In a board game, each player must roll a number cube and spin a spinner. The number cube is labeled with the numbers 1 through 6 and the spinner consists of eight equal parts shown below. What is the probability you will roll a 5 and land on blue?




A: 1 over 12

B: 1 over 10

C: 5 over 12

D: 2 over 3

Answer:

A=0.51

B=0.73

C=0.41

D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age

Step-by-step explanation:

These answers are all in fractions btw

A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51

B)100+65=165

165/225=0.73

C)100/245=0.41

Hope it helps !

The height of the box needs to be at least 14 mm to fit the pyramid. So option C is correct.

The volume of a pyramid is given by the formula:

V = (1/3) * B * h

where V is the volume, B is the area of the base, and h is the height.

In this case, we are given that the volume of the pyramid is 224 mm^3, and the dimensions of the base are 8 mm and 6 mm. Therefore, the area of the base is:

B = 8 mm * 6 mm = 48 mm^2

We are also given the height of the box, but we need to check if it is sufficient to fit the pyramid. We can rearrange the formula for the volume of a pyramid to solve for the height:

h = (3V) / (B)

Plugging in the given values, we get:

h = (3 * 224 mm^3) / (48 mm^2) = 14mm

Therefore, the height of the box needs to be at least 14 mm to fit the pyramid.

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One popular rule of thumb is the 30% rule,

which says to spend around 30% of your gross income on rent.

So if you earn $2,800 per month before taxes,

you should spend about $840 per month on rent.

To calculate,

simply divide your annual gross income by 40 - if you make $120,000 a year, you can spend $3,000 on rent.

An equivalent is the 30% rule, meaning that you can put 30% of your annual gross income in rent.

If you make $90,000 a year, you can spend $27,000 on rent, and so your monthly rent will be $2,250.

For example, for a home valued at $250,000, a landlord could charge between $2,000 and $2,750 each month.

If your home is worth $100,000 or less, it's best to charge rent that's close to 1% of its value.

To determine daily rent, the total number of days are divided by the monthly rent.

To get an appropriate calculation for how much each roommate should pay depending on the size of their room, take the square footage of each room and divide by the total square footage of the apartment. This will give you a percentage for the size and value of each room, which you can apply to the total cost of rent.

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The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

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Answer:

A. $7.00

Step-by-step explanation:

$82-$75=$7.00

Answer:

C. 2000 years

Step-by-step explanation:

Data provided in the question

Half life = 1,000 years

Number of homer moles contained = 2

And, for lisa = 6

Based on the above information, the computation is shown below:

But before that we need to do the following calculations

Total moles by combing the homer and lisa is

= 2 moles + 6 moles

= 8 moles

Now the present fraction of homer is

\(= \frac{2\ moles}{8\ moles}\)

\(= \frac{1}{4}\)

\(= \frac{1}{2^2}\)

Therefore the approximate age of rocks is

\(= 1,000\ years \times 2\)

= 2,000 years

Hence, the correct option is c.

Answer:

18 kids

Step-by-step explanation:

I have attached an image showing the complete question with the answer options.

Answer:

Option C: y = (3/6)x

Step-by-step explanation:

We are told that the constant of proportionality is 1/2.

Now, in constant of proportionality we use the formula;

y = kx

Where k is the constant of proportionality.

Thus the equation is;

y = ½x

Now, since ½ is a reduced form, we can write ½ as 2/4 or 3/6 and so on.

From the options, we see an equation with; y = (3/6)x

Thus,it's the correct one as when broken down, 3/6 gives ½

Generally, the answer that fits the given points on the graph the best is C: y=7/8x+6

Answer:

  20%

Step-by-step explanation:

You want to know the tax rate if the added tax brings the cost of $45 purchase to a total of $54.

The multiplier applied to a purchase cost to add the tax is ...

   (1 +r)

where r is the tax rate.

Here, that means ...

  45(1 +r) = 54

  1 +r = 54/45 = 1.20

  r = 1.20 -1 = 0.20 = 20%

The tax rate Delia paid on the articles she bought was 20%.

Answer:

3 pages

Step-by-step explanation:

12% of 25 = 3

bro, goo.gle

Answer:

Try maybe 48 pages?

Step-by-step explanation:

I'm not sure though so just try maybe

tell me if it's wrong...okay?

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer:

C

Step-by-step explanation:

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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Answer:

True, false, true, false.

Step-by-step explanation:

1. Add 2.7 and 4.2 to get 6.9.

2. The least possible difference you can get is 10.2. (4.2+|-6|)

3. 2.7x4.2 (the greatest positive numbers) get you 11.34.

4. You divide 4.2 and -2/3, but it's only -0.7.

Answer:

linear function

Step-by-step explanation:

straight line then add up

Answer:

  48 inches

Step-by-step explanation:

The greatest common factor of 144 and 240 is 48. If Hector orders 48" square tiles, he can use 3 of them in the direction of the short dimension, and 5 of them in the direction of the long dimension.

The tiles can be 48 inches square.

__

Using Euclid's algorithm to find the GCF, we have ...

  240/144 = 1 r 96

  144/96 = 1 r 48

  96/48 = 2 r 0 . . . . . 48 is the GCF

At each step, if the remainder from the division is not zero, we replace the larger number with the remainder and do the division again. The divisor that gives a zero remainder is the GCF.

Answer:

9

Step-by-step explanation:

Данный,

=> x - 3 = 6

=> x = 6 + 3

=> x = 9 (Отвечать)

Answer:

2

Step-by-step explanation:

-20 - 18 = -38

-7 - 12 = -19

-38/-19 = 2

Answer:

The slope is 2 which means the equation would be y=2x.

Step-by-step explanation:

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

im saying no

Step-by-step explanation:

because 2x usaully means 2x1 because there isnt any other nuber to maje it mean something like if i had 2x+3=7+2 than i would hahve to solve it for x but the step before x would give me the answer but i say no because there is no proof hope this helps sorry if its confusing lmk

The plane was flying at 48,000 ft above the ground, and started climbing 4 ft per min.

When 2 mins went by, it climbed 8ft. When 3 mins went by, it climbed 12ft...

When x mins went by, it climbed 4x ft

Thereby, the equation that represents the situation is:

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

The segment CD is a diameter . It is 15 cm long.

Step-by-step explanation:

Let

c = 11.5 cm

a = 8.9 cm

b = ?

Since this is a right triangle, we can use Pythagorean theorem to find the length of side b:

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

\(\Rightarrow b^2 = c^2 - a^2\)

Taking the square root of the equation above, we get

\(b = \sqrt{c^2 - a^2} = \sqrt{(11.5\:\text{cm})^2 - (8.9\:\text{cm})^2}\)

\(\:\:\:\:=7.3\:\text{cm}\)

Answer:

a

Step-by-step explanation:

since cosine 0 is 1 leading to the elimination of both c and b.

sine starts out positive and goes negative after π however the graph shows the opposite leading the answer to be a

Answer:

A. f(x) = −4sin(x)

Step-by-step explanation:

The graph that meets the origin and goes down is option A, f(x)=-4sin(x). This is because the sine function oscillates between 1 and -1, and the negative sign in front of the sine function flips the graph upside down. So, the graph starts at the origin at a value of 0, then oscillates down to a minimum value of -4, then oscillates back up to a maximum value of 4, and so on.

Answer:

The 3.907 is approximate.

====================================

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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Extra info: