Answer:
A. 113.1 yd^2
Step-by-step explanation:
2 × 22/7 × radius = 37.7 yd
radius = 37.7 × 7/44
= 5.9977 yd
Area = 22/7 × radius × radius
= 22/7 × 5.9977^2
= 113.056 yd^2
The members of track team ran laps around their school. They ran a total of 4 1/2 miles, each lap 5/6 mile long. How many laps did they run?
Answer:
5.4 laps
Step-by-step explanation:
One lap = 5/6 miles
= 0.833miles (approximately)
If 0.833 miles = 1 lap
4.5 miles = ?
4.5/0.833 = 5.4 laps
Final answer:
To find the number of laps the track team ran, divide the total distance by the length of each lap. In this case, the team ran approximately 5.4 laps.
Explanation:
To find the number of laps the track team ran, we need to divide the total distance they ran by the length of each lap. The total distance they ran is 4 1/2 miles, which can be written as 9/2 miles. Each lap is 5/6 miles long.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, to find the number of laps, we can multiply 9/2 by the reciprocal of 5/6: (9/2) x (6/5) = 54/10 = 5.4.
Therefore, the track team ran approximately 5.4 laps.
help me please
will give best awnser
Guacamole = 18
Avocado = 6
Lime = 1
Salt = 9
Jalapeno = 3
At a carnival, $2,914.25 in receipts were taken at the end of the day. The cost of a child’s ticket was $20.50, an adult ticket was $29.75, and a senior citizen ticket was $15.25. There were twice as many senior citizens as adults in attendance, and 20 more children than senior citizens. How many children, adult, and senior citizen tickets were sold?
Answer:
"x" children tickets are 70, "y" adult tickets 50 and "z" senior citizen tickets 25
Step-by-step explanation:
With the information of the statement we can pose the following equations:
we have to "x" children tickets, "y" adult tickets and "z" senior citizen tickets.
20.5*x + 29.75*y + 15.25*z = 2914.25
we also have to:
z = 2*y
plus that:
x = z + 20, replacing, we have left:
x = 2*y + 20
now, we replace each other in the main equation:
20.5*( 2*y + 20) + 29.75*y + 15.25*(2*y) = 2914.25
41*y + 410 + 29.75*y + 30.5*y = 2914.25
101.25*y = 2504.25
y = 2504.25/101.25
y = 24.73
z= 2*24.73 = 49.46
x = 2*24.73 + 20
x = 69.46
"x" children tickets are 70, "y" adult tickets 50 and "z" senior citizen tickets 25
Answer:
Children tickets = 69.4667
Adult tickets = 24.7333
Senior tickets = 49.4667
(The decimal does not make sense as we cannot have a fractional amount of tickets, but with the information given, this is the correct answer)
Step-by-step explanation:
Let's call the amount of children C, the amount of adults A and the amount of seniors S. Then, we can write the following system of equations:
C*20.5 + A*29.75 + S*15.25 = 2914.25 (eq1)
S = 2*A (eq2)
C = S + 20 (eq3)
Using eq2 in eq3, we have:
C = 2*A + 20 (eq4)
Using eq2 and eq4 in eq1, we have:
(2*A + 20)*20.5 + A*29.75 + 2*A*15.25 = 2914.25
41*A + 410 + 29.75*A + 30.5*A= 2914.25
101.25*A = 2504.25
A = 2504.25 / 101.25 = 24.7333
Now using eq2, we have:
S = 2*A = 49.4667
And using eq4, we have:
C = 2*A + 20 = 69.4667
(The decimal does not make sense as we cannot have a fractional amount of tickets, but with the information given, this is the correct answer)
Problem
Find the mean absolute deviation (MAD) of the data in the dot plot below.
goals
22
23
23
24
25
26
27
27
Number of goals
Lottie's lacrosse scoring
in each season
Answer:
1.6 is the answer
Hope this helped!
The requried mean absolute deviation is given as 1.625.
What is Statistic?The statistic is the study of mathematics which deal with relations between comprehensive data.
Here,
Average of the given number = 25 + 23 + 23 + 24 + 25 + 26 + 27 +27 / 8
= 197 / 8
Average = 24.625
mean absolute deviation (MAD) = 1/n ∑[xi - average]
mean absolute deviation (MAD) = [|22 - 24.625| + |23 - 24.625|+|23 - 24.625|+|24 - 24.625|+|25 - 24.625|+|26 - 24.625|+|27 - 24.625|+|27 - 24.625|]/8
mean absolute deviation (MAD) = [2.625+1.625+1.625+0.625+0.375+1.375+2.375+2.375]/8
mean absolute deviation (MAD) = 13 / 8 = 1.625
Thus, the requried mean absolute deviation is given as 1.625.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ5
Lines m and n are parallel. What is the Measure of angle 1?
Answer:
55, because the the angle where line k and mine intersect is 55 and they are coresponding angles.
Step-by-step explanation:
How many x-intercepts will the graph of y = 3x2 + 6x + 3 have? (Use the discriminant to
find out!)
A. 3 x-intercepts
B. 1 x-intercept
C. 2 x-intercepts
D. no x-intercepts
Answer:
i think D or B is the answer
Step-by-step explanation:
Answer:
B. 1 x-intercept
Step-by-step explanation:
We can use the discriminant expression, b²- 4ac, to answer this question.
In the equation y = 3x² + 6x + 3 we know that,
3 = a-value
6 = b-value
3 = c-value
Using this information, we can plug these numbers into the discriminant expression to find the discriminant.
6² - 4(3)(3) = 0
Because the value is equal to 0, we know there is 1 real solution and therefore there is 1 x-intercept.
What is the probability that a number less than 6 is rolled on a number cube?
Answer:
1/6 or 1 out of 6
Step-by-step explanation:
Look at the following model.What is incorrect in the model?
Which two of the objects shown below could we slice diagonal to their bases/faces to create ellipse cross-
sections that aren't circles)?
Choose 2 answers:
Cone and cylinder are two of the objects shown below could we slice diagonal to their bases/faces to create an ellipse cross-section.
What is an ellipse?The asymmetrical oval shape is drawn by a spot advancing along a plane so that the sum of its distance from foci is kept the same, known as an ellipse.
A circle is created by cutting at a right angle to the axis. An ellipse is created by cutting at an angle that is more than the angle created by the side of the cone but less than the right angle to the axis.
Every plane that a circular cylinder cross is at a straight angle to its axis. The cylinder is intersected in a curve that resembles an ellipse by a plane that is neither parallel to nor at right angles to the axis.
Hence, cone and cylinder are two of the objects shown below could we slice diagonal to their bases/faces to create an ellipse cross-section.
To learn more about the ellipse, refer to the link: https://brainly.com/question/19507943.
#SPJ2
Polygons PQRST and VWXYZ are similar if PQ = 4 feet, QR = 12 feet, RS = 2 feet, ST = 8 feet, TP = 4 feet, and YZ = 16 feet, then what
is the length of XY?
A.16 feet
B.24 feet
C.14 feet
D.4 feet
Answer:
D
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ST}{YZ}[/tex] = [tex]\frac{RS}{XY}[/tex] , substitute values
[tex]\frac{8}{16}[/tex] = [tex]\frac{2}{XY}[/tex] ( cross- multiply )
8XY = 32 ( divide both sides by 8 )
XY = 4 feet → D
What is the value of x?
A;108
B;72
C;18
D;36
The value of x is 36°.
Given Information:
- The angle at the top of the star is labeled [tex]\(72^\circ\).[/tex]
- There is an angle labeled BFC on line AFC.
Angle Sum Property:
- The sum of the angles formed on a line is [tex]\(180^\circ\).[/tex]
Equation Setup:
- The angles BFC and [tex]\(72^\circ\)[/tex] are part of the line AFC.
- So, [tex]\(BFC + 72^\circ = 180^\circ\).[/tex]
Isolate the Unknown Angle:
- Subtract [tex]\(72^\circ\)[/tex] from both sides of the equation:
[tex]\[BFC = 180^\circ - 72^\circ\].[/tex]
Expression for BFC:
- Simplify the expression to find the measure of BFC:
[tex]\[BFC = 108^\circ\].[/tex]
6. Variable x:
- The angle BFC is expressed in terms of x: BFC = 3x.
Equation Setup for x:
- Set 3x equal to the known value of BFC:
[tex]\[3x = 108^\circ\].[/tex]
Solve for x:
- Divide both sides by 3:
[tex]\[x = \frac{108^\circ}{3} = 36^\circ\].[/tex]
Therefore, the value of [tex]\(x\) is \(36^\circ\).[/tex]
Find the surface area of the pyramid
Answer:
2100
Step-by-step explanation:
Surface area is the area of all the sides
The area of the rectangular base is W x L = 30 x 30 = 900
Then to find the area of the triangles its [tex]\frac{1}{2}[/tex]bh
A = [tex]\frac{1}{2}[/tex] 30 x 20
A = [tex]\frac{1}{2}[/tex] 600
A = 300
Since there are 4 triangle faces on a pyramid we times 300 x 4 = 1200 is the area of all the triangles
Then we add the area's
1200 + 900 = 2100
Sorry if its wrong
HELP PLEASE!!!Describe the change in the graph of the parabola f(x) when it transforms into g(x) =1/2f(x)
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Answer:
D
Step-by-step explanation:
These are transformations. One thing to remember is that only a sign change (like a negative sign on the new function) will change the direction in which the parabola opens.
Here, going from f(x) to 1/2 * f(x) has no sign change, so the parabola will open in the same direction as before. Eliminate A and C.
Vertical transformations are those that are done to the entire function, as opposed to horizontal transformations which are done only on the x. Here, since we're multiplying 1/2 to f(x), we have a vertical transformation.
There are different transformations. The one here would be a vertical shrink by a factor of 1/2. Vertically shrinking a function is basically the same as compressing it, which would make it wider.
The answer is thus D.
Answer:
Last one:
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
g(x) = ½f(x)
g(x) is obtained by a vertical stretch of f(x) by factor ½ (compression)
g(x) would look like f(x), would just be wider
2. A museum has an admission fee of $14 and averages 300 visitors per day. The museum board
decides to raise the fee. Research indicates that for every $1 increase, there would be 10 fewer
visitors per day. Keeping this in mind, the museum committee has found an equation that
represents revenue compared to the number of $1 increases. This relationship can be modeled by
the function: R= -10x2 + 160x + 4200, where R represents total revenue and x represents the
number of $1 increases above the starting fee of $14.
a) What is the maximum revenue possible for the museum?
b) How many $1 ticket increases will give the museum this maximum revenue?
c) What is the museum's revenue if they do not increase their fee?
Answer:
The answer to the questions asked is:
a) The maximum possible income for the museum is $4,840 per day.
b) The increase you must make to obtain the maximum income is $8 per ticket.
c) The income of the museum without increasing the fee is $4200.
Step-by-step explanation:
To solve all the questions asked, we must take into account the provided equation:
R = -10x2 + 160x + 4200The first question asks for the maximum income, that is, the maximum amount of money that can be obtained by making increases in the rate, despite the loss of people, so you must replace the X in the equation with values until instead of increase decrease:
R = -10 (1) 2 + 160 (1) + 4200 = 4350 R = -10 (2) 2 + 160 (2) + 4200 = 4480 R = -10 (3) 2 + 160 (3) + 4200 = 4590 R = -10 (4) 2 + 160 (4) + 4200 = 4680 R = -10 (5) 2 + 160 (5) + 4200 = 4750 R = -10 (6) 2 + 160 (6) + 4200 = 4800 R = -10 (7) 2 + 160 (7) + 4200 = 4830 R = -10 (8) 2 + 160 (8) + 4200 = 4840 R = -10 (9) 2 + 160 (9) + 4200 = 4830As you can see, when the increase is $9, the income falls, so the maximum income is $4,840, while it can be seen that it occurs with an increase of $8, which answers the second question.
For the third question, that is, the income of the museum without increasing the fee, you must remember that the variable X is the increase in the fee, therefore, if you want to obtain the income without an increase, it must be given a value of zero to the variable inside the equation, with which we obtain:
R = -10 (0) 2 + 160 (0) + 4200 = 4200Find the percent of the number.
30% of 30 is
Explain your method.
Answer:
The answer would be 9
Step-by-step explanation:
Step 1: Our output value is 30.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$30=100\%$.
Step 4: Similarly, $x=30\%$.
Step 5: This results in a pair of simple equations:
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
Step 7: Again, the reciprocal of both sides gives
Therefore, 30% of 30 is 9
Answer:
30%of 30 is 9
Step-by-step explanation:
first you change 30% into a decimal (.30) by moving the decimal over to the left two times.
next you multiply 30* .30 ( i recommend you multiply it like this 30.00)
.30
next your first answer should be 900.00 . when you get this answer move the decimal over to the left two time again and your answer look like 9.0000
which is 9 as your final answer :).
Simplify each radical expression, if possible. [tex]3\sqrt{7} -5\sqrt[4]{7}[/tex]
Answer:
It is already in exact form but in decimal form it is -0.19562887
Enjoy your night :)
Answer:
D. cannot be simplified
HURRY QUICKLY SOMEONE PLEASE HELP ME ANSWER THIS QUESTION (10 POINTS)
someone please help meeee
Dr. Michael Lewis bought a bike that cost $455 plus a 7.5 sales tax. Find the final cost
Answer:
should be 489.13
Step-by-step explanation:
<DAC = <BAD
What is the length of CD?
Round to one decimal place
please help me
To calculate the length of CD, additional information about the geometric figure is necessary. Meanwhile, for operations like addition or subtraction, results should be rounded to the same number of decimal places as the number with the least decimal places.
Explanation:The student's question seems to refer to the relationship between angles in a geometric figure and determining the length of a side, specifically the length of CD, within that figure. However, to provide a correct and precise length of CD, more information from the geometric figure or additional conditions are required, such as side lengths or other angle measurements. As the question stands, it lacks sufficient data to calculate the length of CD.
Regarding rounding, in general when you are performing mathematical operations like addition or subtraction, the result should be rounded to the same number of decimal places as the number with the least number of decimal places. For example, if you were to add 5.123 to 2.5, the result should be rounded to one decimal place, since 2.5 has only one decimal place. The correct sum would be 7.6.
Answe plzz!! Will mark u as the brainliest!! The right triangle as shown is rotated 360 degrees around y-axis in three dimensions. What is the 3- dimensional solid resulting from the rotation. A) cone. B) cylinder. C) pyramid. D) prism
Answer:
It would be a cone I think
Step-by-step explanation:
Write the vertex form equivalent of 3x^2-30x+73=y
Answer:
(5,-2) or y=3(x-5)^2 -2
Step-by-step explanation:
A dart hits the board. What is the probability that it will hit in Region II, as a decimal to the nearest tenth?
A) type in your fraction from step 3
B) p(region ll)= _____ (decimal to the nearest tenth)
We have been given a graph of a board. We are asked to find the probability that dart will hit in region II.
The probability that dart will hit the region II will area of region II over area of board.
Let us find area of region II. We can see that one side of region II is 35 and other is 20.
[tex]\text{Area of Region II}=35\times 20[/tex]
[tex]\text{Area of Region II}=700[/tex]
Length of board would be [tex]35+15=50[/tex]
Width of board would be [tex]20+8=28[/tex]
[tex]\text{Area of board}=50\times 28[/tex]
[tex]\text{Area of board}=1400[/tex]
[tex]\text{Probability that dart will land in region II}=\frac{700}{1400}[/tex]
[tex]\text{Probability that dart will land in region II}=\frac{1}{2}[/tex]
[tex]\text{Probability that dart will land in region II}=0.5[/tex]
Therefore, the probability that dart will land in region II is 0.5.
Helpppppp mmmeeeee please need fast
Answer:
9/5
Step-by-step explanation:
The scale factor is what do we multiply A by to get B
Take the ratio of B/A
18/10
9/5
The scale factor is 9/5
Plzzzz someone help me 30 points
Help :) ill mark as brainliest.
Answer:
C. 3,386,880 yd^3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Trina and Seth walk 3 miles south and 5 miles east to get from their canoe to their tent. If a walkway existed between the canoe and tent, how far would they then haveto walk? Round to the nearest mile. (PLEASE SHOW WORK!!)
Answer:
6 miles
Step-by-step explanation:
The formula to find the hypotenuse of a right triangle is as follows,
[tex]\sqrt{a^{2} } +b^{2}[/tex]
The line is supposed to be longer on the rooting but it won't go any longer so we just have to make do.
Anyways, a is 1 side length and b is the other. Doesn't matter which one you make b or a.
Now you just plug in and solve
[tex]\sqrt{9} +25[/tex] (that's after you square it)
add them
[tex]\sqrt{34}[/tex]
simplify
5.83095189485
you can just stop at the hundredths place
5.83
You can estimate that it's about 6
and 6 is your answer
4x – 3y = 8 5x – 2y = -11 elimination
Answer:
x=-7 and y=-12
Step-by-step explanation:
Find the HCF of
9rºy& 3y2
Answer:
Step-by-step explanation:
hello :
9rºy=9y =3y×3
3y² = 3y ×y
HCF of
9rºy& 3y2 : 3y
Answer:
9rºy=9y =3y×3
3y² = 3y ×y
so...
HCF of
9rºy& 3y2 : 3y
Hope It Helps :)
Which is the equation of an ellipse centered at the origin with endpoints of Major and minor axes at: (0,-7), (0,7), (-3,0), (3,0)
Answer:x2/9+y2/49=1
Step-by-step explanation:
what is the additive inverse of 1?
Answer:
the additive inverse of 1 is 1 because 1+1=0 and the multiplicative inverse of 1 is 1.
Step-by-step explanation:
Answer:
multiplicative inverse 1 is 1
Step-by-step explanation:
(happy to help!!!)
Which of the following is the pyramidal number sequence?
A. 1, 3, 6, 10, 15, ...
Answer:
A
Step-by-step explanation:
because if you were to do dots in a triangle shape they would fit (i don’t know if the makes any sense)
Answer:
A. 1, 3, 6, 10, 15,21
Step-by-step explanation:
they added 1 every time it continues