Susan has (-8x - 5) marbles and she gives (3x - 8) marbles to her brother John. How many marbles does Susan have left after sharing some of them with her brother?

Answer:

D

Step-by-step explanation:

\( \sin(60) = \frac{6 \sqrt{3} }{x} \\ x = \frac{6 \sqrt{3} }{ \sin(60) } = 12 \\ \tan(60) = \frac{6 \sqrt{3} }{y} \\ y = \frac{6 \sqrt{3} }{ \tan(60) } = 6\)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

n - 8 >= 10

n minus 8 is greater than or equal to 10

Eight less than a number " n" , is at least 10.

The inequality for this condition can be represented as

\(\bold{ { n-8\geq 10}}\\\)

Hence option (2) is correct

To find out the expression for this inequality  let us consider that the number be ''n"

Since the actual number in the question is less than this number \(\rm n\) by \(8\) hence let the new number be \(\rm N\)

From the given condition in the statement  we can write that

\(\rm N = n-8\)

According to the condition given in the statement  we can write that

The value of \(\rm N\) is at least  10. This means  the minimum value for \(\rm N\) is 10.

This signifies that N can be any number with minimum value 10.

So the inequality for this condition can be represented as

\(\rm\bold{ { N\geq 10}}\\\bold{ { n-8\geq 10}}\\\)

Hence option (2) is correct

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Answer:

We conclude that the value of 'a' will be:

\(a=\frac{x+b^2}{2}\)

Hence, option (2) is true.

Step-by-step explanation:

Given the equation

x = 2a - b²

Let us solve the equation to solve for 'a'

\(x=2a-b^2\)

switching sides

\(2a-b^2=x\)

Add b² to both sides

\(2a-b^2+b^2=x+b^2\)

Simplify

\(2a=x+b^2\)

Divide both sides by 2

\(\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}\)

Simplify

\(a=\frac{x+b^2}{2}\)

Therefore, we conclude that the value of 'a' will be:

\(a=\frac{x+b^2}{2}\)

Hence, option (2) is true.

Answer:

Step-by-step explanation:

Given the information of the conical hat

=> the slant height of the hat is (use Pythagorean Theorem)

\(s^{2}\) = \(r^{2} + h^{2}\)

<=> \(s^{2}\) = \(8^{2} + 9^{2}\)

<=> s = \(\sqrt{145}\)  

The area (without the base area) of tissue paper will she need to make one hat is:

SA = πrs  in2

<=> SA =  π*8*\(\sqrt{145}\)  in2

<=> SA =8 \(\sqrt{145}\) π

=> the total tissue paper will she need for 21 hats is:

SA*21

= 8 \(\sqrt{145}\) π*21

= 6352,18 in 2

Answer:%33

Step-by-step explanation:

Answer:1200

Step-by-step explanation:

have no time sorry

The density of the materials is different hence the cubes are not made of same material.

The density of cube will be the representative of its material. Thus, we need to calculate the density. Here is it's formula -

Density = mass/volume

Now, we are given the mass and edge of cube. So, we need to calculate volume of cube. The formula is -

Volume = edge³

Volume of first cube = 3.2

Volume of cube one = 32.77 cm³

Volume of second cube = 8.34

Volume of cube one = 580.09 cm³

Now, finding the density of each cube.

Density of cube one = 43.63/32.77

Density of first cube = 1.33 g/cm³

Density of cube two = 683.5/580.09

Density of second cube = 1.17 g/cm³

Since the densities are slightly different, the materials are also different.

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Answer: I think the answer is 127 if it is wrong i am so sorry

Don't forget drop a heart.

Step-by-step explanation:

Answer:

i think 127

Step-by-step explanation:

sorry if its wrong

To know the best deal, we have to know which one gives us the least cost per gallon.

To do that we divide the price by the quantity or volume.

A) $56 for 25 gallons

B) $32.05 for 15 gallons

C) $51.29 for 23 gallons

D) $22.50 for 10 gallons

The best deal is B: $32.05 for 15 gallons, because it offers a price per gallon that is lower than the others.

Answer:

a 84, I may be wrong, sorry if I am.

Answer:

∠ADB = 35°

Step-by-step explanation:

The angle at the circumference in a semicircle is a right angle.

⇒ ∠ABC = 90°

Interior angles in a triangle sum to 180°

⇒ ∠BAC + ∠ABC + ∠BCA = 180°

⇒ 55° + 90° + ∠BCA = 180°

⇒ ∠BCA = 35°

The angles at the circumference subtended by the same arc are equal (angles in the same segment are equal)

⇒ ∠ADB = ∠BCA

⇒ ∠ADB = 35°

Answer:

19 square meters

Step-by-step explanation:

so split the shape into 2 rectangles (where you drew the line by the number 7)

then 3 times 5 is 15 and for the area of the second triangle it's not 1 times 7 because 7 is the entire side and we just need the smaller part on the right. So we do 7-3 because 3 is the amount of the side we dont need (it says on the bottom) and 1 times 4 is 4 and 4+15 is 19

Answer:

a=m-n

(Add n to both sides)

a+n=m-n+n

(The -n and +n cancel out, on the right side of the equation)

a+n=m

(Now subtract a from both sides)

a+n-a=m+a

(The +a and -a cancel out, on the right side of the equation)

n=m+a

Answer:

\(\huge \boxed{n=-a+m}\)

Step-by-step explanation:

\(a=m-n\)

Adding \(n\) to both sides.

\(a+n=m-n+n\)

\(a+n=m\)

Subtracting \(a\) from both sides.

\(a+n-a=m-a\)

\(n=m-a\)

Answer:

Step-by-step explanation:

it has 14 sides

360/14= 25.714

rounding to the nearest tenth we get:

25.7

Answer:

X = 30

Step-by-step explanation:

B = E

DEC = 180 degrees/ 65 + E + 55 = 180

E = 60

B = 2x

2x = 60

x = 30

The value of x in the given figure is 32.5.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

∠C = 55

∠D = 65

∠B = 2x

∠D and ∠B are alternate angles.

Alternate angles are equal.

65 = 2x

x = 65/2

x = 32.5

Thus,

The value of x is 32.5

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Answer:

Plant A is y=2x+6

Step-by-step explanation:

Slope: 2

Y-intercept: 6

Given:

Fixed pay = $25 a day

$2 for each toque he sells

• a)

$25 a day never changes, he is paid $25 a day no matter how many toques he sells.

• b)

Y = 25 + 2x

Where:

y = Jerry's daily salary

x = number of toques sold

• c)

x = 17

y= 25 + 2 (17)

y= 25 + 34

y= 59

Answers:

a) $25 per day

b) y=25+2x

c) $59

So, the probability that at least 71 students would prefer a boy is approximately 0.0951.

For this we need to use the normal approximation to the binomial distribution.

First, we need to check if the conditions for using this approximation are met:
1. The sample is random - given in the question
2. The sample size is large enough - n=150, which is greater than 10
3. The individual trials are independent - we can assume that each student's preference is independent of the others

Next, we need to find the mean and standard deviation of the sampling distribution of the sample proportion:
- Mean: p = 0.42
- Standard deviation:

   σ = sqrt(p(1-p)/n)

     = sqrt(0.42(1-0.42)/150)

     = 0.0509

Now we can use the normal distribution to approximate the probability that at least 71 students would prefer a boy.

We need to convert this to a z-score using the formula:

   z = (x - μ) / σ

Where x is the number of students who prefer a boy, μ is the mean of the sampling distribution (which is equal to p), and σ is the standard deviation of the sampling distribution.

For this question, we want to find the probability that at least 71 students prefer a boy, so we need to find the probability of x ≥ 71.

   z = (71 - 0.42*150) / 0.0509

     = 3.72

Using the standard normal distribution table, we can find that the probability of z ≥ 3.72 is approximately 0.0001 (rounding to four decimal places).

Therefore, the probability that in a random sample of 150 students, at least 71 would prefer a boy, assuming the true percentage is 42%, is approximately 0.0001.

To use the normal approximation to the binomial, we first need to find the mean (µ) and standard deviation (σ) of the binomial distribution.

µ = n * p = 150 * 0.42 = 63
σ = sqrt(n * p * (1-p)) = sqrt(150 * 0.42 * 0.58) ≈ 6.11

Next, we will calculate the z-score for 71 students.

z = (x - µ) / σ = (71 - 63) / 6.11 ≈ 1.31

Now, we will use the standard normal distribution table to find the probability that at least 71 students would prefer a boy. Since the table gives the area to the left of the z-score, we need to find the area to the right of the z-score, which is 1 - P (Z ≤ 1.31).

From the table, P (Z ≤ 1.31) ≈ 0.9049.

Therefore, the probability that at least 71 students would prefer a boy is: 1 - 0.9049 = 0.0951

So, the probability that at least 71 students would prefer a boy is approximately 0.0951.

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Answer:

Step-by-step explanation:

The easiest way to think about increasing area is by taking a square, if you double the dimensions, let's say they were 1 by 1 and then was made into a 2x2 square, you can fit four of the original cube (1x1) into the 2x2. So when the dimensions are doubled the area is quadrupled.

Even easier shortcut:

Take the cube idea, when the dimensions are messed with for anything, (works for volume too) always think of the smaller piece as 1x1 or 1x1x1. Then if the dimensions are double make it 2x2 or 2x2x2. If the dimensions are tripled then do 3x3 or 3x3x3, etc... 1x1=1x1x1, they are both equal to 1. So think of that as the numerator. the 2x2 in this case is equal to 4 so the smaller piece is 1/4 of the bigger one. Shown with volume if you double the dimensions of a cube that was 1x1x1 into 2x2x2. 1x1x1 still equals 1 so that's still the numerator and 2x2x2 is equal to 8 so the 1x1x1 cube is 1/8 of the 2x2x2, in other words you can fit eight 1x1x1 cubes into the 2x2x2 cube.

Hope this helps with area and volume.

The researchers estimate for the proportion of patients with high BMD in the population is equal to the sample proportion since they used a random sampling method with replacement. Therefore, their estimate for the proportion of patients with high BMD in the population is 0.267 or 26.7%.

In statistics, a population refers to the entire group of individuals, objects, or events that meet certain criteria. A sample, on the other hand, is a smaller subset of the population that is selected to represent the larger group.
In this case, the population is comprised of 622 patients, of whom 147 have high bone mineral density (BMD). The researchers selected a sample of 30 subjects from this population with replacement. This means that after selecting a subject, they put it back in the population before selecting the next subject.
Of the 30 subjects in the sample, 8 have high BMD. To estimate the proportion of patients with high BMD in the population, the researchers use the sample proportion.
The sample proportion is calculated by dividing the number of subjects with high BMD in the sample (8) by the total number of subjects in the sample (30).
Sample proportion = 8/30 = 0.267
It's important to note that the larger the sample size, the more accurate the estimate will be. However, in this case, the sample size is relatively small, so there may be some error in the estimate. Nonetheless, the researchers estimate provides a good indication of the proportion of patients with high BMD in the population.

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To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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The angle x in the circle is 74 degrees.

The central angle is formed at the centre of a circle due to the intersection of any two radii within the circle.

The central angle of an arc is the central angle subtended by the arc.

The measure of an arc is the measure of its central angle.

Therefore,

x = 74 degrees

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Answer:

¡Hola, soy Za'Riah! Con gusto te ayudaré con este problema. (ver explicación)

Step-by-step explanation:

Resolvamos tu problema usando la división larga.

(See image)

Answer:

first one

Step-by-step explanation:

first one 10/10

2nd ome 9.6/10

I like the first one better

Answer:

2 one is my favorite

Step-by-step explanation:

1 , 9

2, 10

3, 8

4, 5

5, 1

Answer:

Yes i do the answer is C

Step-by-step explanation:

Have a good day:))))

Step-by-step explanation:

write this equation on a pice of paper then go to the camera button select which one you want and then take a pic of it. i am in a math class a year above me and this is what we are learning these types of problems confuse me I wish I could help