assume that the radius of a cylinder is the same as its height. What would happen to the volume of this cylinder if the radius were doubled and its height was half

Answer: c) -4

Step-by-step explanation:

Get the variables on one side of 3x+y=-2x+8 and the constants on another side:

3x+y=-2x+8

(3x+y)+2x=(-2x+8)+2x

5x+y=8

Now, multiply 5x+y=8 by -2:

-2(5x+y=8)

-10x-2y=-16

Add this equation to -3x+2y=-10:

(-10x-2y=-16)+(-3x+2y=-10)

-13x=-26

x=2

Plug x=2 into -3x+2y=-10:

-3(2)+2y=-10

-6+2y=-10

2y=-4

y=-2

Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4

Answer:

(81x+13)

Step-by-step explanation:

Answer:

A: x=6

Step-by-step explanation:

Answer:

The actual distance between cities = 345 miles

Step-by-step explanation:

Given that:

Scale on map is

1/2 inch = 30 miles

0.5 inch = 30 miles

Distance between two cities on map = [tex]5\frac{3}{4}[/tex] = [tex]\frac{23}{4}[/tex] = 5.75 inches

Actual distance = x

As the relationship is proportional

0.5 : 30 :: 5.75 : x

Product of mean = Product of extreme

30*5.75 = 0.5x

172.5 = 0.5x

0.5x = 172.5

Dividing both sides by 0.5

[tex]\frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345[/tex]

Hence,

The actual distance between cities = 345 miles

Answer:

A. 11160 cubes B. 1395cm^3

Step-by-step explanation:

Volume= length x width x height

Its easiest to solve B. first and use it to solve A.

B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)

A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)

1395 ÷ 1/8 = 11160

Answer:

Step-by-step explanation:

1) Rectangular prism:  l = 7.5 cm ; w = 12 cm ; h = 15.5cm

Volume of rectangular prism = l * w * h

Cubes: edge = 0.5cm

Volume of cube = edge *edge * edge

Number of cubes = Volume of rectangular prism ÷ Volume of a cube

                             [tex]=\frac{7.5 * 12 * 15.5}{0.5*0.5*0.5}\\\\ = \frac{7.5 * 12 * 15.5*1000}{0.5 *0.5 *0.5 *1000}\\\\= \frac{75 * 12 *155 * 10}{5 * 5 * 5}\\\\= 3 * 12 * 31 * 10\\\\= 11160[/tex]

11160 cubes will fit in the prism.

2) Volume of prism = 7.5 * 12 * 15.5

                               = 1395 cm³

Answer: 1/8

Step-by-step explanation:

Answer: y=8

Step-by-step explanation:

3/2=12 so first thing we want to do is multiply the bottom of the fraction and that leaves us with 3=24 then we divide and we get y=8 (that is what i   beign thaught hope this helps in some way)

9514 1404 393

Answer:

  A

Step-by-step explanation:

Rigid transformations and dilation will result in similar figures. Choices B, C, and D are not rigid transformations or dilations, but are different stretches in one direction than another.

The transformation of A is a dilation by a factor of 2 and reflection over the y-axis. It results in similar figures.

Answer:

18

Step-by-step explanation:

1:14

x:252

252/14= 18

Answer:

100 divided by 3=33.33 therefore 33.33 per month

Step-by-step explanation:

Equation:

33.33x9= 299.97

This is for 9 months

An equation that represents the total cost (in dollars) of joining the fitness center after a certain number of months is; y = 20x + 40

An equation is an expression that shows the relationship between two or more numbers and variables.

WE have to pay a registration fee and a monthly fee to join a local fitness center.

The table represents the total cost of joining the fitness center for different numbers of months.

Then the equation is;

y - 100 = 20(x - 3)

y = 20x - 60 + 100

y = 20x + 40

Hence, an equation that represents the total cost (in dollars) of joining the fitness center after a certain number of months is; y = 20x + 40

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

9

Step-by-step explanation:

according to the question

27×⅓

9

Answer:

180 divided by 10 equals 18 and the largest angle is 7 parts 7x10= 126

so 126 is your answer :)  hope this helped.

Answer:

A.

Step-by-step explanation:

I just took the test:) I’m pretty sure it’s right

Answer:

Its A.

Step-by-step explanation:

I did the test and can confirm. :)

Answer:

1 solution

Step-by-step explanation:

To find this out you can just solve the equation so if you simplify you get

2+6x-24=3x

-3x=-22

x=22/3

so one solution

Answer:

So the age of Mr.Jones = 39 yrs. |

the age of his wife = 39-4 = 35 yrs.|

and the age his son = 39-31 = 8 yrs.|

Step-by-step explanation:

Let the age of Mr.Jones = x

So, the age of his wife = x-4 (wife is younger by 4 years)

and the age of his son = x-31 (son is younger by 31 years)

Sum of their ages = x + (x-4) + (x-31) = 82

= x + x - 4 + x - 31 = 82 (By removing the brackets)

= 3x - 35 = 82

= 3x = 117 (By adding 35 both the sides)

= x = [tex]\frac{117}{3}[/tex]= 39

Answer:

A is No.

B is Yes.

C is Yes.

D is No.

Answer:

Step-by-step explanation:

For A ) yes

B) yes

C) no

D) Yes

Use the formula for mid,

mid(x, y)=((X_1  + X_2)/2,(Y_1+Y_2)/2)

Answer:

Step-by-step explanation:

56 divided by 15 equals 3.5, so it's 3.5:1

Answer:

6 litres of blue color should be mixed.

Step-by-step explanation:

To get the paint color as per my wish, paint of different colors are mixed in the ratio = Red : Cream : Blue

              = 2 : 1 : 3

In this mixture, ratio of red and blue color = 3 : 2

This ratio will be constant for any amount of mixture.

Therefore, [tex]\frac{\text{Amount of Blue color}}{\text{Amount of red color}}=\frac{3}{2}[/tex]

[tex]\frac{b}{4}=\frac{3}{2}[/tex]

b = [tex]\frac{3}{2}\times 4[/tex]

b = 6 litres

Therefore, 6 litres of blue color should be mixed with the 4 litres of red color.

Answer: 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35

Step-by-step explanation: i took the diagnostic

Answer:

5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35

Step-by-step explanation:

Answer:

112 seconds

Step-by-step explanation:

According to my calculations girl here to tell you how.

40*14=560

560/5=112

if 14 is hours and 40 is minutes, multiplying and dividing by five gives you

*DRAMATIC MUSIC*

112 seconds

Answer:

176 minutes

Step-by-step explanation:

14 hours equals 840minutes + 40 minutes = 880 minutes

880/5=176

Answer:

it's answer is 2

Step-by-step explanation:

take the reference angle as 60°

base (b) = x

hypotenuse (h) = 4

Now

cos 60 ° = b / h

1/2 = x / 4

1/2 * 4 = x

Therefore x = 2

Hope it will help :)❤

Answer:

12

Step-by-step explanation:

4/3y = 16

4y=48

y=12

Answer:

das easy : 2

Step-by-step explanation:

It is 6 12 in halves is 6

Answer:

x = 70 degrees

Step-by-step explanation:

The supplement of 105 is 75 degrees, and the other angle of the triangle is 35 degrees. So x = 180-75-35 = 70 degrees

Answer:

70

Step-by-step explanation:

Given:

A 4 sided dice is rolled.

To find:

The probability of getting 1.

Solution:

A 4 sided dice is rolled.

On a 4 sided dice, the possible outputs are 1,2,3,4.

Total number of outcomes = 4

Favorable outcomes or number of 1 = 1

Now,

[tex]\text{Probability of getting 1}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]\text{Probability of getting 1}=\dfrac{1}{4}[/tex]

[tex]\text{Probability of getting 1}=0.25[/tex]

Therefore, the probability of getting 1 is 0.25.

Answer:

[tex]The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = 90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =45[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Total\ no.\ of\ wagons\ in\ both\ the\ stations=135\ wagons\\Now,\\Let\ both\ the\ stations\ be\ denoted\ as\ Station\ A\ and\ Station\ B.\\\\Let\ the\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ be\ x\\Let\ the\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ be\ y\\Hence,\\We\ are\ also\ given\ that,\\Number\ of\ wagons\ that\ removed\ from\ Station\ A=45\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ A=36\\Similarly,\\[/tex]

[tex]Number\ of\ wagons\ that\ removed\ from\ Station\ B=36\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ B=45\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ A=x-45+36=x-9\\The\ final\ number\ of\ wagons\ in\ Station\ B=x+45-36=y+9\\Now,\\As\ we\ already\ know,\\No.\ of\ wagons\ in\ Station\ A\ at\ the\ beginning\\ +No.\ of\ wagons\ in\ Station\ B\ at\ the\ beginning=135\\Hence,\\x+y=135\\y=(135-x)\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ B=y+9=(135-x)+9=(144-x)[/tex]

[tex]We\ are\ also\ given\ that,\\Final\ number\ of\ wagons\ in\ Station\ A=\frac{3}{2}* Final\ number\ of\ wagons\\ in\ Station\ B\\Hence,\\(x-9)=\frac{3}{2}*(144-x)\\By\ simplifying:\\2(x-9)=3(144-x)\\2x-18=432-3x\\3x+2x=432+18\\5x=450\\x=\frac{450}{5}=90\\Hence,\\The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = x=90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =y=(135-x)=(135-90)=45[/tex]

Answer: 600m

Step-by-step explanation: i didnt know if you wanted meters or feet or sum else so i just did that