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3 years ago

Determine if "h=3" is a solution. 3h=2(h+2)-1

Mathematics

2 answers:

lutik1710 [3]3 years ago

4 0

Answer:

Yes is a solution

Step-by-step explanation:

3h = 2(h+2)-1

We replace h=3

3*3 = 2(3+2) - 1

Solve

9 = 2(5)-1

9 = 10 - 1

9 = 9

Is correct h= 3

when we manage to find the same value on both sides of equality it means that the value entered is a possible option

zhenek [66]3 years ago

4 0

Answer:

Step-by-step explanation:

3h=2(3+2)-1

3h=6h+4-1

3h=6h+3

-6h=-6h+3

-3h=3

-3h/-3=3/-3

h=-1

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Use transformations to solve the equation. e – 14.4 = –20.8

murzikaleks [220]

E = -20.8 + 14.4
= 6.4

8 0

3 years ago

A bucket that weighs 4lband a rope of negligible weight are used todraw water from a well that is 80ftdeep. The bucket is filled

liq [111]

Answer:

Workdone = 3200 lb.ft

Step-by-step explanation:

We are told that the bucket is filled with 40 lb of water but water leaks out of a hole in the bucket at a rate of 0.2lb/s

Thus,

Weight of water at any given time (t) would be;

w(t) = 40 - 0.2t - - - - (1)

We are told the bucket is pulled up at a rate of 2ft/s.

Thus, height at time (t); y = 0 + 2t = 2t

Since y = 2t,

Then,t = y/2

Put y/2 for t in eq 1

Thus; w(y) = 40 - 0.2(y/2)

w(y) = 40 - 0.1y

Now, at y = 80 ft, we have;

w(80) = 40 - 0.1(80)

w(80) = 40 - 8 = 32 lb

Since 32 lbs are left, it means there is always water in the bucket.

Thus, work done is;

W = 80,0[∫(Total weight).dy]

W = 80,0[∫[(weight of rope) + (weight of bucket) + (weight of water)]dy]

W = 80,0[∫[0 + 4 + 40 - 0.1y]dy]

Integrating, we have;

W = [44y - y²/20] at boundary of 80 and 0

So,

W = [44(80) - 80²/20] - [0 - 0²/20]

W = 3200 lb.ft

8 0

3 years ago

Zack, teri, and paco combined the foreign stamps from their collections for a stamp show. out of their collections. 3/10 of zack

babymother [125]

The complete question in the attached figure

Let
Z---------------- > number of zacks stamps collections for a stamp show
T---------------- > number of teri's stamps collections for a stamp show
P--------------- > number of pacos stamps collections for a stamp show
we know that
Z=(3/10)*30-----------> Z=9
T=(5/6)*18------------ > T=15
P=(3/8)*24------------->P=9

the answer is
number of zacks stamps collections for a stamp show was 9
number of teri's stamps collections for a stamp show was 15
number of pacos stamps collections for a stamp show was 9
In their display were 33 stamps