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.
Hello i need some help
Answer:
y = 2x - 1
Step-by-step explanation:
(3, 5) (5, 9)
slope = (9-5)/(5-3) = 4/2 = 2
y = mx + b
5 = 2(3) + b
-1 = b
y = 2x -1
Answer:
f(x)=2x-1; y=2x-1
Step-by-step explanation:
First we need to find the slope and to do so you use the equation [tex]\frac{y_{1} -y_{2}}{x_{1}-x_{2}}[/tex] .
Plugging in for the values we get (9-5)/(5-3)=4/2=2, which means we have a slope of 2.
Now we just have to find the y-intercept, and to do this we multiply the x-value by the slope (2) and see what we have to add to that to get the y-value.
For example, 5*2=10, 10-1=9, so -1 is our y-intercept.
This means our equation in slope-intercept form is y=2x-1 and in function form is f(x)=2x-1
Multiply. 2 3/4* 4/5 Choose 1 answer: (a) 2 7/20 (b) 2 1/5 (c) 1 3/5 (d) 11/20
Answer:
[tex]\boxed{\red{ \frac{11}{5} = 2 \frac{1}{5} }}[/tex]
Answer B is correct.
Step-by-step explanation:
[tex]2 \frac{3}{4} \times \frac{4}{5} \\ \frac{11}{4} \times \frac{4}{5} \\ \frac{44}{20} \\ = \frac{11}{5} = 2 \frac{1}{5} [/tex]
Answer:
Hello!
_____________________
Exact Form: [tex]\frac{11}{5}[/tex]
Decimal Form: 2.2
Mixed Number Form: [tex]2\frac{1}{5}[/tex]
Step-by-step explanation: Simplify the expression.
So your anwser woould be ( B ) 2 1/5
Hope this helped you!
:D
Find the equation of the line through point (−7,2) and parallel to y=25x−12. Use a forward slash (i.e. "/") for fractions (e.g. 1/2.
parallel line so gradient stays the same at 25x
y=25x+c
substitute in the point
-7= 25(2) +c
-7 = 50 + c
(-7)-50= -57
y=25x-57
hope this helps!
The equation of the line in slope intercept form is y = 25x + 177.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The equation is y = 25x−12 -------- (1)
The point is (−7,2)
The general form of equation of line in slope intercept form is
[tex]y=mx+c[/tex]
On comparing this equation with equation, we get
slope, m = 25
The given line is parallel to the equation of line, so slope is same.
The line passes through the point (x1, y1) is (−7,2).
Thus the equation of line in slope intercept form is
[tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-2=25(x-(-7))[/tex]
⇒ [tex]y-2=25(x+7)[/tex]
⇒ [tex]y-2=25x+175[/tex]
⇒ [tex]y=25x+175+2[/tex]
⇒ [tex]y=25x+177[/tex]
Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.
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The width of a rectanglular solid is twice the height of the solid, the height of the solid is twice the length of the solid. If x is the length of the solid, what is the surface area in terms of x?
Answer:
28x^2
Step-by-step explanation:
Set variables:
Width = w
Length = x
Height = h
Set Equation:
w = 2h = 4x
h = 2x
x=x
Now that we have the terms in terms of x, we can find surface area.
We find the first three then multiply answer by 2, because there are 6 sides.
w*h -> first side
w*x -> second side
h*x -> third side
Set them in terms of x:
4x*2x = 8x^2
4x*x = 4x^2
2x*x = 2x^2
Add them and get: 14x^2
Wait, you need to multiply them by 2 and get: 28x^2
Answer: The answer is in the photo I really hope it’s right
Step-by-step explanation: I don’t need a brainly(I’m joking)
Hahahaha I know it’s not the best
5x + y = 2
2x-3y = 62
Hey there! :)
Answer:
x = 4, y = -18 or (4, -18).
Step-by-step explanation:
Given:
5x + y = 2
2x - 3y = 62
We can use substitution to solve this problem. Rearrange the first equation in terms of y:
5x + y = 2 ---> y = -5x + 2
Substitute in this equation for y into the second equation:
2x - 3(-5x + 2) = 62
Distribute -3:
2x + 15x - 6 = 62
Combine like terms:
17x - 6 = 62
Add 6 to both sides:
17x = 68
Divide both sides by 17:
x = 4.
Plug in this value for x into an equation to solve for y:
5(4) + y = 2
20 + y = 2
y = -18.
Therefore, the solutions to this system of equations are:
x = 4, y = -18 or (4, -18).
please help me solve
Answer:
cD /100
Step-by-step explanation:
Change the percent to a fraction
c% = c/100
Multiply by the sale
D * c/100
cD /100
I’m really not sure what the answer to this question is, can anyone help?
Answer:
25(sqrt(2)+1)
Some explanation:
The exact form is 25*sqrt(2) + 25.
If we divide by 25, we are left with sqrt(2) + 1.
So 25(sqrt(2) + 1) is the correct answer.
Hope that helps a little!
Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. His data are shown in the table.
Years Since Tree was Planted vs. Height of Tree
Years since tree was planted, x
Height of tree in feet, y
2
17
3
25
5
42
6
47
7
54
9
69
Using a regression calculator, what is a good prediction for the height of the tree when it is 100 years old?
A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 2, 3, 5, 6, 7, 9. Column 2 is labeled y with entries 17, 25, 42, 47, 54, 69. The regression equation is y almost-equals 7.36 x + 3.08; r almost-equals 0.998.
A good prediction for the height of the tree when it is 100 years old is about 315 feet because that is what the trend line, y almost-equals 3.08 x + 7.36, produced by the regression calculator predicts.
A good prediction for the height of the tree when it is 100 years old is about 739 feet because that is what the trend line, y almost-equals 7.36 x + 3.08, produced by the regression calculator predicts.
There is not a good prediction for the height of the tree when it is 100 years old because the trend line produced by the regression calculator does not give a prediction.
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Answer:
D
Step-by-step explanation:
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
PLEASE HELP ASAP!!:
explain the answer to this as well, please :)
the difference between two numbers is 4. the sum of the smaller number and theee times the larger number is 36. what are the two numbers?
I totally typed the right answer for the wrong question sorry
If f(x)=x and g(x) =2, what is (f•g)(x)
Answer:
c
Step-by-step explanation:
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.
An insurance company is trying to determine the number of phone calls made weekly while driving. Which best describes the population?
Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people
Step-by-step explanation:
Answer:
licensed drivers who own cell phones
Step-by-step explanation:
licensed drivers who own cell phones
if -1 and-2 are the zeroes of the cubic polynomial x³-2x²+ax+b, then find the value of a and b
Answer:
a = - 13, b = - 10
Step-by-step explanation:
Given that x = - 1 and x = - 2 are zeros then
f(- 1) = 0 and f(- 2) = 0, that is substituting value into the polynomial
f(- 1) = (- 1)³ - 2(- 1)² - a + b = 0 , that is
- 1 - 2 - a + b = 0
- a + b = 3 → (1)
f(- 2) = (- 2)³ - 2(- 2)² - 2a + b = 0, that is
- 8 - 8 - 2a + b = 0
- 2a + b = 16 → (2)
Multiply (1) by - 2
2a - 2b = - 6 → (3)
Add (2) and (3) term by term to eliminate a
- b = 10 ( multiply both sides by - 1 )
b = - 10
Substitute b = - 10 into (1) and evaluate for a
- a - 10 = 3 ( add 10 to both sides )
- a = 13 ( multiply both sides by - 1 )
a = - 13
6th grade math heeelppppppppp :D
Answer:
5(6x+3y) is equalivent to 30x+15y
Answer:
30x+15y
Step-by-step explanation:
distributive property
Which statement is true
Answer:
C
Step-by-step explanation:
in order of containment it goes
Quadrilaterals
Parallelograms and trapezoids
kites rhombuses and rectangles
squares
Answer:
Hey there!
All parallelograms are four sided shapes, also called quadrilaterals.
Hope this helps :)
Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:
Answer: The factorization of [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]
The factors of [tex]28+56t+28w[/tex] are 28 and 1+2t+w.
Step-by-step explanation:
The given expression : [tex]28+56t+28w[/tex]
To factorize it, we need to find the common factor.
As 56 can be written as 2 x 28.
So, the above expression would become
[tex]28+2\times28t+28w[/tex]
Now, taking 28 as common from all the terms, we will get
[tex]28(1+2t+w)[/tex]
Thus, the factorization of [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]
And the factors of [tex]28+56t+28w[/tex] are 28 and 1+2t+w.
Answer:
b&d
Step-by-step explanation:
i did khan on it and got it right
Solve for x 4x+8=6x−1 Give your answer as an improper fraction in its simplest form.
Answer:
Step-by-step explanation:
4x+8=6x-1
-4x . =-4x .
8 = 2x-1
-1+8=2x-1+1
7=2x
7/2= 2x/2
3.5=x
The value of x will be;
⇒ x = 9/2
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 4x + 8 = 6x - 1
Now,
Solve the expression for x as;
⇒ 4x + 8 = 6x - 1
Subtract 6x both side, we get;
⇒ 4x + 8 - 6x = 6x - 1 - 6x
⇒ - 2x + 8 = - 1
Subtract 8 both side,
⇒ - 2x = - 1 - 8
⇒ - 2x = - 9
Divide by - 2 as;
⇒ x = 9/2
Thus, The value of x will be;
⇒ x = 9/2
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In this system of equations, which variable would it be easiest to solve for? x + 3 y = 13. 3 x + 2 y = 25. The easiest to solve for is x in the first equation. The easiest to solve for is y in the first equation. The easiest to solve for is x in the second equation. The easiest to solve for is y in the second equation.
Answer:
its x in the first equation! (a)
Step-by-step explanation:
I just took the test. I used the other answer but it was wrong :( BUT you can trust me :)
Answer:
A: The easiest to solve for is x in the first equation.
Step-by-step explanation:
The X in the first equation is the only one without a coefficient.
Having some problems with this
Answer: C) 5
Step-by-step explanation:
First let's distribute the left side of the equation.
2/3a - 9 1/3 = -3(a-3)
Then let's distribute the right side of the equation.
2/3a - 9 1/3 = -3a + 9
Then let's move all the a's to one side, and all the constants to the other.
3 2/3a = 18 1/3
Then divide both sides of the equation by 3 2/3.
a = 5
Hope it helps <3
The hospital sells raffle tickets to raise funds for new medical equipment. Last year, 2000 tickets sold for $24 each. The fund-raising coordinator estimates that for every $1 decrease in price, 125 more tickets will be sold. a) What decrease in price will maximize the revenue? b) What is the price of a ticket that will maximize the revenue? c) What is the maximum revenue? PLEASE SHOW WORK, Thank you!
Answer:
a. $4.00
b. $20.00
c. $ 5000
Step-by-step explanation:
a. The given information are;
The number of tickets sold = 2000
The price of tickets sold = $24
The number extra tickets sold per decrease in price = 125
Let the number of tickets sold = y
The price of each ticket = x
Therefore, given that the fund-raising coordinator estimates that the number of tickets sold vary proportionately with the price of the ticket, we have a linear relationship of the form;
y = mx + c
Where:
m = The slope which is change in y divided by change in x
Change in y = 125
Change in x = -1
m = 125/(-1) = -125
Where the change in y = y - 2000 and change in x = x - 24
we have for a linear straight line relation;
(y - 2000)/(x - 24) = m
Which gives
y - 2000 = -125(x - 24)
y - 2000 = -125·x + 3000
y = -125·x + 3000 + 2000 = -125·x + 5000
The revenue = Price × Quantity sold = x × y
Where y = -125·x + 5000, we have
Revenue = x×(-125·x + 5000) = -125·x² + 5000·x
The maximum revenue occur at the point where the slope of the revenue = 0, which is d(yx)/dx =d(-125·x² + 5000·x)/dx = -250·x +5000 = 0
x = -5000/(-250) = 20
Therefore, the price that gives maximum revenue = $20 which is a decrease of $24 - $20 = $4.00
b. The price that will maximize the revenue = $20
c. The quantity sold at maximum revenue = -125 × 20 + 5000 = 2500
The maximum revenue = 2500 × 20 = $5000.00
PLSSS answer ASAPP plss which statement is true regarding the graphed functions ?
f(0) = 2 and g(-2) = 0
f(0) = 4 and 9(-2) - 4
f(2)= 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0
Answer:
f(2)= 0 and g(-2) = 0 is the answer
Step-by-step explanation:
if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y
f(x)=(2) and once again y=0
so the third option is the answer if im seeing this correctly.
f(2)=0 and g(-2)=0
9. (09.01 LC) The graphs of f(x) and g(x) are shown below: If f(x) = (x + 7)^2, which of the following is g(x) based on the translation? (5 points)
g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2
Hey there! :)
Answer:
g(x) = (x + 9)²
Step-by-step explanation:
If we look at the graph g(x), we can see that its vertex is at (-9, 0).
Recall the transformation form of a parabola is f(x) = ±a(b(x-h))+k where (h , k) are the coordinates of the vertex. In this instance it is (-9, 0), therefore:
g(x) = (x + 9)²