Translate this statement into an equation.
Half of a number is equal to three times the difference between 27 and 12.

Answer:

Relation between V and c is represented as:

[tex]V = \pi c^{3}[/tex]

When c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.

Step-by-step explanation:

Height of cylinder = Radius of cylinder = c

Volume of cylinder = V

As per formula:

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

Where [tex]r[/tex] is the radius of cylinder and

[tex]h[/tex] is the height of cylinder

Putting [tex]r = h =c[/tex]

[tex]V = \pi c^{2} \times c\\\Rightarrow V = \pi c^{3} ......(1)[/tex]

The values of c is halved:

Using equation (1), New volume:

[tex]V' = \pi (\dfrac{c}{2})^3\\\Rightarrow \dfrac{1}{8} \pi c^{3}[/tex]

By equation (1), putting [tex]\pi \times c^{3} = V[/tex]

[tex]V' = \dfrac{1}{8} \times V[/tex]

So, when c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.

Answer:

(0,-22)

Step-by-step explanation:

its correct, trust me

Answer:

The correct answers is D

D) 360 cubic inches

Step-by-step explanation:

We know that the Area of the base of the can is given by

A = 45 inch²

Initial height of the can = 12 inches

Fraction of height cut off = 1/3

Calculate the final height after cutting off:

Find 1/3 of 12 inches:

[tex]\frac{1}{3}\cdot12=4[/tex]

Subtract the answer from 12 to get final height:

Final height = 12- 4 = 8 inches

Can is a form of cylinder, so:

Volume = (Area)(height)

[tex]V=45\cdot8\\V=360inch^3[/tex]

Step-by-step explanation:

tan Q = opposite / adjacent

tan Q= RO/ OE

tan Q = 8/ 15

Answer:

49,12 ft²

Step-by-step explanation:

r = d/2 = 8ft/2 = 4 ft

A = At + Ac/2

= b×h/2 + π·r²/2

= 6ft×8ft/2 + 3,14·(4ft)²/2

= 3ft×8ft + 3,14×16ft²/2

= 24ft² + 25,12ft²

= 49,12 ft²

Answer:

15y +x = 57(55)

Step-by-step explanation:

Multiplication is the process of multiplying. The product of 1.65 and 1.05×10⁻² is 0.017325.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of 1.65 and 1.05 × 10⁻² can be solved as,

= 1.65 × 1.05 × 10⁻²

= 1.65 × 1.05 × 0.01

= 0.017325

Hence, the product of 1.65 and 1.05×10⁻² is 0.017325.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

Answer:

look down there

Step-by-step explanation:

First ball:

Probability of drawing a white ball is 5/8

Probability of drawing a black ball is 3/8

Second ball:

This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.

Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).

If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.

The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)

The probability of picking a black ball and then another black ball is; Due to conditional probability and is equal to 1/15

Conditonal probability means that the probability of one event is affected or depends on the probability of another event.

Now, total balls in the bag is;

Total balls = 5 + 3 + 2

Total balls = 10 balls

Probability of first picking a black ball is;

P(black ball first) = 3/10

Now, when a black ball is picked, there will ba 9 balls left in the bag of whih only 2 are black. Thus, the probability of picking another black ball is;

P(black ball second) = 2/9

Thus;the probability of picking a black ball and then another black ball is;

P(black ball | black ball) = 3/10 * 2/9

P(black ball | black ball) = 1/15

Read more about Conditional Probability at; https://brainly.com/question/10739997

Answer: $11,600

Step-by-step explanation:

$2000 * 10% = $200

y = 200x + $2,000

12 * 4 = 48

48 = x

y = 200(48) + $2,000

y = $9,600 + $2,000

y = $11,600

Answer:

A

Step-by-step explanation:

[tex]x = ((-b +/- (b^2 - 4ac)) / 2a[/tex]

The degree in the equation is 2.

The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.

Answer:

A. 2

Step-by-step explanation:

The quadratic formula is:

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

An equation of the form   [tex]ax^2+bx+c=0[/tex]  is only quadratic when [tex]a \neq 0[/tex], therefore it is linear.

Also, by definition, a quadratic equation is an equation where the highest exponent is a square.

Answer:

2625 inches ^3

Step-by-step explanation:

20(10.5) =210

210 ( 12.5) = 2625

Answer:

acute

Step-by-step explanation:

every angle is under 90 degrees

Answer:

The triangle is acute.

Step-by-step explanation:

-According the to following triangle, the angles are acute, because acute angles less wider and they measure less than 90°.

-The reason why the triangle is not a right or obtuse, is because right angles are angles that measure exactly 90°, and obtuse angles are angles that are much wider and they measure greater than 90°.

Answer:

See explanation

Step-by-step explanation:

An example of an equation with the distributive property would be:

3(x+4) = 30

The distributive property tells us:

3(x+4) = 3x+12, since the 3 carries into both x and 4.

Therefore, you have:

3x + 12 = 30

-> 3x = 18

-> x = 6

2(3+4)=? would be an equation that you can perform distributive property on.

To solve it, multiply 2x3 and then multiply 2x4 once you have the answers, add them together. That is how to use distributive property. Thanks!

Answer:

One-half times 10 times 24

Step-by-step explanation:

[tex]area \: of \: triangle = \frac{1}{2} \times height \times base \\ \\ area \: of \: triangle = \frac{1}{2} \times 10 \times 24[/tex]

Answer:

One-half times 10 times 24

Step-by-step explanation:

A= 1/2bh

A= 1/2*24*10=120

One-half times 10 times 24

Answer:

green winged

Step-by-step explanation:

coz 1 kg = 1000g

and 900 is closer to 1000

Answer:

green-winged

Step-by-step explanation:

Answer:

60 miles

Step-by-step explanation:

the equation for the cost for traveling from the airport can be represented by y= .50x + 2 + 6

where y is the final cost and x is the amount of miles. plug in 38 to y to get 38 = .50× +2 + 6. Solve for x.

38-6 =.50× +2

32 =.50x +2

32-2=.50x

30=.50x

30/.50=x

60=x

therefore, the 60 miles is how far you can go with $38

Answer:

D) <1 and <2, <1 and <8, <2 and <3, <3 and <8

Step-by-step explanation:

Supplementary angles are angles that add to 180 degrees. So, D is correct.

Answer:

is this a question?

Step-by-step explanation:

Answer:

what are the following?

Step-by-step explanation:

Answer: $3,239

Step-by-step explanation:

(100 shares) times ($32.39 per share) = $3239

:)

Answer:

$3239

Step-by-step explanation:

No of shares = 100

Market price per share = $32.39

Total expenditure

= No of shares * Market price per share

= 100 * $32.39

= $3239

Answer:

Step-by-step explanation:

i dont give the direct answer as it will not help you learn anyything... but i will will give u an exampleso that u understand the concept..

arc length=  2piR theta/360degree

substitute ur values  and then simplify to get the desired answer

hope this helps you

Answer:

arc length=  2piR theta/360degree

substitute your values and then simplify to get the desired answer

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

It is given that the surface area of a rectangular prism, is

[tex]SA=2(ab+ac+bc)[/tex]

where a, b, and c represent the lengths of the edges of the prism.  

We need to find the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches.

Substitute a=12, b=6 and c=4 in the above formula.

[tex]SA=2((12)(6)+(12)(4)+(6)(4))[/tex]

[tex]SA=2(72+48+24)[/tex]

[tex]SA=2(144)[/tex]

[tex]SA=288[/tex]

The surface area of this prism is 288 sq.inches.

Therefore, the correct option is C.

Answer:

The answer is C

Step-by-step explanation:

Answer:

prety sure its 2,3,4,1

Step-by-step explanation:

Answer:

Tamara needs to cover a total of 552 square feet of wall, which is 72 square feet more than the area of the wallpaper she requested for. So, Tamara does not have enough wallpaper to cover the four walls.

Step-by-step explanation:

Given that: width = 8 1/3 feet, length = 11 1/2 feet , height = 12 feet.

The area of a wall to be covered is determined by the product of its length and height, where the width is the thickness of the wall.

Area of the wall = length × height

                          = 11 1/2 × 12

                         = [tex]\frac{23}{2}[/tex] ×[tex]\frac{12}{1}[/tex]

                         = [tex]\frac{276}{2}[/tex]

                         = 138

Area of each wall is 138 square feet.

Total area of the four walls = 138 × 4

                                             = 552

The total area of walls to be covered is 552 square feet.

Therefore:

Tamara needs to cover a total of 552 square feet of wall, which is 72 square feet more than the area of the wallpaper she requested for. So, Tamara does not have enough wallpaper to cover the four walls.

Answer:

I think it is d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{x+8}{4}-\frac{x+5}{4}=\frac{x+8-(x+5)}{4}\\\\=\frac{x+8-x-5}{4}\\\\=\frac{3}{4}[/tex]

Answer:

Bobby saves 4$.

The new price is 16$.

Step-by-step explanation:

I hope you get it right

First input 6x for y in the top equation

[tex]4x-18x=14[/tex]

simplify

[tex]-14x=14[/tex]

divide both sides by -14

[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex]

simplify

[tex]x=-1[/tex]

[tex]y=6*-1[/tex]

simplify

[tex]y=-6[/tex]

check

[tex]-4--18=14[/tex]

simplify

[tex]-4+18=14[/tex]

x=-1 y=-6

(-1, -6)