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Fantom [35]
3 years ago
15

Point M is between points L and N on segment LN. LM=5x, MN=2x+4, and LN=10x-16

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

Answer:

x= 6.6

LM= 33

MN= 17.2

LN=50

Step-by-step explanation:

10x-16= 5x+2x+4 (LN=LM+MN)

10x-16=7x+4

3x-16=4

3x=20

x=6.6

then plug 6.6 back into equation and round to the nearest whole number.

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Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Alto
lianna [129]
Answer: 48

------------------------------------------------------------------------------
Define the number of cakes they baked in term of x
------------------------------------------------------------------------------
Let the number of cakes Kay baked be x

Kay = x
Tim = 3x                ← Tim baked 3 times as many as Kay
Griff = 1.5x            ← Griff baked 1/2 as many as Tim

------------------------------------------------------------------------------
Construct the equation and solve for x
------------------------------------------------------------------------------
The total number of cakes baked was 88.

x + 3x + 1.5x = 88        ← Combine like terms
5.5 x = 88                     ← Divide by 5.5
÷5.5    ÷5.5
x = 16

------------------------------------------------------------------------------
Find the number of cakes each baked
------------------------------------------------------------------------------
Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24

------------------------------------------------------------------------------
Answer: Tim baked 48 cakes.
------------------------------------------------------------------------------
3 0
3 years ago
Which of the following represents<br> the graph of this equation?<br> y = 1/2|x|
Aliun [14]

The graph is shown in the attached image.

6 0
2 years ago
One gram of water has a volume of 1 millimeter. What is the volume of the water if it has a mass of 1 kilogram
Zinaida [17]
There are 1,000 grams in a kilogram. 
Each gram of water has a volume of 1 milliliter (the question said millimeter but that measures length and I think it was meant to say milliliter). 
Since there are 1,000 grams with a volume of 1 millimeter each, the volume is 1,000 milliliters, which is equal to 1 liter. 
Hope this helps!

8 0
3 years ago
What is the equation of a line, in point-slope form, that passes through (-8, 1) and has a slope of 5/6?
max2010maxim [7]

Answer:

y-1=\frac{5}{6}(x+8)

Step-by-step explanation:

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2. y1 is the y of your given point and x1 is the x of your given point

3. m is the slope

5 0
2 years ago
I also need help with this one
solmaris [256]
The amount of pizza Mark would have is
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6 0
3 years ago
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