Answer:
The number of tickets sold are
Children = 256
Adults = 486
senior citizen = 204
Step-by-step explanation:
let
x = children ticket = $10 per piece
y = adult ticket = $14 per piece
z = senior citizen = $6 per piece
x + y + z = 946 ( total tickets sold ) ---------- ( 1 )
Total receipt for performance
10x + 14y + 6z = $10588 --------------- ( 2 )
since the combined number of children and Adult tickets exceeded twice the number of senior citizen tickets by 334
x + y - 2z = 334 --------- ( 3 )
substract equation 3 from equation 1
3z = ( 946 - 334 ) = 612 therefore Z = 204
next we multiply equation (1) by 14
14x + 14y + 14z = 13244 ---------- ( 4 )
substract equation (2) from ( 4 )
4x + 8z = 2656
= 4x + 8(204) = 2656
= 4x = 2656 - 1632
therefore : x = 256
back to equation 1
256 + y + 204 = 946
y = 946 - ( 256 + 204 ) = 486
Hence the number of tickets sold are
Children = 256
Adults = 486
senior citizen = 204
Membership for the Alpine rock-climbing gym costs $12 per month plus a $120 sign-up fee. Membership for Rocco’s rock-climbing gym costs $20 per month plus a $60 sign-up fee.
After how many months will the memberships cost the same?
Answer:
Around month 7-8
Step-by-step explanation:
Alpiine=
1 month=$132
2=144
3=156
4=168
5=180
6=192
7=204
8=216
9=228
10=240
Rocco=
1 month=80
2=100
3=120
4=140
5=160
6=180
7=200
8=220
9=240
10=260
Two natural numbers differ by 1 and add to give 35. Find the smaller number. google it and answer will come,I just need answer pls.. It is blocked on my school chromebook soo...
Answer:
17
Step-by-step explanation:
Since the numbers differ by 1, you can write the smaller number as x and the bigger one as x+1.
When you add them together you get 35: x+x+1=35
This simplifies to 2x+1=35.
When you solve you get 2x=34 so x=17.
3 3/4x1/5 in fraction
Answer:
3/4
Step-by-step explanation:
1 1/2 divided 3/5 i am stuck on this question
Answer:
2.5
Step-by-step explanation:
Answer:
2.5 as decimal 5/2 as a fraction
Step-by-step explanation:
Let be a continuous random variable that follows a normal distribution with a mean of and a standard deviation of . Find the value of so that the area under the normal curve to the right of is . Round your answer to two decimal places.
Complete Question
Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.
a
Find the value of x so that the area under the normal curve to the left of x is .0250.
b
Find the value of x so that the area under the normal curve to the right ot x is .9345.
Answer:
a
[tex]x = 403[/tex]
b
[tex]x = 436.75[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 550[/tex]
The standard deviation is [tex]\sigma = 75[/tex]
Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as
[tex]P( X < x) = P( \frac{x - \mu }{ \sigma} < \frac{x - 550 }{75 } ) = 0.0250[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X < x) = P( Z < z ) = 0.0250[/tex]
Generally the critical value of 0.0250 to the left is
[tex]z = -1.96[/tex]
=> [tex]\frac{x- 550 }{75} = -1.96[/tex]
=> [tex]x = [-1.96 * 75 ]+ 550[/tex]
=> [tex]x = 403[/tex]
Generally the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as
[tex]P( X < x) = P( \frac{x - \mu }{ \sigma} < \frac{x - 550 }{75 } ) = 0.9345[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X < x) = P( Z < z ) = 0.9345[/tex]
Generally the critical value of 0.9345 to the right is
[tex]z = -1.51[/tex]
=> [tex]\frac{x- 550 }{75} = -1.51[/tex]
=> [tex]x = [-1.51 * 75 ]+ 550[/tex]
=> [tex]x = 436.75[/tex]
PLEASE!!!! I NEED HELP!!! 50 POINTS!!!
1.Mrs. Thomas is designing a rectangular pool for her backyard. The width of the pool is 71/2 feet shorter than twice its length. The perimeter of the pool is 75 feet. What is the length of the pool?
2.Callie’s dad is installing a fence in the rectangular backyard. He purchased 110 feet of fencing and plans to use all the fencing. The width of the fenced area will be 5 feet less than twice the length of the fenced area. What is the length of the fenced area?
3.A rectangular television’s length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?
Answer: For the first one , the answer is 15 , the equation is 75=2f+2(2f-7.5)
For the Callie question , the answer is 20 , the equation is 110=2f+2(2f-5)
The third answer is 23 and the equation is 144=2(2w+3)+2w
Step-by-step explanation:
10. If f(x) = { 2x-5 if x < 4
and f(x) {-2/3 x + 2 when x > 4 What is f(3)?
A.) 1
B.) 3
C.) -1
D.) 3
E.) None of these
Which equation represents a line that passes through the two points in the
table?
Answer:
C
Step-by-step explanation:
use the points to find the slope (y-y1/x-x1) 3-5/3-6 = 2/3
the answers are all in point slope form so the slope is 2/3 and the point represented is 3,3
Answer: It’s A. Just did it
Step-by-step explanation:
Can anyone tell me whats the answer to this?
Answer:
Both triangles are congruent so it's 55 mi
Step-by-step explanation:
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.6 years with a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 49 children begin reading. What would be the mean of the sampling distribution?
Answer:
The value is [tex]\mu_{x} = 5.6 \ years[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 5.6 \ years[/tex]
The standard deviation is [tex]\sigma = 0.9 \ years[/tex]
The sample size is n = 49
Generally given that the sample size is large enough, the sampling distribution created using the samples of the ages at which 49 children begin reading is equal to the population mean
i.e
[tex]\mu_{x} = \mu[/tex]
=> [tex]\mu_{x} = 5.6 \ years[/tex]
Rachel ate 1/8 of the pepperoni pizza and 1/4 of the cheese pizza. How much of a pizza did she eat?
Answer:
3/8
Step-by-step explanation:
1/4 = 2/8
1/8 + 2/8 = 3/8
Rachel ate 3/8 of the pizza in total from pepperoni pizza and cheese pizza.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Rachel ate 1/8 of the pepperoni pizza and 1/4 of the cheese pizza.
The total pizza eaten will be calculated as,
1/4 = 2/8
1/8 + 2/8 = 3/8
Hence, Rachel ate 3/8 of the pizza in total from pepperoni pizza and cheese pizza.
To know more about an expression follow
https://brainly.com/question/14075635
#SPJ2
Tnak you guys for giving me brainliest i really appreciate it. THANK U ALL!!!!!!! :D
Answer:
no problem
Step-by-step explanation:
Ricky walked a total of 4 3/4
miles on the school track. He stopped every 1/4
mile to rest.
Rick stopped
times to rest. Round your answer to the nearest whole number, if necessary.
Answer:
19
Step-by-step explanation:
Is he stop every 1/4 mile you get 19
There are 4 1/4 miles in every mile. 4x4(Equation of total 1/4th's in 4 miles) is 16. Add 3 more 1/4th's to get 19
Hope this helps!
Total number of rest is 19 times
Fraction based problem:Given that;
Distance walked by Ricky = 4³/₄ miles = 19 / 4 miles
rest on every mile = 1/4 miles
Find:
Total number of rest
Computation:
Total number of rest = Distance walked by Ricky ÷ Rest on every mile
Total number of rest = [19 / 4] ÷ [1 / 4]
Total number of rest = 19 times
Find out more information about 'Distance'.
https://brainly.com/question/26711747?referrer=searchResults
1.43 x 10 to the 9 power
Answer:
25004854810.8
Step-by-step explanation:
You multiply 1.43 by 10 to get 14.3. Then you multiply 14.3 by itself 9 times. Hope this helps!
You buy 6 items for $25,60. About how much did you spend?
Answer:
153.6
Step-by-step explanation:
Answer:
153.60
Step-by-step explanation:
6×25.60=153.60
A recipe has a ratio of 2 cups of dark soy sauce to 3 cups of light soy sauce. How many cups
of dark soy sauce are there for each cup of light soy sauce?
Answer:
2/3 cup
Step-by-step explanation:
2:3
2/3:1
2/3=0/66 repeating
simplified to a fraction its 2/3
{17}{15}={10}{2x-2} x =
Answer: 12.85
Step-by-step explanation: If you start off by multiplying them then. You'd get 225=20x-2. So from there you subtract the 2, to isolate the 20x. Then divide bother sides by 20 to get 12.85.
Answer:
The answer is 5.4
Step-by-step explanation:
{17}{15}={10}{2x-2} x =92/17
92/17 rounded to the nearest tenth is 5.4117...
5.4
im late to answer this question but to help people in the future with this same question... here you go x)
Deonna is arranging pictures of her trip to Jamaica into a photo album. Twenty percent of her photos are just of her. If Deonna took 200 photos, then how many photos are there of just her in the picture?
Answer:
I think it is 10% but I may be wrong hope this kinda helped
Step-by-step explanation:
What are the intercepts of the equation? 5x + y = 30
Answer:
Slope=−2.00010.000=−5.000
x−intercept=530=6
y−intercept=130=30.00000
Step-by-step explanation:
Helpppppppppppppppppppppppppp
HELP ASAP 30 POINTS
Im getting a bit desperate now so i raised the price. please answer this:
Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 54.7°F, what will be the temperature when the plane reaches an altitude of 4,000 ft?
4000/1000 = 4
There are 4 drops in temperature.
1.9 x 4 = 7.6 total temperature drop.
54.7 - 7.6 = 47.1 F temperature
1.9 x 4 = 7.6 total temperature drop.
54.7 - 7.6 = 47.1 F temperature
which ONE DOES NOT BELONG? 5231+4331=9462 or 3696+6936=10 635 or 1842+1614=3456 or 2184+4182=6996
Answer:
5231+4331=946 doesn't belong
Step-by-step explanation:
5231+4331=9562
The temperature dropped 12 degrees in 3 hours.How many degrees dropped per hour?
Answer:
4 degrees
Step-by-step explanation: First find the unit rate by dividing 12/3=4 so the temperature drop 4 degrees every hour
The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17. The passing score was 111 or higher.
Use the z-table to answer the question.
What percent of students passed the midterm?
70% IS THE ANSWER
Answer:
70% is the correct answer
Step-by-step explanation:
Answer:
70% is correct
A regular garden hose can pump 1,200 gallons of water in 2 hours. What is the unit rate of
the water flow measured in gallons per minute?
Answer: 10 gallons per minute
Step-by-step explanation: divide 1200 by 2 to get 600. Then divide 600 by 60. Because there are 60 minutes in an hour.
-w/20=-2.5 help please its due today
Answer:
w = 50
Step-by-step explanation:
−w /20 = −2.5
Step 1: Simplify both sides of the equation.
−1 /20 w = −2.5
Step 2: Multiply both sides by 20/(-1).
( 20/ −1 ) * ( −1/ 20 w) = ( 20 /-1 ) * (−2.5)
w = 50
is 4kg greater than 4000g
Answer:
Nope they are the exact same
Milo pays $3 per pound for dog food at Pat’s Pet Palace. The graph below represents the cost per pound of food at Mark’s Mutt Market. At which store will Milo pay a lower price per pound for dog food?
Natalie drove 12.25 hour for a total of 686 miles. How fast did she drive in miles per hour?
Answer:
step 1= 12.25*60=735minutes
step 2=686/735=0.933333kilometer.
step 3=0.9333333*60=56kilometers.
Help a brotha out........
Answer:
it's flipped I guess ♀️
Answer:
6/12 = 1/2
12/6 = 2
you get different answers when the numerator & denominator are flipped