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Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.

The recipe for 30 people would be as follows:

The recipe in the question above only serves 8 persons.

However, we are required to convert the recipe into one that serves 30 persons.

To do that, it is important to first convert the recipe into one that serves one(1) person.

If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.

The results are as follows:

The new recipe above is for serving 1 person Molten lava cake.

Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.

The results are as follows:

However, the question requires that the quantities be rounded off to the nearest half.

therefore we have,

4 c of sugar

22 ¹/2 squares of bittersweet chocolate

7 ¹/2 squares semisweet chocolate

4 ¹/2 stick butter

2 cup all-purpose flour

5 ¹/2cups confectioners’ sugar

11 ¹/2 large eggs

15 egg yolks

4 tsp vanilla extract

9 ¹/2 tablespoons orange liqueur.

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Answer:

[tex]C' =(5,3)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,5)[/tex]

[tex]B = (-2,3)[/tex]

[tex]C = (-5,3)[/tex]

Reflection across y-axis

Required

Find C'

For reflection across y-axis, the rule is:

[tex](x,y) \to (-x,y)[/tex]

So, the image of C is:

[tex](-5,3) \to (-(-5),3)[/tex]

[tex](-5,3) \to (5,3)[/tex]

Hence:

[tex]C' =(5,3)[/tex]

Answer:

7k

Step-by-step explanation:

Answer:

this function model grows.

Step-by-step explanation:

The value of b, 1.56, is greater than 1.

Answer:

21.2058333333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference = 2 * pi * r

r = 9 inches

Circumference = 18 pi

If there are 12 pieces (all equal) then the length of the crust is

C_part = 18*pi/12

C_part = 3/2 * pi

C_part= 4.71 inches

Answer:

88 is the correct answer.

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Answer:

88

Step-by-step explanation:

since a straight line is 180

180-92=88

Answer:

Corect Answer: A (5,5)

Step-by-step explanation:

5(5)+2(5)= 35, which is greater than 19

5+5= 10, which is greater than 5

therefore- (5,5) is correct & works for the system of inequalities

Answer:

24

Step-by-step explanation:

96 divided by 4 = 24

Step-by-step explanation:

B becuase it keeps the same orientation and have the same distance from each point and they both produce rigid motion.

A is a reflection.

C is a dilation.

D is a rotation.

9514 1404 393

Answer:

  630 miles

Step-by-step explanation:

distance = speed × time

distance = (70 mi/h)(9 h) = 630 mi

Jennifer traveled 630 miles in 9 hours.

The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).

When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.

given

Axis of symmetry:

x=9 /2

Vertex (minimum point): (9/2,−55/2)

X-intercepts: ((9+√55)/2,0) and ((9−√55)/2,0)

Y-intercept: (0,13)

The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).

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Answer:

14

Step-by-step explanation:

7x+9= 9x-19

-2x= -28

x= 14

they are corresponding angles

Answer:

x = 14

Step-by-step explanation:

the angles are corresponding.

corresponding angles theorem states that when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent.

therefore:

7x + 9 = 9x -19

9 = 2x - 19

28 = 2x

14 = x

Answer:

5:7

Step-by-step explanation:

Here's the solution,

we know,

[tex] \large \boxed{Sn = \frac{n}{2}[ 2a _1 + (n - 1)d ] }[/tex]

=》

[tex]Sn = \dfrac{17}{2} [ (2 \times 8 )+ (17 - 1) \times ( - 9) ][/tex]

=》

[tex]Sn = \dfrac{17}{2} [16 + (16 \times - 9)][/tex]

=》

[tex]Sn = \dfrac{17}{2} [16 + ( - 144)][/tex]

=》

[tex]Sn = \dfrac{17}{2} \times (- 128)[/tex]

=》

[tex]Sn = 17 \times ( - 64)[/tex]

=》

[tex]\huge\boxed{Sn = - 1088}[/tex]

Answer:

A,D, and E

ur welcome

Answer:

v - w - 1

Step-by-step explanation:

Try an experiment with a small, specific set of numbers like:

4, 5, 6, 7, 8, 9, 10   w = 4 and v = 10.

There are 5 numbers in the list, not counting the first and last.  Is this related to the difference between v and w?  v - w = 6, one more than 5.

The number of natural numbers between  w  and  v, not including  w  and  v, is v - w - 1.

Answer:

Hi.

Step-by-step explanation:

Answer:

310 cm 2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

A flowerpot is basically a circle, so you are looking for the circumference of a circle.

Formula: 2 x π x Radius

Answer:

73

Step-by-step explanation:

48^2 + 55^2 = 5329

square root of 5329 is 73

Answer:73mi

Step-by-step explanation:

The amount of change that Tina got back would be = $10

The amount of hours Tina spent in canoeing = 6 hours

The amount paid per hour for canoeing = $4

Therefore the total amount spent on canoeing = 6×4 = $24

The cost of the life jacket = $6

Therefore the total amount Tina spent = total amount spent on canoeing + cost of the life jacket.

That is; 24+6 = $30

The change Tina will receive from the two twenty dollars bills = (2×20) - 30

= 40-30 = $10

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Answer:

A

Step-by-step explanation:

they are complementary, they add to 90

Answer:

Step-by-step explanation:

If Colton makes a guaranteed salary of $500 per week, and he is paid a commission of 10% on top of that for a total of $1075 in sales, he would make an additional $107.50 in commission (1075 x .1 = 107.5). In total, Colton would make 500 + 107.5 = $607.50 in a week where he made $1075 in sales.

Answer:

2028

Step-by-step explanation:

156 x 13 = 2028

Given:

Measure of a cube = 1 unit on each side.

Dimensions of a space 2 units by 3 units by 4 units.

To find:

Number of cubes that can be fit into the given space.

Solution:

The volume of cube is:

[tex]V_1=a^3[/tex]

Where, a is the side length of cube.

[tex]V_1=(1)^3[/tex]

[tex]V_1=1[/tex]

So, the volume of the cube is 1 cubic units.

The volume of the cuboid is:

[tex]V_2=l\times b\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=2,b=3,h=4[/tex], we get

[tex]V_2=2\times 3\times 4[/tex]

[tex]V_2=24[/tex]

So, the volume of the space is 24 cubic units.

We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.

[tex]n=\dfrac{V_2}{V_1}[/tex]

[tex]n=\dfrac{24}{1}[/tex]

[tex]n=24[/tex]

Therefore, 24 cubes can be fit into the given space.

Answer:

The 5 digit number is 34880

Step-by-step explanation:

Let the five digit number be represented by "abcde".

We are told that 1 place digit number is of no use and the 5 digit number will remain the same without it.

This means that e = 0

The tens and hundreds digit are d and c respectively. We are told that they are mirror images of each other.

Thus, d = c = 8. Since 8 is the only number from 1 to 10 that can be mirrored and still remain a usable number.

The thousand digit is Half of the second digit.

Thus, b = ½d

b = 8/2

b = 4

We are told the 10thousand digit is 3 more than my ones place. Thus;

a = e + 3

a = 0 + 3

a = 3

We have seen that;

a = 3

b = 4

c = 8

d = 8

e = 0

Thus,the 5 digit number is 34880

Answer:

209.25

Step-by-step explanation:

Calculate the areas of the triangle, rectangle, and half circle, then add them together:

triangle = 1/2bh = 1/2(6)(10) = 30

rectangle = bh = (14)(10) = 140

half circle = 1/2πr² = 1/2(3.14)(5)² = 39.25

radius = r = D/2 = 10/2 = 5

Total area = 30 + 140 + 39.25 = 209.25

Answer:

209.25 ft²

Step-by-step explanation:

To find the total area of the figure you have to add the areas of the triangle, rectangle and the semi circle.

Area of the triangle.

[tex] \sf \: A = \frac{1}{2} \times base \times height \\ \sf \: A = \frac{1}{2} \times 6 \: ft \times10 \: ft \\ \sf \: A = \frac{1}{2} \times 60 \: {ft}^{2} \\ \sf \: A =30 \: {ft}^{2} [/tex]

Area of the rectangle.

[tex]\sf \: A =length \times width \\ \sf \: A =14 \: ft \times 10 \: ft \\ \sf A =140 \: {ft}^{2} [/tex]

Area of the semi circle.

[tex] \sf \: A = \frac{1}{2} \pi {r}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times ( \frac{10}{2}) ^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times {5}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times 25 \\ \sf \: A = \frac{1}{2} \times 3.14 \times 25 \\ \sf \: A = \frac{1}{2} \times 78.5 \\ \sf \: A = 39.25 {ft}^{2} [/tex]

Add up all the areas to find the total area.

[tex] \sf \: Total \: Area = 30 {ft}^{2} + 140 {ft}^{2} + 39.25 {ft}^{2} \\ = 209.25 {ft}^{2} [/tex]

Answer:

0.2 recurring I the same as 2/9

Step-by-step explanation:

x=0.2222

10x=2.2222

10x-x=9x

9x=2

divide both sides by 9

9x÷9=x

2÷9=2/9

Hope it helps:)

The area of the hot tub is 6079.04 in²

To determine the approximate area required for the installation of the hot tub. You can use the area of  a circle.

The area of  a circle is given by A = πr²

where r is the radius of the circle

Since the hot tub to have a diameter of 88 inches, the radius will be  88/2 = 44 inches. π = 3.14.

Thus, area of  the hot tub will be:

Area of hot tub = 3.14 × 44² = 6079.04 in²

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