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Schach [20]
3 years ago
13

Solve 3b - 8 = 7b - 2 -4b

Mathematics
1 answer:
lutik1710 [3]3 years ago
6 0

Answer:

Step-by-step explanation:

Start by combing the terms on the right. 3b - 8 = 3b - 2 because 7b - 4b is going to equal 3b

You are now officially stuck. The moment you try and put the 3b's on the same side of the equation, they will cancel out. There is no unique solution.

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If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
Select all names that apply to the Number <br> √4
never [62]

Answer:

\sqrt{4}  = 2

Step by step explaination:

\sqrt{4}   \\  =  \sqrt{ {2}^{2} }  \\  = 2

7 0
3 years ago
Read 2 more answers
50 pts !!! What is the product of x+2 and x-7? Write your answer in standard form.
sukhopar [10]

Answer:

x^2-7x+2x-14 or x squared minus seven x plus two x minus fourteen

Step-by-step explanation:

(x+2)*(x-7)=  x^2-7x+2x-14

First: x^2

Outer: -7x

Inner: 2x

Last: -14

7 0
3 years ago
Read 2 more answers
Which equation, in slope-intercept form, passes through (–2, 4) and has a
kipiarov [429]

Answer:

y=3x+10

Step-by-step explanation:

First, put the equation into point-slope form.

y-y1=m(x-x1)

y-4=3(x+2)

Next, distribute 3 to (x+2) and simplify.

y-4=3x+6

y=3x+10

8 0
3 years ago
Please solve this :)
Karolina [17]

Answer:

1000 is the best answer yet

8 0
3 years ago
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