a vendor had 200 balloons for sale .If he sold 125 of them,what percent remains unsold?​

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on.

Step-by-step explanation:

Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

Answer:

y = 5/4x - 8

Step-by-step explanation:

first you convert the equation to y = mx + b

then you add the the -8 into the x and the 2 into the y and solve for b

b = -8 and since it is parallel same slope.

hope this helps :)

Answer:

if you dont have to use all the books in every arrangement the answer would be 44

Answer:

√121 = 11

Explanation:

11 × 11 = 121

Answer:

11

Step-by-step explanation:

The square root of 121 is 11.

= 11*11 = √(121)

= 121 = 11

done

Answer: Two lines are parallel if they are at a constant distance apart

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

0.77

Step-by-step explanation:

From the information given:

The breakdown time (a)= 3 hours

The breakdown rate (λ) = 1/a = 1/3

Average flow time in the system (W) = 2.305 hours

For the entire system;

The average down machines L = Wλ

= 2.305 × (1/3)

= 0.77

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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Answer:

1 - Paco

2 - Tim

3 - Jenny

4 - Maria

Step-by-step explanation:

Tim will not be in positions 1 or 4, as 1 and 4 represent the ends of the line.  Jenny cannot be in positions 1 or 4, as she is between two people.  Paco will not be in positions 2 or 4, as he is only in an odd numbered position. Maria will be in position 4, as none of the other three can be at position 4.  Paco will be in position 1, as Tim and Jenny cannot be at position 1.  The two positions left are 2 and 3. We'll assume that 1 represents the front of the line. Since Tim has to be in front of Jenny, he will take the position with the lower number, which is 2. This leaves Jenny with 3.

The linear function y = 3 · w - 1 represents the number of sea shells found in each week.

The speed of the driven gear is 180 rounds per minute.

In the first problem we have an example of linear progression, in which the number of sea shells is increased linearly every week. After a quick analysis, we conclude that the linear function y = 3 · w - 1, a kind of direct relationship.

In the second problem, we must an inverse relationship to determine the speed of the driven gear. Please notice that the speed of the gear is inversely proportional to the number of teeths. Then, we proceed to calculate the speed:

\(\frac{v_{1}}{v_{2}} = \frac{N_{2}}{N_{1}}\)

If we know that \(v_{2} = 60\,rpm\), \(N_{2} = 60\) and \(N_{1} = 20\), then the speed of the driven gear is:

\(v_{1} = v_{2}\times \frac{N_{2}}{N_{1}}\)

\(v_{1} = 60\,rpm \times \frac{60}{20}\)

\(v_{1} = 180\,rpm\)

The speed of the driven gear is 180 rounds per minute.

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Answer:

This triangle is a right triangle

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

2 and 3

2+3 = 5

3-2 = 1

is the number

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

147

Step-by-step explanation

Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change = 

Factor of polynomial m are 0,   6n⁴.

What is polynomial in maths?

A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. The polynomial x2 4x + 7 is an illustration of one with a single indeterminate x.

= 30m³n⁴ - 5m⁴

= 5m³(6n⁴ - m )

let 5m³(6n⁴ - m ) = 0

       5m³ = 0

         m = 0

 6n⁴ - m = 0

      m =   6n⁴

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

1/15

Step-by-step explanation:

jdndmsnx

Answer:

If its asking for hectors age, then its 152/8=19

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

152-8

Answer:

V ≈ 615.75

r Radius 7

h Height 4

9514 1404 393

Answer:

  -0.75

Step-by-step explanation:

If the difference is common, it is the difference of any pair of adjacent y-values (for sequential x-values).

  -4.5 -(-3.75) = -0.75 . . . . . difference between the first two y-values

The common difference is -0.75.

Answer:

A

Step-by-step explanation:

=(2(3x+4)(x−1))(x+−3)

=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)

=6x3+2x2−8x−18x2−6x+24

=6x3−16x2−14x+24

After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given expression in the question,

2(3x+4) (x−1) (x−3)

(6x + 8) (x² -3x - x + 3)

6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24

Now, collect similar terms and add them,

6x³ - 16x² - 14x + 24

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Answer:

a) B=65, c=20, a=18

b) A=55, B=35, c=12.5

c) b=4.95, a=7.2, B=55

Step-by-step explanation:

The sine of an angle is the ratio of the opposite side to the hypotenuse.

The cosine of an angle is the ratio of the adjacent side to the hypotenuse.

For a:

sin25=8/c

From the table sin25=.40

So .40=8/c and so c=8/.4=20

Similarly, cosine can be used to find a.

For the angles, the acute angles of a right triangle will add up to 90.

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The blanks that are missing in the sequence are -3 and 11

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

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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Answer:

I think the first one is the answer

Answer:

Step-by-step explanation:

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I answered it here.