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lisov135 [29]
3 years ago
5

In The cafeteria, 100 milk cartons were put out for breakfast. At the end of breakfast, 27 remained. What is the ratio

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0
Number of milk cartons put out for breakfast = 100

Number of cartons remaining at the end = 27

Number of cartons consumed = 100 - 27 = 73

Ratio of cartons remaining / cartons consumed = 27/73
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MATH HELP!
Irina18 [472]
You have the correct answer. Nice work. If you need to see the steps, then see below

-------------------------------------------------------------------------------

First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1

Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3

So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint

---------------------

Now we must find the slope of segment HI

H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3

So the slope of the perpendicular bisector is -3

-----------------------

Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0

So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x

So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)

7 0
3 years ago
give an example of a convergent infinite series whose sum equal 3/5. explain how you know your series converges and write out wo
krek1111 [17]

Answer:

The series 1/5, 2/15, 4/45, 8/135... converges and sums up to 3/5

Step-by-step explanation:

Consider the infinite geometric series

1/5, 2/15, 4/45, 8/135...

With first term, a=1/5

common ratio, r = ⅔

The series converge because the common ratio, |r|<1.

The sum to infinity of a geometric series, S= a/(1-r)

S= 1/5 ÷ (1-⅔) = 1/5 ÷ 1/3 = 3/5

Therefore, the geometric series 1/5, 2/15, 4/45, 8/135... sums up to 3/5.

5 0
3 years ago
The sum of two numbers is 51.
Firdavs [7]

Answer:

21 and 30

Step-by-step explanation:

x + y = 51

x - y = 9

add the two equations and y's will cancel out

2x = 42  divide by 2

x = 21   so put 21 in for x in the top equation and solve

21 + y = 51

y = 30

4 0
2 years ago
20 POINTS!! Please help asap ive reposted this 3 times and i only have a little time left! thank you so much! please answer all
Evgen [1.6K]

Answer: 5. AE

               6. 6cm

               7. 20 in

                8. Angle DCF

Step-by-step explanation:

3 0
2 years ago
20+x=25 so I'm doing addition property of equality so what does this mean
Stels [109]

The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.

It's asking "what number can we add to both sides of this equation so that we isolate x?"

Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)

So we really have this equation: x+20 = 25

We can add -20 to both sides to cancel out the +20 on the left side

x+20 = 25

x+20+(-20) = 25+(-20) ...... add -20 to both sides

x = 5

This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25

3 0
2 years ago
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