If y is directly proportional to x and y = 17.5 when x = 21.

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²)  = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)²  = 128 cm²

Answer: $119

Step-by-step explanation:

Let's take this equation

85(n)

n will equal 1.40 as the price mark up is 140%

85(1.40)

$119

Answer:

6 minutes is the most reasonable time to crawl 65 inches.

Answer:

72%

Step-by-step explanation:

%/100 = is/of Write formula

x/100 = 36/50 Substitute known values

50x=3600 Cross multiply

/50   /50 Divide both sides by 50 to isolate x

x    =72

Answer:

Your answer is 5xz + 2xy - 3yz

Step-by-step explanation:

The expression is not factorable with rational numbers.

Therefore, You cannot factor the equation.

~Hoped this helped!~

~Brainiliest, please~

Answer:

-2r3t2 + 3rt – 16

Step-by-step explanation:

Like terms have the same variables with the same exponents on each variable. Add their coefficients, and keep the same variables and exponents.

Answer:(-6.5,-5)

Step-by-step explanation:

 P = (3A +1B)/(3+1)

 P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)

your answer will be

w=16°

X=148°

Step-by-step explanation:

hope it helps you

have a great day!!

Music 28%

Athletics 42%

Neither 30%

Answer:

m = 60/6

60 = 6 x m

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.

Answer:

Answer: 13÷14 is equal to 13/14

Answer:

what is the speed of the train? if that is miles per hour just figure out what 75% is of that number

Step-by-step explanation:

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

Answer:

78:4

Step-by-step explanation:

Answer:x=3

Step-by-step explanation:

the 3 angles of a triangle equal 180

you add 105 and 46, which equals 151

you subtract 151 from 180 to see what the missing angle is (29)

you would make 6x+11 equal to 29

-subtract 11 from 29= 18

6x/6, 18/6

the answer is 3

hope this helps! :)

Answer:

The answer is x=16 so whatever the equations should look like it should be this:

Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16

Answer:

A. SAS

the triangle is congruent by side angle and side

Answer:

10

Step-by-step explanation:

10 goes into 30, 70, and 20.

Answer:

x = -8/5 = -1 3/5

Step-by-step explanation:

2{x-3}+3{x+3}={-5}

Expanding the brackets:

2x - 6 + 3x + 9 = -5

5x = -5 + 6 - 9

5x = -8

x = -8/5.

Answer:

x=-8/5 is your answer

Step-by-step explanation:

2{x-3}+3{x+3}={-5}

2x-6+3x+9=-5

5x+3=-5

5x=-5-3

x=-8/5

Answer:

84 Sq in

Step-by-step explanation:

area of the composite figure = Area of square + Area of triangle

[tex] = {9}^{2} + \frac{1}{2} \times (9 - 7) \times 3 \\ \\ = 81 + \frac{1}{2} \times 2 \times 3 \\ \\ = 81 + 3 \\ \\ = 84 \: {in}^{2} [/tex]

Answer:

Slope = 1/3

Step-by-step explanation:

Hope this helps.

Answer: c

Step-by-step explanation:

Answer:

A(t)+900=x

B(t)+500=x

for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer

Step-by-step explanation:

you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300

Answer:

y = 2/5x + 5

Step-by-step explanation:

I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...

y2-y1/x2-x1=

7-5/-5-0=

2/5 --> So 2/5 is the slope, and that finishes the equation

Final equation in point slope form: y=2/5x+5

HOPE YOU UNDERSTAND NOW!!!! :)

The equation of the line that passes through the point (0, 5) and (-5, 7) is

y = - 2/5 x + 5

The equation can be represented in the slope intercept form below

where

m = slope

b = y- intercept

(0, 5)(-5, 7)

The slope can be found below

m = 7 - 5 / -5 - 0  = 2 / -5 = - 2/5

Therefore, using y = mx + b format

y = -2/5 x + b

let's find b using the coordinate  (0, 5)

5 = - 2 /5 (0) + b

b = 5

Finally, the equation is

y = - 2/5 x + 5

read more: https://brainly.com/question/16569095?referrer=searchResults

Answer:

(3 x)/(5 x + 2)

Step-by-step explanation:

Simplify the following:

(3 x^2)/(5 x^2 + 2 x)

Hint: | Factor common terms out of 5 x^2 + 2 x.

Factor x out of 5 x^2 + 2 x:

(3 x^2)/(x (5 x + 2))

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).

Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):

(3 x^(2 - 1))/(5 x + 2)

Hint: | Evaluate 2 - 1.

2 - 1 = 1:

Answer:  (3 x)/(5 x + 2)

Answer:

The answer is [tex]\frac{3x}{5x+2}[/tex]

Step-by-step explanation:

1) Factor out the common term x.

[tex]\frac{3x^{2} }{x(5x+2)}[/tex]

2) Simplify.

[tex]\frac{3}{5x+2}[/tex]

Thereofor, the answer is Option D.