Answer:
192 children and 145 adults were admitted.
Step-by-step explanation:
Let c represent the amount of children and let a represent the amount of adults.
Total fees for children = (Fee for one child) x (Amount of children) = 6.5c
Total fees for adults = (Fee for one adult) x (Amount of adults) = 15a
Total fees = Total fees for children + Total fees for adults
3423 = 6.5c +15a
We know that the amount of people who entered the park was 337. Therefore a+c=337, which means a=337-c.
Sub this in to the equation above to get:
3423 = 6.5c +15 (337-c)
3423 = 6.5c + 5055 - 15c
-1632 = -8.5c
c = 192
So there were 192 children.
Since a=337-c and c=192, a=337-192=145. So there were 145 adults.
Refer to the rectangular prism
Answer:
Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.
Step-by-step explanation:
If you can help please and thanks
Answer:
Cost of each pendant = $2.80
Step-by-step explanation:
Since we're given information regarding the total cost of beads, $13.20, and the total cost of beads and pendants for all 4 necklaces, $24.40:
Let b = beads
p = pendants
C = total cost of beads and pendants for all 4 necklaces.
b + p = C
$13.20 + p = $24.40
$13.20 - $13.20 + p = $24.40 - $13.20
p = $11.20 (This represents the total cost of 4 pendants).
To find out the cost of each pendant, divide $11.20 by 4:
$11.20 ÷ 4 = $2.80
Therefore, the cost of each pendant is $2.80.
Answer:
I'm 50% sure it's $7.52 though I may be wrong
In a circle L, M, N are the points on the circle forming a triangle with LM = LN and mZMLN is 35' then what is m(arc LN)?
Answer:
145°Step-by-step explanation:
ΔLMN is isosceles with angle L being 35°.
Angle measure of M and N is same:
m∠M = m∠N = 1/2(180 - 35) = 72.5Arc measure is twice the intercepting angle, since the angle is not central:
mLN = 2*72.5 = 145simplify the expression.
-1 (x+9)
Answer:
-x-9
Step-by-step explanation:
-1(x+9)
(-1)(x) + (-1)(9)
(-x) + (-9)
-x-9
Answer:
-9x
Step-by-step explanation:
(x+9)=(9x) and then
9x x -1
-9x is the answer
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
someone please help with this question for brainliest !!!!:)
Answer:
11
0
1
30 ...........
.....
what is the answer to 12 divided by 51.6??? can i have an explanation to please if you guys don't mind??
Answer:
will u give the brainliest?
How do you write 3.866 x 10^15 in standard form?ASAP BRAINLIST
Answer:
3866000000000000
Step-by-step explanation:
you move the decimal 15 spaces to the right
Show that: [tex]\sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]
Brainliest! Brainliest..ans.
Here we need to Prove that ,
[tex]\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]
Lets start with LHS , which is ,
[tex]\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } [/tex]
We know that ,
[tex]\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}[/tex]
• So that ,
[tex]\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS [/tex]
Hence ,
[tex]\implies \boxed{\bf \red{ LHS = RHS }} [/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider LHS:
[tex]\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}[/tex]
As we know that:
[tex]\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}[/tex]
We get:
[tex]\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}[/tex]
We can also write it as:
[tex]\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}[/tex]
We know that:
[tex]\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}[/tex]
We get:
[tex]\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}[/tex]
[tex]\sf= x^{0}[/tex]
[tex]\sf=1[/tex]
[tex]\textsf{= RHS}\\[/tex]
Find the area of the circle.
Step- by - Step Explanation:
Area of a circle=πr²
=3.14...×6²
=113.0973355292325
Approximately ≈113.1cm²
Please mark BRAINLIEST if I'm right.
ready
A machine contains two gears. The large gear has 12 teeth and the small gear has 8 teeth.
The gears are marked with arrows to show their starting positions. Josh wants to know how
many times each gear needs to turn for the arrows to line up again.
10
•) Find the number of teeth that have touched
after each full turn of the large gear.
11
Small Gear
) Turns )
Large Gear
Teeth
Teeth
1
12
8
2
3
?
4
?
Answer:
Step-by-step explanation:
I think it is a strangely worded question as they only refer to the larger gear turning.
I believe that this is what they are going for.
Number of teeth passing in each revolution
The Numbers match when the large gear turns two times as the smaller gear turns three times.
Hey<3 If you help you’re amazing if you don’t you’re awesome.
============================================================
Check out the diagram below.
I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.
Block A = largest block on the leftBlock B = middle blockBlock C = smallest block on the rightSo,
volume of block A = length*width*height = 6*6*8 = 288 ft^3volume of block B = length*width*height = 6*6*5 = 180 ft^3volume of block C = length*width*height = 6*6*3 = 108 ft^3Therefore, the total volume we're working with is:
A+B+C = 288+180+108 = 576 cubic feet
The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.
Julie bought 4,649 lemons to make lemonade for a birthday party if this number is rounded to the nearest hundred about how many lemons did Julie bought ?
I need the solving too please
Which conversion factor would you use to convert from meters to feet? 0.3048 m 1 ft 0.3048 m 1.61 miles 1 km 1 in. 2.54 cm
Answer:
There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.
plot 1 1/2 and its opposite on the number line
Answer:
the opposite of 1 1/2(1.5) is -1 1/2(-1.5)
Step-by-step explanation:
A publisher reports that 28% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 300 found that 23% of the readers owned a personal computer. Determine the P-value of the test statistic. Round your answer to four decimal places.
cacacacacacas
⇆⇆⇄πβ≅≅ΔΔΔ
yes
The hourly rate for a lecturer is £17.50. She works 35 hours a week and 8 hours overtime at time-and-a-half. What is her total pay for the week?
Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).
Answer:4
Step-by-step explanation:
You have a square table and want to create a
tablecloth for it using a piece of fabric.
The side length of the table is 72 inches. How
much fabric do you need?
Based on the information given, the length of fabric that's needed will be 288 inches.
From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:
= 72 inches × 4
= 288 inches.
Therefore, the length of fabric that's needed will be 288 inches.
Read related link on:
https://brainly.com/question/24429956
I need a lil help here (18 points!!!!!)
Answer:
correct answer is 2
............................
Answer U4
Step-by-step explanation:
blank is 4
an example of an abelian group which is not cyclic
G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.
The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.
A) 52°
B) 78°
C) 96°
D) 39°
50 tickets need sold but only 9 have been sold what percent have been sold?
Answer:
18%
Step-by-step explanation:
You give an 18% tip for a meal. What expression represents the total cost with tip?
Answer:
multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Step-by-step explanation:
Determine whether the equation is a linear equation in two variables. 5y = x - 5
Answer:
Yes
Step-by-step explanation:
start with 5y=x-5
divide both sides by 5 to get:
y= x/5 - 1
since a linear equation is represented by y=mx+b, and this can be represented in that form, this is a linear equation.
Solve the equation for X x - 5 = 12
Answer:
X= 17
Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)
Answer: x=17
Add 5 on both sides
x-5+5=12+5
x=17
Step-by-step explanation: Hope this helps!
If you are having a tough time with math you can use:
khanacademy,
mathnation,
and many other free sources
Find the median of the data set.
2, 33, 23,37,45, 5,49, 27,48
A) 33
B)45
C)29.9
D)5
The answer that is in blue is mine but I’m not sure if it’s right
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.7 pounds. This month, the puppy weighed 10.05 pounds. What is the percentage increase of the weight of the puppy?
Answer:
50%
Step-by-step explanation:
math read please IMA WRITE USELESS WORDS CONTINUE
Assume that when human resource managers are randomly selected, 41% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that at least 4 of them say job applicants should follow up within two weeks.
Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.
For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
n is the number of trials.x is the number of successes.p is the probability of a success on a single trial.In this problem:
41% say job applicants should follow up within two weeks, thus [tex]p = 0.41[/tex]8 managers are selected, thus [tex]n = 8[/tex].The probability that at least 4 of them say job applicants should follow up within two weeks is [tex]P(X \geq 4)[/tex], which is given by:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147[/tex]
[tex]P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816[/tex]
[tex]P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985[/tex]
[tex]P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759[/tex]
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295[/tex]
0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.
A similar problem is given at https://brainly.com/question/25166697