Answer:
Step-by-step explanation:
Selling price = $210
percentage increase = 5 %
Increased amount = 5% of 210
= 0.05 * 210
= $ 10.5
New selling price = 210 + 10.5 = $ 220.50
Dos conductores A y B llenan un estanqe en 20 horas .Si el conductor B fuera un desague el estanq se llenaria en 52 horas ¿En q tiempo se llenara el estanque estando solo abierto el conducto A?
Answer:
Con el conducto A abierto, el estanque se llenará en 32.5 horas.
Step-by-step explanation:
Deje que el volumen de agua presente en el estanque sea x litros
La tasa conjunta sería x / 20 litros por hora.
Para el conducto A, no sabemos la hora, llamemos a esto y así que la tasa aquí será x / y
Para el conducto B tomará 52 horas y su tasa es x / 52
Matemáticamente, cuando sumamos ambas tasas juntas, obtendremos la tasa conjunta; Así; x / y + x / 52 = x / 20
Saca x en ambos lados 1 / y+ 1/52 = 1/20
(52 + y) / 52y = 1/20
20 (52 + y) = 52y
1040 + 20y= 52y
1040 = 52y -20y
32y = 1040 y = 1040/32
y = 32.5 horas
Con el conducto A abierto, el estanque se llenará en 32.5 horas.
Determine the angles of rotation. Please answer!!!
Answer:
total rotation = 90 clockwise.
Step-by-step explanation:
Rotation from B to negative y-axis = 45 degrees because B(-3,-3)
Rotation from negative y-axis to B' = 45 degrees because B(-3,3)
Therefore total rotation = 45+45 = 90 clockwise.
Does anyone know the answer
Solution: C
Explanation:
Use the cosine rule
A^2=B^2+C^2-2BCcos a
5^2=8^2+8^2-2×8×8cos a
cos a=(25-64-64)÷(-2×64)
a=36.419°
approx = 36
NEED HELP ASAP!!!! RIGHT NOW
Answer:
120 degrees
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Add all the number then subtract it with 360.
A point with coordinates (a, b) is plotted on a coordinated plane. The values of a and b can be any positive or negative integer.
What must be true about the point ( a, b)?
A) It is flipped across the
y- axis from the original point
B) it is flipped across the
x-axis from the original point
C) it is in the quadrant diagonal to the original point
D) it is in the same quadrant as the original point, but in a different location
Answer:
I think it's x-axis.
Step-by-step explanation:
but me could me wrong
Answer:
The correct answer to this question would be C.
Step-by-step explanation:
took the test. Hope this helps!
Find the median, mean and mode of : 0,2,2,4,4,6,6,6,6 pls show working
Answer:
Step-by-step explanation:
The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.
The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.
The mode is 6, which is the integer that is shown the most.
Answer:
mean=4
median=4
mode=6
Step-by-step explanation:
Mean: add 0+2+2+4+4+6+6+6+6=36
36/ (the amount of numbers) 9= 4
Median: cross out the numbers left to right until you get to the middle which is 4.
Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.
Which transformation(s) can map ABCD onto AWXY?
rotation only
reflection only
O translation, then rotation
O translation, then reflection
Answer:
Translation, then rotation.Step-by-step explanation:
If you translate the triangle BCD in such a way that vertex B maps onto vertex W, you'll realize that with rotation, you'll map the whole BCD triangle onto triangle WXY.
On the other hand, reflections can't be used here, because the sides of both triangles are not in opposite positions.
Therefore, the right answer is the third choice.
PLEASE HELP 30 POINTS!! What is the solution to the system of equations below? y = negative one-third x + 9 and y = two-thirds x minus 12 (21, 2) (21, –10) (–21, 16) (–21, –26)
Answer:
(21, 2)
Step-by-step explanation:
set equations equal to each other because they both equal y.
-1/3x + 9 = 2/3 x - 12
combine like terms by adding 1/3x and 12 to both sides.
21 = x
plug x in.
y = -1/3(21) + 9
y = -7 + 9
y = 2
check with other equation.
y = 2/3(21) - 12
y = 14 - 12
y = 2
solution: (21, 2)
hope this helps :)
Answer:
(21,2)
Step-by-step explanation:
took the quiz on edge
Given the geometric sequence where a1 = −1 and the common ratio is 7, what is the domain for n? A. All integers B. All integers where n ≥ −1 C. All integers where n ≥ 0 D. All integers where n ≥ 1
Answer:
D
Step-by-step explanation:
Hello, This is a geometric sequence where the first term is [tex]a_1=-1[/tex].
It means that the sequence is [tex](a_n)_{n\geq 1}[/tex].
In other words, as the common ratio is 7 the sequence is defined by
[tex]a_1=-1[/tex]
[tex]a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1[/tex]
For instance, we can estimate the first terms:
[tex]a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49[/tex]
And we know that we can even find a formula for the [tex]n^{th}[/tex] term of the sequence by:
[tex]a_n=a_1\cdot 7^{n-1}=-7^{n-1}[/tex]
Now, to answer the question, the domain for n is all integers where [tex]n\geq 1[/tex].
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
11/12-1/6q+5/6q-1/3 it says its wrong
Answer:
2/3q + 7/12
Step-by-step explanation:
If you are trying to simplify your expression
4/6q + 7/12
2/3q + 7/12
30 - 7p = -7 (p+6) -5
Answer:
I think it doesnt have solution.
a sinusoid always function has an amplitude of 3, a frequency of 1/8pi, and a midline at 2. Which of the following equations satisfies these conditions? a. f(x)=3sin x/8pi +2 b. f(x)=3sin(4x) +2 c. f(x)=3sin(8pi x) +2 d. f(x)=3sin x/4 +2
Answer:
The correct option is;
f(x) = 3·sin x/8·π + 2
Step-by-step explanation:
The given parameters for the sinusoidal function are;
Amplitude of oscillation = 3
Frequency of oscillation = 1/8·π
Midline of oscillation= 2
The general form of sinusoidal equation is y = A·sin(B(x - C)) + D
Where;
A = The amplitude
B = The frequency
C = The horizontal shift
D = The midline or vertical shift
Substituting the given values into the general form of sinusoidal equation, we have;
f(x) = y = 3·sin(1/8·π(x - 0)) + 2 = 3·sin(x/8·π) + 2
Which gives;
f(x) = 3·sin(x/8·π) + 2.
9/4n = 1.5/7 Please Explain
Answer:
9/4n= 1.5/7
right now to find this equation it is a proportion so you cross multiply and you gonna get 63=6n and divide 6 on both sides and u get 10.5.
Check 9/4n= 9/42 and to simply u will get 1.5/7
Step-by-step explanation:
The graph represents this system of equations. A system of equations. y equals 2 x minus 4. y equals 1 minus 3 x. A coordinate grid with 2 lines. The first line passes through (0, 1) and (1, negative 2). The second line passes through (0, 1) and (1, negative 2). What is the solution to the system of equations? (–4, 1) (–2, 1) (1, –4) (1, –2)
Answer:
(1,-2)
Step-by-step explanation
y = -3x + 1
y = 2x - 4
-3x + 1 = 2x - 4
-5x + 1 = -4
-5x = -5
x = 1
y= 2(1) - 4
y = 2 - 4
y = -2
(1,-2)
Answer:
1/2
Step-by-step explanation:
HELP!! Fiona races BMX around dirt course. If the radius of the course is 70 meters, what is the total distance Fiona covers in two laps of the race?
Answer:
879.64 (C)
Step-by-step explanation:
Answer:
879.2
Step-by-step explanation:
How to do this question plz
Answer: x=10
Step-by-step explanation:
We can use the pythagorean theorem here: a^2 + b^2 = c^2, where c is the hypotenuse.
The values for c and one of the legs are already given, so we can plug them into the equation to find the length of the other leg x:
(square root of 200)^2 + x^2 = (square root of 300)^2
200 + x^2 = 300
x^2 = 100
x = 10
Answer:
Step-by-step explanation
square root 300 square - square root 200 square = x square
300 - 200 = x square
100 = x square
square root 100 = x
10= x
Find the ratio of x to y. 2/3 4/9 1
Answer:
[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex]
This can be expressed in 2 parts as
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 10 ( divide both sides by 3 )
x = [tex]\frac{10}{3}[/tex]
and
[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex] ( cross- multiply )
2y = 15 ( divide both sides by 2 )
y = [tex]\frac{15}{2}[/tex]
Thus
[tex]\frac{x}{y}[/tex] = [tex]\frac{\frac{10}{3} }{\frac{15}{2} }[/tex] = [tex]\frac{10}{3}[/tex] × [tex]\frac{2}{15}[/tex] ( cancel 10 and 15 by 5 )
[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{9}[/tex]
Answer:
= 4/9
Step-by-step explanation:
2/3 to the averall of 2/3 ans we got 5/y
sp ab- x/5 = 4/9
Tricky question heelp mee!
146
Step-by-step explanation:
Given:
[tex]x - \dfrac{1}{x} = 12[/tex]
To Find:
[tex] \sf \: The \: value \: of \: {x}^{2} + \dfrac{1}{ {x}^{2} } [/tex]
How to find:
Just square both side, Solve as a equation and get the answer. Simple, Isn't it?
Solution:
See in attachment.
Answer:
146
Step-by-step explanation:
The answer of this question id 146 .
you can do this type of numericals by above process.
Simplify (5 + 1)^2 - (12 + 3^2) = %3.
A. 29
B. -39
C. 5
D. -63
Answer:
29
Step-by-step explanation:
(5+1)^2-(12+3^2)/3 Add 5 and 1 = 6.
6^2-12+3^2/3 Calculate 6 to the power of 2 = 36.
36-12+3^2/3 Calculate 3 to the power of 2 = 9.
36-12+9/3 Add 12 and 9 = 21.
36-21/3 Divide 21 by 3 = 7.
36−7 Subtract 7 from 36 to get 29.
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. Number of People a c c + a = 40 11 c + 20 a = 728 dollars 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults
Answer:
C
Step-by-step explanation:
took test
A university offers a Calculus class, a Sociology class, and a Spanish class. Youare given data below about a group of students who have all taken at least one ofthe three classes.(iv)(i) Group 1 contains 187 students. Of these, 61 students have taken Calculus,78 have taken Sociology, and 72 have taken Spanish. 15 have taken bothCalculus and Sociology, 20 have taken both Calculus and Spanish, and 13have taken both Sociology and Spanish. How many students in Calculushave taken all three classes?\
Let A, B, and C denote the sets of students that have taken calculus, sociology, and Spanish, respectively.
We're given that [tex]A\cup B\cup C[/tex] consists of 187 students.
We want to find the size of [tex]A\cap B\cap C[/tex], given that
• A has 61 students;
• B has 78;
• C has 72;
• [tex]A\cap B[/tex] has 15;
• [tex]A\cap C[/tex] has 20; and
• [tex]B\cap C[/tex] has 13.
Using the inclusion/exclusion principle, we have
[tex]|A\cup B\cup C|=|A|+|B|+|C|-(|A\cap B|+|A\cap C|+|B\cap C|)+|A\cap B\cap C|[/tex]
where |X| denotes the size of the set X. Plug in all the known sizes:
[tex]187=61+78+72-(15+20+13)+|A\cap B\cap C|[/tex]
[tex]\implies|A\cap B\cap C|=24[/tex]
so 24 students have taken all three classes.
Tyler and Katie started a lemonade stand to raise money. They donated 2/10 of their profits to their school library, 1/10 to the animal shelter, and 2/5 to the food bank. They saved the rest to buy materials for their next project. What fraction of their profits did Tyler and Katie donate to others?
Answer:
They donated 7/10 of their profits. This cannot be simplified any further.
mark me BRAINLIEST
Tysmm!!
Answer:
Step-by-step explanation:
2/10 and 1/10 are easily addable fractions so all you have to do is add the numerator to get, 3/10. After that you need to convert 2/5 into tenths so that you can continue to add it correctly. If you multiply the numerator and the denominator of 2/5 to convert it, you will get 4/10 to add.
Answer: 7/10
Can someone please help me please?
Answer:
Step-by-step explanation:
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
51
Step-by-step explanation:
Well we first need to find the volume of the soup in the pot using the following formula,
πr^2h
15*15 = 225
225 * 25 = 5625
5625 * pi = 17671.46
Now we need to find the volume of the ice cube using the formula,
l*w*h
7*7*7 = 343
Now we do 17671.46 ÷ 343 = 51.5202915452
You can have half an ice cube,
thus, Sharon can make 51 whole cubes.
Hope this helps :)
Answer:
130 cubes ( if the cylindrical height is 25 in )
51 cubes ( if the cylindrical height is 25 cm)
Step-by-step explanation:
cube edges = 7 cm long
volume of the soup = pi * r² * h
where h = 25in convert it to cm = 25 in * 2.54 cm/1 in = 63.5 cm
cylindrical pot diameter d = 30 cm
Volume of cylindrical pot = 3.14 * 15² * 63.5 = 44,885.5 cm³
Volume of ice cube = 7 * 7 * 7 = 343 cm³
to get the number of cubes = 44,885.5 / 343 = 130 cubes
therefore, Sharon can make 130 whole cubes
-----------------------------------------------------
if the cylindrical height is 25cm then
Volume of cylindrical pot = 3.14 * 15² * 25 = 17,671.5 cm³
Volume of ice cube = 7 * 7 * 7 = 343 cm³
to get the number of cubes = 17,671.5 / 343 = 51 cubes
For each function, state the vertex and whether the function has a maximum or minimum value. Explain how you decided? f(x) = -(x + 1)^2 + 6
Answer:
maximum value at (- 1, 6 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then minimum value
• If a < 0 then maximum value
y = - (x + 1)² + 6
with (h, k) = (- 1, 6 ) and a = - 1
Thus vertex = (- 1, 6 ) and is a maximum
which ratio forms a proportion 12/15
Answer:
[tex]\frac{20}{25}[/tex]
Step-by-step explanation:
See Attachment for Complete Question
Given
[tex]Ratio = \frac{12}{15}[/tex]
Required
Determine its equivalent proportion
[tex]Ratio = \frac{12}{15}[/tex]
Factorize the given expression
[tex]Ratio = \frac{3 * 4}{3 * 5}[/tex]
Divide the numerator and denominator by 3
[tex]Ratio = \frac{4}{5}[/tex]
We apply the same steps to the given options as follows:
1.
[tex]Ratio = \frac{21}{28}[/tex]
Factorize
[tex]Ratio = \frac{7 * 3}{7 * 4}[/tex]
Divide the numerator and denominator by 7
[tex]Ratio = \frac{3}{4}[/tex]
This is not an equivalent proportion of [tex]\frac{12}{15}[/tex]
2.
[tex]Ratio = \frac{20}{25}[/tex]
Factorize
[tex]Ratio = \frac{5 * 4}{5 * 5}[/tex]
Divide the numerator and denominator by 5
[tex]Ratio = \frac{4}{5}[/tex]
This is equivalent to [tex]\frac{12}{15}[/tex] because they both simplify to [tex]\frac{4}{5}[/tex]
There's no need to check the last option;
Hence, the option that answers the question is [tex]\frac{20}{25}[/tex]
Can anyone please help me with this?
Answer: 4
Step-by-step explanation:
Because there are two equal angles, this is an isoceles triangle. Line JP and HP are equal. To find the variable, write the equation which would be 3x-6=x+2. X is 4.
hope this helped:)
Answer: 4 AKA D
Step-by-step explanation:
Well to start off, we must first establish that line JP and line HP are equal because of the red ticks in the corner. So once we figured that out, then 3x-6 = x+2
»Next we add 6 to both side to make 3x = x+8
»Then we subtract x from both sides to equal 2x = 8
»Then we divide both sides by 2 which equals x=4
»So the final answer would be D. 4
Hope i helped
-lvr
What is the midpoint of the segment shown below? (3, 7) (2, -1)
Answer:
( 2.5 , 3 )Step-by-step explanation:
Let the points be A and B
A ( 3 , 7 ) --------> (x1 , y1 )
B ( 2 , -1 ) --------> ( x2 , y2 )
Finding the midpoint:
[tex]( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
[tex] = ( \frac{3 + 2}{2} , \: \frac{7 + ( - 1)}{2} )[/tex]
[tex] = ( \frac{5}{2} , \: \frac{7 - 1}{2} )[/tex]
[tex] = ( \frac{5}{2} ,\: \frac{6}{2} )[/tex]
[tex] = (2.5 ,\: 3)[/tex]
Hope this helps...
Good luck on your assignment ....
Answer:
(2,-1)
Step-by-step explanation:
Welol to find the line of (3,7) and (2,-1) we need to use the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So -1 is y2 7 is y1 so -1 - 7 = -8
2-3 = -1
Hence, the slope of the line is 8.
And graphing more points on the graph using the slope we can see the y intercept is -17.
So the equation is y = 8x - 17
And the mid point is at (2, -1)
Solve the equation for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures. sine theta cosine theta minus sine theta equals 0
A. {270 degree - 360 degree n, where n is any integer}
B. {270 degree + 180 degree n, where n is any integer}
C. {270 degree + 180 degree n, 315 degree + 180 degree n, where n is any integer}
D. {270 degree + 360 degree n, 315 degree + 360 degree n, where n is any integer}
Step-by-step explanation:
The equation is sinθ * cosθ - sinθ = 0
sinθ * cosθ -sinθ = 0sinθ * cosθ = sinθcosθ = sinθ/sinθcosθ = 1θ = 0 + 2kπ
θ = 2kπ where k is any integer
The solutions to the equation are: {0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}
Hence, the correct option is C.
The given equation is:
sin theta × cos theta - sin theta = 0
We can factor out the sine theta:
sin theta (cos theta - 1) = 0
This means that either sin theta = 0 or cos theta - 1 = 0.
If sin theta = 0, then theta = 0, 180 degrees, 360 degrees, etc.
If cos theta - 1 = 0, then cos theta = 1, which means that theta = 0 degrees and 360 degrees.
Therefore, the solutions to the equation are:
{0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}
So the answer is C.
Learn more about solutions here: brainly.com/question/30665317
#SPJ2
points Q and R are midpoints of the sides of triangle ABC. Triangle A B C is cut by line segment Q R. Point Q is the midpoint of side A B and point R is the midpoint of side A C. The lengths of A Q and Q B are 4 p, the length of Q R is 2 p + 3, and the length of C B is 6 p minus 4. The lengths of A R and R C are congruent. What is AQ? 10 units 14 units 20 units 32 units
Answer:
AQ = 20 units
Step-by-step explanation:
I tried figuring in the pic below..
Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.
We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.
Answer:
20
Step-by-step explanation:
RQ is 1/2 of CB, so 2(2p+3)=6p-4. This would make p=5. Then, 5*4=20.
(also it is right on edgenuity)