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3 years ago

Will give brainliest

Mathematics

1 answer:

VikaD [51]3 years ago

8 0

Answer: The number of the adult tickets is 168

Step-by-step explanation: * Lets explain how to solve the problem

- The adults ticket costs $10.50

- The students ticket costs $3.75

- The total money of the opening night is $2071.50

- The equation of the total money earned in the opening night is:

10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket

and b is the number of the student ticket

- There were 82 students attended

* Lets solve the problem

∵ 10.50 a + 3.75 b = 2071.50

∵ The number of the students attended is 82

∵ b is the number of the students

∴ b = 82

- Substitute the value of b in the equation

∴ 10.50 a + 3.75(82) = 2071.50

∴ 10.50 a + 307.5 = 2071.50

- Subtract 307.5 from both sides

∴ 10.50 a = 1764

- Divide both sides by 10.50

∴ a = 168

∵ a is the number of the adult tickets

∴ The number of the adult tickets is 168

Give credit to ashraf 82

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What is the solution set for the inequality 4−5g > 39 Question 3 options: g < −7 g>7 g<7 g > −7.

neonofarm [45]

Answer:

g < -7

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

*Note:

When dividing or multiplying both sides of the inequality by a negative, flip the inequality sign.

Step 1: Define

Identify.

4 - 5g > 39

Step 2: Solve for g

[Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35
[Division Property of Equality] Divide -5 on both sides: g < -7

∴ any number g less than -7 would work as a solution to the inequality.

---

Topic: Algebra I

Unit: Inequalities

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3 years ago

A survey of 391 children given at a local elementary school showed that 150 like chocolate ice cream, 225 like pistachio ice cre

uysha [10]

Answer:

275

Step-by-step explanation:

Given that a survey of 391 children given at a local elementary school showed that 150 like chocolate ice cream, 225 like pistachio ice cream, and 116 do not like chocolate or pistachio ice cream.

Total = 391

cholocate ice cream =150

pistchio ice cream = 225

Neither -=116

If we partition universal set into disjoint sets exhaustive

we have A-B, B-A, AB, and (AUB)'

Total = 391

Let n(AB) i.e. likes both be x

Then we have n(A-B) = 150-x and n(B-A) = 225-x

Totalling

$150-x+225-x+x+116 =391\\491-x =391\\x =100$

no of children who like atleast one kind of ice cream = n(U)-n(AUB)"

= 391-116

= 275

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3 years ago

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Please help me solve this !!!!

Anika [276]

Answer:

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3 years ago

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This list shows the lengths in feet of the 25 longest bridges in the United States.

Paladinen [302]

The length of the intervals of the given frequency table is

500 ft.

The given list shows the lengths in feet of the 25 longest bridges in the United States.

we have to determine the median and mode of the bridge data.

The median is the middle number of the data set arranged in ascending order.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260.

The median is 1750.

Mode is the number that appears most often in the data set.

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The mode is 1600.

Therefore the correct option is Median: 1750, Mode: 1600

So the length of the intervals of the given frequency table is

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2 years ago

Write the equation of the line that passes through the points (1,4) and (5,8) in standard form.

anygoal [31]

1) we find the slope of this line:
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In this case, we have the points (1,4) and (5,8) and the slope will be:
m=(8-4)/(5-1)=4/4=1

2)Point-slope form of a line:
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y-y₀=m(x-x₀)

we can chooso either point of this line (1,4) or (5,8) the end result will be the same.
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if we choose the point (5,8)
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3 years ago

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