Answer:
[tex]10 \frac{2}{5}[/tex]
Step-by-step explanation:
Using BODMAS
[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]
[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]
Cora invests $1000 at 5% compounded semi-annually. How long will it take, to the
nearest whole year, for her money to double? Use the formula A=P(1+r/n)^(nt),
where 0.05 and n=2 to find the answer.
It will take years for Cora's money to double when invested at 5%
compounded semi-annually
The solution is
Answer:
15 Years or 14.5 Years
Step-by-step explanation:
According to the Question,
Given That, Cora invests $1000 at Rate of 5% Per Annum. Interest is compounded semi-annually, After What time her money to get double.We Know, the formula A=P(1+r/n)^(nt) (where r=0.05 , p=1000 , A=2000 , n=2)Put the Given value in Formula, We get
2000 = 1000 (1 + 0.05/2) ^ 2t
2 = (1+0.025)^2t
2 = (1.025)^2t ⇔ 1.025^30 = 2.0975 ≈ 2
Thus, 2t = 30 ⇒ t = 15 Years
OR
2 = (1.025)^2t ⇔ 1.025^29 = 2.0464 ≈ 2
Thus, 2t = 29 ⇒ t = 14.5 Years
Pls pa Answer po❤️!!!!!
Answer:
1) 4
2) 40
3) 22
4) 3
5) 9.5
6) 4
7) 14.2
8) 7
9) 12
10) 11
Step-by-step explanation:
1) 14 + 6 = 16
so, 16 - 12 = 4
2) 58 - 18 = 40
3) 30 - 8 = 22
4) 10 + 2= 12
so, 12 - 9 = 3
5) 15 + 3 = 18
so, 18 - 7.5 = 9.5
6) 22 - 8 = 14
so, 14 - 10 = 4
7) 19.6 - 5.4 = 14.2
8) 17 - 9 = 8
so, 8 -2 = 7
9) 54 + 8 = 62
so, 62 - 50 = 12
10) 32 - 16 = 16
so, 16 - 5 = 11
Answer:
1. 4
2. 40
3. 22
4. 21
5. 10.5
6. 4
7. 14.2
8. 6
9. 12
10. 11
Step-by-step explanation:
Pls help me, I really dont understand
Answer:
-2.5x-.5
[tex]y=\frac{2}{3}x-1[/tex]
draw the dotted line (3/7)x-3 and shade below it
Step-by-step explanation:
First, we need the slope
Use the slope formula:
[tex]\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5[/tex]
so we have
y= -2.5x+b
Solve for b by plugging in coordiantes
-8= -2.5(3)+b
-8= -7.5+b
b= -.5
Put it together and get -2.5x-.5
2.)
A line is parallel to another line if they have the same slope (and different y intercepts)
So in the formula y=mx+b we knowe that m= 2/3
Now it's just a matter of solving for B
plug in the required coordinate to do this
-1=(2/3)*0+b
-1= b
Put it all together to get
[tex]y=\frac{2}{3}x-1[/tex]
3.)
put this into slope intercept form
3x-7y>21
3x-21 > 7y
(3/7)x-3 >y
To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)
A 28 foot ladder leans up against a building and reaches the base of a window that is 20 feet high. How far is the base of the ladder from the base of the building? Round your answer to the nearest whole foot
A 16 feet
B 20 feet
C 24 feet
D 34 feet
Answer:
20 feet
Step-by-step explanation:
The distance between base of the ladder from the base of the building is given by option B) 20 feet.
Use the Pythagorean theorem to solve this problem.
The Pythagorean theorem states that in a right-angled triangle,
The square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Length of the ladder = 28 foot
Here, the ladder forms the hypotenuse, and the height of the window (20 feet)
And the distance from the base of the ladder to the base of the building (let's call it x feet) are the other two sides.
So, we have:
Ladder² = Height² + Distance²
28² = 20² + x²
Now, let's solve for x:
x² = 28²- 20²
x² = 784 - 400
x² = 384
Now, take the square root of both sides to find x:
x = √384
x ≈ 19.6 feet
Rounding to the nearest whole foot, the distance from the base of the ladder to the base of the building is 20 feet.
Therefore, the distance between base of the ladder and building is equal to option B) 20 feet.
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Solve -2x + 6 = -20. -7 -13 7 13
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
Determine the measure of CD from the diagram below.
A
E
809
88
Answer:
88
Step-by-step explanation:
line AC is equal to line DB
Set up an en equation and use it to solve for x
Answer:
x = 30
Step-by-step explanation:
The 2 angles lie on a straight line and sum to 180° , then
x - 3 + 153 = 180
x + 150 = 180 ( subtract 150 from both sides )
x = 30
Answer:
x = 30
Step-by-step explanation:
180° = total
153° = part
180° - 153° = 27°
Then use the equation to find the value of x
(x - 3) = 27
(x + 3) = +3 Add 3 to both sides!
x = 30
What is x equal to????
Answer:
x = 20
Step-by-step explanation:
The 3 arcs UV, VW, WX form a semicircle, so sum to 180° , that is
4x + 2 + x + 78 = 180
5x + 80 = 180 ( subtract 80 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
hi can you answer this question thank you
9514 1404 393
Answer:
2 < x < 24.937
Step-by-step explanation:
Conceptually, the values of x are allowed to be between those that make angle ABC one of zero measure and that make angle ABD a straight angle.
That is ...
0 < 2x-4 < 180 -86
4 < 2x < 98
2 < x < 49
__
However, some study of this geometry convinces us that the largest that angle ABC can be is one that makes ∆ABC isosceles. In that case, AB = CB = DB, and B is the center of the circle through points A, C, and D. Trigonometry can be used to find the value of x in that case.
The radius CB of circle B must be such that the bisector of angle CBD intersects the midpoint of CD:
CB·sin(86°/2) = 14/2
Similarly, the bisector of angle ABC will meet the midpoint of AC:
CB·sin((2x -4)°/2) = 8/2
Equating expressions for CB gives ...
7/sin(43°) = 4/sin((x-2)°)
(x -2)° = arcsin((4/7)sin(43°))
x° = 2° +arcsin(4/7·sin(43°))
x ≈ 24.937
So, a revised upper limit on x puts the range of possible values as ...
2 < x < 24.937
A) m + n
B) 0
C) m - 1
D) -(m+n)
the required answer is 2m- (m-n)(m-1)
what is the solution to the system of equations graphed below?
Answer:
C. (1, -2)
General Formulas and Concepts:
Algebra I
Reading a coordinate graphCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).
∴ our answer is C.
Answer:
C. (1,-2)
Step-by-step explanation:
with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)
hope this helps! lemme know if you need more
13
What is the Pythagorean Theorem?
A) a + b + c
B
a2+b2=c2
a2-b2=c2
D) abc = d
Answer:
a2 +b2=c2
Step-by-step explanation:
......
hope it helps
Answer: its a^2+b^2=c^2
Step-by-step explanation:
Can someone help me?It's urgent and thank you!
Answer:
11
Step-by-step explanation:
Solution for this problem is in this picture.
Describe the graph of the proportional relationship between the two quantities and describe how the unit rate is represented on the graph. Bananas are $2.40 per pound.
a
The graph of y = 24x , which is a line passing through (0, 0) with a slope of 24; the slope 24 is the unit rate of each pound of bananas.
b
The graph of y = 2.4x , which is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
c
The graph of y = 5.8x , which is a line passing through (0, 0) with a slope of 5.8; the slope 5.8 is the unit rate of each pound of bananas.
d
The graph of y = 2.4 + x , which is a line passing through (0, 0) with a slope of 2.4; the slope -2.4 is the unit rate of each pound of bananas.
Given:
Bananas are $2.40 per pound.
To find:
The graph and unit rate on the graph.
Solution:
Let y be the total cost of x pounds of bananas.
Cost of 1 pound of banana = $2.40
Cost of x pound of bananas = $2.40x
So, the required equation for the given situation is:
[tex]y=2.4x[/tex]
The graph of [tex]y=2.4x[/tex] describes the proportional relationship between the two quantities.
The graph of [tex]y=2.4x[/tex] is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
Therefore, the correct option is (b).
Answer:
a
Step-by-step explanation:
A shopkeeper bought articles at $4.00 a dozen and sold them at 4.50 a dozen her percentage profit was
Answer:
12.5
Step-by-step explanation:
Find the profit ( 4.50- 4) And then profit over original price multiplied by 100 ( 0.50/4×100)Find f(-x) of the function 4x^2+2x-4 SOMEONE PLEASE HELP ASAP WORTH 50 POINTS
Given:
The function is:
[tex]f(x)=4x^2+2x-4[/tex]
To find:
The value of [tex]f(-x)[/tex].
Solution:
We have,
[tex]f(x)=4x^2+2x-4[/tex]
Substituting [tex]x=-x[/tex] in the given function, we get
[tex]f(-x)=4x^2-2x-4[/tex]
Therefore, the required function is [tex]f(-x)=4x^2-2x-4[/tex].
4. Which of the following is not true of saliva?
A. Cleanses the mouth
B. Dissolves certain foods
C. Moistens food and aids in swallowing
D. Contains enzymes that begin the breakdown of proteins
Answer: c
Step-by-step explanation:
ok so it doesn't contain moisten in food
The statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins.
What is Saliva?Saliva is a liquid that is made by the salivary glands in the mouth. Saliva contains the enzyme known as amylase which helps to break down starch. Saliva does not have enzymes that can break down proteins.
Other functions of Saliva are:
Aids in dissolving certain foodsAids swallowing and moistening of foodsPrevents bad breath and cleanses the mouth.Therefore, the statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins.
Learn more about saliva on:
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Hace 5 años compramos una casa en 40.000, hoy la casa cuesta un 30% mas del precio original si podemos vender la xasa ¿Cuanto es lo mínimo que debemos cobrar por ella?
Respuesta:
52 000
Explicación paso a paso:
Dado :
Costo de la casa hace 5 años = costo original de la casa = 40,000
Aumento porcentual en el precio original hoy = 30%
El monto mínimo a cobrar por la casa:
Precio original * aumento porcentual del precio original
40.000 + (30% de 40.000)
40000 + (0,3 * 40000)
40000 + 12000
= 52 000
Monto a cobrar por la casa = 52,000
Justin printed 44 posters to advertise the garage sale. He gave 11 friends the same number of posters to display around the neighborhood. How many posters did Justin give each friend?
Answer:
4
Step-by-step explanation:
44/11=4
Please help I put 50 points
Answer:
output = input - equation
y = x - 7
so 7 is your correct equation!!
Step-by-step explanation:
as u can see
When input x is subtracted from output y, we are getting answer 7
like here
imma gonna tell u how 7 is came
1-8=7
2-9=7
3-10=7
4-11=7
so 7 is our equation
its just a explanation okay
so we get our solution
•°• Y = X - 7
hope it may help you!!
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Need help ASAP! Will Give Brainliest!
A pair of equations is shown below:
y = 6x − 4
y = 5x − 3
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
A) To plot equations in point-slope form, pick one and let x = 0, then solve for y (or -4). That gives you point 1 (0,-4). Then let y = 0 and solve for x (or 2/3). That gives you a second point (2/3,0). Plot the two points and draw the line. Repeat for the second equation (points are (0,-3) and (3/5,0)). Where the lines cross is the solution for both equations.
B) point (1,2) fits both equations.
Step-by-step explanation:
Or solve by brute force...
The solution is where the same X,Y point fits both equations, or Y1 = Y2 and X1 = X2. So the equations in point-slope form (already in point-slope form) equal to each other, solve for X and plug that back into either of the equations to find Y.
6X - 4 = 5X -3
X = 1 so
y = 6X - 4
Y = 6 - 4
Y = 2
This graph represents a quadratic function. Which expression is a factor of the function's equation?
A 0
B x-4
с. x
D X + 4
Point O is the center of the circle. What is the value of X?
Answer options: 9, 17, 8, 15
Answer:
j4k4
Step-by-step explanation:
k4k4j4h g o4utf75d4s6e Ok xkyai5eziKyeakyz6ozo6syzyl6
A parabola has a vertex at (–5, 0) and passes through the point (–3, 1). Which of the following is the equation of this parabola in the form y=a(x-h)^2+k?
Answer:
y = 1/4(x + 5)^2
Step-by-step explanation:
Using the given equation form;
(h,k) represents the vertex of the parablola
To get the value of a, we use the given point
So we have;
1 = a(-3 + 5)^2 + 0
1 = a(2)^2
4a = 1
a = 1/4
so we have the equation as;
y = 1/4(x+5)^2 + 0
y = 1/4(x + 5)^2
28. The edges of a cube are all increased by
10%. What is the percentage increase in the
volume?
Answer:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
You travel about 1.3x10^4 miles per year in your Toyota Camry, which gets 28 miles per gallon of gasoline. The combustion of gasoline emits 2.42 kg C per gallon. Based on this information, calculate the carbon footprint of your transporation.
Answer:
1123.5714 kg C
Step-by-step explanation:
Given :
Miles traveled = 1.3 * 10^4 miles
Miles per gallon = 28 miles per Gallon
Carbon footprint per gallon = 2.42 kg C per gallon
The total gallons of gasoline used over the course of the year :
Total miles traveled / miles per gallon
1.3 * 10^4 / 28 = 464.28571 gallons
Carbon footprint per gallon = 2.42 kg C
Total carbon footprint of transportation :
2.42 kg C per gallon * 464.28571 gallons
= 1123.5714 kg C
PLAEASE HELP ME
If the equation of a line is 2y+3x=3, what is the y intercept of the line?
Answer:
3/2
Step-by-step explanation:
2y+3x=3
This represents a linear equation and the format for a linear equation is
y = mx+b
m = slope
b= y-intercept
we have to subtract 3x from both sides to make this the y=mx+b form
2y=-3x+3
and divide both sides by 2
y = (-3x+3)/2
3/2 or 1.5 is the y-intercept
the constant of a linear equation (or 3) is the y-intercept, if there is no constant then the y-intercept is 0
Answer:
1.5
Step-by-step explanation:
2y+3x=3
Convert to y=mx+b form...
y=mx+b
y(output)
x(input)
x(slope/growth)
b(y int/starting point)
Steps for converting to y=mx+b form:
-subtract 3x from both sides of equal sign
-divide by 2 on both sides
2y+3x = 32y = -3x+3y = -1.5+1.5y = -1.5+1.5
so 1.5 is y int.
:)ur welcome
How many 1 3/4 foot pieces of ribbon can be cut from a piece of ribbon that is 36 feet long
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
1 3/4 = 7/4
36/(7/4) = 36 x 4/7 = 20.5 or 20
May someone help me out with this. A bit lost here. If anyone knows, and would like to answer, I would gladly appreciate you. Thanks.
Answer:
since they are parallel lines therefore the angles hence formed will also be equal
x+5=2x-7
5+7=2x-x
12=x
hence the ans is 12
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Cos2x-cos12x=5 giải phương trình
Step-by-step explanation:
Giải phương trình: 6sin^2(3x) + cos12x - 14 = 0 - Giải phương trình: ... 4sin^2 (x)-cos2x=2 giải pt ... 0 1 2 3 4 5 6 7 8 9 10.