john had a ribbon that was 1 1/2 meters long. he used 2 pieces that were each 1/3 of that length. how much ribbon did john use

Answers

Answer 1

Answer: Of means multiplication. So the question is 1/3 X 1 1/2. First make 1 1/2 improper: 3/2. Then multiply the numerators (top numbers) and denominaters (bottom numbers): 1x3=3, 3x2=6, =3/6. Now simplify 3/6=1/2. Then multiply that by 2, since he used 2 pieces: 1/2x2=1. John used 1 meter :)

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Find the coordinate of the vertex of the following parabola algebraically. y=2x^2-28x+80

Answers

Answer:

vertex = (7, - 18)

Step-by-step explanation:

given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_(vertex)$ = - $(b)/(2a)$

y = 2x² - 28x + 80 is in standard form

with a = 2, b = -28 and c = 80, hence

$x_(vertex)$ = - $(-28)/(4)$ = 7

substitute x = 7 into the equation for corresponding value of y

y = 2(7)² - 28(7) + 80 = 98 - 196 + 80 = - 18

vertex = (7, - 18)

31 divided by 3 equals what

Answers

31 divided by 3 is 10.33 repeated

3/31 = 10.3 repeating
3 goes into 3= 1

A certain bleach is 5% active ingredients. In 10 gallons of this bleach, how much is active ingredients? 0.05gallons 0.5gallons 5gallons

Answers

The answer would be 0.5 gallons.

Giving brainliest and 34 points. PLEASE ANSWER THIS USING A TABLE AND SHOW ALL STEPS PLEASE!#2 : In three years, Bob will be twice as old as Karen. Two years ago, Bob was three times as old as Karen. How old is Karen now?

#3 :Five years ago, Amy was six years younger than twice Sarah's age. In 4 years, the sum of their ages will be 45 years. How old will amy be in 10 years?

Answers

Answer:

#2 Karen is 7 years old

#3 Amy will be 31 years old in 10 years

Step-by-step explanation:

2#:

b+3=2(k+3)
b-2=3(k-2)
2b+1=5k
2b-5k=-1
b-2k=3
2b-4k=6
2b-4k-(2b-5k)=6-(-1)
k=7

3#:

a+1=2(s-5)
a+s+8=45
a-2s=-11
a=37-s
37-3s=-11
-3s=-48
s=16
a=37-16
a=21
21+10=31

Can someone explain to me how to do this

Answers

Angles on a straight line add up to 180°, so:

x + 60 = 180

x = 180 - 60

x = 120°

60+60+60=180
180/60=30
x=30

Can 12/15 be simplify

Answers

Yes 12/15 can be simplified.

To simplify 12/15 find the greatest common multiple. The greatest common multiple of 12/15 is 3. Now divide 12/15 by 3.

12 ÷ 3 = 4
15 ÷ 3 = 5

4/5 is the simplified version of 12/15

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