Mei spent $66 buying fabric that costs $7.50 per yard. how many yards of fabric did mei buy? how do you know that your answer is reasonable?

Answer:( -8,-3)

Step-by-step explanation:Rewrite in vertex form and use this form to find the vertex  

( h , k )

Answer:

its a (-8, -3)

Step-by-step explanation:

it just is

Answer:
-Reflection across line p followed by 240 clockwise rotation about point T.

-Reflection across line r.

-120 counterclockwise rotation about point T.

Step-by-step explanation:

All these transformations map the triangle onto itself.

Answer: 16

Step-by-step explanation:

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

Answer:

1 inch

Step-by-step explanation:

There are 12 inches in 1 foot so 1/12 is 1 inch

1 foot = 12 inches

1/12 feet = 1 inch

Answer:

x(5x²-7)

Step-by-step explanation:

5x³-7x

=x(5x²-7)

To prove your answer,let's multiply x by each term in the bracket

=x X 5x²=5x³

x X -7 =-7x

Answer:

7y=3x + 58

Step-by-step explanation:

slope = m = (10-7)/4+3) = 3/7

y=3x/7+b

plug in either point to solve for b=y intercept

10=(3/7)/4+b =12/7+b

b =10-12/7 = 58/7

y=3x/7 + 58/7 or

eliminate the fractions

multiply by 7 to get

7y=3x + 58

Answer:

30%

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(26) tan \ 56 =\dfrac{opposite \ side }{adjacent \ side}\\\\\\ 1.4826 = \dfrac{BC}{12}\\\\\\1.4826*12 = BC\)

BC = 17.8 cm

\(27) Cos \ x =\dfrac{adjacent \ side}{hypotenuse}\\\\Cos \ x = \dfrac{15}{18}\\\\\\Cos \ x = 0.83\\\\x = Cos^{-1} \ (0.83)\\\\\)

x = 33.9°

5) The circumcircle is the circle we can draw around the pentagon, where the pentagon is inside the circle.

The diameter of that circumcircle is 483.28 meters.

We have to find the length of one of the sides.

The diameter can be converted to a radius dividing it by 2:

We will need to also know the measure of the interior angle of the pentagon.

For regular polygons we can calculate it as:

We can then draw a right triangle that will let us calculate the side length (a):

As the radius R bisects the interior angle, we have an angle in the triangle that is half the interior angle: 108/2 = 54°.

Then, we can use trigonometric ratios to find a:

Answer: 284.06 meters.

Answer:

DCB=50 degree (sum of interior angle of quadrilateral)

The ratio of right answers to wrong answers is 5 : 1

Ratio displays the relationship that exists  between two values. It shows the number of times a value is contained in another value.  

In order to determine the answer, the following information is needed:

Right answers : wrong answers

10 : 2

Express in simplest terms by dividing both numbers by 2

5 : 1

To determine the answer, express the right and wrong answers as ratios in its simplest form

Please find attached an image of the diagram needed to answer this question.

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Answer:

The error in his prediction is that he had too small of a sample size for the data to be reliable in how the trend would continue.

Answer:

He did not perform enough trials to compare the theoretical and experimental probabilities.

Step-by-step explanation:

Answer:

1) 1/2 *bh

2) 2s+4

3) 35+2m

The required given expression can be factored as \($(3a^2 + 5x^2)^2$\)

The given expression is:

\($9a^4 + 14a^2x^2 + 25x^4$\)

This is a quadratic trinomial in two variables. To factor it, we can use the following steps:

Step 1: Identify any common factors among the terms. In this case, there are no common factors among the terms.

Step 2: Recognize that the given expression is in the form of a perfect square trinomial. A perfect square trinomial is of the form \($(a^2 + b^2)^2$\) or \($(a^2 - b^2)^2$\), where a and b are expressions.

Step 3: Factor the expression using the appropriate formula for perfect square trinomials. In this case, we can recognize that \($9a^4$\), \($14a^2x^2$\), and \($25x^4$\) are perfect squares.

\($9a^4$\) is a perfect square of \($3a^2$\).

\($14a^2x^2$\) can be written as \($2(3a^2)(x^2)$\), which is a perfect square of \($2(3a^2x^2)$\).

\($25x^4$\) is a perfect square of \($5x^2$\).

Using these recognitions, we can rewrite the expression as:

\($(3a^2)^2 + 2(3a^2x^2) + (5x^2)^2$\)

Now we can see that this is a perfect square trinomial of the form \($(a^2 + b^2)^2$\), where \($a = 3a^2$\) and \($b = 5x^2$\). So we can factor it using the formula for perfect square trinomials:

\($(a^2 + b^2)^2 = (a + b)^2 \cdot (a - b)^2$\)

Substituting \($a = 3a^2$\) and \($b = 5x^2$\) we get:

\($(3a^2 + 5x^2)^2$\)

So, the given expression can be factored as \($(3a^2 + 5x^2)^2$\)

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okay so since the area is 22cm^2 , you will need to simplify it.

Which you will get 22*22 and the total would be 484. Which u will divide by 4 ( Square) to get each of the side your looking for.

So your answer is... 121

Answer:

The equation is Y= -200 x -2000

Step-by-step explanation:

They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).

Answer:

Step-by-step explanation:

The equation is Y= -200 x -2000

Step-by-step explanation:

They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).

The point (0, −9, 0) in rectangular coordinates can be written in spherical coordinates as (9, π/2, π). The point (-1,1,-√2) in rectangular coordinates can be written in spherical coordinates as (2, 5π/4, π/4).

(a) The point (0, −9, 0) in rectangular coordinates can be written in spherical coordinates as (9, π/2, π), where ρ = 9 is the distance from the origin to the point, θ = π/2 is the angle between the positive x-axis.

The projection of the point onto the xy-plane, and ϕ = π is the angle between the positive z-axis and the line segment connecting the origin and the point.

(b) The point (-1,1,-√2) in rectangular coordinates can be written in spherical coordinates as (2, 5π/4, π/4), where ρ = 2 is the distance from the origin to the point, θ = 5π/4 is the angle between the positive x-axis.

The projection of the point onto the xy-plane, and ϕ = π/4 is the angle between the positive z-axis and the line segment connecting the origin and the point.

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Answer:

A graph with points connected by lines to show how something changes in value:

• as time goes by,

• or as something else changes.

Step-by-step explanation:

Answer:

This is a line graph

Step-by-step explanation:

Answer:

the first one is an irregular shape, the second one isn't.

Step-by-step explanation:

Answer:

18.85

Step-by-step explanation:

2×3.14×3=18.8495559215

rounded = 18.85

We need to use distributive property to find the missing factors:

"The distributive property of multiplication says that a multiplication fact can be broken up into the sum of two other multiplication facts."

because 5+2 = 7.

So the correct answer are:

7 X 3 = ( 5 X 3 ) + ( 2 X 3 )

Then

7 X 3 = ( 2 X 3 ) + ( 5 X 3 )

because:

( 5 X 3 ) + ( 2 X 3 ) = ( 2 X 3 ) + ( 5 X 3 )

Also :

7 X 3 = ( 1 X 3) + ( 6 X 3 )

Because 7 x3 = (6+1) x 3 = 1 X 3) + ( 6 X 3 )

Step-by-step explanation:

x= 0 y= 5

y=mx+b

5=b

x= -3 y= -4

-4= -3m +5

-3m = -9

m= 3

y= 3x +5

(x+3)² = (16+x-3) (x-3)

x²+6x+9=(x+13)(x-3)

x²+6x+9=x²+10x-39

6x-10x=-39-9

-4x=-48

x = 12

=> NM = 12+3 = 15

Answer:

12⁽¹⁸⁾

Step-by-step explanation:

The expression is given as ;

12³ × 12⁹× 12⁴× 12²  -----same base, add the powers according to law of indices

12⁽³⁺⁹⁺⁴⁺²⁾  

12⁽¹⁸⁾

Answer:

e or 12¹⁸

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² + (x + 2)² = 10² ← expand parenthesis on left side and simplify

x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide through by 2 )

x² + 2x - 48 = 0

(x + 8)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

however, x > 0 , then x = 6

The grouping symbols commonly used in mathematics are the following:

Now, According to the question:

What are the 4 types of grouping symbols?

The grouping symbols commonly used in mathematics are the following:

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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Answer:

SAS

Step-by-step explanation:

Answer:

b = \(\frac{a}{c}\)

Step-by-step explanation:

\(\frac{a}{b}\) = c ( multiply both sides by b )

a = bc ( isolate b by dividing both sides by c )

\(\frac{a}{c}\) = b

The linear equation that models how much Carolina earns depending on the number of hours that she works is:

y = 6*x + 8

Here we know that for every mowing job, Carolina charges $6, plus an initial fee. So if that initial fee is b, we can write the equation as:

y = 6*x + b

We also know that for a 4 hours job she charges $32, then we can replace x by 4 and y by 32 in the equation above.

32 = 6*4 + b

32 = 24 + b

32 - 24 = b

8 = b

Then the linear equation we wanted to find is:

y = 6*x + 8

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