proportional escape room puzzle two

Answer:

C

Step-by-step explanation:

The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35

Answer:

x = 5

Step-by-step explanation:

11x - 4 + 20x = 151

31x - 4 = 151

31x - 4 + 4 = 151 +4

31x = 155

31x/31 = 155/31

x=5

The implicit meaning of this passage is that Nick and Arif are acquaintances who have bumped into each other at the grocery store.

Nick takes the opportunity to ask Arif a favor, which is to feed his dogs while he and Ali are out of town. Arif agrees to the request without hesitation, which implies that he is a trustworthy and reliable person. The fact that Arif asks what time he should stop by Nick's house suggests that he is willing to go out of his way to ensure that Nick's dogs are taken care of properly. Overall, the passage highlights the importance of having friends or acquaintances who are willing to help out in times of need and the value of being able to rely on others in our daily lives.

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Answer:

D - 353.7

Step-by-step explanation:

Edge 2020

Answer:

option d

Step-by-step explanation:

edge 2023

Liam made a drink by mixing 3 parts of lemon juice and 4 parts of water. The ratio of lemon juice to the total mixture is 3:7, so Liam made 3 parts of lemon juice.

In the given mixture, Liam mixed 3 parts of lemon juice and 4 parts of water. The ratio of lemon juice to the total mixture is determined by dividing the number of parts of lemon juice by the total number of parts in the mixture. In this case, the total number of parts in the mixture is 3 + 4 = 7.

To find the ratio of lemon juice, we divide the number of parts of lemon juice (3) by the total number of parts (7):

Ratio of lemon juice = 3 parts / 7 parts

Simplifying this ratio, we find that Liam made 3 parts of lemon juice out of a total of 7 parts in the mixture.

Therefore, Liam made 3 parts of lemon juice for the drink he prepared.

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Answer:

multiply by 12 and would serve 18 people

Step-by-step explanation:

I did a test for it

Answer:

We multiplied the original recipe by 3/2 or 1 1/2, the new recipe will serve 18 people.

Step-by-step explanation:

to get 1 to 3 you multiply it by 3 and to get 4 to 8 you multiply it by 2 so you end up with 3/2 or 1 1/2

Answer:

5/3 would be the answer

Answer: \(x=-\frac{1}{2}, y=\frac{9}{2}\)

Step-by-step explanation:

\(5x+7=7x+8\\\\2x=-1\\\\x=-\frac{1}{2}\\\\\implies y=5\left(-\frac{1}{2} \right)+7=\frac{9}{2}\)

Answer:

y = 5x + 7 ---1

y = 7x + 8 ---2

Substitute either one of the equations into the other.

I will substitute 1 into 2.

5x + 7 = 7x + 8

Simplify and solve for x.

2x = -1

x = -1/2

Substitute x into either one of the equations to find y.

I will substitute x into 1.

y = 5(-1/2) + 7

= 9/2

Hence, x = -1/2, y = 9/2

Answer:

3/14, 3/20, 1.2, 1.875

Step-by-step explanation:

31. 6/7÷4 is 1.5/7 and then 3/14

32. 3/10 is 1.5/10 then 3/20

33. 2/5÷1/3 is equal to 2/5x3/1 or 6/5 then 1.2

34. Write as improper fractions 5/2÷4/3 which is then 5/2x3/4=15/8=1.875

Answer: Its a compound-complex

Step-by-step explanation: the dependent is we go down together, the independed is if we go down

Sum of angles at 5 corners of a polygonal path abcdea is 360 degrees (assuming convex polygon).

What is vector ?

Vector is a term that refers colloquially to some quantities that cannot be expressed by a single number, or to elements of some vector spaces.

The sum of the angles at the corners of a polygon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon. In this case, n = 5, so the sum of the angles at the corners is (5-2) * 180 = 360 degrees.

However, this assumes that the polygon is convex. Since abcde is not a convex pentagon, need to calculate the angles at each corner separately.

The angle between two lines can be calculated using the dot product formula:

cos(θ) = (u⋅v) / (||u|| * ||v||)

where u and v are the vectors representing the lines, and ||u|| and ||v|| are their magnitudes. The angle θ is between 0 and 180 degrees.

For example, to find the angle between the lines ab and bc,use the vectors b-a and c-b:

cos(θ) = (b-a⋅c-b) / (||b-a|| * ||c-b||)

Sum of angles at 5 corners of a polygonal path abcdea is 360 degrees (assuming convex polygon).

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The sum of these five numbers is 66.59 degrees.

To find the sum of the angles turned at each corner, we need to find the angle between each pair of adjacent sides.

First, we find the slope of the line segment between each pair of points:

AB: slope = (2-0)/(7-0) = 2

BC: slope = (4-2)/(3-7) = -2

CD: slope = (7-4)/(3-3) = 3

DE: slope = (5-(-1))/(-1-3) = -6

EA: slope = (0-5)/(0-(-1)) = 5

Next, we find the angle between each line segment using the inverse tangent function (atan).

AB: angle = atan(2) = 63.43 degrees

BC: angle = atan(-2) = -63.43 degrees

CD: angle = atan(3) = 71.57 degrees

DE: angle = atan(-6) = -84.97 degrees

EA: angle = atan(5) = 79.56 degrees

Adding up all the angles, we get:

63.43 + (-63.43) + 71.57 + (-84.97) + 79.56 = 66.59 degrees

So the sum of the five angles is 66.59 degrees.

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Answer:6

Step-by-step explanation:

The constraints as a system of linear inequalities include the following;

x + y ≤ 180

x ≥ 40

y ≥ 40

3x + 4y ≤ 640

75x + 60y ≤ 12,900

The solution set for the system of linear inequalities is shown in the coordinate plane below.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of SOS Smartcall produced in one day and number of SOS Basic produced in one day respectively, and then translate the word problem into algebraic equation as follows:

Based on the information provided about this cell phone company, the constraints can be written as a system of linear inequalities as follows;

x + y ≤ 180

x ≥ 40

y ≥ 40

3x + 4y ≤ 640.

75x + 60y ≤ 12,900

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For a function of the form:

Where:

A = Amplitude

b = Angular frequency

The period is given by:

Therefore:

Answer:

107

Step-by-step explanation:

5x⁶-3x²+7-2x⁶-3x⁶+4x²

= x²+7 (terms with x⁶ cancels out)

= (-10)²+7

= 100+7

= 107

Answer:

x > -2

Step-by-step explanation:

The line on the graph points toward the right, so it would be a greater than sign ( > ). The sign is underlined because the line dot is filled in. If it wasn't filled in, it would not be underlined

The point on the line starts at negative 2.

hope this helps :)

It will take them 2 hours to crash into each other. The two boys are standing 30 miles apart and are both going to start cycling towards each other at the same time. They are traveling at a constant speed of 15 miles per hour.

Since they are traveling towards each other, the total distance they will cover is the sum of the distances they each travel.
To find the time it takes for them to crash into each other, we can use the formula:
Time = Distance / Speed
The total distance they need to cover is 30 miles, and their speed is 15 miles per hour.
Time = 30 miles / 15 miles per hour = 2 hours
Therefore, it will take them 2 hours to crash into each other.

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The type of dinner in which the value of its contribution to the appropriate test statistic is the greatest is E) Vegetarian

This refers to the derived statistic that is used in the statistical hypothesis testing in an experiment with a sample.

Hence, we can see that from the complete question, there is the tracking of dinner types by the manager and he compares the change in distribution from last year.

He finds that if each order is independent, then the type of dinner which is the value of its contribution to the appropriate test statistic the greatest is vegetarian meals.

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Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

Answer:

b (x+4)

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

12 times 19 equals 228 final answer 228

Answer:

x = 2

y = 5

Step-by-step explanation:

when you think of how many times 5 can go into 10 it is 2

then think of how many times 2 can go into 10 which is 5

then you add the two and it equals 20$

Answer:

x = 4

Step-by-step explanation:
1.Distribute

2. Subtract 2 from both sides
3. Simplify
4. Divide both sides by same factor

5. Simplify
x = 4

Answer: 4

Step-by-step explanation:

We have to try getting x by itself to solve for it. Since we have two sides that are equal to each other, we can add, subtract, multiply, and divide anything on both sides to try to isolate x.

\(2(x+1)=10\)

We can first divide the left side and the right side by 2. This would remove the 2 being multiplied on the outside.

\(\frac{2(x+1)}{2}=\frac{10}{2}\\x+1=10\div 2\\x+1=5\)

Now, we have a + 1 on the left side that we need to remove to get x by itself. If we are adding something, we can remove that by subtracting the same thing. Hence, we can subtract 1 from both sides to remove the + 1.

\(x+1=5\\x+1-1=5-1\\x+0=4\\x=4\)

After all that simplifying, we get that x equals 4.

Answer:

x = 3

Step-by-step explanation:

Given

3x + 6x + 14 = 41, that is

9x + 14 = 41 ( subtract 14 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Answer:

x=3

Step-by-step explanation:

3x+6x+14=41

9x + 14 = 41

    - 14 = - 14

9x = 27

x=3

what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates ​

to know the decimal form, just make the division

Step 1

every time you divide you will have a residual number (1),

so

100=(33*3)+1

when you divide the 1 by 3, you will have

1=(3*0.3)+0.1

and

10=3*3 +1

,so the 3 will repeat forever

Step 2

so the decimal form of 100/5 is 20

Step 3

when you divide 100 by 6 you have

I hope it helps you.

The equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

To find rs and st, we need to write an equation in terms of x using the given information and then solve for x.

Let's suppose that rs and st are two line segments, and x represents the length of rs. To find the lengths of rs and st, we can set up an equation based on the given information.

From the problem, we know that the length of st is three times the length of rs. This can be expressed as:

st = 3 * rs

Additionally, the total length of rs and st is 32 units. Mathematically, this can be represented as:

rs + st = 32

Now, we can substitute the value of st from the first equation into the second equation:

rs + 3 * rs = 32

Simplifying this equation, we have:

4 * rs = 32

To solve for rs, we divide both sides of the equation by 4:

rs = 32 / 4

rs = 8

Hence, we have found that rs is equal to 8 units.

To find the length of st, we can substitute the value of rs into the first equation:

st = 3 * rs

st = 3 * 8

st = 24

Therefore, the length of st is 24 units.

In summary, the equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

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To evaluate dy for the given values of x and dx, we can use the formula:

dy = (∂y/∂x)dx

Where (∂y/∂x) represents the partial derivative of y with respect to x.

First, let's find the partial derivative of y with respect to x: ∂y/∂x =\(√3(2x)/2 = √3x\)

Now we can plug in the given values of x and dx into the formula to find dy: dy = \((√3x)(-0.1) = -0.1√3\)

Therefore, when x = 1 and dx = -0.1, the value of dy is \(-0.1√3.\)

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The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Solution:

Solution:

How to find the diameter of the ball?

Remember that for a sphere of diameter D, the surface area is:

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

By substituting the values of A=50 in the formula below, we will have

Hence,

Since the company wants to spend a maximum $1,

The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).

Hence,