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4 years ago

explain how you could use the work backward problem solving strategy to solve the equation x/4 - 6 = 2

Mathematics

2 answers:

Alona [7]4 years ago

8 0

The answer is x = 32

bulgar [2K]4 years ago

3 0

X/4 = 2+6
X/4 = 8
X = 8x4
X=32

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A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in

oksano4ka [1.4K]

Answer: The speed of the current is 2 miles per hour.

Step-by-step explanation:

We know that the speed of the boat is:

S = 10 mph.

When the boat travels with the current, the speed will be:

S = 10mph + x

where x = speed of the current.

When the boat travels against the current, the speed will be:

S = 10mph - x

Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.

Then we have the equation:

(10mph + x)*T = 6mi

And against the current, in the same time the boat moves 4 mi, then:

(10 mph - x)*T = 4mi

Then we have the system of equations:

(10mph + x)*T = 6mi

(10 mph - x)*T = 4mi

Now, we can take the quotient of these two equations and get:

((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)

(10mph + x)/(10 mph - x) = 3/2

Now we can solve this for x.

(10mph + x) = (3/2)*(10 mph - x)

10mph + x = (3/2)*10mph - (3/2)*x

x + (3/2)*x = (3/2)*10mph - 10mph

(5/2)*x = (1/2)*10mph = 5mph

x = (2/5)*5mph = 2mph.

The speed of the current is 2 miles per hour.

6 0

3 years ago

Read 2 more answers

Help me , this is my homework (Geometry) . I really need help

klemol [59]

8. Similar parts

$\dfrac{6}{18} = \dfrac{AQ}{12}$

$AQ = 12(6)/18=12/3=4$

Choice a

9. The Law of Sines says a:b:c and $\sin A : \sin B \sin C$ are the same ratio.

The sines will go in order for acute angles, we have to convert 120 to its supplement 60 and then the order is 29,31,"60" or opposite sides JK, KL, JL

choice b

10.

DEF and FEG are supplments, FEG=180-DEF=180-114=66

DEF and HEG are opposite angles, so congruent HEG=DEF=114

chioce a

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4 years ago

Josie deposited $450 in bank account. At begin of month. $35.20 is automatically deducted each month. At end of 4 months how muc

Vedmedyk [2.9K]

Step-by-step explanation:

given,

amount she deposited in bank = $450

amount get automatic deducted each month for her gym membership = $35.20

So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8

so, $450 - 140.8 = $309.2

therefore, $309.2 amount will remain at the end of 4 months.

3 0

3 years ago

It’s another part to it all I need is 6 A. And B. And 7 D. that’s all I need to be exempt from exams I don’t think I have many p

shepuryov [24]

Answer:

See the photo for the answer

b = 6 feets on 6.b

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3 years ago

Find the value of L. Perimeter =22. Width is 5. So what is L. On a square

SSSSS [86.1K]

P= L+W
P= Perimeter, L= Length and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.

4 0

3 years ago