The reed family bought a case of Apples. Paula ate 3/10 of the apples. Kyle ate 21% of the apples. Wendy ate 0.34 of the apples,and Ron ate the rest. What percent of the apples did Ron eat?

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Answer:

5/8 × 4 = 5/8 × 4/1 = 20/8 = 5/2

Step-by-step explanation:

hope this helps

Answer:

The solution is 5/2

Step-by-step explanation:

\( \sf \frac{5}{8} \times 4 \\ = \sf \frac{5}{ \cancel8} \times \cancel4 \\ = \sf \frac{5}{2} \)

The answer is 23

Step-by-step explanation:

7 + 2^4 ÷ 4 + 2(3² × 2 ÷ 6 + √9)

7 + 16 ÷ 4 + 2(9 × 2 ÷ 6 + √9)

7 + 4 + 2(3 + 3)

11 + 2(6)

11 + 12

= 23

The expression 2x is irrational if x is irrational.

An irrational number is a number that cannot be expressed as a ratio of two integers, and its decimal representation goes on infinitely without repeating. In other words, an irrational number is a real number that cannot be written as a simple fraction.

Some examples of irrational numbers include the square root of 2 (√2), pi (π), the golden ratio (∅), and Euler's number (e).

Given that 'x' is an irrational number

Suppose that 2x is rational when x is irrational. Then, we can write 2x as a ratio of two integers p and q, where q is not equal to zero and p and q have no common factors other than 1.

So, we have:

2x = p/q

We can rearrange this equation to get:

x = p/(2q)

Since p and q are integers, 2q is also an integer.

Therefore, x is a rational number, which contradicts our assumption that x is an irrational number.

Thus, our assumption that 2x is rational when x is irrational must be false.

Therefore, We can conclude that if x is irrational, then 2x is irrational.

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Answer:

A 95% confidence interval for μ is (LIL) 4.61.

The confidence interval for the population mean μ is constructed as follows:

Here, x is the sample mean, σ is the population standard deviation,

n is the sample size, and

zα/2 is the z-value

that corresponds to a level of confidence of (1-α)100%.

Given that c = 0.95, x = 4.8, σ = 0.6, and n = 55.

Confidence interval is given by;

(LIL), (UIL) = (x - zα/2*σ/√n), (x + zα/2*σ/√n)

where LIL is the lower limit of the interval and UIL is the upper limit of the interval.

Now, we need to determine the value of zα/2 such that the level of confidence is 0.95.

In the standard normal distribution, the area to the left of

zα/2 is (1-α)/2 or

(1-0.95)/2 = 0.025.

Using the z-table, we can find that the z-value that corresponds to this area is 1.96.

Therefore, the 95% confidence interval for μ is given by;

(LIL), (UIL) = (4.8 - 1.96*0.6/√55), (4.8 + 1.96*0.6/√55)= (4.61, 4.99)

Therefore, a 95% confidence interval for μ is (LIL) 4.61. (Round to two decimal places as needed.)

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The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15

Divisor of a Number :  

A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.

Here we have,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  

And n is a positive even integer  

For n = 2 ⇒  (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )    

For n = 4 ⇒   (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )

and so on.

From the above calculations,

we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers  

In every 5 consecutive odd positive integers,

One of them is always divisible by 3

And one of them is always divisible by 5.

Therefore,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

As we know product of 3 and 5 = 15

then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15

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The complete question is

What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?  

(A) 3         (B)  5        (C)  11          (D) 15             (E)  165    

Answer:

Justin is 23 years old, and Aimee is 42 years old.

Step-by-step explanation:

Let Marcella's age be represented by x, and Justin's age by t.

Given that Justin is 2 years older than one third Marcella's age.

t = \(\frac{1}{3}\) x + 2

t = \(\frac{x}{3}\) + 2 ........... 1

Also, Aimee is four years younger than 2 times Justin's age.

Aimee = 2 x t - 4

Aimee = 2t - 4 .......... 2

But, Marcella's age is 63 years, so that from equation 1;

Justin's age =  \(\frac{x}{3}\) + 2

                    = \(\frac{63}{3}\) + 2

                    = 21 + 2

                    = 23

Justin is 23 years.

From equation 2,

Aimee = 2 x 23 - 4

           = 46 - 4

           = 42

Aimee is 42 years.

Therefore,

Marcella is 63 years old, Justin is 23 years old, and Aimee is 42 years old.

Answer:

x = -13/9

Step-by-step explanation:

Solve for x over the real numbers:

8^(x - 3) = 16^(3 x + 1)

Hint: | Take logarithms of both sides to turn products into sums and powers into products.

Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):

3 log(2) (x - 3) = 4 log(2) (3 x + 1)

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by log(2):

3 (x - 3) = 4 (3 x + 1)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

3 x - 9 = 4 (3 x + 1)

Hint: | Write the linear polynomial on the right hand side in standard form.

Expand out terms of the right hand side:

3 x - 9 = 12 x + 4

Hint: | Isolate x to the left hand side.

Subtract 12 x - 9 from both sides:

-9 x = 13

Hint: | Solve for x.

Divide both sides by -9:

Answer: x = -13/9

Answer:

i think its the first one im not 100% sure but i think it is

Step-by-step explanation:

hopefully this helps

Answer:

Acceleration decreases velocity until the car stops.

The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

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Given:

The given function is:

\(f(x)=\sqrt{x-7}\)

To find:

The value of x that is in the domain.

Solution:

Domain is the set of input values.

We have,

\(f(x)=\sqrt{x-7}\)

We know that the square root is defined for non negative values. So,

\(x-7\geq 0\)

\(x\geq 0+7\)

\(x\geq 7\)

Thus, the domain of the given function is all real number that are greater than or equal to 7.

In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, \(x=8\) is in the domain of the given function.

Therefore, the correct option is A.

\(\huge\text{Hey there!}\)

\(\mathsf{17n + 9 - 47n}\)

\(\huge\textbf{COMBINE the LIKE TERMS}\)

\(\mathsf{= (17n - 47n) + (9)}\)

\(\mathsf{= 17n - 47n + 9}\)

\(\mathsf{= -30n + 9}\)

\(\huge\text{Therefore, your answer SHOULD be:}\)
\(\huge\boxed{\mathsf{-30n + 9}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.

Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.

Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.

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Answer:bunda

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

31cm

Step-by-step explanation:

14 + 8 + 9 = 31

Make sure to add the cm on the end!

The perimeter of the triangle is 31cm.

The perimeter of the triangle with sides of length 14 cm, 8 cm and 9 cm is 31 cm. This can be calculated by simply adding up the length of each side. To explain, the perimeter of a triangle is the sum of the lengths of all three sides.

In this particular triangle, the length of side 1 is 14 cm, the length of side 2 is 8 cm and the length of side 3 is 9 cm. When we add these three lengths, we get the perimeter of the triangle: 14 cm + 8 cm + 9 cm = 31 cm.

In general, to calculate the perimeter of any triangle, we first have to identify the lengths of all three sides. Then, we simply add these lengths together to get the perimeter.

For example, if the triangle had sides of lengths 4 cm, 5 cm and 6 cm, then the perimeter would be 4 cm + 5 cm + 6 cm = 15 cm.

In conclusion, the perimeter of any triangle can be calculated by adding together the length of each side. In the case of the particular triangle in question, the perimeter is 31 cm.

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The trigonometric ratios for each triangles are:

Please note that all angles B are the right angle, then:

cos B = 1; sin B = 0; tan B = -

The trigonometric ratio of sin, cos, tan, can be formulated as:

(please refer to the attached triangle below for reference)

cos A = side adjacent to A / Hypotenuse

Cos A = b/c

Sin A = side opposite to A / Hypotenuse

Sin A = a/b

Tan A = Side opposite to A / Side adjacent to A

Tan A = a/b

From these formulas, we can find that:

Triangle 1

Cos A = 40/50 = 4/5

Sin A = 30/50 = 3/5

Tan A = 30/40 = 3/4

Cos C = 30/50 = 3/5

Sin C = 40/50 = 4/5

Tan C = 40/30 = 4/3

Triangle 2

Cos A = 27/45 = 3/5

Sin A = 36/45 = 4/5

Tan A = 36/27 = 4/3

Cos C = 36/45 = 4/5

Sin C = 27/45 = 3/5

Tan C= 27/36 = 3/4

Triangle 3

Cos A = 15/17

Sin A = 8/15

Tan A = 8/15

Cos C = 8/17

Sin C = 15/17

Tan C = 15/8

Please note that all angle B on the three triangles are all a right angle, then:

Cos B = 1

Sin B = 0

Tan B = -

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Answer:

\((x+9.3)^{2} +(y-4.1)^{2} = 13\)

Step-by-step explanation:

Answer:

(x+9.3)^2+(y-4.1)^2=13

Step-by-step explanation:

Answer:

\(\frac{5}{24}\)

Step-by-step explanation:

I think that 38 means \(\frac{3}{8}\)

\(\frac{3}{8}\) + \(\frac{5}{12}\)  To add we need a common denominator.  That number would be 24

\(\frac{3}{8}\) x \(\frac{3}{3}\) = \(\frac{9}{24}\)

\(\frac{5}{12}\) x \(\frac{2}{2}\) = \(\frac{10}{24}\)

\(\frac{9}{24}\) + \(\frac{10}{24}\) = \(\frac{19}{24}\)  This is how much of the book has been read.

\(\frac{24}{24}\)  This would represent the total amount of the book

\(\frac{24}{24}\) - \(\frac{19}{24}\) = \(\frac{5}{24}\)  This is the amount of the book that needs to be read to finish the book.

Helping in the name of Jesus.

Answer:

1 or 2

Step-by-step explanation:

Both look wrong, but 1 seems worse. Sorry if this is wrong.

Answer:

step 2 is wrong...-4-3=-7

Step-by-step explanation:

Answer:

your grade increased by 14%

Answer:

7 ft

Step-by-step explanation:

7 x 7 x 7 = 343

Step-by-step explanation:

✧ \( \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}} }: \)

✧ \( \underline{ \underline{ \large{ \tt{T \: O \: \: F \: I\:N\: D}}}} : \)

✧ \( \underline{ \underline{ \large{ \tt{ S \: O \: L \: U \: T \: I\: O \: N}}} }: \)

☪ \( \boxed{ \large{ \text{Volume \: of \: a \: cube }= \sf {l}^{3} }}\)

⇾\( \large{ \sf{343 = {l}^{ 3}}} \)

⇾\( \large{ \sf{ {l}^{ 3} = 343}}\)

⇾\( \large{ \sf{l = \sqrt[3]{343} }}\)

⇾\( \large{ \sf{l = \sqrt[3]{7 \times 7 \times 7}}} \)

⇾\( \large{ \sf{l = \boxed{ \sf{7 \: ft}}}}\)

\( \huge{ \boxed{ \boxed{ \large{ \text{OUR \: FINAL \:ANSWER }: \boxed{ \underline{ \bold{ \sf{7 \: ft}}}}}}}}\)

⭒Hope I helped ! ⭒

Have a wonderful day / night ! ♡

Let me know if you have any questions regarding my answer ! ツ

⋆ \( \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}\) !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

a) 12/18

b) 6

Step-by-step explanation:

If adding 6 white balls doubles the probability then the original amount of balls is 6 and with the new amount of 18, the likelihood of picking a white ball becomes 12/18.

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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the relative rate of change of each species in the reaction can be determined using stoichiometry.

The stoichiometry of the reaction tells us that for every 3 moles of species A consumed, 2 moles of species C are produced. Therefore, the relative rate of change of species A can be calculated by multiplying the rate of the reaction (0.420 m/s) by the stoichiometric coefficient of A (-3), and dividing by the stoichiometric coefficient of C (2). Similarly, the relative rate of change of species B can be calculated by multiplying the rate of the reaction by the stoichiometric coefficient of B (-1) and dividing by the stoichiometric coefficient of C (2). The relative rate of change of species C is simply equal to the rate of the reaction.

the relative rate of change of each species in the reaction can be determined by applying stoichiometry. The relative rate of change of species A is (-0.630 m/s), the relative rate of change of species B is (-0.210 m/s), and the relative rate of change of species C is (0.420 m/s).

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Answer:

Step-by-step explanation:

Answer:

\(x = - 59\)

Step-by-step explanation:

\((6x + 28) = (7x + 87)\)

\(6x + 28 = 7x + 87\)

\(6x - 7x = 87 - 28\)

\(1x = - 59\)

\(x = - 59\)

the area of the shaded regions of all circles in terms of pi is a = 253.42 in², a = 215.98 yd², a = 25.13 ft², a = 201.06 yd² and a = 64.14 ft² respectively.

What is the shaded region?

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon.

The formula for calculating the area of a shaded segment of a circle is:

a = π ∗ r² ∗ angle/360

The area of the sector depends on the radius of the circle r and the measure of the angle t.

The area of a sector for angle t is  A = t/360 ⋅ π ⋅ r²

We have given the figures with their radius and shaded region angles,

In the first figure:

radius r =  11 in and  shaded region angle = 260°

so, a = π ∗ r² ∗ angle/360

a = π ∗ (11)² ∗ 260/360

a =  π ∗ 121 ∗ 2/3

a = 253.42 in²

In the second figure:

radius r =  15 yd and  shaded region angle = 110°

so, a = π ∗ r² ∗ 110/360

a = π ∗ (15)² ∗ 110/360

a =  π ∗ 225 ∗ 11/36

a = 215.98 yd²

In the third figure:

radius r =  6 ft  and  shaded region angle = 80°

so, a = π ∗ r² ∗ 80/360

a = π ∗ (6)² ∗ 80/360

a =  π ∗ 36 ∗ 2/9

a = 25.13 ft²

In the fourth figure:

radius r =  16 yd  and  shaded region angle = 90°

so, a = π ∗ r² ∗ 90/360

a = π ∗ (16)² ∗ 90/360

a =  π ∗ 256 ∗ 1/4

a = 201.06 yd²

In the fifth figure:

radius r =  7 ft  and  shaded region angle = 150°

so, a = π ∗ r² ∗ 150/360

a = π ∗ (7)² ∗ 150/360

a =  π ∗ 49 ∗ 5/12

a = 64.14 ft²

Hence, the area of the shaded regions of all circles in terms of pi is a = 253.42 in², a = 215.98 yd², a = 25.13 ft², a = 201.06 yd² and a = 64.14 ft² respectively.

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Answer:

Step-by-step explanation:

Simplifying

2x + 4y = 13

Solving

2x + 4y = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.

2x + 4y + -4y = 13 + -4y

Combine like terms: 4y + -4y = 0

2x + 0 = 13 + -4y

2x = 13 + -4y

Divide each side by '2'.

x = 6.5 + -2y

Simplifying

x = 6.5 + -2y

(Hope this helped!)