To make a model volcano that actually erupts, Tomo mixes chemicals using the recipe
shown.
He makes three batches of fake lava, each containing a different amount.

Drag numbers to show how much of each ingredient Tomo should use in each batch of
fake lava.

1/2 of the mix is baking soda

2/5 of the mix is vinegar

1/10 of the mix is dish soap

Answer: -5/3

Step-by-step explanation:

12(b + 2) + 3b = -1

12b + 24 + 3b = -1

15b + 24 = -1

15b = -1-24

b = -25/15 = -5/3

The solution to the equation 12(b+2) + 3b = -1 is b = -5/3.

Given the equation in the question:

12( b + 2 ) + 3b = -1

To solve the equation 12( b + 2 ) + 3b = -1, first apply the distributive property.

Distribute the 12 across the terms inside the parentheses:

12( b + 2 ) + 3b = -1

12×b + 12×2 + 3b = -1

Simplifying, we get:

12b + 24 + 3b = -1

Collect and combine the like terms on the left side of the equation:

12b + 3b + 24 = -1

15b + 24 = -1

Subtract 24 from both sides of the equation:

15b + 24 - 24 = -1 - 24

15b = -1 - 24

15b = -25

Divide both sides by 15:

b = -25/15

Simplify

b = -5/3

Therefore, the value of b is -5/3.

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Answer:

71

Step-by-step explanation:

You subtract both numbers.

Answer:

71 miles longer

Step-by-step explanation:

Subtract 275 from 346

Steps to solve:

[tex]\frac{3x}{x^2+5x-14} -\frac{6}{x^2+5x-14}[/tex]

~Apply rule [ a/c ± b/c = a±b/c ]

[tex]\frac{3x-6}{x^2+5x-14}[/tex]

~Factor out [ 3 ]

[tex]\frac{3(x-2)}{x^2+5x-14}[/tex]

~Factor out [ x^2 + 5x - 14 ]

[tex]\frac{3(x-2)}{(x-2)(x+7)}[/tex]

~Cancel common factor [ x - 2 ]

[tex]\frac{3}{x+7}[/tex]

The answers are Options 1, 2, and 3

Best of Luck!

Answer:

1,3,4

Step-by-step explanation:

Answer:

1 3 4 on edge 2022-2023

Step-by-step explanation:

hoped this helped

have a good day

Answer:

11.3

Step-by-step explanation:

i used the theorem of Pythagoras

Answer:

11.3

Step-by-step explanation:

In a right angled triangle:  the square of the hypotenuse is equal to

the sum of the squares of the other two sides.

[tex]8^{2} + 8^{2} = x^{2}[/tex] (x is the hypotenuse)

64 + 64 = [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 128

=> x = [tex]\sqrt{128}[/tex] = 11.3137085 = 11.3

Answer:

0 & 1.

Step-by-step explanation:

√2 = 1.41421356237

Answer:

The twentieth term is 50.

Step-by-step explanation:

The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:

a1 = 3*1 - 10

a1 = -7

Therefore to find the twentieth term we need to make n equal to 20. This is done below:

a20 = 3*20 - 10

a20 = 60 - 10

a20 = 50

The twentieth term is 50.

Answer:

4/45

Step-by-step explanation:

the answe ris 45

Answer:

6 and 3/4

Step-by-step explanation:

add all of the ones before 2 1/2

Answer:

c.

Step-by-step explanation:

10.98/2=5.49

16.19/3=5.40

21.15/4=5.29

26.85/5=5.37

Answer:

I think this is what you want:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

399,876

Step-by-step explanation:

So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.

Answer:

Step-by-step explanation:

I'm going to assume you meant to put numbers in the question, but I will answer in terms of x, y, and z, for length, width, and depth, respectively.

1. You need to pain 4 walls as well as the floor, so 5 surfaces total.

2. This question is asking for the surface area of the pool. There is 1 floor, 2 long walls and 2 wide walls.

         Surface Area = 2 (wide) + 2 (long) + 1 (floor)

                                = 2(x*z) + 2(y*z) + 1(x*y)

         *remember to answer in meters squared*

3. Total Cost = (surface area) * (cost per square meter)

         *remember this is in dollars*

4. This question is asking about the volume of the pool:

         Volume = x*y*z

Answer:

attached

Step-by-step explanation:

The required graph has been attached below which represents the given exponential function f(x) = 3(2/3)ˣ.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The exponential function is given in the question, as follows:

f(x) = 3(2/3)ˣ

As per the given function, the y-intercept is (0, 3) which is shown in the attached figure.

Hence, the required graph has been attached below which represents the given exponential function.

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Answer:

The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function (c) has a domain of x ≥ 3.  (Your " >3" does not match the problem statement.)

Justification:  for x ≥ 3, the quantity under the radical sign is ≥ 0, as it must be.

Answer:

red = 3/13

yellow = 6/13

blue= 4/13

Step-by-step explanation:

breainliest really needed!!

The probability of selecting the red marble and yellow marble is 18/169.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a bag contains 3 red, 4 blue, and 6 yellow marbles.

Total number of outcomes = 3+4+6=13

Probability of selecting red marble = 3/13

Probability of selecting yellow marble = 6/13

So, P(red and yellow) = 3/13 × 6/13

= 18/169

Therefore, the probability of selecting the red marble and yellow marble is 18/169.

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Answer:

Step-by-step explanation:

1 in=2 ft

Bedroom 1

scale

17.5 in ×12.5in

actual

(17.5×2)×(12.5×2)

or

35 ft×25 ft

Living Room

scale

17.5 in×17.5 in

actual

35 ft×35 ft

Bathroom 1

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Kitchen

scale

17.5 in ×12.5 in

actual

35 ft×35 ft

Bedroom2

scale

12.5 in ×12.5 in

actual

25 ft×25 ft

Entryway

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Bathroom 2

scale

12.5 in×5 in

actual

25 ft×10 ft

Answer:b

Step-by-step explanation:

Because b makes the most sense

Answer: D

Step-by-step explanation: II isn't it because the X-axis is the horizontal number line. III isn't it because the ordered pair is (x, y)

Hope this helps! :) Can you mark me brainliest?

Answer:

[tex]586.13\,\,m^3[/tex]

Step-by-step explanation:

Given: Figure

To find: Volume of the figure

Solution:

The given figure is composed of two shapes:cylinder and hemisphere

Radius of cylinder = 4 m

Height of cylinder = 9 m

Volume of cylinder = [tex]\pi (radius)^2height=\pi (4)^2(9)=3.14(16)(9)=452.16\,\,m^3[/tex]

Volume of hemisphere = [tex]\frac{2}{3}\pi (radius)^3=\frac{2}{3}(3.14)(4)^3= \frac{2}{3}(3.14)(64)=133.9733\,\,m^3[/tex]

So,

total volume of the figure = Volume of cylinder + Volume of hemisphere = 452.16 + 133.97 =586.1333 [tex]m^3[/tex]

If 586.1333 is rounded to the nearest hundredth, it becomes 586.13  [tex]m^3[/tex]

Answer:

586.13 is the answer

Step-by-step explanation:

Answer:

24 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is

A = 0.5 × 6 × 8 = 24 cm²

c is the lowest range

a has the highest y incerpt

d is the best value

Answer:

-24

Step-by-step explanation:

Answer:

b. 1/5

Step-by-step explanation:

10/50 = 1/5

Answer:

I don't understand.......

Answer: One large pizza with a radius of 12 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the area of each option.

Area of a circle: π r^2  

A = π r^2 = π 6^2 = 113.1 in2

Since there are 2 small pizzas we have to multiply the area by 2:

113.2 x 2 = 226.2 in2

A = π r^2 = π 12^2 = 452.38 in2

Since 452.38 in2 > 113.1 in2

Option 2 (one large pizza) will give her more square inches of pizza

Feel free to ask for more if needed or if you did not understand something.  

Answer:

For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula

Step-by-step explanation:

The great pyramid of Cheops is a square based pyramid therefore we have;

V + F = E + 2

Where:

V = Vertices

F = Faces

E = Edges

Hence, we have for a square pyramid;

V = 5 vertices (One at the peak, and four  at the base edges)

F = 5 faces (The four lateral or side faces and the base)

E = 8 edges ( The four lateral edges and the four base edges)

Hence;

5 + 5 = 8 + 2 which proves Euler-Descartes formula.

Answer:

Option A is correct.

Braylee's music is 3 times louder than Jessica's.

Step-by-step explanation:

Full Complete Questions

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as

L = 10log (I/I₀), where lo = 10⁻¹² W/m²

and is the least intense sound a human ear can hear.

Jessica is listening to soft music at a sound intensity level of 10⁻⁹ W/m² on her computer while she does her homework.

Braylee is completing her homework while listening to very loud music at a sound intensity level of 10⁻³ W/m² on her headphones. How many times louder is Braylee’s music than Jessica’s?

times louder

3 times louder

30 times louder

90 times louder

Solution

The loudness of a sound intensity is given as

L = 10 log (I/I₀)

For Jessica

I = 10⁻⁹ W/m²

I₀ = 10⁻¹² W/m²

L = 10 log (10⁻⁹/10⁻¹²)

L = 10 log (10³)

L = 10 × 3 = 30 dB

For Braylee

I = 10⁻³ W/m²

I₀ = 10⁻¹² W/m²

L = 10 log (10⁻³/10⁻¹²)

L = 10 log (10⁹)

L = 10 × 9 = 90 dB

How many times louder is Braylee's music than Jessica's?

The factor by which Braylee's music is louder than Jessica's = (90/30) = 3

Braylee's music is 3 times louder than Jessica's.

Hope this Helps!!!

Answer:

3 times louder

Step-by-step explanation: