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Zanzabum
2 years ago
6

Which expression is equivalent to 6+7n+4+8n

Mathematics
2 answers:
kompoz [17]2 years ago
8 0

Answer:15n+11

Step-by-step explanation: Add 7n and 8n to get 15n then add 6&4 to get 11

AysviL [449]2 years ago
4 0

Answer:

10+15n

Step-by-step explanation:

6+4=10

7n+8n=15n

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Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
3 years ago
Use inverse operations to solve the equation. -5x=65
kicyunya [14]
Divide both sides by -5 to get x= -13
7 0
3 years ago
Read 2 more answers
A recipe calls for blueberry muffins cost for 2 3/4 cup of blueberries. You are making 1/3 of the recipe. How much blueberries s
tester [92]

Answer: 8/9 cups

Step-by-step explanation:

The word 'of' means 'times' as far as fractions are concerned. In this case, we have 1/3 of 2 1/3.

First, it is a good idea to make 2 1/3 an improper fraction - as 8/3, so now we have:

1/3 of 8/3, but since 'of' means 'times' we have,

1/3 x 8/3 = 8/9

The answer is 8/9 cups.

7 0
3 years ago
In ΔABC, if AB = 10 and BC = 6, AC can NOT be equal to
Goshia [24]

Answer:

16

Step-by-step explanation:

adding any two sides of a triangle is allways greater than the third side

6 0
3 years ago
PLEASE HELP!! if f(x)= 2x^2-11, find f(4)
Lemur [1.5K]

Answer: f(4) = 21

Step-by-step explanation:

2(4)^2-11

4^2 = 16

2(16)-11

Multiply 2 and 16

32 - 11

Subtract

21

4 0
3 years ago
Read 2 more answers
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