Mathematics College

At the city museum, child admission is $5.60 and adult admission is $9.30. On Sunday, 141 tickets were sold for a total sales of 974.60. How many child tickets were sold that day?

Answers

Answer 1

x = child tickets

y = adult tickets

x + y = 141

5.60x + 9.30y = 974.60

y = 141 - x

5.60x + 9.30 ( 141 - x ) = 974.60

5.60x + 1311.3 - 9.30x = 974.60

-3.70x + 1311.3 = 974.60

-3.70x = 974.60 - 1311.3

-3.70x = -336.7

x = 91

91 child tickets were sold that day

Answer 2
Let child ticket be x.
Let adult ticket be y.

x+y=141 (1)
5.6x+9.3y=974.6 (2)

From (1),
5.6x+5.6y=789.6 (3)

(2)-(3)
3.7y=185
y=50

Sub y=50 into (1)
x+y=141
x=91

Therefore x=91 and y=50.
Hence 91 child tickets was sold that day.

Hope it helps : )

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Answers

What are we supposed to do

Michael and Imani go out to eat for lunch.

Part A: If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?

Part B: If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total?

Answers

Answer:

Step-by-step explanation:

part=A

So, we must find out what the total bill cost is such that we begin by multiplying the price with the tax such that  $25.30(0.08) = $2.024.

Then we add the tax to the price such that

$25.30+2.024 = $27.32

In the case of adding an 18% tip,

So continuing on from the above post, $27.32 is the total after taxes. Then we add an 18% tip which is  

$27.32 (.18) = $4.92..........Then, we add it to the $27.32 to get  

$27.32 + $4.92 = $32.24 in total!

The Valley Middle School library just added 250 books to the shelves. Of those books, 40% are fiction. How many of the new books are fiction?

Answers

Answer:

100

20 = 50

50 x2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

250 books × 40%

= 100

other way to solve it is

250 × 0.40

= 100 fiction books

Someone help me, please:)

Answers

Answer:

12

Step-by-step explanation:

This is the correct answer:)

Would the mass of a mouse more likely be 150 gram or 150 kilograms

Answers

Answer:

150g most likely

Step-by-step explanation:

kg are a thousand times more than a gram

x/(x-2)*(x+2)*(x-1) into partial fraction
​no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?

Answers

Answer:

((-1 + x) (2 + x) X)/(-2 + x)

Step-by-step explanation:

1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)

2 (x(x+1)-2)x)/(x-2)

3 (x(xx+x)-2x)/(x-2)

4(x^(2)x+xx-2x)/(x-2)

5 (-2 + x + x^2) X)/(-2 + x)

Root

X = 0 , X-2=0

Roots

X=-2

X=1

A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When set properly, the machine pro-duces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.

Answers

Answer:

Step-by-step explanation:

From the given information;

The null hypothesis & alternative hypothesis:

[tex]\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}[/tex]

[tex]Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}[/tex]

[tex]Z =2.11[/tex]

The p-value = 2(Z > 2.11)  since this is a two-tailed test

The p-value = 2( 1 - Z < 2.11)

The p-value = 2 (1 -0.9826)

The p-value = 2 (0.0174)

The p-value = 0.0348

Decision Rule: To reject the [tex]\mathbf{H_o}[/tex]  if the p-value is less than [tex]\mathbf{H_o}[/tex]

Conclusion: We fail to reject [tex]\mathbf{H_o}[/tex] and conclude that the population mean = 2, thus the machine is properly adjusted.

22×(4.5×4.5×4.5+9)=

what is the answer? ​

Answers

2202.75 is the answer

Answer:

2202.75

Step-by-step explanation:

calculator

nmqlwmqlqmwmwmmwmqmmqm​

Answers

Answer:

nmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqm

SOEMOENN HELP ME PLEASE WITH A MATH PROBLME If x is 6, what is:
7- X

Answers

Answer:

1

Step-by-step explanation:

7-6=1

Answer:

1

Step-by-step explanation:

7-x

x=6

7-6=1

Directions: Find the missing term in each pair of equivalent ratios.
1. 3:4 = 21:n
2. 1:5 = n : 40
3. 2 : n = 8 : 12
4. n = 2
42 7

5. 4 = 20
9 n

Answers

Step-by-step explanation:

1 multiplied by 7

3;4=21:28

2) multiplied by 8

1:5= 8:40

3)divided by 4

2:3= 8:12

4) multiplied by 6

12/42= 2/7

5) multiplied by 5

4/9= 20/45

Translate this sentence into an equation.

64 is the product of Goran’s height and 4

Use the variable g to represent Goran’s Height

Answers

Answer:

g×4=64

product means multiply

so that would mean Gorans height times 4 and that would all equal 64

hope this helped

Solve the Antiderivative.​

Answers

1
∫ -------------------- dx
x² + 6x + 10


1
∫ -------------------- dx
(x+3)² + 1

Let t = x + 3
dt = dx

1
∫ -------------------- dt
t²+1

1/1 arctan(t/1)

1/1 arctan (x+3 / 1)


=arctan(x+3) + C

write 7^3 × √ 7 as a single power of 7​

Answers

Step-by-step explanation:

7^3 × 7^(1÷2)

= 7^(3+ 0.5)

=7^3.5 ans

find the value of x and round

Answers

Answer:

X=80.4

Step-by-step explanation:

Lol

Step-by-step explanation:

x= 78 approximately

hope this is correct

if the measure of angle a is 109, what is the measure of angle b

Answers

Answer:

71

Step-by-step explanation:

Those are supplementary angles meaning they add up to 180 degrees

180 - 109 = 71

That would make b 71 degrees

Answer:

71 degrees !!

Step-by-step explanation:

Since the angles A and B both are next to each other, they form a linear pair. Since they are a linear pair, they both add up to 180 degrees (same as a straight angle!) So, if A is 109, you would simply subtract that from 180, and you'd get 71 !!

180-109= 71 !!

I hope this helps... have a great day !

Plssssssssss help because i need to go to basketball practice

Answers

Answer:

The answer is a= 5

Step-by-step explanation:

hope this helps

Answer: a=5

Step-by-step explanation: 3(5)=15

go back to practice :)

A Ferris wheel has a radius of 48 feet. What is the distance a passenger will travel one time around the Ferris wheel?
96.0 feet
150.8 feet
301.6 feet
603.2 feet
HURRY PLEASEE
✿✿✿✿✿✿

Answers

96 ft
Radius is only half so just times 2 and get 96
301.6 (C= 2 • r • 3.14)

Write an equation that shows the relationship 40% of 140 is x

Answers

Answer:

x=140times0.4

Step-by-step explanation:

then subtract your anser from 140

Find the simplified form of the expression. Give your answer in scientific notation.
(4 * 10^10)(9x10^-5)

Answers

Step-by-step explanation:

Given

(4*10^10)(9*10^-5)

= 36 * 10^10 - 5

= 36 * 10^5

= 3.6 * 10^6

Hope it will help :)

The regular price of an item at a store is $2,000. If the sale price is $1,120, what percent is the discount?

Answers

Answer:

$3,120

Step-by-step explanation:

$2,000

+$1,120

---------------

    $3,120

Hence, the percent is the discount is $ [tex]3120[/tex].

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

The regular price of an item at a store is $[tex]2,000[/tex]. If the sale price is $[tex]1,120[/tex].

So,

[tex]2,000+1120=3120[/tex] $

Hence, the percent is the discount is $ [tex]3120[/tex].

To know more about the percentage

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Evaluate the expression when x-=12.5 and y=6 12x-3y^2

Answers

Answer:

Step-by-step explanation:

Expresión x--12.5*y-612*x-3*y-2 = 9.5*y-611.0*x-2.0

At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.

Answers

Answer:

3.75

Step-by-step explanation:

A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?

Answers

Answer:

d = 5√2 units

Step-by-step explanation:

Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the values with your endpoints.

d = √[(-6 - (-7))² + (4 - 11)²]

Solve within the parentheses.

d = √[(1)² + (-7)²]

Solve the exponents.

d = √[1 + 49]

Solve within the brackets.

d = √50

Simplify the square root.

25 • 2 = 50

√25 • √2 = √50

5 • √2 = √50

d = 5√2 units

Hope this helps!

Find the value of x. I WILL GIVE 100 POINTS ANSWER QUICK!

Answers

Answer:0.714 not sure exactly  if i need to simplify, mullitiply,  or divide.

Step-by-step explanation:

the answer is 0.714 ! hope this helped clarify

Find three points on the parabola.
x^2−6x−4y+5=0

Answers

Answer:

(0,1.25), (1,0), (-1,3)

Step-by-step explanation:

What is the solution to x+4y=-1 and 2x + 5y=10??????

Answers

And they were roommates
x=12
y=-4
Wanna talk??
Sorry I had the answer on two pages,; can’t post more than one photo

PLEASE HELP!
4x + 2y = 6
-2x + 2y = 18
There combined answer please!
SHOW YA WORK

Answers

your answer, in your set notation, is
{-2, 7}

Determine if the following function is even, odd or neither.
f(x) = 4x2 – 8x + 5

Answers

9514 1404 393

Answer:

  neither

Step-by-step explanation:

A polynomial consisting of even-degree terms only is even.

A polynomial consisting of odd-degree terms only is odd.

The given f(x) polynomial has both even- and odd-degree terms, so is neither.

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 13)(0,13) and (3, 832)(3,832).

Answers

Answer: Down Below

Step-by-step explanation: y=ab%5Ex

that goes through points (0, 10) and (2, 490)

y=ab%5Ex.......plug in (0, 10)

10=ab%5E0

10=a%2A1

a=10

so far

y=10b%5Ex......plug in (2, 490)

490=10b%5E2

b%5E2=490%2F10

b%5E2=49

b=sqrt%2849%29

b=7

your function is:+y=10%2A7%5Ex

A function assigns the values. The exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the exponential eqation is y=abˣ, substitute any one of the point in equation we will get,

13 = ab⁰

13 = a ₓ 1

a = 13

Therefore, the function can be written as y=13bˣ.

Substitute other point in the equation,

832 = 13 (b³)

b³ = 832/13

b³ = 64

b = 4

Hence, the exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.

Learn more about Function:

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