Write in simplified ratio form, the mass of raisins to mass of butter​

Answer:

$50

Step-by-step explanation:

Given data

We are given that the price is $40

the markup percent is 25%

Hence the price will be

40+25% of 40

=40+ 25/100*40

=40+ 0.25*40

=40+10

=$50

Therefore, the price of the dress is $50

The fraction of Jonas age represents the age of nick after 6 years is 7/10.

We have,

their present age of nick is 8 years and Jonas age is 14 years.

What is the fraction?

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a portion or section taken from a whole, which can be any number, a certain amount, or an object.

After 6 years

Nick's age =14 years and Joan's age =20 years

So, the fraction =14/20

= 7/10

Therefore, the fraction of Jonas age represents the age of nick after 6 years is 7/10.

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Answer:

385$

Step-by-step explanation:

30% off of 600 is 180. 600-180=420. Then, 35$ off would be 385.

1. The fraction of full-time employees who work in the bank is 16/31.

2. The fraction of pieces that David need to fix to complete the puzzle is 9/27

3. The fraction of girls that wore red outfits is 1/2.

4. The fraction of books on the shelf that are in Spanish is 2/7.

1. Alocal community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. The fraction of full-time employees will be:

= (31 - 15) / 31

= 16/31

2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle. The fraction of pieces that David need to fix will be:

= (28 - 19)/28

= 9/28

3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. The fraction of girls that wore red outfits will be:

= 10/20

= 1/2

4. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. The fraction of books on the shelf that are in Spanish will be:

= Spanish books / Total books

= 6 / (15 + 6)

= 6/21

= 2/7

The above illustrate the fraction.

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Answer: To estimate the required sample size for a 97% confidence interval with a 0.6 margin of error, we need to use the formula:

n = (Z * σ / E)^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (97% confidence corresponds to a Z-score of approximately 2.17)

σ = population standard deviation

E = desired margin of error

Plugging in the values, we have:

n = (2.17 * 3 / 0.6)^2

n = 11.5^2

n ≈ 132.25

Since you cannot have a fraction of a person, we need to round up to the nearest whole number. Therefore, you would need to survey at least 133 randomly selected college basketball players to estimate the population mean height with a 97% confidence interval and a 0.6 margin of error.

Answer:

9 blue marbles

Step-by-step explanation:

I think the answer is 9 because if there are 15 red marbles and the ratio is 5:3, then 5*3=15; therefore, 3*3=9.

This is why the answer is 9 blue marbles.

Hope this helps!

The number of blue marbles are 9.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given:

red: blue = 5:3

red marbles are 15

let the blue marbles be x

So,

5/3= 15/x

5x= 45

x=45/5

x=9

Hence, there are 9 blue marbles.

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His discount and final price be $280 for his order of 140 boxes.

A discount is a drop in a product's or service's price.

It is frequently provided as a perk to customers to entice them to buy. Discounts are often stated as a percentage or dollar amount off the list price.

Depending on the sort of discount and the situation, discounts can be computed in a variety of ways.

For instance, a product that costs $100 would have a discounted price of $80 with a 20% discount applied. Similar to this, a product that costs $50 would have a discounted price of $40 if it received a $10 reduction.

In marketing and sales, discounts are frequently used to draw customers and boost sales volume.

The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his maths test.

In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is read as "percent" or "percentage."

This percent symbol can always be changed to a fraction or decimal equivalent by using "divided by 100."

Exampe of Percentage :-

10% = 10/100 ( = 1/10 (or) 0.1)

25% = 25/100 ( = 1/4 (or) 0.25)

According to question

Lee qualifies for a 20% discount because his order of 140 boxes falls within the range of 100-200 boxes.

Since each box originally cost $2.50, the full price of 140 boxes, after any discounts, is:

140 * $2.50 = $350

The 20% Lee discount is determined as follows:

20% * $350 = $70

Lee's discount is therefore $70, and his adjusted price is as follows:

$350 - $70 = $280

Therefore, Lee will ultimately pay $280 for his order of 140 cartons.

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Answer:

Um, ya I don't know

Step-by-step explanation:

The function that convolved with -2cos(t) would produce 6sin(t) is g(t) = -3 * e^(-jt)/(2π).

To determine the function that, when convolved with -2cos(t), would produce 6sin(t), we can use the convolution theorem. According to the convolution theorem, the Fourier transform of the convolution of two functions is equal to the product of their individual Fourier transforms.

Let's denote the function we are looking for as g(t). Taking the Fourier transform of g(t) yields G(ω), and taking the Fourier transform of -2cos(t) yields -2πδ(ω - 1), where δ(ω) is the Dirac delta function.

Using the convolution theorem, we have:

G(ω) * -2πδ(ω - 1) = 6πδ(ω + 1)

To solve for G(ω), we divide both sides of the equation by -2πδ(ω - 1):

G(ω) = -3δ(ω + 1)

Now, we take the inverse Fourier transform of G(ω) to obtain g(t):

g(t) = Inverse Fourier Transform[-3δ(ω + 1)]

The inverse Fourier transform of δ(ω + a) is given by e^(-jat)/(2π), so applying this to our equation:

g(t) = -3 * e^(-jt)/(2π)

Therefore, the function that convolved with -2cos(t) would produce 6sin(t) is g(t) = -3 * e^(-jt)/(2π).

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Answer:

true

Step-by-step explanation:

Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

Answer:

  37/50

Step-by-step explanation:

You want the fraction of integers in the range [1, 100] that are divisible by 2, 3, or 5.

Attached is a Venn diagram showing how the divisibility of numbers from 1 to 100 stacks up. Circle A includes all 50 numbers divisible by 2; Circle B counts all 33 numbers divisible by 3; and Circle C counts the 20 numbers divisible by 5.

Where the circles overlap, there are counts of the numbers divisible by the relevant combination of factors. For example, there are 3 numbers divisible by 2, 3, and 5. (They are 30, 60, 90.)

In all, there are 74 numbers in the range 1–100 that are divisible by 2, 3, or 5.

The probability that a card chosen at random will have a number divisible by 2, 3, or 5 is 74/100 = 37/50.

  P( 2, 3, or 5 divides N) = 37/50.

__

Additional comment

Roughly, the number of numbers in range [A, B] divisible by n is (B -A)/n. This is how we arrived at the counts shown in the attachment. For example, There are 100/(2·5) = 10 numbers divisible by both 2 and 5. Of those, there are 10/3 = 3 divisible also by 3. So, the number 3 is found in the area ABC, and the number 10-3=7 is found in the area AB'C.

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Answer:

The statement is true

Step-by-step explanation:

Step-by-step explanation:

sss similarity theorem

Answer:

Step-by-step explanation:

Let x represent the cost of the video game before tax.

A customer buys a CD for $15 and a video game. The expression for the total cost of both items before tax is

15 + x

The customer pays a total of $42.80 for the two items. This includes 7% sales tax. The amount of tax paid by the customer for both items would be

7/100 × 42.8 = $2.996

The amount paid for the items before tax would be

42.8 - 2.996 = 39.804

Therefore, the equation that can be used to find x, the cost of the video game before tax is

15 + x = 39.804

Answer:

B

Step-by-step explanation:

Answer:

615.44 cm^2

Step-by-step explanation:

here r, radius is 14 cm and π as 3.14

area of circle = π\(r^{2}\)

3.14 * 14^2

3.14 * 14 * 14

615.44cm^2

Answer:

The area of the hubcap is about \(\boxed{\tt{615.44}}\) cm².

Step-by-step explanation:

Here's the required formula to find the area of hubcap :

\(\longrightarrow{\pmb{\sf{Area_{(Circle)} = \pi{r}^{2}}}}\)

Substituting all the given values in the formula to find the area of hubcap :

\(\longrightarrow{\sf{Area_{(Hubcap)} = \pi{r}^{2}}}\)

\(\longrightarrow{\sf{Area_{(Hubcap)} = 3.14{(14)}^{2}}}\)

\(\longrightarrow{\sf{Area_{(Hubcap)} = 3.14{(14 \times 14)}}}\)

\(\longrightarrow{\sf{Area_{(Hubcap)} = 3.14{(196)}}}\)

\(\longrightarrow{\sf{Area_{(Hubcap)} = 3.14 \times 196}}\)

\(\longrightarrow{\sf{Area_{(Hubcap)} = 615.44}}\)

\(\star{\underline{\boxed{\sf{\purple{Area_{(Hubcap)} = 615.44 \: {cm}^{2}}}}}} \)

Hence, the area of hubcap is 615.44 cm².

\(\rule{300}{2.5}\)

Answer:

Brainliest Answer?

( 7 / 8 ) seconds

( 77 / 4 ) feet

Step-by-step explanation:

The question is a bit confusing but I will do it both ways. I will assume that you made a mistake copying over the function because the graph s( t ) is linear. Linear functions have a maximum value of infinity because it is an odd-degree polynomial.

Assume that s( t ) = - 16t² + 28t + 7;

The equation forms an upside-down parabola which means it has a maximum value.

Complete the square to get the axis of symmetry and the maximum value of the parabola or use my very cool formula. The variables h and k represent the axis and max respectively.

ax² + bx + c = a( x - h )² + k;

ax² + bx + c = a( x - ( - b / 2a ) )² + c - ( b² / 4a );

ax² + bx + c;

Take a as a factor.

a( x² + ( b / a )x + ( c / a ) );

Add and subtract the square of ( 1 / 2 ) of ( b / a ). This is called completing the square because it forms a perfect square trinomial.

a( x² + ( b / a )x + ( b / 2a )²  - ( b / 2a )² + ( c / a ) );

Factorise the trinomial.

a( ( x + ( b / 2a ) )² - ( b / 2a )² + ( c / a ) );

Use the distributive property of multiplication.

a( x + ( b / 2a )² + a( ( c / a ) - ( b / 2a )² );

a( x + ( b / 2a )² +  a( ( c / a ) - ( b² / 4a² ) );

Simplify the fractions.

a( x + ( b / 2a )² + c - ( b² / 4a );

Substitute the values.

- 16( t - ( - 28 / 2( - 16 ) )² + 7 - ( ( 28 )² / 4( - 16 ) );

Time is the x-axis so we need to solve for the axis of symmetry.

h = ( - 28 / 2( - 16 ) );

h = ( - 28 / - 32 );

Simplify the fraction.

h = ( 7 / 8 );

Maximum height is the parabola's y of the vertex.

k = 7 - ( ( 28 )² / 4( - 16 ) );

k = 7 - ( ( 28 )( 28 ) / - 64 );

k = 7 - ( 784 / - 64 );

k = 7 - ( - 49 / 4 );

k = ( 28 / 4 ) + ( 49 / 4 );

k =  77 / 4;

The result will be the original bill amount plus 20 percent of the bill amount, which represents the gratuity. To find the total bill including a 20 percent gratuity, we can use the expression: 47.60 + (0.2 * 47.60).

1. The expression (0.2 * 47.60) calculates 20 percent of the bill amount.

2. We multiply 0.2 by 47.60 to get the gratuity amount.

3. We then add the gratuity amount to the original bill amount of 47.60 to find the total bill including the gratuity.

Using the expression 47.60 + (0.2 * 47.60), we can calculate the total bill with the 20 percent tip. The result will be the original bill amount plus 20 percent of the bill amount, which represents the gratuity.

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Answer:

3750

Step-by-step explanation:

Answer:

25,000 x 0.15 =3750

Step-by-step explanation:

Calculus Early Transcendentals is a branch of mathematics that deals with the study of rates of change and slopes of curves. It is a fundamental area of mathematics that is widely used in a variety of fields, including engineering, physics, economics, and science.

The core concept of Calculus Early Transcendentals is differentiation, which is the process of finding the derivative of a function. A derivative is essentially the rate of change of a function at a given point, and it is used to determine how the value of the function changes as its input changes.

In addition to differentiation, Calculus Early Transcendentals also covers integration, which is the process of finding the area under a curve. Integration is the inverse of differentiation and is used to find the total change in a function over a given interval.

Another important area covered in Calculus Early Transcendentals is optimization, which is the process of finding the maximum or minimum value of a function. This is a useful tool in many real-world applications, such as finding the minimum amount of time or energy required to perform a task.

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Step-by-step explanation:

there are 91 2-digit numbers : 10 ..99

and there are 9 2-digit numbers with identical first and second digit : 11, 22, 33, 44, 55, 66, 77, 88, 99

99 has to be excluded, because there are no 2 2- digit numbers that I can subtract from each other and get 99.

so, e are dealing with 8 possibilities.

88 = 99-11

98-10

77 = 99-22

98-21

97-20

...

78-1

66 = 99-33

98-32

...

67-1

...

11 = 99-88

98-87

...

12-1

all the double- digit numbers are 11 apart. so, by picking 12 numbers, I have to have at least one that I can combine with one of the other 11 to get a double-digit number.

To find the derivative, d(b_n), we differentiate b_n with respect to n. The derivative of b_n is given by d(b_n) = -h * e^(-n).

The sequence b_n = h * e^(-n) involves the exponential function with a negative exponent. As n increases, the exponent (-n) tends to negative infinity, and the exponential term e^(-n) approaches zero. This causes the entire sequence b_n to converge towards zero. Therefore, the limit of b_n as n approaches infinity, lim b_n, is equal to zero.

To find the derivative, d(b_n), we differentiate b_n with respect to n. The derivative of h * e^(-n) with respect to n is obtained using the chain rule of differentiation. The derivative of e^(-n) is -e^(-n), and multiplying it by h gives us the derivative of b_n:

d(b_n) = -h * e^(-n).

Thus, the derivative of b_n is -h * e^(-n).

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The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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Answer:

x= -2

Step-by-step explanation:

since we know what y equals we fill it into the second equation

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

3x+12=-2x+2

   -12.      -12

3x=-2x-10

+2x +2x

5x=-10

/5. /5

x= -2

hopes this helps please mark brainliest

Answer: 27.3 yards per hour

Step-by-step explanation:

First convert 3 kilometers to yards    

3 km to yards is  3280.84  

now we have to convert 5 days to hours. If there are 24 hours per day  then we will multiply 24 by 5 to determine hours are in 5 days

5 * 24 = 120  hours  

Now divide divide 3280.84  by 120  to find the speed in yards per hour

3280.84 / 120 = 27.34  yards per hour  

27.34  rounded to the nearest tenth is 27.3

The object is moving at a speed of 2734.025 yards per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 1 kilometer is 109361 yards and one day is equal to 24 hours.

Given, An object is moving at a speed of 3 kilometers every 5 days.

∴ The object is moving at a speed of (3×109361) = 328083 yards in

(5×24) = 120 hours.

Hence in 1 hour, the object moves (328083/120) yards = 2734.025 yards.

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Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

In short, the answer is 85/5 is the most basic.

85/5 is equal to 17 laps a day (minimum)

17 laps a day is also the average of this. I hope this helps!

it is 1.25, next time actually dont post nasty stuff here tho

Answer:

1.25 or in fraction 1 1/4

Step-by-step explanation:

10 x 10 = 100

100 / 80 = 1.25

have a good day