Map Distance Between Black Body and Cinnabar 0/1 point (graded) Based on these results, what is the map distance in cM between black body and cinnabar?

Answer:

2x+2y=x+5

(move the x next to the 2y)

= 2x+2y-x=5

(the x is negative because i moved it)

(collect the like terms)

= x+2y=5

(so the answer is...)

x+2y=5

2.25 cups of rice is needed for a cup of water

From the question, we are told that a rice dish requires 1/3 cups of rice for every 3/4 cups of water. This can be expressed as:

1/3 cups of rice = 3/4 cups of water

For a cup of water;

x = 1 cup of water

Divide both expressions

1/3x = 3/4

Cross multiply

9x = 4

x = 9/4

x = 2.25

Hence 2.25 cups of rice is needed for a cup of water

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The minimum dimensions of the rectangle are 6cm and 19 cm

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l + w)

Such that the parameters of the formula are;

From the information given, we have that;

Perimeter of the rectangle is = 50 centimeters

length of the rectangle = 3w - 1

Substitute the values

50 = 2(3w + 1 + w)

expand the bracket

50 = 2(4w + 1)

50 = 8w + 2

collect like terms

8w = 548

w = 6 centimeters

Length = 19 centimeters

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Answer:

c!

Step-by-step explanation:

The question is an example of theoretical probability, since it does not involve actually selecting marbles from the bag, while empirical probability is based on actual observations or experimental data.

Theoretical probability is the probability of an event based on mathematical analysis or reasoning, without actually performing an experiment or collecting data.

Here given question is an example of theoretical probability.

Theoretical probability is the probability of an event based on a theoretical or mathematical calculation, without actually performing an experiment or collecting data. In this case, we can calculate the probability of choosing a blue marble by dividing the number of blue marbles (8) by the total number of marbles;

the total number of marbles in the bag = 7 + 8 + 9 = 24

P(Blue) = 8/24 = 1/3

This calculation is based on theoretical probability, since it does not involve actually selecting marbles from the bag to determine the proportion of blue marbles. In contrast, empirical probability is based on actual observations or experimental data.

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Answer:multiply base times height

Step-by-step explanation:

V=lwh

V=bh

lw=V

Answer:

n = -8, 7

Step-by-step explanation:

Your equation is:

\(\displaystyle{n^2+n=56}\)

Arrange the terms in the quadratic expression, ax² + bx + c:

\(\displaystyle{n^2+n-56=0}\)

Factor the expression, thus:

\(\displaystyle{\left(n+8\right)\left(n-7\right)=0}\)

This is because 8n-7n = n (middle term) and 8(-7) = -56 (last term). Then solve like a linear which results in:

\(\displaystyle{n=-8,7}\)

Hello!

\(\sf n^2 + n = 56\\\\n^2 + n - 56 = 0\\\\\\n = \dfrac{-b\±\sqrt{b^2-4ac} }{2a} \\\\\\n = \dfrac{-1\±\sqrt{1^2-4*1*(-56)} }{2*1}\\\\\\n = \dfrac{1\±15}{2} \\\\\\\boxed{\sf n = 7 ~or ~-8 }\)

Answer:

-132

Step-by-step explanation:

Let's say the number is x

10 more than x = -122

Convert from word form to numerical form

x + 10 = -122

Minus 10 on both sides

x = -132

The answer is -132

Hope this helps :)

Have a spectacular day!

The unknown number is -132.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is ten more than a number is -122.

Let the unknown number be x.

Now, x+10=-122

x=-122-10

x=-132

Therefore, the unknown number is -132.

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60  different words can be formed from the letters in the word BANANA.

Number of letters in BANANA= 6

where, A is repeated 3 times and N is repeated 2 times.

The formula for repeating letters is;

Factorial of total number of letters / Factorial of number of letters repeated.

Thus total permutations = 6! / (2!*3!)

                                         = 60

Therefore, 60 words can will be formed using the letters of BANANA.

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For the given sides AB and BC the angle included would always be Angle B

When we form a triangle we name the vertex as A, B and C. So, the sides AB and BC will always have an Angle B regardless of the naming convention we use.

A triangle is a polygon with three vertices and three edges that has three sides. It is a basic geometric shape. The term "abc" refers to a triangle containing the vertices a, b, and c. Any three non-collinear points in Euclidean geometry combine to create a singular triangle and a singular plane.

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The utility of a payoff of 75 for decision maker b is u(75) = 8.5.

What is utility?

Utility is an abstract concept that is used to measure the satisfaction or happiness that a consumer gets from consuming a good or service. It is a measure of the worth or value that an individual assigns to a good or service. Utility can be quantified using different methods, including cardinal, ordinal, and interval approaches.

What is a payoff?

A payoff is the amount of money or reward that a player receives for participating in a game or contest.

It is the net benefit or return that a player gets from an investment or action. The payoff is used to motivate players to take a certain action or decision.

What is the utility of a payoff of 75 for decision maker b?

Given that u(100) = 10 and u(0) = 0, we can use the utility function to determine the utility of a payoff of 75 for decision maker b. The utility function is given as:u(x) = 1/2 ln (x + 1)We can use this function to calculate the utility of a payoff of 75 as follows:u(75) = 1/2 ln (75 + 1) = 8.5Therefore, the utility of a payoff of 75 for decision maker b is u(75) = 8.5.

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

All the answers are correct, but the 5th one is wrong, the correct answer for the 5th question is y = 6.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The answer of 5th question,

The given expression is,

(5y - 3)/63 = 9/21

105y -63 = 567

105y = 630

y = 630/105

y = 6.

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Answer:

a) 5xy + 9yz + 3zx + 5x - 4y

Step-by-step explanation:

→ (7xy + 5yz - 3zx) + (4yz + 9zx - 4y) + (-3xz + 5x - 2xy)

→ (7xy - 2xy) + (5yz + 4yz) + (-3zx + 9zx - 3xz) + (5x) + (-4y)

→ 5xy + 9yz + 3zx + 5x - 4y

Hence, option (a) is the correct answer.

Answer:

\(\textsf{A)}\quad \sf 5xy+9yz+3zx+5x-4y\)

Step-by-step explanation:

Given expression:

\(\sf (7xy+5yz-3zx)+(4yz+9zx-4y)+(-3xz+5x-2xy)\)

Remove the parentheses:

\(\implies \sf 7xy+5yz-3zx+4yz+9zx-4y-3xz+5x-2xy\)

Collect like terms:

\(\implies \sf 7xy-2xy+5yz+4yz+9zx-3zx-3xz+5x-4y\)

Combine like terms:

\(\implies \sf (7-2)xy+(5+4)yz+(9-3-3)zx+5x-4y\)

\(\implies \sf 5xy+9yz+3zx+5x-4y\)

Answer:

5

Step-by-step explanation:

5 courses worth 4 credits have Diego completed. Therefore, option B is the correct answer.

We need to find how many courses worth 4 credits has Diego completed.

In mathematics, a system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought common solutions. A system of equations can be classified in a similar manner as single equations.

Now, let the courses worth 3 credits be x and the courses worth 4 credits be y.

Now, in total Diego completed 18 courses

That is, x+y=18 ------(I)

Diego has earned a total of 59 credits

So, 3x+4y=59 ------(II)

Multiply the equation (I) by 3, that is 3x+3y=54 ------(III)

Now, subtract the equation (III) from (II) and simplify.

That is, 3x+4y-(3x+3y)=59-54

⇒y=5

Substitute y=5 in the equation (I) and simplify

That is, x=13

Therefore, 5 courses worth 4 credits have Diego completed.

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0.76 is 0.01 greater than 0.75.

Step-by-step explanation:

0.75+x=0.76

x=0.76-0.75

x=0.01

In percent

0.01/0.76 * 100%

1.32%

The decimal number 0.75 is -0.01 more bigger than the decimal number 0.76.

Given are two decimal numbers:

0.75 and 0.76

It is required to find how much bigger is the decimal number 0.75 compared to that of 0.76.

For that, the operation of subtraction has to be done.

Here, the number which is considered bigger is 0.75. So, the number from which the other number has to be subtracted is 0.75.

So, subtract 0.76 from the decimal number 0.75.

0.75 - 0.76 = -(0.76 - 0.75)

                  = -0.01

Hence, the decimal number, 0.75 is -0.01 more bigger than 0.76.

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Step-by-step explanation:

9 4/5. Step-by-step explanation: 7 1/2 + 2 3/10 = 9 8/10 = 9 4/5. klondikegj and 1 more users found this answer helpful. Thanks 1.

When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.

If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.

Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.

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Answer:

16 hrs

Step-by-step explanation:

per hour she gets 72.50 / 5 or 14.50

so t * 14.5 = 232

t  = 232 / 14.5

t = 16 hours

Answer:

x = -6

y= 1

Step-by-step explanation:

make one of the variables equal to each other

4(2x+3y) = -9

3(-x+4y) = 10

subtract

8x+12y = -36

- -3x+12y =30

----------------------

11x = -66

x = -6

plug back in to find y

8(-6)+12y = -36

12y= 12

y = 1

Answer:

11

Step-by-step explanation:

7 8 11 15

median (8+11)/2=19/2=9.5

Based on the quadrilaterals which have been defined as a parallelogram,

(1)

MN = 31

KN = 45

m∠K = 61°

m∠L = 119°

m∠M = 61°

(2)

CF = 10

FE = 15

CE = 14

GD = 11;

(3)

QR = 19

SR = 24

PT = 21

SQ = 20

m∠QRS = 74°

m∠PQS = 49°

m∠RPS = 39°

m∠PSQ = 57°

(1)
MN = KL = 31 (opposite sides of a parallelogram )

KN = ML = 45 (opposite sides of a parallelogram )

m∠K = 61° -  the adjacent angles of a parallelogram are supplementary.

m∠K = 180 -119

m∠K = 61°

m∠L = m∠N = 119° Opposite angles of a parallelogram are equal

m∠M = m∠K = 61° Opposite angles of a parallelogram are equal

(2)

CF = DE = 10 Opposite sides of a parallelogram are equal

FE = CD = 15

CE = 2 × CG = 2 × 7 = 14

GD = 0.5 × FD = 0.5 × 22 = 11; Diagonals of a parallelogram bisect each other

(3)

QR = PS = 19

SR = PQ = 24

PT = 0.5 × PR = 0.5 × 42 = 21

SQ = 2 × TQ = 2 × 10 = 20

m∠QRS = 180 - m∠PQR = 180° - 106° = 74° Adjacent angles of a parallelogram are supplementary

m∠PQS = m∠QSR = 49°; Alternate angles theorem

m∠RPS = m∠PRQ = m∠QRS - m∠PRS = 74° - 35° = 39°

m∠PSQ = m∠SQR = m∠PQR - m∠PQS = 106° - 49° = 57°

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Although part of your question is missing, you might be referring to this full question: See attached image.

Right triangle side lengths can be achieved in a few different ways. You can utilise various relationships or laws to discover the remaining side depending on what is offered.

Presented with two sides

The simplest way is to use the Trigonometry if you are aware of two additional right triangle sides:

a² + b² = c²

If leg an is the omitted side, change the equation such that an is still on one corner and compute the scale factor of that number:

a = √(c² - b²)

Leg b is equal to (c2 - a2) if foot b is unknown.

The formula for a deficient hypotenuse is c = (a2 + b2).

A right triangle has one symmetry boundary line if it is isosceles, meaning that its two different sides have an identical length. Otherwise, the triangle won't have any symmetries lines.

However, not all right-angled triangles are identical. If all of their angles have the same length as well as the relation of two among their angles is the same, then they are similar.

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Answer:

the answer is 16 hahaha

If the car's speed is 65 kilometres per hour, then the bus' speed may be 75 kilometres per hour.

How to find the distance travelled by an object?

The distance travelled by an object in a specified direction is velocity×time.

if the car's speed is 65 kilometres per hour then in 2 hours it will travel a distance of 65×2 kilometres.

65×2=130 kilometres

if the bus' speed is 75 kilometres per hour then in 2 hours it will travel a distance of 75×2 kilometres.

75×2=150 kilometres

So, after 2 hours the distance between the two vehicles will be 130+150= 280 kilometres

which is less than 350 kilometres.

Hence, it is possible that if the car's speed is 65 kilometres per hour then the bus' speed is 75 kilometres per hour.

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The minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.

In this target game, Malia needs to have the lowest mean distance of all throws to win. The mean distance is calculated by adding up all the distances and dividing by the number of throws.

First, we need to calculate the mean distance of Malia's first 7 throws.

Mean distance = (2 + 3 + 4 + 2 + 5 + 3 + 4) / 7 = 3.14

Now, we know that Malia's mean distance must be less than 3.14 to win the game. Let's call the distance of her last throw x.

The mean distance of all 8 throws will be: (2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8

To find the minimum distance that Malia needs on her last throw to win the game, we can set up an inequality:

(2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8 < 3.14

Multiplying both sides by 8 gives us:

2 + 3 + 4 + 2 + 5 + 3 + 4 + x < 25.12

Simplifying gives us:

x < 25.12 - 23

x < 2.12

Therefore, the minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.

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The value of the building is $600,000 at 8% capitalization rate.

An item is capitalized when it is recorded as an asset, rather than an expense. This means that the expenditure will appear on the balance sheet, rather than on the income statement. The capitalization rate can be determined as

CR = Net Income / Price

where CR is Capitalization Rate

From the text above, we know that:

CR 1 = 6%

Price 1 = $800,000

CR 2 = 8%

As we know that capitalization rate is inversely proportional with price, Then

CR1 / CR2 = Price 2 / Price 1

6% / 8% = Price 2 / $800,000

Price 2 = $600,000

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The personal banker given lending arrangement, the APR for your cousin's buddies who borrowed $20 and repaid $40 at the end of the month would be 120%

The annual percentage rate (APR) for your cousin's lending arrangement,  to make a few assumptions. That each lending transaction occurs on the first day of the month and is repaid on the last day of the same month. Based on these assumptions, calculate the effective APR as follows:

Calculate the interest charged for a $20 loan over one month:

Interest = $40 (repaid amount) - $20 (loaned amount) = $20

Divide the interest by the loan amount and multiply by 100 to get the monthly interest rate:

Monthly Interest Rate = (Interest / Loan Amount) ×100 = ($20 / $20) ×100 = 100%

Multiply the monthly interest rate by 12 to obtain the annual interest rate:

APR = Monthly Interest Rate ×12 = 100% ×12 = 120%

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Answer:yes 1 =-1

Step-by-step explanation:

Gray gob you are correct