Apply the distributive property to factor out the greatest common factor. 22c+33d

Answers

Answer 1
Answer:

Answer: Our required answer is 11(2c+3d)

Step-by-step explanation:

Since we have given that

22c + 33d.

We have to use "Distributive property" to factor out the greatest common factor.

Since we know that 11 is the greatest common factor of 22 and 33.

So, it becomes,

11(2c+3d)

Hence, our required answer is 11(2c+3d)

Answer 2
Answer:

Answer:

11 (2c+3d)

Step-by-step explanation:

Got answer from khan academy


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One serving of a whole grain is equal to

Answers

A serving of whole grain, is usually 16 grams of whole grain, according to the Whole Grain Council. But others may say it could be 28 grams, according to other sources.

Maria invested $450 in a savings account and earned $126 in interest at the end of 7 years.What was the interest rate?

A.
3.5%

B.
4%

C.
4.5%

D.
5%

Answers

The interest rate is B. 4%

Given:
Principal = 450
Interest = 126
term = 7 
rate = ?

Simple Interest is computed by multiplying the Principal, rate, and term.

Interest = P × r × t

126 = 450 × r × 7
126 = 3150r
r = 126/3150
r = 0.04 x 100% = 4%

To check:

I = 450 
× 0.04 x 7
I = 18 × 7
I = 126

Jose ran 470 meters each day for 4 days in a row. what was the total distance he ran in kilometers

Answers

you divide 470÷4 and equals to 117.5
That would be 470 * 4 =    1880 meters 
This equal 1.88 kilometers

A cell phone plan uses a fixed charge of $20 per month plus 10 cents for each minute used to calculate the total bill. The total bill, t, can be expressed in terms of the number of minutes, m, by the function rule t=20+0.10m. Which rule describes the inverse function?t=20−0.10m

m=20+0.10t

t=−20+0.10m

m=10t−200

Answers

We have function t=20+0.10m and we want to find inverse function, so we want to have value of m in times of t.
t=20+0.10m  /-20 both sides
t-20=0.10m    /*10 (multiply both sides by 10)
10t-200=m
m=10t-200     - its the final result, so the answer is D.

Angela goes to the Garden. There is a fountain. A circular fountain with 10m radius lies alone in the center of a circular park with a 200m radius. Calculate the total walking area available to the park visitors.

Answers

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Identify the graph of 4y^(2)+12x^(2)=24 for T(-1,4) and write an equation of the translated or rotated graph in general form.

Answers

The point T(-1,4) lies on the ellipse on the graph.

The equation of the ellipse in generalform is:

(x/√2)² + (y/√6)² = 1

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The given equation, 4y² + 12x² = 24, can be simplified by dividing both sides by 24 to get:

y²/6 + x²/2 = 1

This is the equation of an ellipse centered at the origin, with a horizontal majoraxis of length 2√6 and a vertical minoraxis of length 2√2.

To identify the graph of the ellipse passing through T(-1,4), we substitute x = -1 and y = 4 in the equation and simplify:

4(4)² + 12(-1)² = 24

64 - 12 = 52

Thus, point T(-1,4) lies on the ellipse.

To find the equation of the translated or rotated ellipse in general form, we can use standard transformations.

Let (h,k) be the center of the ellipse.

Then we have:

(x-h)²/a² + (y-k)²/b² = 1

where a and b are the lengths of the semi-major and semi-minor axes, respectively.

The center of the given ellipse is (0,0), so h = 0 and k = 0.

To determine the values of a and b, we note that a^(2) is the coefficient of x² in the equation, and b² is the coefficient of y².

Thus, we have:

a² = 2 and b² = 6

Taking squareroots, we get:

a = √2 and b = √6

Therefore,

The equation of the ellipse in generalform is:

(x/√2)² + (y/√6)² = 1

This is the equation of an ellipse with a horizontal majoraxis of length 2√2 and a vertical minoraxis of length 2√6, centered at the origin and rotated counterclockwise by an angle of θ such that tan(2θ) = 4/3.

Learn more about equations here:

brainly.com/question/17194269

#SPJ3

Answer:

b. ellipse; 3x^2 + y^2 + 6x - 8y + 13 = 0

Step-by-step explanation:

thats the answer on edg :)