67.935 in expanded form in fraction form after the decimal

Answers

Answer 1

Answer: Hello,

67.935=67+935/1000=67+187/200 = 67|187/200
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If the midpoint between (18, y) and (20, -15) is (19, -5), find the value of y.

Answers

$(18, y) \ and \ (20, -15) \ is \ (19, -5) \n \n(x _(m),y _(m)) =[ (x_(1) +x _(2))/(2) , (y _(1)+y _(2))/(2)] \n \n (19,-5)= [(20+19)/(2),(y-15)/(2)] \n \n(19,- 5)= [19,(y-15)/(2)] \n \n -5= (y-15)/(2) \ \ / *2\n \n-10 = y-15\ \ | +15\n \ny=-10 + 15 \n \n y = 5\n \n(19,- 5)= [19,(5-15)/(2)] \n \n(19,- 5)= ( 19,-5) \n \n \n Aswer : y = 5$

Nina has 84 stickers. She wants to divide the stickers equally among 5 friends. How many stickers does each friend get? how many stickers are left over?

Answers

As per the concept of unitary method, each friend will get 16 stickers, and there will be 4 stickers left over.

The unitary method is a technique that helps to solve problems related to ratio and proportion. It is based on the concept of "per unit" or "per one". In this problem, we need to find out how many stickers each friend will get if we divide the total number of stickers equally among them. To do this, we can use the unitary method.

Find the total number of stickers divided by the number of friends

To divide the stickers equally among 5 friends, we need to find out how many stickers each friend will get. We can do this by dividing the total number of stickers (84) by the number of friends (5).

84 ÷ 5 = 16 with a remainder of 4

To know more about unitary method here

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Suppose the function shown below was expressed in standard form, y=ax^2+bx+c. What is the value of a? the graph shows a parabola facing downward with a vertex of (1,4) and the x intercepts are (3,0) and (-1,0) with a y intercept of (0,3)...?

Answers

y = -a(x - 1)^2 + 4 = -a(x^2 - 2x + 1) + 4 = -ax^2 + 2ax - a + 4 . . . (1)
y = -a(x - 3)(x + 1) = -a(x^2 - 2x - 3) = -ax^2 + 2ax + 3a . . . (2)

Equating (1) and (2), we have that
-a + 4 = 3a
3a + a = 4
4a = 4
a = 1

Required equation is
y = -x^2 + 2x + 3

Therefore, a = -1

This is the graph they are referring to

Solve - 16y = da for d. The solution is d = [?]

Answers

Answer:

d = - $(16y)/(a)$

Step-by-step explanation:

given

- 16y = da ( isolate d by dividing both sides by a )

$(-16y)/(a)$ = $(da)/(a)$ , that is

$(-16y)/(a)$ = d or

d = - $(16y)/(a)$

Machine X makes 300 boxes in 3 mins and machine Y makes 300 boxes in 2 mins. With both machines working, how long will it take to make 300 boxes?

Answers

-- Machine-X takes 3 minutes for 300 boxes . . . 3/300 = 1/100 minute per box.
-- Machine-Y takes 2 minutes for 300 boxes . . . 2/300 = 1/150 minute per box.

-- 3/150 = 2/100 . . . In 3/150 second, they can make 5 boxes by working together.

-- They need to make 5 boxes (300/5) = 60 times.
-- They'll need to work for 60 times (3/150) minutes.

60 (3/150) = 180/150 = 1.2 minutes = 1 minute and 12 seconds.

Which step should be completed first in the following problem 4(27÷3²)

Answers

Answer:

3²

Step-by-step explanation:

We have to use BPEMDAS Order of Operations:

B - Brackets

P - Parenthesis

E - Exponents

M - Multiply

D - Divide

A - Addition

S - Subtraction

We use this order left to right. Since we have parenthesis, we look at that first. Inside, we have division and exponents. Since exponents come first, we have to evaluate 3² first.

Answer:

square the 3

Step-by-step explanation:

In the order of operations, you must do the exponent inside the parentheses first, so the first step is:

4(27 ÷ 3²) =

= 4(27 ÷ 9)

Answer: square the 3

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