For each dozen cookies Rachel used 1 1/2 cups of milk. How many cups of milk did she use for 16 dozen cookies?
Show your work.

If you sell the doll to Jane for $600, then the total surplus rises by $700.

Two or more expressions with an Equal sign is called as Equation.

The sentimental value of the doll to you is $100, which represents your consumer surplus.

Jane is willing to pay $800 for the doll, which represents her consumer surplus.

If you sell the doll to Jane for $600, your producer surplus is $500

and Jane's consumer surplus is $200 ($800 value to her minus $600 selling price).

The total surplus is $800.

If you had not sold the doll at all, the total surplus would have been $100 so by selling the doll to Jane, the total surplus rises by $700

Hence,  If you sell the doll to Jane for $600, then the total surplus rises by $700.

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Answer:

the minimum work he can do to complete it in 3 days is 1/3.

So he should do at least 1/3 of the work each day to complete it on time.

Answer = 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(x + 3 = 6\)

Move constant to R.H.S and change its sign:

\(x = 6 - 3\)

Calculate the difference

\(x = 3\)

Hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

2 + (-5)

just like subtracting

2-5

=-3

Answer:

-3

Step-by-step explanation:

I have had this question before, and -3 is the answer.

Answer:

A = yes

B = no

C = yes

D = no

E = yes

F = yes

Hope I helped!!!

Answer:

6 + 10v – 8w = 62

Step-by-step explanation:

Given the expression

6 + 10v – 8w

as

substituting the values in the expression

6 + 10v – 8w = 6 + 10(4) - 8(-2)

                      = 6 + 40 + 16

                      = 62

Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.

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Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Answer:

I would say 144

Step-by-step explanation:

I say 144 Because 3 to the square root of 16 is 12

And twelve to the second power is 2

Answer:

26.13

Step-by-step explanation:

to find the area of a circle, it's pi*r squared:

pi*3squared=9pi

it's a semi-circle so you divide it by two=4.5pi

they are telling us to use 3.14 instead of pi, so it would be:

4.5*3.14=14.13

now we find the area of the triangle. And we use the formula, (height*base)/2:

6*4/2=12

now we add the sums together, which is:

12+14.13=26.13

\(97.\)

Step-by-step explanation:

By using Pythagoras theorem

AC² = AB² + BC².

Let AB = 72 and BC = 65.

AC² = 72² + 65²

AC² = 5184 + 4225

AC² = 9409.

AC = √9409

AC = 97.

Answer:

rtgw5s

Step-by-step explanation:

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

Answer:

256 x^4 - 1568 x^2 + 2401 or (49 - 16 x^2)^2

Step-by-step explanation:

Expand the following:

(4 x + 7) (4 x + 7) (4 x - 7) (4 x - 7)

(4 x + 7) (4 x + 7) (4 x - 7) (4 x - 7) = (4 x + 7)^2 (4 x - 7)^2:

(4 x + 7)^2 (4 x - 7)^2

(4 x - 7) (4 x - 7) = (4 x) (4 x) + (4 x) (-7) + (-7) (4 x) + (-7) (-7) = 16 x^2 - 28 x - 28 x + 49 = 16 x^2 - 56 x + 49:

(16 x^2 - 56 x + 49) (4 x + 7)^2

(4 x + 7) (4 x + 7) = (4 x) (4 x) + (4 x) (7) + (7) (4 x) + (7) (7) = 16 x^2 + 28 x + 28 x + 49 = 16 x^2 + 56 x + 49:

(16 x^2 + 56 x + 49) (16 x^2 - 56 x + 49)

| | | | 16 x^2 | + | 56 x | + | 49

| | | | 16 x^2 | - | 56 x | + | 49

| | | | 784 x^2 | + | 2744 x | + | 2401

| | -896 x^3 | - | 3136 x^2 | - | 2744 x | + | 0

256 x^4 | + | 896 x^3 | + | 784 x^2 | + | 0 | + | 0

256 x^4 | + | 0 | - | 1568 x^2 | + | 0 | + | 2401:

Answer: 256 x^4 - 1568 x^2 + 2401 or (49 - 16 x^2)^2

a. Apples:  Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes: The amount of grapes that Lily has is not given

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.

a. Apples:

2½ × 4 cups = 10 cups

Therefore, Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons:

2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups

Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes:

The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.

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The value of the side x is 4. 36

To determine the value, we need to know that there are six different trigonometric identities. They are;

From the information given, we have that;

the acute angle is 28 degrees and the obtuse angle is 126 degrees. The adjacent side of 28-degree angle is 8.2 and the opposite side is x.

Opposite side = x

Adjacent side = 8.2

Now, using the tangent identity;

tan 28 = x/8.2

multiply the values

x = 0. 5317(8.2)

multiply

x = 4. 36

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Answer:

Step-by-step explanation:

12q + 3r = 15

-12q - 12r = -132

-9r = -117

r = 13

12q + 3(13) = 15

12q + 39 = 15

12q = -24

q = -2

(-2, 13)

b is the answer

Answer:

(-2,13)

Step-by-step explanation:

i took the test and can confirm its 100% on edge

From the given diagram, we can name the following as;

Ray is AT

Line segment is MH

Line is AM

A ray is defined as a line that has only one endpoint. The other end of the line just goes on. It has one start point and one end point.

A line segment has two end points. The difference between a line segment and a line is that a line is extensive while the line segment has two end points.

A line is straight, without any type of thickness and it is the shortest distance that exists between 2 points. It has only length. It is without width.

Looking at the given image and comparing with our definitions, we can say that;

Line segment is MH

Ray is AT

Line is AM

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When Five dozen eggs cost R60 [r/dozen], the value of R is 3600.

The term "dozen" or "dz" refers to a group of twelve.

Because there are roughly 12 lunar cycles (or months) in each solar cycle (or year), the number 12 may be one of the earliest primitive integer groupings. Twelve is useful because it has the most divisors among numbers up to its double, a characteristic that is only true of the numbers 1, 2, 6, 12, 60, 360, and 2520.

The duodecimal system, also known as the dozenal, was developed in Mesopotamia and uses the number twelve as its base (see also sexagesimal). By counting each finger bone with one's thumb, one can quickly count in base-12 on their hands.

Given 5 dozen of egg costs = R/60

That is

5 × 12 = R/60

60 = R/60

R = 60 × 60

R = 3600

Thus, When Five dozen eggs cost R60 [r/dozen], the value of R is 3600.

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Complete question:

Five dozen eggs cost R60 [R/dozen]. Find the value of R.

Answer:

230,776 is your answer

Answer:

Step-by-step explanation:

230,776

Answer:

x=5

Step-by-step explanation:

See image below:)

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

See attachment for the graph of the function y = 5 sin(4x)

The trigonometry function is given as:

y = 5 sin(4x)

To plot the graph, we use the following domain:

x > 0

This represents the minimum value of x

Also, we use

x < π/2

This represents the maximum value of x

When the domain are combined, we have:

0 < x < π/2

This means that the domain that gives a complete cycle is 0 < x < π/2

See attachment for the graph of the function

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The total amount payable at the end of 4 years is 406

In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.

here we have to apply the formulla of simmple interest :

(principal × rate of interest × no. of years )/ 100

In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4

Simple interest = pnr/100

= (350 × 4 × 4)/100  = 56

Matured Amount = Principal + Interest

= 350 + 56 = 406

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is △ABC equilateral?  well, we dunno, however let's check for all sides' length.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)

\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)

well, not quite.

Answer:

2

Step-by-step explanation:

rise/run = 2/1

Answer:

237.9 yards

Step-by-step explanation:

90-23=67

cos 67⁰=x/610

x=610 cos 67

x= 610 x 0.39

x=237.9 yards