The general admission tickets sold are 1467 and the number of reserved seats tickets sold is 358.
Two equations would be derived from the question:
$2.50a + $5b = $3667.50 equation 1
a + b = 1109 equation 2
Where:
a - number of people for the general admission
b = number of people for the reserved seats
To determine the value of b, take the following steps:
Multiply equation 2 by 2.5
2.5a + 2.5b = 2772.50 equation 3
Subtract equation 3 from 2
2.5b = 895
Divide both sides by 2.5
b = 358
In order to determine the value of a, substitute for b in equation 2
358 + a = 1109
a = 1109 - 358 = 1467
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A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.
Answer:
radius: 1460 micircumference: 9174 miStep-by-step explanation:
If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...
82.6°/360° = 413/1800 ≈ 0.229444...(repeating)
The relation between the given distance and the circumference is ...
0.294444C = 2105 mi
C = 2105 mi/0.294444 ≈ 9174 mi
The radius of the spherical planet is this divided by 2π:
r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi
The radius of the planet is about 1460 miles; the circumference is about 9174 miles.
Please can someone help me with this
Answer:
1 : 0.44.
Step-by-step explanation:
93 : 41
= (93/93) : (41/93)
= 1 : 0.44.
The homeowners association for a residential community is selecting a committee of 7. There are 24 candidates for positions. How many possible committees can be formed?
Answer: 168
Step-by-step explanation:
Times the two numbers together to get the combinations.
24x7=168
Possible number of committees formed is equals to 3.
What is number?
" Number is defined as the arithmetic value which represents the count of any given quantity."
According to the question,
Total number of candidates for positions = 24
Number of candidate selected for 1 committee = 7
Total possible number of committees = [tex]\frac{24}{7}[/tex]
= 3.428
≈ 3 committees (approximate)
As one committee is formed by 7 candidates , it can not be in decimals or fractions.
Hence, possible number of committees formed is equals to 3.
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2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?
Answer:
1 11/12 cups of water
12Q. Sweeti covered 2/7 of the running track by walking and rest by running and the length of the track is 630 m. Find the distance covered by running ?
Step-by-step explanation:
Given that :
Total length of the track = 630 m
Distance covered by Sweeti by walking = 2/7 of the running track
2/7 of 630 m
⇛ (2/7)×630
⇛ (2×630)/7
⇛ 1260/7
⇛ 180 m
Distance covered by walking = 180 m
Remaining distance =
Total distance - Distance covered by walking
⇛630 m - 180 m
⇛ 450 m
The total distance covered by running by Sweeti is 450 m.
Read more:
Similar Question
You can burn about 450 calories if you run 5 miles. How many miles will you need to run to burn 630 calories? Justify your reasoning.....
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P(x<=30) = 1- exp ( - 30/3600 * 90) = 1- exp (-0.75)
Answer:
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A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?
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Answer:
375 hamburgers
Step-by-step explanation:
Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...
h +(h +63) = 813
2h = 813 -63 = 750
h = 750/2 = 375
375 hamburgers were sold on Saturday.
_____
Additional comment
In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.
A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stretch the spring 8m from equilibrium? Round your answer to the nearest hundredth if necessary.
Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.
Thanks ☺️
Hope it helps you.
in the Sahara desert one day it was 136°F in the gobi desert a temperature of -50°F was recorded what is the difference between these two temperatures
Answer:
186 °F
Step-by-step explanation:
The difference is found by subtracting the smaller from the larger:
136 -(-50) = 136 +50 = 186
The difference between the two temperatures is 186 °F.
Calculate: 7×9-22+31=
Answer:
72
please mark brainlest
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
7x9=63
63-22=41
41+31= 72
Hope this helps
What determines whether a relationship
is proportional or not?
Answer:
When two ratios exhibit the same connection, they are said to be proportionate. Two ratios may be tested for proportionality by writing them as fractions and then reducing them to the smallest possible number. In this case, your ratios are proportionate since the reduced fractions are the same.
Step-by-step explanation:
Hope it helps:)
Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements
in either Set A or Set B is 75, how many elements do Sets A and B have in common?
B u A = 48
B = 45
The part of set B not included in A is B - A∩B = 45 - 7 = 38
Since B u A = 48, A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).
------
Alternatively, the inclusion-exclusion principle may be used: A + B - (A ∩ B) = A u B
A + 45 - 7 = 48
A = 48 - 45 + 7
A = 10
NOTE that I'm using A and B to indicate the number of elements in each set, respectively.
More formally, one would write |A| and |B| to indicate the cardinality (number of elements) of the set.
Consider function f.
Which graph represents function f?
A. W
B. X
C. Y
D. Z
Answer:
W
Step-by-step explanation:
I got a 100% on my test
Each element of X receives exactly one element of Y when a function from one set to the other is used. W graph illustrates the function f.
Explain about the function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).
An example of a rule is a function, which yields one output from a single input. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We would say that y is a function of x since x is the input value.
A function is a relationship between a collection of inputs and a set of potential outputs, where each input is connected to exactly one output, in accordance with a technical description.
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How many numbers are prime between 40 and 50?
Step-by-step explanation:
Correct answer:
(The primes between 40 and 50 are 41, 43, and 47 - three.
What is the slope of the line? The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. O-3 O- 3 Prism vs. Pyramid 1 10 M 9 8 3 Prism Volume (cubic units) 6 5 3 1 2 3 4 5 6 7 8 9 10 Duramid Valuma louhin rinite! Save and Exit Nect Submit Mark this and retum
Answer:
3
Step-by-step explanation:
y=3x
Write the ratio as a ratio of whole numbers using fractional notation.
45 days to 24 days
The ratio of 45 days to 24 days can be written in fractional form as
(Type the ratio as a simplified fraction.)
Answer:
15:8=15/8
Step-by-step explanation:
45:24=45/24
15/8=15:8
In a recent year, 32.4% of all registered doctors were female. If there were 47,400 female registered doctor that year, what was the total number of registered doctors?
Answer:
come, seamen or even spherm
Step-by-step explanation:
basically when the male and female get involved in sexual activity it creates a child through sperm and egg interaction. the fastest sperm wins the race and 68.6% of them are male doctors
Answer of what is QS
Check the picture below.
and let's not forget that the midsegment of a triangle is always half its parallel base.
[tex]\stackrel{midsegment}{AB}=\cfrac{\stackrel{base}{QS}}{2}\implies 16=\cfrac{QS}{2}\implies 32=QS[/tex]
The product of .010 and .001 is
Answer:
its 0.00001
I hope this helps
the following points lies in the solution set of the system of inequalities shown graphed below?
A. (1, 0)
B. (2, 2)
C. (-4, 0)
D. (2, -4)
On a map, 1 inch equal 11.7 miles. If two cities are 2.5 inches apart on the map, how far are they actually apart?
Answer:
29.25 miles
Step-by-step explanation:
We can use a ratio to solve
1 inch 2.5 inches
------------ = ----------------
11.7 miles x miles
Using cross products
1 * x = 11.7 * 2.5
x =29.25
Helpppppppppppppppppppppppppppp
Answer:
look at the photo...............determine the value of x in each triangle
Answer:
180
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees.
Which inequality is true when the value of R is 18? I'ma shower the answers i can choose in the picture
Answer:
See below:
Step-by-step explanation:
Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.
So our equations to test for are:
[tex]-r-3>-6\\-r+3<6\\r+3<6\\-r+3>6[/tex]
We can input 18 as r and then we see the following are correct:
1. No, as a -21 is not greater than -6
2. Yes, as -15 is less than 6.
3. No, as 21 is not greater than 6
4. No, as -15 is not greater than 6.
Cheers!
The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram
A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below
A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"
(look at picture to understand better)
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Answer:
B
Step-by-step explanation:
Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.
The applicable description is found in choice B.
If Noah has 527,300,000 and Margho has 106,570,000. How much do they have in all?
Can someone help me pls?
Answer:
633,870,000
Step-by-step explanation:
Add it together either on a calculator of a sheet of paper.
Find the domain of the function
Answer:
Here you go :)
Step-by-step explanation:
Alvin’s family used 18.5 gallons of gas to drive 518 miles. How many miles did they drive per gallon of gas?
Please help me
Answer:
the answer is 1.2
Step-by-step explanation:
The number of miles Alvin’s family drive per gallon of gas is 28 miles.
Given that, Alvin’s family used 18.5 gallons of gas to drive 518 miles.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of miles drive per gallon of gas = Total number of miles ÷ Total number of gallons
= 518 ÷ 18.5
= 28 miles
Hence, the number of miles Alvin’s family drive per gallon of gas is 28 miles.
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Two polygons are similar. The corresponding angles of the polygons are- A congruent B proportional C regular D similar
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Answer:
A congruent
Step-by-step explanation:
In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.
Calculations with Percent - Item 35698
Question 7
Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Complete the model.
25%
75%
Number of baskets with 12 piece of
fruit:
Number of baskets with 15 pieces of fruit:
60 fruit baskets
The number of baskets with 12 piece of fruit is 15.
The number of baskets with 15 pieces of fruit is 45.
Percentage is the fraction out of a number expressed as a number out of hundred. The sign used to represent percentages is %.
In order to determine the number of baskets that have 12 pieces of fruits and 15 pieces of fruits, multiply the given percentages by the total number of fruit baskets.
Number of baskets with 12 piece of fruit: 25% x 60 = 0.25 x 60 = 15
Number of baskets with 15 pieces of fruit: 75% x 60 = 0.75 x 60 = 45
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