1. observe the following tables and find if x and y are directly proportional:

Give answer plzz​

Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

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Answer:

Step-by-step explanation:

the awnser is cerrot.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Amount Noah borrowed from his mother = $17

Amount paid = $8

Change in the amount of money Noah's mother has :

Let initial amount her mother has = x

Hence, the amount she has after Noah paid $8 to her will be :

Initial amount - amount borrowed + amount paid

= x - $17 + $8.

The simplified amount = x - $9

The amount Noah still owes :

Total amount owed - amount paid

$17 - $8 = $9

The change in the amount of money that Noah's mother will be $ 9.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.

Then the amount owed will be given as the difference between the initial amount and paid amount.

→ $ 17 - $ 8

→ $ 9

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Answer:

2 is the correct answer

Step-by-step explanation:

As Ethan already has $800 in his savings account and deposits an additional $25 in it the first part should be 800+25x

now secondly Faith has $1280 in her savings account and withdraws meaning she takes $15 from here account so the second part should be 1280-15x

now lastly it says write and equation to show after how many months will Ethan's account have a GREATER balance than Faith's account.

which means the sign should be greater on Ethan's side which is 800+25x

where x represents the number of months.

Answer:

0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

The solution is, as a decimal​ of 55.5% is, 0.555

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

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Answer: 1.875 is a rational number because it can be represented as a ratio or a fraction.

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

Step-by-step explanation:

X=-x^2+x-5

The probability of success is 1/5. The solution has been obtained by using probability.

What is probability?

In order to calculate the chance of an event, the mathematical notion of probability is used. It only enables us to estimate the likelihood that an event will take place. On a scale of 0 to 1, with 0 representing impossibility and 1 representing a specific occurrence.

We are given that a d10 dice is rolled.

The sample space will be

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

It is given that a player succeeds at an action if a 9 or 10 is rolled.

Probability of getting 9 or 10 = 2/10

Probability of getting 9 or 10 = 1/5

Hence, the probability of success is 1/5.

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16.3 degrees is the angle that the ramp makes with the ground.

Draw a diagram: Draw a right-angled triangle with the ramp as the hypotenuse, the height of the truck as one of the other sides, and the horizontal distance from the bottom of the ramp to the truck as the other side.

Use trigonometry: We can use the trigonometric function tangent to find the angle the ramp makes with the ground. tan(theta) = opposite/adjacent = height of truck/horizontal distance

Let's substitute the given values:

tan(theta) = 6/21

Solve for theta: We can use the inverse tangent function to solve for theta.

theta = tan^-1(6/21)

theta ≈ 16.3 degrees

Therefore, the angle that the ramp makes with the ground is approximately 16.3 degrees.

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Answer:

A.

Step-by-step explanation:

It's false

Answer:

Step-by-step explanation:

y = -3x / 4 + 9

Answer:

D

Step-by-step explanation:

For example,

5×7-10>20

5(-3)-10<15

The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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Answer:

x is -3.5

Step-by-step explanation:

the steps are shown in the picture attached

The answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

We can solve this problem using the hypergeometric probability distribution. The hypergeometric distribution is used when we have a finite population and we want to calculate the probability of drawing a certain number of objects of a specific type without replacement.

In this case, the population consists of 8 marbles, one of which is blue. We want to calculate the probability of drawing the blue marble twice when we draw 5 marbles without replacement. The number of ways to choose 5 marbles out of 8 is given by the binomial coefficient:

C(8,5) = 56

The number of ways to choose the blue marble twice and the other three marbles from the remaining 7 is:

C(1,2) * C(7,3) = 35

Therefore, the probability of drawing the blue marble twice is:

P = 35/56 = 0.625.

The closest answer choice to this probability is 0.196. Therefore, the answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

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The average amount of error in the regression line's predicted rotten tomato ratings is typically represented by the root mean squared error (RMSE).

The average amount of error in the regression line's predicted rotten tomato ratings is typically described by the root mean squared error (RMSE). RMSE is a common metric used to evaluate the accuracy of a regression model's predictions. It represents the square root of the average squared differences between the predicted values and the actual values.

By calculating the RMSE for the regression line's predicted rotten tomato ratings, you can determine the average amount of error in those predictions.

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Answer:

All the expressions that have a negative in the radical

(Boxes 2, 3 5, and 6)

Step-by-step explanation:

You can't take the square root of a negative number. When you square a number, the product will always be positive.

Hope this helps!

When N = 3 and n = 4, the value of \(N^2 + n^2\)  is 25.

The expression \(N^2 + n^2\) represents the sum of the squares of two variables, N and n.

To simplify this expression further, we need more information or context about the variables.

Are N and n specific numbers or variables representing unknown quantities:

If N and n are specific numbers, we can substitute their values into the expression and perform the calculations.

For example, if N = 3 and n = 4, we have:

\(N^2 + n^2 = 3^2 + 4^2 = 9 + 16 = 25\)

Therefore, when N = 3 and n = 4, the value of \(N^2 + n^2\)  is 25.

However, if N and n are variables representing unknown quantities, we cannot simplify the expression further without more information or additional equations.

We can only express the sum of their squares as \(N^2 + n^2.\)

If you provide more context or information about the variables N and n, such as any relationships or constraints between them, I can help you further simplify or analyze the expression.

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Answer:

yea lol

Step-by-step explanation:

Answer:

1/10 does terminate. 1/10 in decimal form is .1

Step-by-step explanation:

10 combinations of two parts can be selected.

Combination is defined as the number of arrangements in a collection of items where the order of selection does not matter.

denoted by C(n,x)= ⁿcₓ=\(\frac{n!}{(x!)(n-x)!}\)  ,

where n is the total number of elements in the set.

x is the number of selected objects.

According to the Question

Total number of elements = 5 = n

Number of objects to be selected = 2 = x

Substituting the values in the above formula

C(5,2)=\(\frac{5!}{2!*3!}\)

\(=\frac{5*4*3!}{2*3!} \\ \\ =\frac{20}{2} \\ \\ =10\)

Therefore , 10 combinations of two parts can be selected.

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Answer:

The decimal number system in use today was first recorded in Indian mathematics.

Step-by-step explanation:

In the classical period of Indian mathematics (400 AD to 1200 AD), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today was first recorded in Indian mathematics.

Answer:

Decimal point system.

Step-by-step explanation:

Answer:

try 2+2 that should work

If the owner's beliefs are correct,  the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.

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To find the water-level height (feet) as a function of time (hours), we need to know the volume of the pool and how much water is being pumped in per hour.

The volume of the rectangular pool can be found by multiplying its length, width, and height:

Volume = Length x Width x Height

Since we know the dimensions of the pool are 20 feet by 10 feet, we can assume the height is 5 feet (half the length of the pool).

Volume = 20 ft x 10 ft x 5 ft = 1000 cubic feet

This means the pool can hold 1000 cubic feet of water.

If 50 cubic feet of water is pumped into the pool per hour, we can write the water-level height (h) as a function of time (t) as follows:

h(t) = (50t) / 1000

where t is the time in hours.

For example, after 1 hour, the water-level height would be:

h(1) = (50 x 1) / 1000 = 0.05 feet

After 2 hours, the water-level height would be:

h(2) = (50 x 2) / 1000 = 0.1 feet

And so on.

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9514 1404 393

Answer:

  x + y = 60

Step-by-step explanation:

Vertical angles are congruent.

Equation/Solution for x:

  85 = 3x +55

  30 = 3x . . . . . . subtract 55 from both sides

  10 = x . . . . . . . divide both sides by 3

Equation/Solution for y:

  95 = 2y -5

  100 = 2y . . . . add 5 to both sides

  50 = y . . . . . . divide both sides by 2

The objective:

  x + y = 10 + 50

  x + y = 60

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x - 5  -------------------(I)

x + y = -1 ----------------(II)

Substitute y = x -5 in equation (II)

x + (x - 5) = -1

x + x - 5 = -1   {Combine like terms}

   2x - 5 = -1 {Add 5 to both sides}

        2x  = -1 + 5

         2x = 4 {Divide both sides by 2}

           x = 4/2

x = 2

Substitute x = 2 in equation (I)

y = 2 - 5

y = -3

The length in centimeters of side OP is 8.

A triangle is a plane figure which is bounded by three straight sides, and has a sum of its internal angle to be 180^o.

Two or more triangles can be referred to as similar if the corresponding sides and measure of corresponding internal angles have some common properties on comparison.

Thus on comparing the corresponding sides of the two given similar triangles, we have;

JK/ ON = KL/ OP

2/ 4 = 4/ OP

2OP = 4*4

       = 16

OP = 16/ 2

     = 8

OP = 8 cm

Therefore, the length of side OP is 8 cm.

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The number of cans required to paint an area of 2000 square units is equal to 5 cans.

As given in the question,

Total area to be painted is equal to 2000 square units.

Area covered by one can of paint is equal to 400 square units

400 square units = 1 can of paint

⇒ 1 square units = ( 1 / 400 ) cans of paint

⇒ 2000 square units =  ( 2000 / 400 ) cans of paint

⇒ 2000 square units = 5 cans of paint

Therefore, the number of cans required to paint an area of 2000 square units using given can is equal to 5 cans.

The above question is incomplete, the complete question is:

How many cans of paint are needed to cover an area of 2000 square units if one can of paint covers in area 400 square units?

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Answer:

C) The initial value is 32, and the rate of change is 1.

Step-by-step explanation:

This is the correct answer for edge