What is the least common mutliple of 10 and 12?

Answer:

Beck actually caught 45 fish

Step-by-step explanation:

System of Equations

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

Answer:

Beck caught 45 fish

Step-by-step explanation:

a = number of fish Ally caught

b = number of fish Beck caught

They caught a total of 75 fish, so we have:

b + a = 75  

From the facts in our question we know Ally would have caught 75 fewer fish than Beck.

3b = 2a + 75  

a = 75 - b

3b = 2(75 - b) + 75

3b = 150 - 2b + 75

5b = 225

5b ÷ 5 = 225 ÷ 5

b = 45

Beck caught 45 fish.

Answer:

The answer is 50.2cm²

Step-by-step explanation:

Area of the whole circle (the whole shape)

A= πr²

A= 3.14 x (5cm)²

A= 3.14 x 25cm

A= 78.5cm²

Area of the part in the middle (non-shaded part)

A= πr²

A= 3.14 x (3cm)²

A= 3.14 x 9cm

A= 28.26cm²

78.5cm² - 28.26cm² = 50.24cm²

Answer rounded to the nearest tenth: 50.2cm²

Hope this helps :)

Answer:

the last one

Step-by-step explanation:

the input cannot be negative

Answer:

linear and increasing

Step-by-step explanation:

uwu

Andrew has 17 dollars left for gift c

Answer:

D

Step-by-step explanation:

For an expansion (ax+b)^c the row that will help you is the c'th one

He is using the c'th row so look for something in the form (ax+b)^15

Only one that fits is D

Answer:

[tex]600, 900, 1350[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] -- initial subscribers

[tex]b = 1.5[/tex] -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

[tex]y = ab^x[/tex]

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

[tex]y = ab^x[/tex]

[tex]y = 400 * 1.5^1[/tex]

[tex]y = 400 * 1.5[/tex]

[tex]y = 600[/tex]

when x = 2

[tex]y = 400 * 1.5^2[/tex]

[tex]y = 400 * 2.25[/tex]

[tex]y = 900[/tex]

when x= 3

[tex]y = 400 * 1.5^3[/tex]

[tex]y = 400 * 3.375[/tex]

[tex]y = 1350[/tex]

So, the next three number of subscribers is:

[tex]600, 900, 1350[/tex]

Answer:

Step-by-step explanation:

A806.5

Answer:

806.5 answer  

Step-by-step explanation:

Answer:

70-14=56     168-56=112

Step-by-step explanation:

Answer:

[tex]c = 14.9cm[/tex]

Step-by-step explanation:

Given

[tex]b = 10cm[/tex]

[tex]B = 12^{\circ}[/tex]

[tex]A = 150^{\circ}[/tex]

Required

Determine the length of c

First, we calculate C (the third angle of the triangle).

[tex]C = 180 - A - B[/tex]

[tex]C = 180 - 150 - 12[/tex]

[tex]C = 18^{\circ}[/tex]

Using Sine's law, we make use of:

[tex]\frac{sin\ B}{b} = \frac{sin C}{c}[/tex]

By substituting values, we have:

[tex]\frac{sin\ 12}{10} = \frac{sin 18}{c}[/tex]

Cross multiply

[tex]c* sin\ 12 = 10 * sin\ 18[/tex]

Make c the subject

[tex]c = \frac{10 * sin\ 18}{sin\ 12}[/tex]

[tex]c = \frac{10 * 0.3090}{0.2079}[/tex]

[tex]c = 14.9cm[/tex] approximated

Answer:

m(arc CD) = 14.1 cm

Step-by-step explanation:

Measure of an arc of the circle = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here 'r' = radius of the circle

θ = Angle subtended by the arc at the center of the circle

From triangle OED,

sin(∠EOD) = [tex]\frac{ED}{OD}[/tex]

sin(∠EOD) = [tex]\frac{\frac{12.7}{2}}{9.06}[/tex]

                 = [tex]\frac{6.35}{9.06}[/tex]

                 = 0.7

m∠EOD = 44.498

              ≈ 44.5°

Angle subtended by the arc CD at the center = m∠COD

                                                                            = 2(44.5)

                                                                            = 89°

m(arc CD) = [tex]\frac{89}{360}(2\pi)(9.06)[/tex]

                 = 14.07

                 ≈ 14.1 cm

Answer:

d=6

Step-by-step explanation:

d+7=13

  -7  -7

-----------

d=6

Answer:

hi

Step-by-step explanation:

[tex]d + 7 = 13 \\ d = 13 - 7 \\ d = 6[/tex]

have a nice day bye

Answer:

The percent decrease was of 32%.

Step-by-step explanation:

The percent decrease is the decrease multiplied by 100, and divided by the initial value.

Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month.

So a decrease of 83.75 - 56.95 = $26.80

Percent decrease:

26.80*100/83.75 = 32%

The percent decrease was of 32%.

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]

Now,

The Total number of ways in which Remaining cards are distributed = [tex]\frac{40!}{10! 10! 10! 10!}[/tex]

So,

Total number of ways of getting 3 picture card and remaining card = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]× [tex]\frac{40!}{10! 10! 10! 10!}[/tex]

= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = [tex]\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }[/tex]

∴ The probability = [tex]\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}[/tex]

                            = [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13!)^{4} }{ 52! }[/tex]

                           = [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }[/tex]

                           = [tex]\frac{12!}{(3!)^{4} }[/tex]×[tex]\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]

                           = [tex]\frac{479,001,600}{(6)^{4} }[/tex]×[tex]\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

9514 1404 393

Answer:

  1.0 N

Step-by-step explanation:

When the length increases by the factor 120/80 = 3/2, the force required is multiplied by the inverse of this: 2/3.

The required force is ...

  (2/3)(1.5 N) = 1.0 N

Step-by-step explanation:

step 1. 2x + 50 and 7x are vertical angles

step 2. vertical angles are equal

step 3. 2x + 50 = 7x

step 4. 5x = 50, x= 10

step 5. <AEB = 2x + 50 = 2(10) + 50 = 70.

Answer:

19) Domain: - ∞ < x < ∞                    20) Domain:  - ∞ < x < ∞

Range: - ∞ < y < ∞                                  Range: - ∞ < y < ∞

Increases throughout                            Decreases throughout

Step-by-step explanation:

Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Increases throughout

______________________________

For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Decreases throughout

Answer:

x = 3

Step-by-step explanation:

Using the triangle similarity theorem

x/x+3 = x+3/12

Cross multiply

12x = (x+3)(x+3)

12x = x²+3x+3x+9

12x =  x²+6x+9

x²+6x+9-12x = 0

x²-6x+9 = 0

Factorize

x²-3x-3x+9 = 0

x(x-3)-3(x-3) = 0

x - 3 = 0

x = 3 twice

Hence the value of x is 3

Answer:

-1x+4

Step-by-step explanation:

-1/2 times 2x equals -1x. -1/2 times -8 equals 4.

Answer:

75 ft

Step-by-step explanation:

Let 20/50 = 30/x

So,

20X = 30x50

20x = 1500

X = 1500/20

X = 75

#HopeItHelps

Answer:

x = 75 ft

Step-by-step explanation:

20/50 = 30/x

20 . x = 50 . 30

20x = 1,500

x = 1,500/20

x = 75 ft

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.

According to the given data

The total number of students in Gina's after-school program is 15 students.

Now,

The number of students who have 4 or more siblings is = 3+1 = 4

Learn more about dot plot here:

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Answer:

The answer is A

Step-by-step explanation:

Do on the first row, you see 1 tab of 5's

then on the left, you see 1 tab of 3's

So the answer is A!!!

Answer:

y = 0.8x

Step-by-step explanation:

y = x-0.2x

y=x(1-0.2)

y=x(0.8)

hence y = 0.8x

53 sec hope this helps and meybe you could give me a brainlist?

Step-by-step explanation:

Answer:

8 Seconds

Step-by-step explanation:

0= -16t^2 + 1024

1024=16t^2

64=t^2

8= t

Answer:

A≈4536.46

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

Answer:

Radius 19

A ≈ 4536.46 .....ans

Each of these limits correspond to the derivative of some function f(x) at a point x = a.

Recall the limit definition of a function f(x) :

f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h

Then if x = a, we get

f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h

From here, it's easy to identify what each function and point should be:

(a) f (a + h) = (1 + h)¹ʹ³   →   f(x) = x ¹ʹ³ and a = 1

(that's a 1/3 in the exponent)

(b) f (a + h) = cos(π + h)   →   f(x) = cos(x) and a = π

(c) f (a + h) = 5 (4 + h)⁵   →   f(x) = 5x ⁵ and a = 4

(d) f (a + h) = exp(4h) = exp(4 (0 + h))   →   f(x) = exp(4x) and a = 0

(where exp(x) = eˣ )

The volume of the rectangular prism is V = 936 cm³

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

To find the volume of the figure, we need to calculate the volumes of the two rectangular prisms separately and then add them together.

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

For the first prism:

Length = 12 centimeters

Width = 9 centimeters

Height = 2 centimeters

Volume of first prism = 12 cm x 9 cm x 2 cm = 216 centimeters³

For the second prism:

Length = 10 centimeters

Width = 9 centimeters

Height = 8 centimeters

Volume of second prism = 10 cm x 9 cm x 8 cm = 720 centimeters³

Now, we add the volumes of the two prisms together to get the total volume of the figure:

216 cubic centimeters + 720 cubic centimeters = 936 centimeters³

Hence , the rectangular prism has volume of 936 cm³

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Answer:

draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.

from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points

Answer:

A pythagorean triplet is a set of three numbers  which satisfies the pythagoreus theorum - ( a^2+b^2=c^2).

Example:

3, 4 and 5

3^2 + 4^2 = 5^2

9+ 16 = 25

I hope am right!