2. If there are 9 square patches on the quilt, how many circle patches are
there?
9 divide = circle patches

-12 \(\geq\) 24x

divide both sides by 24

-0.5\(\geq\)x

Answer:

-0.5 ≥ x

Step-by-step explanation:

12 ≥ 24x. 12/24 ≥ 24/24x. -0.5 ≥ x

Work Shown:

4/3 = 72/x

4x = 3*72

4x = 216

x = 216/4

x = 54

Explanation:

Each fraction in the first step is of the form A/B, where A is the amount of punch and B is the amount of cranberry juice. Both measured in cups. In the 2nd step, I cross multiplied. Afterward, divide both sides by 4 to isolate x.

Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

Step-by-step explanation:

Solve for y to put the equation in slope-intercept form.

  3x = 4y -4 . . . . . eliminate parentheses, collect terms

  3x +4 = 4y . . . . . add 4

  y = 3/4x +1 . . . . . divide by 4

The slope is the x-coefficient: 3/4.

The y-intercept is the constant: 1.

Answer:

c

Step-by-step explanation:

Where is it located?

Answer:

D

Step-by-step explanation:

Answer:

x= 8

Step-by-step explanation:

In the photo, the two angles that have their equation listed are classified as corresponding angles. When angles correspond, that means they are equal. So all you must do is make them equla to each other, so it should look something like this.

6x-11=37- simplify this then you are left with this

6x=48 then divide and your final result is

x=8

Answer:you know how to get it look it up :D

Step-by-step explanation:

Give me big brain plz

Answer:

Length =3×12 =36 m.

Answer:

x = 24

Step-by-step explanation:

x - (3 · 4) = 12

x - 12   =     12

  + 12      + 12

x = 24

Answer:

75 students

Step-by-step explanation:

So firstly lets make convert these words to alegbra :

30 people are 40%of the total students at the event meaning that the following equation can be made :

30 = 40% of x    (x is the unknown amount of students there)

30 = 40% * x

30 = 0.4x (we can convert the precentage into a decimal by dividing by 100)

Now that we have the equation that 30 = 0.4x we can evalute it and find x :

30=0.4x

30/0.4=0.4x/0.4 (divide by 0.4 on both sides)

75=x

So thats how we get that 75 students were in the event in total.

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

learn more on angles here: brainly.com/question/18854964

#SPJ1

The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

Learn more about bisecting of angles on https://brainly.com/question/23984603

#SPJ1

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Read more about matrix at

https://brainly.com/question/11989522

#SPJ1

Answer:

32

Step-by-step explanation:

To solve, simply put 4 in place of x. 8 times 4 is 32

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

Learn more about compound statement on

https://brainly.com/question/28794655

#SPJ1

Answer:

1.25

Step-by-step explanation:

\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)

\({\texttt{{Hello}}}\)

\(\gray{\boxed{{\textsf{trouble}}}}\)

\(-y ^ { 2 } +x ^ { 3 } -4x ^ { 3 } -6y ^ { 2 } +5-2-x ^ { 3 } \\ \)

\(\green{\boxed{{\textsf{Development}}}}\)

\(-y ^ { 2 } +x ^ { 3 } -4x ^ { 3 } -6y ^ { 2 } +5-2-x ^ { 3 } \\ \)

\(-y^{2}-3x^{3}-6y^{2}+5-2-x^{3} \\ \)

\(-y^{2}-3x^{3}-6y^{2}+3-x^{3} \\ \)

\(-y^{2}-4x^{3}-6y^{2}+3 \\ \)

\(-7y^{2}-4x^{3}+3 \\ \)

\(\red{\boxed{{\textsf{Answer}}}}\)

\(-7y^{2}-4x^{3}+3 \\ \)

\(\red{\texttt{{\textsf{XxXDxX}}}}\)

\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

Learn more about the tangent line:

https://brainly.com/question/30162650

#SPJ1

Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

Learn more about depreciation at: https://brainly.com/question/1203926

#SPJ1

Answer:

First term = a= 16.

Common difference, d, = 32.

Answer for the fifth second is = 144 feet.

Step-by-step explanation:

This question is simply an Arithmetic Progression, AP,.

so, the 1st second represents the first term and so on.

for the common difference, you just subtract the first from the second term and confirm by subtracting the second from the third term and i got 32.

Answer:

Step-by-step explanation:

divide by R

Answer:

It points to 3 in on the clock.

Hope it helps!!!

Its the last one. I just took the quiz on edge.

Step-by-step explanation: The scale factor is 5. You mutiply  5 with the coordinates. J  is (-3,2) so multiply 5 and -3  which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)

Answer:

19

Step-by-step explanation:

Notice that these two triangles are comprised of the same two lines. Because of this we can assume that \(39 = (2x+1)\)

We can proceed from here.

The parentheses are unnecessary on the right side of the equation because there is nothing else on that side. Lets remove them

\(39=2x+1\)

Now remember that we must do OPPOSITES. do the opposite on both sides. For example lets get rid of the 1. The opposite of 1 is negative 1. So subtract 1 from both sides. We get

\(38=2x\)

now we are making progress.....

the opposite of 2 times x is 2 divided by x. Lets divide 2 from both sides.

\(19=x\)

SUCCESS!