Change 0.28 to a fraction

Answers

Answer 1
Answer: 0.28 is the same thing as 28/100.

We can divide 4 to the top and the bottom.

28 / 4 = 7
100 / 4 = 25

Therefore our answer in simplest form is 7/25.
Answer 2
Answer: 0.28=(28)/(100)=(7)/(25)

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Use estimation to chose the correct value for this expression 5.1 X 2
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How to turn it from standard form to slope intercept form

Answers

7 . X + 2y = 4 (move x beside 4, since it's positive it will be negative)

2y = 4 - X (divide terms to 2)

| 2y ÷ 2 = y | 4 ÷ 2 = 2 | -X ÷ 2 = -1/2 (There's always an imaginary 1 beside x, only just x).

y = 2 - 1/2x (rearrange terms)

y = -1/2x + 2

9. -2x + 3y = -6 (move -2x beside -6, since it's negative it will turn into a positive)

3y = -6 + 2x (divide by 3)

y = -2 + 2/3x (rearrange)

y = 2/3x -2

11. 5x - 2y = 14

-2y = 14 - 5x (-2 ÷ -5x is 5/2x, but since numerator and denominator are negative, fraction turns positive)

y = -7 + 5/2x

y= 5/2x - 7

13. 4x + 3y = 12

3y = 12- 4x

y = 4 -4/3x

y = -4/3x + 4

15. x + 3y = -3

3y = -3 -x

y = -1 -1/3x

y -1/3x - 1

There you go!

Just remember those steps and you should be fine :)

Given the two expressions shown below:A. square root of 64 plus square root of 5
B. square root of 64 plus square root of 4

Which statement best describes the two expressions?

A. Both are rational.
B. Both are irrational.
C. A is rational, but B is irrational.
D. A is irrational, but B is rational.

Answers

The statement that best describes the two expressions is
D. A is irrational, but B is rational

square root of 64 plus square root of 5 is 8 plus square root of 5, the square root of 5 is an irrational number which makes the entire expression an irrational number

square root of 64 plus square root of 4 is 8 plus 2 which is equal to 10 and is a rational number

A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. If a cup of tea has 66 milligrams of caffeine, how much caffeine is in a cup of coffee? Write this problem in an equation.

Answers

Answer:

There is 120 milligrams of caffeine in a cup of coffee.

Step-by-step explanation:

A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. A cup of tea has 66 milligrams of caffeine.

Let the amount of caffeine in a cup of coffee be = x

In the equation form, we can denote this as:

66=x-54

Solving for x

x=66+54

x = 120

Therefore, there is 120 milligrams of caffeine in a cup of coffee.

x-54= 66        x being the amount of caffeine in the cup of coffee.

Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2?a) (x-3)^2 = 20(y-1)
b) (y-1)^2 = 20(x-3)
c) (y-1)^2 = -20(x-3)
d) (x-3)^2 = 20(y-1)

Answers

Answer with Step-by-step explanation:

We have to find:

the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2

General form of Parabola that opens left or right:

(y−k)²=4p(x−h)

Vertex =(h,k)  

Directrix: x=h−p

Here, h=3,k=1 and h-p=-2  i.e. p=h+2=5

Hence, equation of parabola in this case equals

  (y-1)²=4×5(x-3)

i.e. (y-1)²=20(x-3)

Hence, correct option is:

b)  (y-1)²=20(x-3)

Hello,

Remenber:
if S=(0,0) y²=2px then F=(p/2,0 and d:x=-p/2


Let's pose
x'=x-3
y'=y-1 axes passing by the point (3,0) in base (x,y) and (0,0) in base (x',y')

y'²=2p'x'
d': x'=-5=-p'/2 ==> p'=10 and y²=20x'
Returning in base (x,y) : (y-1)²=20(x-3)

Answer B

What is the solution of the equation?-10 + sqrt x+8 = -4

Answers

D:x+8\geq0\to x\geq-8\n\n-10+√(x+8)=-4\ \ \ /+10\n\n√(x+8)=-4+10\n\n√(x+8)=6\iff x+8=36\n\nx=36-8\n\nx=28\in D

In a group of 55 people, 33 are coffee drinkers and 12 are tea drinkers. Assuming that no one in this group drinks both tea and coffee, what is the probability that a person picked at random from the group does not drink tea or coffee?

Answers

12+33=45. 45/55 people drink tea or coffee. This means if you picked someone randomly there would be a 45/55 chance that they drink tea or coffee. This means there is a 10/55 chance of someone who drinks neither. We can simplify this to 2/11.

Answer:

D. 2/11

Step-by-step explanation:

For all Plato users.