(Score for Question 2:
of 6 points)
2. One-half of the fudge at the fudge shop on Monday morning contain nuts. Helena works at the fudge shop
and prepares 10 pounds of fudge containing walnuts to fulfill a special order Monday afternoon. With this
additional amount of fudge, there are at least 24 pounds of fudge containing nuts at the fudge shop on
Monday.
(a) Write an inequality that represents the scenario. Begin by defining your variable.
(b) Solve the inequality. Show your work.
(c) Fudge is packaged into 1-pound boxes. What is the fewest number of boxes of fudge at the fudge
shop Monday moming? Show your work.
Answer:

Answer:

celsius is 100 Fahrenheit is 42 kelvin is 30045

Answer:

10 units

Step-by-step explanation:

2 *  (18-2x)     =   9x-16

36 - 4x = 9x -16

52 = 13x

x = 4       then NO = 18-2(4) = 10 units

Answer: Choice D

Step-by-step explanation:

When we think of proportional relationships, we can think of ratios. The x and y value will be multiplied by the same ratio throughout the table to create equivalent points. The easiest way to do this is to turn the points into fractions and see if they all simplify to the first point, which in this case is 2/3.

4/6 / 2/2 = 2/3

6/9 / 3/3 = 2/3

8/12 / 4/4 = 2/3

2 is being added to the x value each time and 3 is being added to the y value each time. hope this helps!

The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.

Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.

On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.

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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.

this question is related to probability.

mutually exclusive

Mutually exclusive events are those events that do not occur at the same time.

For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.

probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

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The angle made by the ladder with the truck is 61.78°

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given that, The ladder of a fire truck is extended to reach a window of an apartment complex. The ladder is extended to a length of 55 feet and is attached to the truck bed which is 26 feet from the building.

The situation is creating a right triangle, hence, using trigonometric ratio,

Since, we know, the cosine of an angle is the ratio of adjacent side to hypotenuse.

Therefore, cosx = 26 / 55

x = cos⁻¹(26 / 55)

x = 61.78°

Hence, the angle made by the ladder with the truck is 61.78°

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Answer:

they are 8 seahorse.becauce even seahorse are fish

Answer:

Step-by-step explanation:

62.5% is edited

Answer:

2x-3y>-9

Step-by-step explanation:

Standard Form = Ax+By=C

2x-3y>-9 is already in standard form.

Hope this helps :)

The translation of the sentence to an equation is 9x - 3 =2

From the question, we have the following parameters that can be used in our computation:

Three less than the product of 9 and a number equals 2.

Represent the number with x

So, we have the following representation

Three less than the product of 9 and x equals 2.

The product of 9 and x means 9x

So, we have

Three less than 9x equals 2.

Three less than means -3

So, we have

9x - 3 equals 2

Lastly, we have

9x - 3 =2

Hence, the equation is 9x - 3 =2

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The length of the line segment WK for the triangle ∆WGN is equal to 13.52 rounded to the nearest hundredth.

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Considering the sine of the angle S in the right triangle ∆KSW, the angle m∠KSW = m∠HSR = 51°

line segments;

SW = SR + RW

SW = 3.6 + 13.5

SW = 17.4

sin 51° = WK/17.4 {opposite/hypotenuse}

WK = 17.4 × sin 51° {cross multiply}

WK = 13.5223

Therefore, the length of the line segment WK for the triangle ∆WGN is derived as 13.52 rounded up to the nearest hundredth, using the trigonometric ratio is sine.

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Answer:

5 is the *estimate*

The solution of the give inequality is n < 6

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is an inequality, 3-2(n-4) > -1

On solving, we get,

3-2(n-4) > -1

3-2n+8 > -1

-2n+11 > -1

2n-11 < 1

2n < 12

n < 6

Hence, the value of the inequality is n < 6

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The function is increasing on the open interval (0, 2Ï€) and decreasing on the open interval (-2Ï€, 0).

The derivative of a function tells us the slope of the function at any given point, and the sign of the derivative tells us whether the function is increasing or decreasing at that point. If the derivative is positive, the function is increasing at that point, and if the derivative is negative, the function is decreasing at that point.

The function f(x) = sin(x) + 9 is increasing on the interval (0, 2π) because the derivative of sin(x) is positive on this interval. The derivative of sin(x) is cos(x), which is positive for all values of x except for multiples of π.

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well, how much is 15% of 850?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 850}}{\left( \cfrac{15}{100} \right)850}\implies 127.5[/tex]

The length of the shadow when the sun altitude is 60 degrees is 8.7 feet.

The clock tower is 15 feet tall. The length of the shadow when the sun is at an altitude of 60 degrees can be calculated as follows:

This situation forms a right angle triangle.

Hence, using trigonometric ratios,

tan 60 = opposite / adjacent

where

opposite side = 15 feet

adjacent side = x

tan 60 = 15 / x

cross multiply

x tan 60° = 15

divide both sides by tan 60

x = 15 / tan 60

x = 15 / 1.73205080757

x = 8.65800865801

x = 8.7 feet

Therefore,

length of shadow = 8.7 feet.

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Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

4 (7 + 6)

4 x 13

1/5/2023

7:41PM

Answer: 4*(7+6), 4*7+4*6.

Step-by-step explanation:

The GCF, or greatest common factor, of 28 and 24, is 4.

So, what you would do is 4*(28/4+24/4)

You would get, 4*(7+6), 4*7+4*6.

The ratio of free throws made to attempts in fractional form for both players are 1:1.2 and 1:1.1 respectively, the two ratios are not proportional

Ratio can be defined as the proportion of a number which can also be written as a fraction. On the other hand ratios show how many times a number is contained in another number.

The given  numbers are

The ratios are

Michael = 7327:8772  = 1:1.2

Larry  - 3960:4471  = 1:1.1

To know if they are proportional

1/1.2 ≠1/1.1

In conclusion, from the calculations, the two ratios are not  proportional

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Answer:

i don't sir

Step-by-step explanation:

We can multiply both the numerator and denominator by 12.5 to get the equivalent fraction:

5/8 = 62.5/100

We want to rewrite 5/8 as an equivalent fraction with a denominator of 100.

Remember that if we multiply both the numerator and denominator of a fraction by the same number, then we will get an equivalent fraction.

So if that number is x, we can write:

5/8 = (5*x)/(8*x)

First, we want a denominator of 100, then the value of x must be such that:

8*x = 100

x = 100/8

x = 12.5

Then the equivalent fraction is:

(5*12.5/8*12.5) = 62.5/100

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Answer: 1850 yd

Step-by-step explanation:

3 feet is equal to 1 yard.

Divide 5550 by 3 to get 1850

If probability  each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.

P(Sickle-cell Anemia)

= 0.25

P(Cystic Fibrosis)

= 0.25

P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.25 + 0.25

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.5

The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.

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Answer:

Chapter books 300

Step-by-step explanation:

I think that you are saying that there are a total of 500 books and how many are chapter books.

The ratio would be

[tex]\frac{chapter books}{total books}[/tex] = [tex]\frac{chapter books}{total books}[/tex]

The ratio is 2:3 for the total would be 5 (2+3)

[tex]\frac{3}{5}[/tex] = [tex]\frac{x}{500}[/tex]

5 x 100 = 500

3 x 100 = 300

Considering the definition of parallel line, the equation for a line parallel to y=−3x−5 and passing through the point (2,-10) is y=-3x-4.

A linear equation o line can be expressed in the form y = mx + b

where

Parallel lines are two lines that are always at the same distance from each other.

Two lines are parallel if they have the same slope m and different y-intercepts b.

The line is y= -3x -5

where

If two lines are parallel if they have the same slope, the parallel line has a slope of -3.

The line passes through the point (2, -10). Then:

-10= -3× (2) + b

-10=  -6+ b

-10 + 6= b

-4 = b

Finally, the equation of parallel line is y= -3x - 4.

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Answer:

23

coefficient is the number multiplied by a variable

Answer:

To find the volume of the gas at a pressure of 0.40 atm if the temperature is held constant, we can use the ideal gas law:

PV = nRT

Where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature of the gas.

Since the number of moles and the temperature of the gas are constant, we can rearrange the equation to solve for V:

V = (nRT)/P

Plugging in the given values, we have:

V = (nRT)/P = (nRT)/(0.40 atm)

We know that the original volume of the gas was 0.50 L, so the new volume will be:

V = (0.50 L)(0.20 atm)/(0.40 atm) = 0.50 L / 2 = 0.25 L

So the volume of the gas at a pressure of 0.40 atm will be 0.25 L. The correct answer is A) 0.25 L.

Answer:

A) 0.25 L

Step-by-step explanation:

Use Boyle's Law:

[tex] P_1V_1 = P_2V_2 [/tex]

[tex] 0.20~atm \times 0.5~L = 0.40~atm \times V_2 [/tex]

[tex] V_2 = \dfrac{0.20~atm \times 0.5~L}{0.40~atm} [/tex]

[tex] V_2 = 0.25~L [/tex]

Answer: ahh.

Step-by-step explanation:

If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.

Using the unitary approach, an issue can be resolved by first figuring out the value of a single unit, then multiplying that value by the number of units needed to solve the problem. The unitary technique is sometimes useful for multiplying and dividing by fractions because it makes sense immediately and can be done mentally if the numbers add up. This makes it a good method for defending or explaining frequently employed written fractional algorithms, like division by a fraction. The unitary technique has a formula that involves finding the value of a single unit, multiplying it by the quantity of units, and then finding the desired value.

given

For his 10-gallon punch, Matt uses gallons of orange juice, which adds up to 3x=3*2 = 6.

Using the formula Jan uses gallons of orange juice to create 10 gallons of punch and Matt uses gallons of orange juice to make 10 gallons of punch, we can calculate that Jan uses 2 gallons more orange juice than Matt.

If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.

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Answer:

62.2%

Step-by-step explanation:

0.622 x 100 = 62.2%

Answer:

No, because (6,4) is on the line.

Step-by-step explanation:

Inequality given is y > -1/2x + 7

Point given is (6, 4)

Substitute the x coordinate and y coordinate into the equation

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

(Statement is False, hence inequality does noit hold)

First part of the answer is No

Since both the left and right side of the inequality is the same at 4, the point (6,4) lies on the line.

Hence, second part is because (6, 4) is on the line.