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Bumek [7]
3 years ago
14

From 5miles to 16miles

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0
From 5 miles to 16 miles in 11 miles in between.
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Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height double
Vikentia [17]

Answer:

311.6 cm

Step-by-step explanation:

To solve this problem, let's call:

k = Keith's height

n = nephew's height

Since the ratio is 15:7, we have

\frac{k}{n}=\frac{15}{7}\\k=\frac{15}{7}n (1)

Then, Keith's height is increased by 16%, so the new height of Keith is

k'=k+0.16 = 1.16k  (2)

While the nephew's height is doubled:

n'=2n (3)

We also know that Keith is now 34 cm taller than his nephew, so

k'=n'+34 (4)

Substituting (2) and (3) into (4), we get

1.16k=2n+34

And substituting (1),

1.16\cdot \frac{15}{7}n=2n+34

Solving for n,

2.49n=2n+34\\\\0.49n=34\\n=\frac{34}{0.49}=69.4

So the current height of the nephew is:

n'=2n=2(69.4)=138.8 cm

While Keith's current height is

k'=138.8+34=172.8 cm

So their total current height is

k'+n'=172.8+138.8=311.6 cm

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4 years ago
I can’t understand this, I’m kinda du.mb
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3 years ago
How to solve 3y+6=5y-18
MariettaO [177]

Answer:

y = 14

Step-by-step explanation:

move 5y over to the left and you should get -2y +6=-18. subtract 6from both sides and you will now have -2y=-24. divide bothe sides from -2 and you will get y=14

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Answer:

y = 0.5sin(4x)

Step-by-step explanation:

y = A sin(B(x + C)) + D

amplitude is A = 0.5

B = 2π/period = 2π / (1/2 π) = 4

phase shift is C (positive is to the left) = 0

vertical shift is D = 0

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3 years ago
What is the opposite of square root
Olin [163]

the opposite is squared so,

square root of 4 is 2 and 2 squared is 4

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3 years ago
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