Answer:
B
x + y = 712
8x + 4y = 4,256
Step-by-step explanation:
If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712
The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256
Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n
can someone tell me how to do this I keep getting 3.14 over x
Answer:
60.46%
Step-by-step explanation:
Question: On this dartboard, the circle with 1-m radius is inscribed in an equilateral triangle. Find the probability that a dart that hits the board lands in the circular region. Justify your answer.
Let's start by finding the length of one of the sides of the equilateral triangle. We can do this by creating a 30-60-90 triangle from the radius of the inscribed circle.
I attached an image of what this should look like.
Solving for the length of half of the base of the equilateral triangle gives us 1√3. To get the length of the entire base of the triangle, we will double this value:
s = 2√3The area of an equilateral triangle is [tex]\displaystyle A=\frac{s^2 \sqrt{3} }{4}[/tex].
We can substitute the known value of s (side length) into the formula and solve for A.
[tex]\displaystyle A_t=\frac{(2\sqrt{3})^2\cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=\frac{4(3) \cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=3\sqrt{3}[/tex]The area of the equilateral triangle is 3√3.
Now, let's solve for the area of the inscribed circle. The formula for the area of a circle is [tex]\displaystyle A= \pi r^2[/tex].
We know the radius of the circle is 1, so let's substitute 1 for r:
[tex]A_c= \pi (1)^2[/tex] [tex]A_c=\pi[/tex]The area of the inscribed circle is π.
To find the probability of the dart hitting a specific area on the dartboard, we will divide the desired area by the total area of the dartboard.
[tex]\displaystyle P=\frac{\text{Desired area}}{\text{Total area}}[/tex] [tex]\displaystyle P=\frac{\pi}{3\sqrt{3} }[/tex] [tex]\displaystyle P=\frac{\pi \sqrt{3} }{9}[/tex] [tex]P \approx 0.60459978[/tex]The probability that a dart that hits the board lands in the circular region is about 60.46%.
Solve for m. Write your answer as an inequality expression using the correct symbol.
m + 7 ≥ 20
PLZ help
Answer: m ≥ 13
m + 7 ≥ 20
Step-by-step explanation:
you basically subract 7 from 20 and 7
7-7 will cancel each other out 20-7 will give you = 13
m ≥ 13 is your answer
Determine the equation of the graph in its final position if the graph of y = 2X
is translated 2 units to the right and then 7 units upward.
1) y = 2x+7+ 2
2) y = 2X-2 + 7
3) y = 2X+2+7
O4) y = 2x-7, + 2
Answer:1
Step-by-step explanation:
The formula for the volume of a cone is V = 1/3 πr^2 h. Which part of the formula represents the area of the base?
PLEASE HELP MEEEEEEEEEEE
(2 questions)
(USA Test Prep and Quizzez)
Answer:
1. -25
2. 2.1
Step-by-step explanation:
-1/2(x + 5) = 10
divide both sides by 2.
-1(x + 5) = 20
-(x + 5) = 20
-x = 20 + 5
x = -25
k/3.5 + 7.4 = 8
2k/7 +37/5 = 8
10k = 280 - 259
10k = 21
k = 21/10 (2.1)
Answer:
1.x=15
2.k=2.1
Step-by-step explanation:
1.-1/2(x+5)=-10
-x+5/2=-10 multiply both sides by 2
-x-5=-10
-x=-20+5
-x=-15 multiply both sides by -1
x=15
2.k/3.5+7.4=8
k/3.5=8-7.4
k/3.5=0.6
multiply both sides by 3.5
k=2.1
Write a phrase for each algebraic expression using a word
from the given word bank. Your phrase must include a
word from the word bank.
WORD BANK: more than, less than, quotient, product, cubed
a) m * m * m
b) 4/m
c) 4 + m
d) 4m
e) 4 - m
Answer:
yessir
Step-by-step explanation:
WILL GIVE BRAINYEST!!! PLS HELP!!!
Mr. Hudson walked 12 miles in 3 hours. At this rate,
how far will he walk in 5 hours? Write your answer in
a complete sentence AND show your work.
Please helppp, worth 35!!!
Answer:
9.42
Step-by-step explanation:
Hey There!
The first step of this problem is to find the formula for arc length
[tex]arc-length=2\pi r(\frac{0}{360} )[/tex]
r=raduis
0 = angle
now we just plug in the values
[tex]arc-length=2\pi 10\frac{54}{360} \\2\pi =6.283185307\\6.283185307x10=62.83185307\\62.83185307\frac{54}{360}=9.424777961[/tex]
so the arc length equals 9.424777961
the last step is to round to the nearest hundreth
so your final answer is 9.42
Evaluate the following expression -5+(63/9)
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help
Answer: its 3x+20 to my calculations
Step-by-step explanation:
21.8% all registered doctors are female if there were 51800 female doctors what is the total doctors that registered
Answer:
Step-by-step explanation:
21.8% of x = 51,800
0.218x =51,800
x= 51,800/0.218 = 237,615
The length of a photograph is 4 in. greater than its width. The area of the photograph is
52. in? What are the dimensions of the photograph?
Answer:
Step-by-step explanation:
The length of a photograph is 4 in. greater than its width. The area of the photograph is
52. in? What are the dimensions of the photograph?
Carry out the following division.
Answer:
1: 8a²
2: 9a²b²c²
Step-by-step explanation:
1: 48a³ ÷ 6a
48÷6 = 8
8a²
2: 72a³b⁴c⁵ ÷ 8ab²c³
72÷ 8 =9
9a²b²c²
Sry , I could only solve the first one
7. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)
9514 1404 393
Answer:
7. D: (-∞, ∞); R: [3, ∞); see attached for a graph (red)
8. a=0; see attached for a graph
Step-by-step explanation:
7. The function is a polynomial, so its domain is all real numbers.
The parabola opens upward. It has a minimum value of 3. The range is y ≥ 3.
__
8. Putting the given point coordinates in the equation, we can solve for a.
f(7) = 6
6 = a(7 -5)² +6
0 = a(2²)
0 = a
The value of a is zero.
(The given point has the same y-value as the vertex, but is not the vertex. The function can only go through that point if it is a horizontal line (not a parabola).) The attachment shows a graph.
please help me i really need help please
Answer:
90+42+x = 180
132+x=180
x=180-132
x=48
Answer:
48 DEGREES
Step-by-step explanation:
First you need to find the other two angles : 42 + 90 = 132 ( the 90 comes from the little square like shape on the other angle).
So x = 180 - 132 = 48 ( we use 180 because it is the sum of interior angles of a triangle.
HOPE THIS HELPED
Kevin correctly answered 75% of 32 test questions. How many questions did Kevin answer correctly? How many more questions would Kevin have had to answer correctly to get more than 80% correct?
Answer:
At least 26 questions to get around an 82% not 25 because that equals 78%
Step-by-step explanation:
Answer:
Kevin answered 24 questions correctly.
Kevin would have to answer 25.6 questions correctly to get more than 80%.
WILL MARK BRANL:IEST NO FAKE ANSWERS I NEED ASAP
Answer:
(-5, 9)
Step-by-step explanation:
i borrowed R3 000 from the bank . the contract stipulates that i have to repay the bank R3 900 after 2 years . how much much interest must i pay the bank per year
Answer:$450 per year
Step-by-step explanation: If you borrow 3000 dollars and after 2 years you have to pay 3,900 then after 2 years the intrest is 900 dollars, divide that by 2 for the two years and you get a yearly 450 dollars.
Find the probability that when a couple has five children, at least one of them is a boy. (assume that boys and girls are equally likely.)
Answer:
The easiest way to figure this is to find P(no girls in 5 births) = (1/2)^5 = 1/32 -------------- The P(at least one girl in 5 births) = 1 - 1/32 = 31/32
The probability that when they have five children, at least one of them is a boy is 31/32
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome:
The probability that a couple will have a boy or girl among the five children = 1/2
If they gave birth to 5 children:
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)^n where:
n is the total number of children
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)ⁿ
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)⁵
The probability that when they have five children, at least one of them is a boy = 1- 1/32 = 31/32
Hence the probability that when they have five children, at least one of them is a boy is 31/32
Learn more here: https://brainly.com/question/13604758
Determine if each proportion is true or false
5/6= 15/18
3/5 = 60/100
20/14 =10/7
4/13= 10/32
Answer:
True
True
True
False
Step-by-step explanation:
15/18 simplified is 5/6
3/5 multiply both numerator and denominator by 20 to get 60/100
20/14 simplified is 10/7
4/13 multiply both by 2.5 to get 10/32.5 and 32.5 does not equal 32
Answer:
Step-by-step explanation:
[tex]\frac{5}{6}=\frac{15}{18}[/tex]
Cross multiply
5 *18 = 15 *6
90 = 90
True. They are in proportion
[tex]\frac{3}{5}=\frac{60}{100}[/tex]
Cross multiply
3*100 = 60 *5
300 = 300
True. They are in proportion
[tex]\frac{20}{14}=\frac{10}{7}[/tex]
Cross multiply
20*7 = 10*14
140 = 140
True. They are in proportion
[tex]\frac{4}{13}=\frac{10}{32}[/tex]
Cross multiply
4*32 = 10*13
128 ≠ 130
False. They are NOT in proportion
A bowl of mixed vegetables contains carrots, broccoli, and cauliflower. If the bowl contains 80 vegetable pieces, and 25% of the pieces are carrots, how many carrots are in the bowl?
Answer:
Number of carrot pieces in bowl = 20
Step-by-step explanation:
Given:
Total number of vegetable pieces = 80
Percent of carrot = 25%
Find:
Number of carrot pieces in bowl
Computation:
Number of carrot pieces in bowl = Total number of vegetable pieces x Percent of carrot
Number of carrot pieces in bowl = 80 x 25%
Number of carrot pieces in bowl = 80 x 0.25
Number of carrot pieces in bowl = 20
Answer:
20
Step-by-step explanation:
I took it on Edge
please find the value of a
Answer:
I cant lp because
i'm on the school computer so sorry. <:(
so I cant see your Step-by-step explanation:
Plz help ASAP 20 Points Determine the equation of circle A.
(x - 1)2 + (y + 2)2 = 9
(x + 1)2 + (y-2)2 = 9
(x-1)2 + (y + 2)2 = 3
(x + 1)2 + (y-2) = 3
Answer:
the answer is c
Step-by-step explanation:
your equation is to solve the circle so A could not be the answer B/c it can't be 9.the answer is c or d. But d can't give you 3 if you solve it. so the answer is C
Tomás is gathering data about the sleeping habits of high school students. So far, he has completed 3 different surveys, each with 70 respondents.
What should Tomás expect as he continues his data-gathering process?
As the number of surveys increases, the mean of the sample means will approach ______, and the means will be ___________.
70 Points
Answer:
The population mean
Normally distributed
Please give me brainliest, I really need it.
a)As the number of surveys increases, the mean of the sample means will approach the population mean.
b)Means will be normally distributed.
What is a normal distribution?A normal distribution is a probability distribution that is symmetric about the mean, and data near the mean are more frequent than data far from the mean.
As the number of surveys increases, we will have more data.
So, the mean of the sample means will approach the population mean.
Means will be normally distributed because each survey has the same number of respondents.
Thus, a)as the number of surveys increases, the mean of the sample means will approach the population mean.
b)Means will be normally distributed.
To get more about normal distribution visit:
https://brainly.com/question/4079902
The length of time the Sun is above the horizon is called the
Angle of insolation
Intensity of insolation
Duration of insolation
Longitude of insolation
In the function, g(x) = -2x, the independent variable has a value of 6. Find the value of the dependent variable. Type a
numerical answer in the space provided. Do not type spaces in your answer.
Answer:
g(6)
g(x)=-2x
g(6)=-2(6)
g(6)=-12
-12
that the answer
Step-by-step explanation:
[tex] \frac{47}{5} [/tex]
The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).
Which is an equation in terms of x and y for this function?
y = 12x + 10
y = 23x + 9
y = 32x + 8
y = 2x + 7
Answer:
y=12x+10
Step-by-step explanation:
hope this helps sorry if I'm wrong
Answer question 11 for me.
Answer:
what is true about p and q is that they both equal 20.
Step-by-step explanation:
[tex]\frac{2*20}{5*20}[/tex]=[tex]\frac{40}{100}[/tex]
hope this helps!
have a great day :)
What is the slope of the line passing through (-2, 4) and (3,-4)