A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give

away a free drink to every 98th customer, a free bag of popcorn to every 112th customer and

a free cinema ticket to every 224th customer. Which lucky customer will be the first to

receive all 3 items?​

Answers

Answer 1

Answer:

1,568 customer

Step-by-step explanation:

Find the lowest common multiple of 98, 112, and 224

98 = 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666

112 = 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, 1232, 1344, 1456, 1568, 1680, 1792, 1904

224 = 224, 448, 672, 896, 1120, 1344, 1568, 1792, 2016, 2240

The lowest common multiple of 98, 112, and 224 is 1568

Therefore, the 1,568th customer will be the first to receive all 3 iitem


Related Questions

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Answer:

The points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .


SOMEONE HELP ME !!!


The side length of a smaller square is one-third the side length of a larger square.ee
the following statements describes the area of the smaller square?
F The area of the smaller square is I the area of the larger square.
27
G The area of the smaller square is 172 the area of the larger square.
H The area of the smaller square is the area of the larger square.
1 The area of the smaller square is
the area of the larger square,
3
1 / 2
SOMEONE HELP ME !!!

Answers

Answer:

H

Step-by-step explanation:

lets say the first big square has side s, so the area will be

then the side of the small square is s/3, and the area is (s/3)²= s²/3² =s²/9

the area of the smaller square is 1/9 smaller than the area of the big square

Given: P (-4; 7), Q ( 3;0) and R (-1;-4).
Determine:
1.1.1
the gradient of QR​

Answers

Slope or gradient = y2-y1/x2-x1

= -4-0/-1-3 = -4/-4 = 1

So final answer is :

Y=x

(By the way don’t get confused and wonder what happened to the 1 , it is with X , cause if you put 1x or x , it’s the same thing)

solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]

Answers

Answer:

Step-by-step explanation:

Using log(x) - log(y) = log (x/y)

logx^2 - log(x+6) = 1 is equal to:

log (x^2/(x+6)) = 1

Taking inverse base 3 log on both side:

x^2/(x+6) = 3

x^2 = 3x + 18

x^2 - 3x - 18 = 0

(x-6)(x+3) = 0

x = 6 or -3

Answer:

Step-by-step explanation:

1 = base 3log3

substitute

logx^2-log(x+6) = log3

logx^2 - log(x+6) - log3 = 0

log( (x^2/(x+6))/3 ) = 0

anti-log

x^2/3(x+6) = 1

x^2 = 3(x+6)

x^2-3x-18=0

x=6 n -3

anti-log base 3 on both sides:

Which points are coplanar and non ol linear

Answers

Answer:

COPLANAR:

Point A, C and D

NON- COLLINEAR:

Point B

Step-by-step explanation:

[tex]{hope it helps[/tex]

Prove that the value of the expression: (3^5 - 3^4)(3^3 + 3^2) is divisible by 24. Answer format: The value of the expression is 24 • __

Answers

Step-by-step explanation:

(3^5 - 3^4) (3^3 + 3^2)

= (243 - 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

since 832 is divisible by 8 and 5+8+3+2 = 18 is divisible by 3

5832 is therefore divisible by 24

check:

5832/24 = 243

Isabell drove 819 miles in 13 hours. at the same rate how many miles would she drive in 7 hours

Answers

Answer:

441 miles

Step-by-step explanation:

Rate of the Car: 819/13 = 63mph

Miles Driven in 7 Hours: 63*7 = 441 miles

Answer:

441 miles

Step-by-step explanation:

* means multiply

819/13 = x/7

13 * x = 819 * 7

13x = 5733

x = 5733 ÷ 13

x = 441

help! A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each political party that does or does not support the new law.

Which conclusions can be made from this table?

Select each correct answer.


For both parties, more members do not support the law than support the law.

Compared to the Republicans, the Democrats have a larger percentage of members who support the law.

More Republicans support than the law than do not support the law.

Among Democrats, a larger percentage do not support the law than support the law.
Support Do not support
Democrat 0.32 0.68
Republican 0.44 0.56

Answers

What i can see:

It seems this law isn't particularly majorly favored in either party. In a lot of cases one party will have the majority support and one will have minority support. Although it seems to be more favored amongst democrats.

Like "insert law here" may be more favored by republicans or align more to their usual values.

Another thing is that it seems that it is controversial and a large portion either supports or doesnt support this law in both parties.

Im no master politician ofc but i am interested in politics so, yeah :)

Answer:

Among Democrats, a larger percentage do not support the law than support the law.

For both parties, more members do not support the law than support the law.

Step-by-step explanation:

just finish the test

Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.

Answers

Answer:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]

Step-by-step explanation:

Given

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]

Required

Solve

We have:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]

Collect like terms

[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]

[tex]1.3t^3 + t^2 -42t + 8[/tex]

So:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]

Answer:

look at pic

Step-by-step explanation:

write 36,438 correct to 2 significant figure
(show how you did it)​

Answers

Answer:

36,000

Step-by-step explanation:

Rounding Significant Figures Rules

Non-zero digits are always significant Zeros between non-zero digits are always significant Leading zeros are never significant Trailing zeros are only significant if the number contains a decimal point

Rounding Rules

When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.

Example: 356 rounded to 2 significant digits is 360

This calculator rounds down if the next digit is less than 5 and rounds up when the next digit is greater than or equal to 5.

In the table below 305.459 is rounded from 0 to 6 significant figures. For comparison the same number is rounded from 0 to 6 decimal places. You can see the difference between rounding for significant figures and rounding to decimal places.

A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.

Answers

Hi there!

[tex]\large\boxed{h = 8in}[/tex]

Area of a triangle:

A = 1/2(bh)

Plug in given values:

60 = 1/2(15h)

Solve for h. Multiply both sides by 2:

120 = 15h

Divide both sides by 15:

120/15 = h

h = 8 in

Answer:

8 inches

Step-by-step explanation:

1. Basics

Area of a triangle: [tex]\frac{1}{2}BH[/tex]

2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking

[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT

8 inches

Hope this helped! Please mark brainliest :)

Find the x and y intercept for the equation: − = 4

Answers

Answer:

x = (4,0)

y = (0,-4)

Step-by-step explanation:

x - y = 4

(0) - y = 4

-(-y) = -(4)

y = -4

x - (0) = 4

x = 4

x = (4,0)

y = (0,-4)

Answer:

x = 4 . 0

y = 0 . -4)

Step-by-step explanation:

What is the product?

Answers

21x^7y^11 ur welcome cuh

If A = {1, 2, 3} the number of non-empty proper subsets are ​

Answers

Answer:

The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.

Points R, L, and S are

A. non-collinear and non-coplanar
B. coplanar and collinear
C. non-collinear and coplanar
D. collinear and collinear

Answers

Answer:

C. non collinear and coplanar

Option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

What is coplanar?

A set of points in space are co planar, if there exists a geometric plane that contains them all.

What is non-collinear?

Non-collinear points are points that do not lie on one straight line. The points are not collinear, when they are joined with each other, they form a triangle, which is a three-sided polygon.

For the given situation,

The diagram shows the plane M and the triangle.

In the diagram, all the points are lie on the same plane but the points are not lie on the same line.

Three points are always co planar, and if the points are distinct and non-collinear, the plane they determine is unique.

Hence we can conclude that option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

Learn more about co planar and non-collinear here

https://brainly.com/question/24250339

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What is the equation of the line written in general form? I need the answer ASAP

Answers

Answer:

The answer is 3x-y-2=0

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-1}{2-1}[/tex] = 3

The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = 3x - 2 ← in slope- intercept form

subtract y from both sides

0 = 3x - y - 2 , that is

3x - y - 2 = 0 ← in general form

how do i answer this?​

Answers

Step-by-step explanation:

here is the answer. Hope that helps.

SOMEONE PLEASE HELP!!

Answers

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18

Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right

Answers

Since the shape won’t change. It won’t deform, nothing will happen to the interior angle.

So the interior angle would still be 135

Type the correct answer in the box. Use numerals instead of words.
Consider this expression.

Answers

Hello!

|m² - 7| + n² =

= |-2² - 7| + 5² =

= |-4 - 7| + 5² =

= |-11| + 5² =

= 11 + 5² =

= 11 + 25 =

= 36

Good luck! :)

Answer:

28

Step-by-step explanation:

After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase

Answers

Answer:

2720

Step-by-step explanation:

Given that,

Price of the ticket = 2828.80

To find,

The price before the increase = ?

Procedure:

Let the price before the increase be x

so,

x(100% + 4%) = 2828.80

⇒ 1.04x = 2828.80

⇒ x = 2828.80 ÷ 1.04

∵ x = 2720

Thus, the price before the increase was 2720.

Which statement about a right triangle is true?

A: The length of each leg equals 1/2 of the hypotenuse.

B: The square of the hypotenuse is equal to the sum of the squares of the legs.

C: One leg is always longer than the hypotenuse.

D: A right triangle can have only one obtuse angle.

Answers

Answer:

the square of hypotenuse rs eqaul to the sum of the square of the legs

Se conoce que 6 jarras cuestan lo mismo que 5 cubiertos y que 3 cubiertos cuestan S/. 7.20, ¿Cuánto costarán 7 jarras? (2 PUNTOS)

Answers

Answer:

7 jarras costarán 14 $

Step-by-step explanation:

Si 3 cubiertos cuestan  7.20 $

1 cubierto cuesta     7.20/3  =  2.40 $

y 5 cubiertos cuestan    5* 2.40   =  12 $

que también cuestan 6 jarras  =  12 $

Luego 1 jarra cuesta  12/6  =  2  $

Por lo que 7 jarras costarán:  7 * 2  =  14 $

Find the TWO integers whos product is -12 and whose sum is 1

Answers

Answer: -3, 4

Step-by-step explanation:

Integer #1 = xInteger #2 = y

x · y = -12

x + y = 1 ⇒ y = 1 - x

Bring the y-value(1 - x) into x · y = -12:

[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]

Bring the x-values into y = 1 - x and see if the values multiply to -12:

x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12

x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12

which expression is equivalent to

Answers

Answer:

B.

Step-by-step explanation:

(working backwards to explain)

[tex]\sqrt{5g^5h^2} \\\\\\h\sqrt{5g^5}\\\\\\g^2h\sqrt{5g}[/tex]

Toby's little brother used his set of wooden blocks to build a giant tower. He stacked up 30 blocks to make a tower that was 64 inches tall.
How tall is each block?
Write your answer as a proper fraction or mixed number.

Answers

Solution to the question:

Number of blocks stacked: 30

Height of tower: 64 inches

Height of each block: ?

To find the height of each block, we divide the total height of the tower with the number of blocks stacked

Therefore,

Height of each block: 64/30 = 2.13 inches

So, the height of each block is 2.13 inches.

John had $20. He earned $5, spent $10, earned $5 again, and then spent $3. After this series of earings and expenses, how much money did he owe or have left?​

Answers

He has 17 dollars left

Answer:

It might be $17 for how much he has left.

Step-by-step explanation:

$20+$5-$10+5-$3=$17

Someone please help me ASAP

Answers

Step-by-step explanation:

a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image

If the volume of a given cube is 729 cubic inches, what is the surface area of the
cube?
486 sq.inches
230 sq.inches
120 sq.inches
222 sq.inches

Answers

Answer:

SA = 486

Step-by-step explanation:

Its a cube. s = side length

V = [tex]s^{3}[/tex]

729 = [tex]s^{3}[/tex]

take cube root of each side : [tex]\sqrt[3]{729}[/tex] = 9

so,  s = 9

Surface Area of a cube

SA = 6[tex]s^{2}[/tex]

SA = 6([tex]9^{2}[/tex])

SA = 6(81)

SA = 486

The surface area of the cube is 486 square inches. The correct option is A.

To find the surface area of a cube, we need to use the formula:

Surface Area = 6 x (side length)²

Given that the volume of the cube is 729 cubic inches, we can determine the side length of the cube using the formula for volume:

Volume = (side length)³

729 = (side length)³

Taking the cube root of both sides:

side length = ∛(729) = 9 inches

Now, we can substitute the side length into the surface area formula:

Surface Area = 6 x (9 inches)² = 6 x 81 = 486 square inches

Therefore, the surface area of the cube is 486 square inches.

To know more about the surface area of a cube follow

https://brainly.in/question/35343178

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What is the domain and range?

Answers

Answer:

15

Step-by-step explanation:

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