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Svetach [21]
2 years ago
5

A barge moves 7km/hr in still water. It travels 45km upriver and 45km downriver in a total time of 14 hr. What is the speed of t

he current.
Mathematics
1 answer:
hodyreva [135]2 years ago
8 0

Answer:

Step-by-step explanation:

2(3x−5)+4x−10=4x+2(x+6)

Step 1: Simplify both sides of the equation.

2(3x−5)+4x−10=4x+2(x+6)

(2)(3x)+(2)(−5)+4x+−10=4x+(2)(x)+(2)(6)(Distribute)

6x+−10+4x+−10=4x+2x+12

(6x+4x)+(−10+−10)=(4x+2x)+(12)(Combine Like Terms)

10x+−20=6x+12

10x−20=6x+12

Step 2: Subtract 6x from both sides.

10x−20−6x=6x+12−6x

4x−20=12

Step 3: Add 20 to both sides.

4x−20+20=12+20

4x=32

Step 4: Divide both sides by 4.

4x/4 =32/4

x=8

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2 years ago
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.
mamaluj [8]

Answer:

The amount that Obi initially had was £20

Step-by-step explanation:

Let

x ----> amount that Obi initially has

y ----> amount that Rudy has

we know that

\frac{x}{y} =\frac{5}{2}

x=2.5y ----> equation A

x-20=y-8

y=x-20+8

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Solve the system by substitution

substitute equation A in equation B

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solve for y

2.5y-y=12\\1.5y=12\\y=8

Find the value of x

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therefore

The amount that Obi initially had was £20

4 0
3 years ago
Write an algebraic expression for julie runs three miles less than twice the number of miles,n that Hannah runs
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Find the equation for the circle with a diameter whose endpoints are (5,-3) and (2,1).
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

To write an equation for a circle, we need to find the center and the radius.  We need to find the distance between the two endpoints to find the radius.  To do that, use the distance formula:

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√9 + 16 = √25 = 5

If the diameter is 5, the radius is 2.5

Now we need to find the center/midpoint.  Use the midpoint formula:

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Now that we have the center and the radius, we can make our equation.  Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²

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Hope this helps

5 0
3 years ago
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