A movie rental store gives free popcorn to every 40th
customer and a free movie rental to every 45th
customer. Which customer was the first to win both​ prizes?

Answers

Answer 1

Answer:

360th customer

Step-by-step explanation:

To find the customer that will receive both the free popcorn and the free movie rental, we have to list the multiples of 40 and 45 until we get a multiple that is the same for both of them.

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360

360 is the first multiple that is same for multiples of 40 and 45

So the 360th customer will receive both items.

(Sorry if my explanation is hard to understand. I haven't done this kind of math in a while)

Hope it helps (●'◡'●)


Related Questions

What is the volume of the cone to the nearest whole number?

Answers

Answer:

the volume of the cone is 60

Step-by-step explanation:

12×5=60

If an object looks the same

Answers

Answer:

I don't understand your question.............!

Step-by-step explanation:

exterior angle equation is 3p-15 interior angles are p and p+15

Answers

9514 1404 393

Answer:

  p = 30

  angles 30°, 45°; exterior: 75°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angle:

  3p -15 = p + (p +15)

  p = 30 . . . . . . . . . . . . . add 15-2p

The interior angles are 30°, 45°; the exterior angle is 75°.

If AABC IS REFLECTED across the y axis what are the coordinates of A

Answers

Answer:

A. (-1, 3)

Step-by-step explanation:

When reflecting across the y-axis: (x, y) ⇒ (-x, y).

Therefore, A(1, 3) ⇒ A'(-1, 3).

helppp plzzz right nowwwwwwww

Answers

Answer:

They are parallel so also -4/3

What is the domain of the function on the graph?

•all real numbers
•all real numbers greater than or equal to -2
•all real numbers greater than or equal to -5
•all real numbers greater than or equal to 0

Answers

Answer:

all real numbers

Step-by-step explanation:

got it right

Answer:

A

Step-by-step explanation:

it is all real numbers

brainiest please

Two cars started from a point and traveled in opposite directions; each
car has traveled some miles as shown on the number line. Find the
distance between the two cars.

Answers

Answer:

Hey, could you please add the number line to the question too

What is the value of x? Show work.

Answers

Answer:

x=5

Step-by-step explanation:

This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:

12+40=2(8x+10)

12+40=16x+20

20=4x

x=5

If f(-x) = 0, what is x?
O only
-6 only
-2,1, or 3 only
-6,-2, 1, or 3 only​

Answers

Answer:

3rd option

Step-by-step explanation:

f(x) = 0 are the points on the x- axis where the graph crosses, the zeros

The graph crosses the x- axis at - 2 , 1 and 3

Why did U.S. leaders decide to create the Federal Reserve?
A. Economic panics showed that the banking system was not stable.
B. The United States needed to have a single type of currency.
C. Small banks requested additional government oversight.
D. State banks needed the power to create their own currencies.​

Answers

Answer:

A

Step-by-step explanation:

A central bank was needed to oversee monetary policy

Answer:A

Step-by-step explanation:

I did the test

Lol do yu guys know this?? plz help

Answers

Answer: Choice C. 32,768

Explanation:

2.5 hours = 2.5*60 = 150 minutes

150/10 = 15

There are 15 periods that are 10 minutes each in a 2.5 hour timespan.

y = a*b^x

y = 1*2^15

y = 32,768

If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.


10min = double

2.5 hours went pass

2.5hrs = 150 min

Someone help me please if you don’t mind

Answers

Answer:

Multiply to -63

and add to -2

Step-by-step explanation:

I'm a genius.

Answer:

(x - 9)(x + 7)

Step-by-step explanation:

Given

x² - 2x - 63

Consider the factors of the constant term (- 63) which sum to give the coefficient of the x- term, that is

numbers that multiply to give - 63 and add to give - 2

The factors are - 9 and + 7 , since

- 9 × 7 = - 63 and - 9 + 7 = - 2 , then

x² - 2x - 63 = (x - 9)(x + 7) ← in factored form

91.55
Which equation has the solutions -
5:27
3
1?
I
3x2 - 5x + 7 = 0
03x2 - 5x – 1 = 0
3x2 - 10x + 6 = 0
O 3x2 _ 10x + 1 = 0

Answers

Answer:

the answer is 3x2-10x+6=0

he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places. (a) What is the probability that more than three aircraft arrive within an hour? Enter your answer in accordance to the item a) of the question statement (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? Enter your answer in accordance to the item b) of the question statement

Answers

Answer:

A) 0.019

B) 0.563

Step-by-step explanation:

a) We will use Poisson distribution formula to solve this;

The formula is given as;

P(X = x) = ((e^-λ) × (λˣ))/x!

Mean is 1. Thus;

λ = 1 aircraft/hour.

Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)

Thus;

P(X > 3) = 1 - P(X ≤ 3)

Thus;

1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Solving through online calculator, we have;

P(X > 3) = 1 - 0.98101

P(X > 3) = 0.01899

To 3 decimal places, we have; P(X > 3)= 0.019

b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;

P(X ≤ 3) = 1 - P(X > 3)

P(X ≤ 3) = 1 - 0.01899

P(X ≤ 3) = 0.98101

Since there are 30 one-hour intervals, then we have;

Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;

(P ≤ 3) = (0.98101)³⁰

(P ≤ 3) = 0.5626

Approximating to 3 decimal places, we have;

(P ≤ 3) = 0.563

3. Find the volume of the figure. Simplify.
Cube
x + 4

Answers

Answer:

[see below]

Step-by-step explanation:

V = s^3

V = (x+4)^3

V = x^3 + 3x^2 * 4 + 3x * 4^2 + 4^3

V = x^3 + 12x^2 + 48x + 64

Hope this helps.

2(4+2x)≥5x+5 solve inequality

Answers

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x)≥5x+5

8+4x≥5x+5

4x-5x≥5-8

-x≥-3

x 3

[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]

P and Q are points on the line 3y - 4x = 12
a Complete the coordinates of P and Q.
P(0, 1) Q(,0)

Answers

Answer:

Step-by-step explanation:

Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.

Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:

3(0) - 4x = 12 and

-4x = 12 so

x = -3

How long is JK?

Choose 1 answer:
A: 3
B: 2 square root 3
C: 3 square root 3
D: 6
E: 9

Answers

Answer:

C) 3 times the sq root of 3

Step-by-step explanation:

In a right angle triangle, the COS is definned as the ajacent side over the hypotenuse. So

COS 60 = JK/JL

COS 60 = JK/(6*sq root 3)

.5 = JK/(6*3**1/2)

JK = .5 *(6*3**1/2)

JK = 3*3**1/2

find the missing side of each triangle. i need help!!!

Answers

Answer:

√161 yd

Step-by-step explanation:

Hi there!

We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.

We need to find x, which is the other leg in the triangle

If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse

In this case, a=8, b=x, and c=15

So let's substitute those values into the formula

(8)²+x²=(15)²

raise everything to the second power

64+x²=225

subtract 64 from both sides

x²=161

take the square root of both x and 161

x=√161, x=-√161

-√161 cannot work in this case, as distance cannot be negative.

The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further

so the answer is √161 yd

Hope this helps! :)

If the quadratic formula is used to find the solution set of 3x + 4x-2 = 0, what are the solutions? ​

Answers

Answer is c
hope it helps I’m new at this

The side length of the cube is 5 cm. Find the volume of the cube.

Answers

Answer:

125 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cube Formula: V = a³

a is a side length

Step-by-step explanation:

Step 1: Define

Identify variables

a = 5 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cube Formula]:                                    V = (5 cm)³Evaluate exponents:                                                                                         V = 125 cm³

Answer:

[tex]\huge\boxed{V=125cm^3}[/tex]

Step-by-step explanation:

The formula of a volume of a cube with edge [tex]a[/tex]:

[tex]V=a^3[/tex]

We have [tex]a=5cm[/tex].

Therefore the volume is:

[tex]V=(5cm)^3=5cm\cdot5cm\cdot5cm=125cm^3[/tex]


Rab has trouble remembering the difference between addition of a positive and
negative number and multiplication of a positive and negative number. Explain how
you could clarify the concepts for him. Use an example to back up your explanation.

Answers

Addition of a positive and negative number always means that you are going to subtract the number e. g. 4+-1 = 3. However, multiplication of a positive and negative number means the answer is always negative e. g. 5 x - 3 = - 15.

The addition of positive and negative number will always subtract with sign of maximum value.

The multiplication of positive and negative number will have a negative sign always.

AdditionConcept for the addition of positive and negative number

When two numbers which have different sign are added, they will always be subtracted from each other. The sign will vary accordingly.

with negative sign: when two numbers are added such that the number with negative sign has the larger value, then both numbers will get subtracted but with negative sign.

Example: Consider two number -5 and 4

= -5 + 4

= -1

Here, 5 is the larger value. So, the sign comes is negative.

with positive sign: when two numbers are added such that the number with positive sign has the larger value, then both numbers will get subtracted but  with positive sign.

Example: consider two number 5 and -4.

= 5 + (-4)

= 1

Here, 5 is the large number. So, the sign comes is positive.

MultiplicationConcept for the multiplication of positive and negative number:

When two numbers with opposite signs are multiplied, the answer is always a negative number.

Example; Consider two numbers 4 and -5.

On multiplication,

4×(-5) = -20

Thus, the multiplication of two numbers with different signs will always give a negative number.

To know more about rational and irrational numbers, here

https://brainly.com/question/5796983

#SPJ2

plz help ASAP with explanation

Answers

Answer:

19.5 cm

Step-by-step explanation:

the remaining height = 1200 /(12×8)

= 1200/96 = 12.5 cm

so, the height of the tank = 7+ 12.5 = 19.5 cm

[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]

AD = 6, DC = 8, find DB

Answers

Answer:

10

Step-by-step explanation:

use a^2+b^2=c^2

6^2+8^2=c^2

100=c^2

sqrt it and you get 10 for AC and AC=DB

Answer:

according to Pythagoras theorem, c²=a²+b²

|AC|²=|AD|²+|DC|²

|AC|²=6²+8²

|AC|²=36+64

|AC|²=100

√|AC|²=√100

|AC|=10

Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A larger parallelogram has side lengths 15 millimeters and B. What is the length of side B in the enlarged parallelogram? 15 mm 30 mm 40 mm 50 mm

Answers

Answer:

B=30mm

Step-by-step explanation:

According to the Question,

we have,  A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.

The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.

Therefore, A/C = D/B

5/10 = 15/B

B=150/5

B=30mm

Complete the steps to solve the inequality:

0.2(x + 20) – 3 > –7 – 6.2x

Use the distributive property:
Combine like terms:
Use the addition property of inequality:
Use the subtraction property of inequality:
Use the division property of inequality:




0.2x + 4 – 3 > –7 – 6.2x

0.2x + 1 > –7 – 6.2x

6.4x + 1 > –7

6.4x > –8

Answers

Answer:

x>-1.25

Step-by-step explanation:

0.2x+4-3>-7-6.2x

0.2x+1>-7-6.2x

0.2x+6.2x>-7-1

6.4x>-8

x>-1.25

or x>-5/4,x>-1 1/4, xE(-1.25, infinite)

The solution to the inequality is x > -1.25.

The complete steps are:

the distributive property: 0.2x+4-3>-7-6.2x

Combine like terms: 0.2x+1>-7-6.2x

the addition property of inequality: 0.2x+6.2x +1 >-7 => 6.4x + 1 > –7

the subtraction property of inequality: 6.4x > -7 - 1 => 6.4x>-8

the division property of inequality: (6.4x)/6.4 > (-8)/6.4 => x>-1.25

Here, we have,

To solve the inequality 0.2(x + 20) - 3 > -7 - 6.2x,

let's go through the steps:

Step 1: Use the distributive property:

0.2x + 4 - 3 > -7 - 6.2x

Step 2: Combine like terms:

0.2x + 1 > -7 - 6.2x

Step 3: Use the addition property of inequality:

0.2x + 1 + 6.2x > -7

6.4x + 1 > -7

Step 4: Use the subtraction property of inequality:

6.4x > -7 - 1

6.4x > -8

Step 5: Use the division property of inequality:

Divide both sides of the inequality by 6.4 to isolate x:

(6.4x)/6.4 > (-8)/6.4

x > -8/6.4

Simplifying further, we have:

x > -1.25

Therefore, the solution to the inequality is x > -1.25.

To learn more on inequality click:

https://brainly.com/question/28841069

#SPJ5

-x/8-11=12
/ means fraction

Answers

Answer:

Step-by-step explanation:

-x/8=12+11=23

-x=23*8=184

x=-184

x=-184Answer:

Step-by-step explanation:

2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35

Answers


TRUST ME :



The answer above is correct !!


2.
B. Melody had $25 and withdrew $300 from his bank account. She bought a pair of trousers for $30.00, 2 shirts for
$19.00 each, and 2 pairs of shoes for $40.00 each. Give the final expression, and determine how much money Mel had
at the end of the shopping day.

Answers

Answer:

25 + 300 = 325

trousers: spent 30 (a pair of trousers = one unity of trousers)

shirts: spent 19 x 2 = 38

shoes: spent 40 x 2 = 80

80 + 38 + 30 = 148

325 - 148 = 177

She had $177,00 left.

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Micheal is selling lemonade.He sold 6 large lemonades at $3 each and 5 small lemonades at $2 each. How much money did he earn ?

Answers

Answer:

$28

Step-by-step explanation:

Answer:

6=$3

5=$2

6x3=18

5x2=10

18+10= 28

=$28

Step-by-step explanation:

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