CRITICAL THINKING Describe two different sequences of transformations in which the blue figure is the image of the red figi 1 1 2 B I y ET

the number of guests a small tier can serve is 22

the number of guest a large tier serves is 40

Explanation

Step 1

Set the equations

a) let

x represents the number of guest one small tier serves

y represents the number of guests one large tier serves

b) translate into math term

i)The first cake consists of 3 small tiers and 4 large tiers, which will serve a total of 226 guests,so

ii) The second one includes 1 small tier and 1 large tier, which is enough servings for 62 guests,so

Step 2

solve the equations:

a) isolate the x value in equation (2) and replace in equatino (1) to solve for y

replace into equation(1) and solve for y

so, the number of guest a large tier serves is 40

b)now, replace the y value into equation (2) and solve for x

so, the number of guests a small tier can serve is 22the number of guests a small tier can serve is 22

I hope this helps you

Given data:

The given money Omar has $84.

The given money maryam has $12.

The expression for the money Omar give to maryam so that maryam will have three times as much as omar.

Thus, the final expression is 3(84-x)=12+x.

For this case the first option is correct Plane P

From the question, we're told that Hector earns $210.00 for working 2hours every week. Let's go ahead and determine

There are 4 quarts in a gallon so the price of one gallon that they have given us has to be split into four so $4.76/4 =$1. 19/quart

Given the following set of data:

8 12 15 9 10 12 12 18 14 15 10 11 12 9 17

We will find the range of the data.

We need to find the maximum and the minimum

The maximum = 18

The minimum = 8

So, the range = maximum - minimum = 18 - 8 = 10

So, the answer will be The range = 10

We were told that volume of water that flows over the fall each second is 2.9 x 10^5 gallons.

Recall, 1 hour = 3600 seconds

If 1 second = 2.9 x 10^5 gallons, then

3600 seconds = 3600 x 2.9 x 10^5

= 1.044 x 10^9 gallons

Thus, 1.044 x 10^9 gallons of water will flow over the falls in an hour.

Line m:

line k:

so, the lime m and line k are:

D. Neither parallel nor perpendicular

Because:

D. their slopes have no relationship

Given:

• Degree of polynomial = 3

• Zeros of the polynomial: 2, 3 - 2i

Let's find the polynomial.

Since the polynomail is of degree 3, it's highest exponent will be 3.

Equate the zeros to zero:

x = 2

Subtract 2 from both sides:

x - 2 = 2 - 2

x - 2 = 0

x = (3 - 2i)

Since this root is a complex conjugate, we have the other complex root: (3 + 2i)

Hence, we have:

(x - (3 - 2i)) and (x - (3 + 2i)).

Therefore, to write the function, we have:

Now, simplify the expression:

Solving further:

Combine like terms:

ANSWER:

we know that

1 in=2.54 cm

so

840 in

Applying proportion

1/2.54=840/x

x=(840*2.54)/1

x=2,133.6 cm

answer is

we have

2.54 cm/in

Multiply by 840 in

2.54*(840)=2,133.6 cm40/

The equation of the line that goes through the point (5, -1) and is parallel to the given equation is; 3x + 2y = -7.

Recall from line geometry that parallel lines have equal slopes.

Therefore, by computing the slope of the equation given as follows; we have;

3x + 2y = 19.

By rearranging the equation in the slope-intercept form; y = mx + c; we have;

y = (-3/2)x + 19/2

Therefore, the slope of both lines is same and is; -3/2.

Therefore, By using the point slope equation of a straight line; (y - y1) = m (x - x1); we have;

(y - (-1)) = -3/2(x - 5)

2y + 2 = -3x - 5

3x + 2y = -7.

Ultimately, the required equation is; 3x + 2y = -7.

Read more on slope of parallel lines;

https://brainly.com/question/10790818

#SPJ1

Explanation

Step 1

Vertical angles are formed when two lines intersect each other. Out of the 4 angles that are formed, the angles that are opposite to each other are vertical angles. vertical angles are congruent so

Step 1

replace the given values

now, we need to solve for x

a)

b)subtract 3x in both sides( additioin or subtraction property of equality)

c) finally, divide both sides by (-9) division property of equality

i hope this helps you

SOLUTION

The expression is given as

The value of n makes the expression a perfect square trinomial.

To find the value of n, we have

Identify the coefficient of u and divide by 2

Then square the result, we have

Then the complete trinomial of the polynomial becomes

To factor as a square of a binomial we use the perfect square trinomial above

Therefore

The vaue of n = 100

The factor as the square of a binomial is (u+ 10)²

Answer:

The answer is C.

Step-by-step explanation:

In order to solve this, you must use an inequality from one side of the equation.

Inequality is the growing inequality between rich and poor.

First thing you do is divide by 4 from both sides.

[tex]\sf{\dfrac{4x}{4} > \dfrac{-8}{4}}[/tex]

Solve.

Divide these numbers goes from left to right.

-8/4=-2

[tex]\boxed{\sf{x > -2}}[/tex]

Therefore, the graph represents the solution set of the inequality of 4x>-8 is C, which is our answer.

I hope this helps, let me know if you have any questions.

According to the given graph, the point Q is between 5 and 5.50.

Therefore, the number that best describes point Q is

Since it's between 5 and 5.50 too.

The first step to do is to combine 10.8x - 3.5x and that is equal to 7.3x.

The next step is to divide both sides by 7.3 to solve for x.

Therefore, the remaining sheet metal is 7.3 ft² and the cost per square foot of sheet metal is $30.

Given the following equation:

First, we will identify the zeros of the denominator

So, the zeros are: x = {0,4}

Second, multiply the equation by x(x-4) to eliminate the denominators

Simplify the equation:

Expand the equation and combine the like terms:

The last quadratic equation will be solved using the quadratic rule:

Substitute a = 1, b = -7, c = 16

So, the answer will be:

Answer:

-4 +9i

Step-by-step explanation:

complex number in standard form.

(-2+6i)-(2-3i)=

Combine like terms

-2 -2  +6i +3i

Standard form is a+bi

-4 +9i

Answer:

B. SAS
:)

Step-by-step explanation:

First step: Simplify everything

[tex]2(10-a) + 4a + 4a+7 = 48[/tex]

Next: Distribute required values

[tex]20-2a+4a+4a+7=48[/tex]

Next: Time to add like terms

[tex]6a = 21[/tex]

Final Step: Divide 6 on both sides to isolate variable

[tex]a = \frac{21}{6}[/tex]

Thus, the value "a" = [tex]\frac{21}{6}[/tex]

Hope this helps :)

The sum of integers from 33 to 47 is 600.

So, the sum of integers:

Simply perform addition as follows:

Therefore, the sum of integers from 33 to 47 is 600.

Know more about integers here:

https://brainly.com/question/17695139

#SPJ13

Given:

Solve as:

Hence, the required answer is 6.

Lisa played 42 minutes of a 60 minutes match. This means that she didn't play 18 minutes of the game; to find what percent this represents we can use the rule of three:

Then:

Therefore, Lisa didn't play 30% of the game.

Given:

The cube root of D = 4

so, we can write the following expression:

cube both sides to find d

So,

So, the answer will be D = 64

300 u²

1) Let's start by sketching out this:

2) Since a Rhombus have 4 congruent sides, then we can state that 4 sides are 25 units, and we need to find out the other Diagonal (AC)

Applying the Pythagorean Theorem, to Triangle COD

a² =b² +c²

25² = 15² +c²

625 = 225 + c² subtract 225 from both sides

625-225 = c²

400 = c²

√c² =√400

c =20

2.2) Now, we can calculate the area, applying the formula for the area of a rhombus (the product of its diagonals).

3) Hence, the answer is 300 u²

Given a figure to find the area of the figure.

The given figure is the combination of two triangles and a semi-circle.

Here the radius and the base of the triangle is 10 yd and the height of the triangle is 21 yd. So, the area of the figure is;

Thus, the area of the figure is 367 yd^2.

The system of equations has 3 cases

1. y = ax + b, y = ax + c

Since the coefficient of x and y are the same, and the y-intercepts are different, then

The two lines are parallel

2. y = ax + b, y = dx + c

Since the 2 lines have different coefficients of x, then

The two lines are intersected

3. y = ax + b, y = ax + b

Since the two lines have equal coefficients of x and equal y-intercepted, then

The two lines are coincide (same line)

6. a)

Since the system of equations is

The coefficients of x not equal

Then from case 2 above

The two lines are intersected

6.b

Since the system of equations is

The coefficients of x are equal

The y-interceptes not equal

Then from case 1 above

The two lines are parallel

Solution

Since the diagram given is a Triangle, therefore, the sum of it's interior angles is 180 degrees

However, the Triangle is a right angle Triangle since on of its angles is 90 degrees.

The sum of its Interior angles is given by;

subtracting 142 from both sides,

Therefore, z = 38

d = 2q .........................................................................(1)

0.1d + 0.25q = 4.20 ................................................(2)

Let d be the number of dimes, and q be the number of quarters Sophie has.

Since she has twice as many quarters as dimes, and they are worth $4.20, we have:

d = 2q .........................................................................(1)

Also, because:

1 dime = $0.1

1 quarter = $0.25

0.1d + 0.25q = 4.20 ..................................................(2)

Equation (1) and (2) can be solved to determine the number of dimes and quarters