Giving brainliest for the correct answer!!!! As long as you explain!

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

The sequence is [tex]3\frac{1}{2}, 3\frac{5}{6}, 4\frac{2}{12}, .... , 4\frac{5}{6}[/tex].

So, we have to find the missing term.

The sequence can be written in improper fraction as [tex]\frac{7}{2}, \frac{23}{6}, \frac{25}{6}, ... , \frac{29}{6}[/tex].

Therefore, the sequence is in A.P. as the consecutive numbers in the sequence are increasing by [tex]\frac{1}{3}[/tex].

As, [tex](\frac{23}{6} - \frac{7}{2}) = \frac{1}{3} = (\frac{25}{6} - \frac{23}{6})[/tex].

Therefore, the missing number is [tex](\frac{25}{6} + \frac{1}{3}) = \frac{27}{6} = \frac{9}{2} = 4\frac{1}{2}[/tex]. (Answer)

9) Volume of the cone: [tex]9152 mm^3[/tex]

10) New volume of the cone: [tex]339 mm^3[/tex]

11) The volume of the cone shrinks by a factor of [tex]3^3=27[/tex]

12) Volume of the composite  figure: [tex]15 ft^3[/tex]

Step-by-step explanation:

9)

The volume of a cone is given by the equation

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

where

[tex]\pi r^2[/tex] is the area of the base, where

r is the radius of the cone

h is the height of the cone

For the cone in this problem, we have:

r = 18 mm (radius)

h = 27 mm (height)

Therefore, the volume of this cone is

[tex]V=\frac{1}{3}\pi (18)^2 (27)=9152 mm^3[/tex]

10)

In this second exercise, the radius and the height of the cone are divided by 3. Therefore we have:

[tex]r'=\frac{r}{3}=\frac{18}{3}=6 mm[/tex] is the new radius of the cone

[tex]h'=\frac{27}{3}=9 mm[/tex] is the new height of the cone

Therefore, the new volume of the cone is

[tex]V=\frac{1}{3}\pi r'^2 h'[/tex]

And substituting, we find

[tex]V=\frac{1}{3}\pi (6)^2 (9)=339 mm^3[/tex]

11)

We can understand what happened to the volume of the cone after dividing its dimensions by 3 by calculating the ratio of the original volume to the new volume:

[tex]\frac{V}{V'}=\frac{9152}{339}=27[/tex]

This means that the new volume of the cone is 27 times smaller than the original volume.

We see that this "factor of shrinking" corresponds to the total factor of shrinking ofits dimensions, to the power of 3. In fact:

- Each the radius and the height of the cone has shrunk by a factor of 3

- However, the cone is a figure in 3  dimensions, so the total factor of shrinking of its volume is [tex]3^3 = 27[/tex]

12)

The composite figure consists of a squared pyramid + a parallelepiped.

The volume of the square pyramid is given by:

[tex]V_1 = \frac{1}{3}Lwh[/tex]

where

L = 5 ft is the length of the base

w = 1 ft is the width of the base

h = 6 ft is the height of the pyramid

Substituting,

[tex]V_1 = \frac{1}{3}(5)(1)(6)=10 ft^3[/tex]

The volume of the parallelepiped is given by

[tex]V_2=Lwh[/tex]

where

L = 5 ft is the length of the base

w = 1 ft is the width of the base

h = 1 ft is the height

Substituting,

[tex]V_2 = (5)(1)(1)=5 ft^3[/tex]

So, the total volume of the composite figure is

[tex]V=V_1+V_2=10+5=15 ft^3[/tex]

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Answer:

9) Volume of the cone: 9152 mm^3

10) New volume of the cone: 339 mm^3

11) The volume of the cone shrinks by a factor of 3^3=27

12) Volume of the composite  figure: 15 ft^3

Step-by-step explanation:

Answer:

Identify the input and output values.

convert the data to do coordinate pairs.

find the slope.

write the linear model.

use the model to make a prediction by evaluating the function at the given x-value.

use the model to identify an x value that results in a given y value.

Answer:

4/15 or in decimal form its 0.26

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.26

Answer:

If you're supposed to be multiplying the first four numbers, the answer is going to be 13.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Jake ate 2 less than 6 which is how many Harry ate.

Answer:

4

Step-by-step explanation:

the answer is 4 because 6 minus 2 would be 4 so the answer is four

Answer: 44! Hope this helps :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

56 - 12 is 44

Answer:

5b²-1b-2

Step-by-step explanation:

-3b and +2b are like terms so you combine them together -3b+2b= -1b

+2 and -4 are like terms so +2-4= -2

5b² has no like terms

then you put your answers together to simplify the equation

5b²-1b-2

The polynomials added together give the result 5b^2 - b - 2. The addition is done by combining like terms in the given polynomials.

To add these polynomials, you combine like terms. Like terms are the terms in the polynomial that have the same variable and exponent. Here, our terms are 5b^2, -3b, 2, 2b, and -4.

The term 5b^2 does not have a like term, so it remains as is. The terms -3b and 2b add up to -b because -3b + 2b = -b. And finally, the constants 2 and -4 add up to -2. When we combine these results, we have the final answer: 5b^2 - b - 2.

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Answer:

a

Step-by-step explanation:

the x of each point in order from least to greatest makes up the domain

Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

[tex]$ 2x - 3y = 12 \hspace{5mm} \hdots (1) $[/tex]

[tex]$ 5x + 6y = 18 \hspace{5mm} \hdots (2) $[/tex]

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

[tex]$ 12x - 18y = 72 \hspace{15mm} \hdots (a) $[/tex]

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

[tex]$ 15x + 18y = 54 \hspace{5mm} \hdots (b) $[/tex]

Now, we add Equation (a) and Equation (b).

[tex]$ \implies 12x - 18y + 15x + 18y = 72 + 54 $[/tex]

[tex]$ \implies 27x = 126 $[/tex]

Factor: 3

Equation: 27x = 126

The equation formed by the given problem statement is 0.5*x + 4 = 20, solving this gives x = 32. Hence, there are 32 students in Bryan’s homeroom.

The problem statement says that 'Four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical' and '20 students have tickets'. If we denote the total number of students in Bryan’s homeroom by x, we can write the statement as an equation: 0.5*x + 4 = 20. Simplifying this equation gives us 0.5*x = 20 - 4 = 16, so x = 16 * 2 = 32. Hence, there are 32 students in Bryan’s homeroom.

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Answer: tenth place

Step-by-step explanation:

Answer:

The tens place.

Step-by-step explanation:

In order, the numbers would go as follows:

7 would be in the ones place.

4 would be in the tens place.

3 is in the hundreds place.

2 is in the thousands place.

6 is in the hundred thousands place.

5 is in the millions place.

Answer:

Therefore the volume of the box is 13824 in³

Step-by-step explanation:

Given:

A spherical ball with is packaged in a box that is in the shape of a cube.

Volume of ball = 2304π in³.

Let 'r' be the radius of sphere

To Find:

Volume of Cube = ?

Solution:

Volume of sphere is given by

[tex]\textrm{Volume of sphere}=\dfrac{4}{3}\pi r^{3}[/tex]

Substituting the values we get

[tex]2304\pi=\dfrac{4}{3}\pi r^{3}\\\\\therefore r^{3}=1728\\\\Cube\ Rooting\\\\r=12\ in[/tex]

Now we know that diameter is given by

[tex]diameter=2\times r=2\times 12=24\ in[/tex]

it is given that,

The edge length of the box is equal to the diameter of the ball.

Therefore the length of cube = 24 in

Now the volume of the cube is given by

[tex]\textrm{Volume of cube}=(edge)^{3}[/tex]

substituting the values we get

[tex]\textrm{Volume of cube}=(24)^{3}=13824\ in^{3}[/tex]

Therefore the volume of the box is 13824 in³

4,560

10 to the 2nd power is = 100

so 100 × 45.6 =

The height of living room ceiling is 15 feet.

Step-by-step explanation:

Given,

Height of ceiling in bedroom = 10 feet

This is 2/3 height of living room ceiling.

Let,

x be the height of living room ceiling.

2/3 of x = 10

[tex]\frac{2}{3}x=10[/tex]

Multiplying both sides by 3

[tex]3*\frac{2}{3}x=10*3\\2x=30[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{30}{2}\\x=15[/tex]

The height of living room ceiling is 15 feet.

Keywords: fraction, division

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The height of the living room ceiling is 15 feet.

To find the height of the living room ceiling, we can start by letting 'x' represent the height of the living room ceiling.

Since the bedroom ceiling is 2/3 as high as the living room ceiling, we can write the equation:

10 = (2/3)x

To solve for x, we can multiply both sides of the equation by 3/2:

(3/2)(10) = (3/2)((2/3)x)

15 = x

Therefore, the height of the living room ceiling is 15 feet.

Answer:

Dealer B

Step-by-step explanation:

Maintenance cost per year = 75$

Dealer "A' wants $4.995.00.

Dealer "B" wants 55,595.00 with free maintenance cover for a year.

It is obvious that the best deal is what dealer B is offering, with free maintenance cover per year. for example, if i pick dealer A, calculate the maintenance cover for 3years = $2700

whereas for dealer B, a whole year maintenance cost is free, it implies that one will start paying the next coming year i.e a year lesser than dealer A. by that time the one who picked dealer A must have paid $3600 for maintenance while the one who picked dealer B will about to pay $1800.

The best deal is what dealer B is offering coupled with the free maintenance cover for 1year.

Final answer:

After calculating the total costs for one year, Dealer B offers a better deal on the Jeep by saving $300, as it includes free maintenance, contrasting with Dealer A which results in higher overall costs after adding maintenance payments.

Explanation:

To determine which car deal from the dealers is the better option, we need to calculate the total cost of each option over the course of one year, including the average monthly maintenance cost on a used car. According to AAA, this cost is $75 per month.

For Dealer A, the cost of the car is $4,995 with no free maintenance, so the total cost after one year is the price of the car plus 12 months of maintenance:

Cost of the car: $4,995

12 months of maintenance: 12 * $75 = $900

Total cost for Dealer A after one year: $4,995 + $900 = $5,895

For Dealer B, the car costs $5,595 but comes with free maintenance for one year, which means:

Total cost for Dealer B after one year: $5,595

Comparing these totals, we see that Dealer B offers the better deal, with the overall savings being:

Savings: $5,895 - $5,595 = $300

Answer:

b. 8 ft

Step-by-step explanation:

We use the formula for the circumference of a circle to find the length of  each loop.

Circumference of a circle    = 2πr or Dπ

Where:                                π =  pi

                                           r   = radius of the circular loops

                                           D  = Diameter

                                             π  = [tex]\frac{22}{7}[/tex]

                                             D  =  30 inches

Use Circumference of a circle = Dπ

Circumference of a circle         = 30 x (22/7)

                                                   = 30 x 3.142857143

                                                   =  94.28571429 inches

Convert 94.28571429 inches to feet (ft)

                                  12 inches  = 1 ft

                94.28571429 inches  =  94.28571429/12

                                                    =  7.857142858 ft

                                                    ≈  8 ff                  

Answer:

24

Step-by-step explanation:

18-6=12

24=12x2

12-24= -12

Answer:

The fraction less than  [tex]\frac{3}{5}[/tex] is   [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Given fractions are

[tex]\frac{3}{5} ,\frac{3}{10} ,\frac{3}{4}, \frac{2}{3}, \frac{5}{3}[/tex]

[tex]\frac{3}{5} =0.6\\\\\frac{3}{10}= 0.3\\\\\frac{3}{4} =0.75\\\\\frac{2}{3}=0.66 \\\\\frac{5}{3}=1.66[/tex]

Arranging the fraction in increasing order of their value

     [tex]\frac{3}{10}= 0.3<\frac{3}{5} =0.6<\frac{2}{3}=0.66<\frac{3}{4} =0.75<\frac{5}{3}=1.66[/tex]

So,the fractions less than  [tex]\frac{3}{5}[/tex] is   [tex]\frac{3}{10}[/tex]

Answer:

8:36

Step-by-step explanation:

Factors: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

GCF: 4

8 ÷ 4 = 2 36 ÷ 4 = 9

Tim would have to do 18 chores (2 chores 9 times or 1 chore 18 times) to be able to buy the video game.

Step-by-step explanation:

Step 1; Tim's parents will give him $3 for every two chores. This equals $1.50 for a single chore. He wants to save up $27 so that he can buy the video games he wants.

Step 2; The number of times he has to do the chores to be able to but the video game is a division between the money he wants to save up by the money he gets for the chores.

Number of 2 chores he needs to do     = Amount of money he wants to save up / money he gets for doing two chores

                                                                  = $27 / $3 = 9 times.

Number of single chores he has to do =Amount of money he wants to save up / money he gets for doing two chores

                                                                   $27 / $1.50 = 18 times

Answer:

30 meters away

Step-by-step explanation:

each second is equal to 5 meters, hence meters per second

there is not any slope for this mathematical equation

To find one-third of the tank's maximum volume, multiply the maximum volume by one-third: 1/3 * 3rs/4 = 3rs/12.

To find one-third of the tank's maximum volume, we can multiply the maximum volume by one-third:

1/3 × 3rs/4 = 3rs/12

So, one-third of the tank's maximum volume is 3rs/12 liters.

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Answer:2

Step-by-step explanation: 1/2=0.5   0.5x4=2

Answer:

ocho es 8

Step-by-step explanation:

si quieres a saver mas solo necesitas a preguntar ;)

solo estoy jugando no mi mesajas yo no te quiero solo estoy jugando otra ves si te quiero como un amigo

It's easier to figure it out when both fractions have the same denominator, so let's fix that:

17/40*15/15 is 255/600

8/15*40/40 is 320/600

Notice we are multiplying by a factor of 1 to get equivalent fractions

So 8/15 is bigger

Hope this helped!

8/15

when you divide it it comes out to be 0.533 repeating

but when you divide 17/40 it comes out to be 0.425

so .5 is larger then .4

Answer:

Step-by-step explanation:

The roots are the values of x that make y=0.

  0 = -16x^2 +4x = -4x(4x -1)

The values of x that make the factors zero are solutions to this equation:

  x = 0

  x = 1/4 . . . . . makes the factor (4x-1) equal to zero

The roots of the equation are x=0 and x=1/4.

__

Since y is height and x is time, when y=0, the frog is on the ground. The roots, then, are the times when the frog is on the ground.

The smaller root is the time when the frog leapt.

The larger root is the time when the frog landed.

The roots of the equation y = -16x² + 4x are x = 0 and x = 1/4,

The given equation y = -16x² + 4x models the height y of the frog as a function of time x in seconds.

To find the roots of this equation when y = 0, we need to solve:

0 = -16x² + 4x

This is a quadratic equation.

Quadratic equations can be solved by factoring, completing the square, or using the quadratic formula.

In this case, factoring is straightforward:

0 = x(-16x + 4)

This gives us two solutions

x=0

x=4/16=1/4

The roots are x = 0 and x = 1/4 seconds.

Interpreting the Roots

Answer:

3 11/16

Step-by-step explanation:

7 1/2 - 2 3/16 - 1 5/8

turn all to same fractions using multiplication

by this i mean to only multiply the fractions (both numerator and denomenator)

7 8/16 - 2 3/16 - 1 10/16

Turn them into improper fractions

120/16 - 35/16 - 26/16 =

And solve

3 11/16

Answer:

A I think is the right one