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Gnom [1K]
3 years ago
7

Identify the percent of change (POC) as an increase or decrease. Then find the percent of change. Round to the nearest tenth of

a percent if necessary.
-12 inches to 36 inches
-50 punds to 35 pounds
-10 gallons to 24 gallons
-16 centimeters to 44.2 centimeters

If you could explain this as simple as possible with the work, for I have problems understanding things well, then that would be a HUGE help!

If you can answer all 4, I'm awarding 20 points!!
Mathematics
1 answer:
Andrej [43]3 years ago
6 0
Percent change=(change/original) tiimes 100 change= |original-new| so 12 to 36 |12-36|=|-24|=24 so pcercent change=100 times (24/12)=100 times 2=200% 50 to 35 |50-35|=|15|=15 percent change=100 times (15/50)=100 times 100 times 0.30=30% 10 to 24 |10-24|=|-14|=14 percent change=100 times (14/10)=100 times 1.4=140% 16 to 44.2 |16-44.2|=|-28.2|=28.2 percent change=100 times (28.2/16)= 100 times 1.7625=176.25% answers are -12 inches to 36 inches: 200% -50 punds to 35 pounds: 30% -10 gallons to 24 gallons: 140% -16 centimeters to 44.2 centimeters: 176.25%
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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

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7 0
3 years ago
Determine the intercepts of the line that correspond to the following table of values.
Dahasolnce [82]
We know that
to find the equation of a line i need two points

let
point A-----> (-21,10)
point B-----> (-28,14)

step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=(14-10)/(-28+21)----> m=-4/7

step 2
find the equation of a line with
m=-4/7  and the point A (-21,10)
y-y1=m*(x-x1)------> y-10=(-4/7)*(x+21)---> y=(-4/7)x-12+10
y=(-4/7)x-2

step 3
find x intercept
for y=0
y=(-4/7)x-2------> 0=(-4/7)x-2-----> 4/7x=-2----> x=-14/4----> x=-3.5

the x intercept is (-3.5,0)

step 4
find the y intercept
for x=0
y=(-4/7)x-2--------> y=-2
the y intercept is (0,-2)

the answers are
the x intercept is (-3.5,0)
the y intercept is (0,-2)

see the attached figure


7 0
3 years ago
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