In the diagram below, three lines intersect at N. The measure of angle GNF is 60°, and the measure of angle MNL is 47º.Find the measurement of angle HNK

0.9375 limes are required to make 0.75 cups servings of limeade.

Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.

Here, we are given that a recipe for limeade calls for 10 limes and gives us eight cups of servings of limeade.

⇒ 10 limes make up 8 cups

Number of limes required for 1 cup of limeade = 10/8

= 1.25 limes

Thus, limes required for making 0.75 cups of limeade = 1.25 × 0.75

= 0.9375 limes

Thus, 0.9375 limes are required to make 0.75 cups servings of limeade.

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Answer: 1,222

Step-by-step explanation:

I would set this up as a fraction

3/2=1833/x

I would divide 1833 by 3 to see what the multiple is that would be used to find the equivalent fraction. Then multiply that number by 2 to solve for x.

Another option is to cross multiply

3x=2(1833)

1833*2=3666

Divide 3x by 3 to get x alone

Divide 3666 by 3 to get answer

1222

Answer: The moving of decimal to the left is a shortcut to the operation of multiplying number by decimal numbers

Step-by-step explanation:

the power of 10 that is involved in converting the measurements of pete is -4, so he needs to multiply the measurement by 10^-4 to convert it.

Answer:

Sample Response: Because he moved the decimal 4 places to the left, Pete is dividing by 10 to the 4th power, or 10,000. Pete moved the decimal place 4 places to the left. Pete is dividing by 10 to the 4th power, or 10,000.

Step-by-step explanation:

it was on edg

                                                      hope it helps :b

The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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The possible amounts Susan will spend on candy is $25 and above.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this situation, since Susan will buy more than 6 pounds of candy, the same expression will be illustrated by x.

x > ($4 × 6)

x > $24

In this case, she'll have to spend $25 or more.

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Solve both sides of the equation to determine if true.

10(-7/8) = (-7/8)10
-70/8 = -70/8

This equation is true.

Answer:

\(10\left(\frac{-7}{8}\right)=\left(\frac{-7}{8}\right)\cdot \:10\quad :\quad \mathrm{True}\)

Step-by-step explanation:

STEPS

\(10\left(\frac{-7}{8}\right)=\left(\frac{-7}{8}\right)\cdot \:10\)

Frist u simplify \(10\left(\frac{-7}{8}\right)\)

\(=10\cdot \frac{-7}{8}\\\\\)

\(=-\frac{7\cdot \:10}{8}\)

\(=-\frac{70}{8}\)

\(=-\frac{35}{4}\)

\(-\frac{35}{4}=-\frac{35}{4}\)

THIs means both sides are true

hope this helps  

~~Wdfads~~

They will be when they pass each other at 44 4/9 mins.

This is a classic question on Speed, time, & distance.

1. When time traveled in each segment is constant, then average speed is simple mean of speeds.

2. When distance traveled in each segment is constant, then average speed is reciprocal of simple mean of reciprocal of speeds. It is basically called Harmonic mean.

So this question falls in the category of 2.

=> So, average speed = Reciprocal of mean of reciprocals of 40 & 50.

=> Average speed = Reciprocal of mean of 1/40 & 1/50.

=> Average speed = Reciprocal of (1/40 + 1/50)/2

= Reciprocal of (5+4)/400

= 44 4/9 mins

Hence, they will be when they pass each other at 44 4/9 mins.

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Answer:

27.57 degree

Step-by-step explanation:

shown in the diagram

The measurement of the smallest angle, of Δ ABC, is 27.57°

A triangle is a polygon with three edges and three vertices and three angles.

Given that, a triangle has sides 17, 29 and 16, we need to find the measurement of the smallest angle,

We know that, In any triangle, the largest side and largest angle are opposite one another, the smallest side and smallest angle are opposite one another, the mid-sized side and mid-sized angle are opposite one another. (please refer to the figure attached)

Therefore, the smallest angle, is opposite to side 16,

Using the cosine law of the triangle,

c² = a²+b²-2abcosC

C = cos⁻¹(a²+b²-c²) / 2ab

C = cos⁻¹(29²+17²-16²) / 2(29)(17)

C = cos⁻¹(874/986)

C = cos⁻¹(0.886409736)

C = 27.57°

Hence, the measurement of the smallest angle, of Δ ABC is 27.57°

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Answer:

1.89billions

Step-by-step explanation:

Given

The quantity demanded determined by the price P of wheat, and the relation is

P = 2.55 − 0.55D

Also, the quantity supplied is determined by the price P of wheat, in dollars per bushel, and the relation is

P = 2.13S − 0.65

At equilibrium, the price of wheat will be the same i.e;

2.13S-0.65 = 2.55-0.55D

Also since at the equilibrium price, the quantity supplied and the quantity demanded are the same, then S = D

Substitute into the formula

2.13S-0.65 = 2.55-0.55S

2.13S+0.55S = 2.55+0.65

2.68S = 3.20

S = 3.20/2.68

S = 1.194

Get the equilibrium price of wheat;

Given;

P = 2.13S − 0.65

P = 2.13(1.194) − 0.65

P = 2.5433-0.65

P = 1.893

Hence the equilibrium price of wheat is approximately 1.89billions

Answer:

The equilibrium price for wheat is 3.663 dollars per bushel

Step-by-step explanation:

The quantity of wheat, in billions of bushels, that wheat suppliers are willing to produce in a year and offer for sale, determined by the price P of wheat, is:

P = 2.13*S - 0.65

On the other hand, you know that the amount of wheat, in billions of bushels, that wheat consumers are willing to buy in a year, determined by the price P of wheat, is:

P = 2.55 - 0.55*D

The market equilibrium or point of equilibrium is that point where there is an equilibrium because the demanders are willing to buy the same units that the suppliers want to manufacture, for the same price.  

Being at the equilibrium price, the quantity supplied and the quantity demanded must be equal. So, being:

the quantity supplied S must be equal to the quantity demanded D:

S=D

\(\frac{P+0.65}{2.13} =\frac{P+2.55}{-0.55}\)

Solving:

\((-0.55)*\frac{P+0.65}{2.13} =P+2.55\)

\(\frac{-0.55}{2.13} *(P+0.65) =P+2.55\)

\(-\frac{55}{213} *(P+0.65) =P+2.55\)

\(-\frac{55}{213} *P-0.168 =P+2.55\)

\(-\frac{55}{213} *P-P =2.55+0.168\)

\(0.742*P =2.718\)

P=2.718÷0.742

P=3.663

The equilibrium price for wheat is 3.663 dollars per bushel

Answer:

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

Speed per hour = 54 km

We have to find Speed per minute

For that...

60 minutes ---- 54 km(cuz, 1 hr = 60 minutes

1 minute -----?

=54/60 km/minute

=9/10 km/minute

= 0.9 km/minute

SO THE LORRY WILL TRAVEL 0.9 KM IN A MINUTE

Step-by-step explanation:

it says here "college".

well ...

X + X + X + Y = 4.2

3X + Y = 4.2

X + X + Y = 3.0

2X + Y = 3.0

what is the difference ?

one X (from 3X to 2X) on the left, and 1.2 (from 4.2 to 3.0) on the right.

so, X = 1.2

therefore,

X + Y = 1.8

why ?

because another X (= 1.2) was removed.

and 3.0 - 1.2 = 1.8

Answer:

{Ø}, {Ø} - these two

Using a system of equations, the amount of solution a and b required to make the required gallons of the solution are 29.41 and 20.59 respectively.

Let :

a + b = 50 - - - - (1)

0.24a + 0.41b = 50 × 0.31

0.24a + 0.41b = 15.5 - - - - (2)

From (1) :

a = 50 - b - - - - (3)

Substituting (3) into (2)

0.24(50 - b) + 0.41b = 15.5

12 - 0.24b + 0.41b = 15.5

0.17b = 15.5 - 12

0.17b = 3.5

b = 20.588

From (3) :

a = 50 - 20.588

a = 29.412

Therefore, about 29.41 gallons of solution a and 20.59 gallons of solution b is required.

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Answer: 155

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

24,144,864,5184,31104

Step-by-step explanation:

Answer:

so you need a khan academy account?

Answer: A) \(y=\frac{3}{7}x-2\)

Step-by-step explanation:

its just the answer, and if you want explanation just say...

Answer:

more spicy mustard.

Step-by-step explanation:

cause he can make spicy ketchup with 6 ounces for 7 ounces of ketchup, he can make around 3.5... something number of batches with 150 oz.

But with the spicy mustard he is not only using less hot sauce but also  5 ounces of hot sauce for every 6 ounces of mustard makes around 5 batches ….

Luis can make more spicy mustard from 150 ounce of hot sauce.

A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations. Operators for basic arithmetic include:

Addition (+), Subtraction (-), Multiplication (×), Division (÷)

Given total ounce of hot sauce = 150 oz

hot sauce required for 7 oz of ketchup = 6 ounce

total ketchup made from 150 oz of hot sauce = 150/6 x 7

= 25 x 7 = 175 ounce

hot sauce required for 6 oz of mustard = 5 ounce

amount of spicy mustard is made from 150 oz of hot sauce = 150/5 x 6

= 30 x 6 = 180 ounce

Hence the spicy mustard can be produced more.

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Answer: \(\frac{6}{4}\)

Step-by-step explanation:

There are many different fractions that could be equivalent to 3/2. To find these fractions, you have to muriply or divide by the same number in the numerator and the denominator.

For example, its pretty common knowledge that \(\frac{1}{2}\) = \(\frac{2}{4}\). This is because you multiplied both the numerator and denominator by 2.

Lets choose a number to multiply for 3/2. It doesn’t really matter which number, as long as it is an integer, but I will choose 2.

The numerator (3) multiplied by 2 is 6, so our new numerator is 6.

Now, our denomintor (2) multiplied by 2 is 4, so our new denominator is 4.

Therefore, our new fraction which is equivalent to \(\frac{3}{2}\) Is \(\frac{6}{4}\).

Hope this helps! :)

The given function is

Let's evaluate the function when x = 10.

Answer:

the variance of the refund payment to the couple = 9463.394

Step-by-step explanation:

Given that :

A couple book a cruise to Alaska that promises to refund 100 per day of rain on the seven day cruise up to a maximum of 300.

It is possible that the couple won't be able to refund up 100 per day or more than 100 per day.

SO; let assume that the refund payment happens to be 0, 100,200,  300

Let X be the total refund payment on the seven day cruise.

We can say  X = 0, if there is no rain on all 7 days.

\(P(X = 0) = _nC_x * P^x * (1 - P)n-x\)

\(P(X = 0) = _7C_o * 0.2^0 * (1-0.2)^{7-0\)

\(P(X = 0) =1 * 1* (1-0.2)^{7\)

\(P(X = 0) =(0.8)^{7\)

\(P(X = 0) =0.2097152\)

If it rains on any one day; then X = 100

\(P(X = 100) = _nC_x * P^x * (1 - P)n-x\)

\(P(X = 100) = _7C_1 * 0.2^1 * (1-0.2)^{7-1\)

\(P(X = 0) =7 * 0.2* (1-0.2)^{6\)

\(P(X = 100) =7* 0.2* (0.8)^{6\)

\(P(X = 100) =0.3670016\)

if it rains on any two day  ; then X = 200

\(P(X = 200) = _nC_x * P^x * (1 - P)n-x\)

\(P(X = 200) = _7C_2 * 0.2^2 * (1-0.2)^{7-2\)

\(P(X = 200) = 21 * 0.2^2 * (0.8)^{5\)

\(P(X = 200) = 0.2752512\)

if it rains on any three day or more than that ; then X = 300

\(P(X \ge 300) = 1 - P(X < 300) \\ \\ P(X \ge 300) = 1 - [P(X = 0) + P(X = 100) + P(X = 200)] \\ \\ P(X \ge 300) = 1 - [0.2097152 + 0.3670016 + 0.2752512] \\ \\ P(X \ge 300) = 0.148032\)

Now; we have our probability distribution function as:

P(X = 0) = 0.2097152

P(X = 100) = 0.3670016

P(X = 200) = 0.2752512

P(X = 300) = 0.148032

In order to determine the variance of the refund payment to the couple; we use the formula:

variance of the refund payment to the couple\([Var X] =E [X^2] - (E [X])^2\)

where;

\(E[X^2] = \sum x^2 \times p \\ \\ E[X^2] = 0^2 * 0.2097152 + 100^2 * 0.3670016 + 200^2 * 0.2752512 + 300^2 * 0.148032 \\ \\ E[X^2] = 0 + 3670.016 + 11010.048+ 13322.88 \\ \\ E[X^2] =28002.944\)

\((E [X]) = \sum x * p\\ \\ (E [X]) = 0 * 0.2097152 + 100 * 0.3670016 + 200 * 0.2752512 + 300 * 0.148032 \\ \\ (E [X]) = 0 + 36.70016 + 55.05024 + 44.4096\\ \\ (E [X]) = 136.16 \\ \\ (E [X])^2 = 136.16^2 \\ \\ (E [X])^2 = 18539.55\)

NOW;

the variance of the refund payment to the couple = 28002.944 - 18539.55

the variance of the refund payment to the couple = 9463.394

Answer:

h = 80

Step-by-step explanation:

all work should be in the picture, lmk if theres anything confusing

Answer:

To find the angle of this triangle you have to \(cos^{-1}(\frac{4.87}{5.35})\). When you do this you will get 24 as the angle

Step-by-step explanation:

Hope this Helped

Given:

In triangle ABC, D is incenter m∠ACB = 3x + 54 and m∠ACD = x + 31.

To find:

m∠ACD.

Solution:

We know that,

Incenter of a triangle is the intersection point of all angle bisectors.

\(\angle ACD=\angle BCD\)      ...(i)

Now,

\(\angle ACB=\angle ACD+\angle BCD\)

\(\angle ACB=\angle ACD+\angle ACD\)       [Using (i)]

\(\angle ACB=2\angle ACD\)

Substitute the values, we get

\(3x+54=2(x+31)\)

\(3x+54=2x+62\)

\(3x-2x=62-54\)

\(x=8\)

The value of x is 8.

\(m\angle ACD=x+31\)

\(m\angle ACD=8+31\)

\(m\angle ACD=39\)

Therefore, the measure of angle ACD is 39 degrees.