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IgorLugansk [536]
2 years ago
12

A boat can travel 40mph in still water. If it travels 126 miles with the current in the same length of time it travels 114 miles

against the current, what is the speed of the current?
no links please
Mathematics
1 answer:
Elena-2011 [213]2 years ago
8 0

Answer:

rate of the current = 2 mph

Step-by-step explanation:

d = rt

Let c = rate of the current

Rate going downstream = c + 40

Time going downstream = 126/(40 + c)

Rate going up stream =  40 - c

Time going upstream = 114/(40 - c)

Since the times are equal, then

126/(40 + c) = 114/(40 - c)

126(40 - c) = 114(40 + c)

5040 - 126c = 4560 + 114c

   240c  =  480

          c = 2 mph

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Step-by-step explanation:

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2 years ago
Four cookies and three cupcakes code $13.25. Five cookies and two cupcakes cost $11.75. Give the system of equations that could
Kaylis [27]

Answer:

  • cookie: $1.25
  • cupcake: $2.75

Step-by-step explanation:

Let x and y represent the cost of a cookie and a cupcake, respectively.

  4x +3y = 13.25

  5x +2y = 11.75 . . . . . . the system of equations

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By Cramer's rule:

  x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25

  y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75

The cost of one cookie is $1.25; the cost of one cupcake is $2.75.

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Cramer's rule gives the solution to the system of equations ...

  ax +by =c

  dx +ey = f

as ...

  ∆ = bd -ea

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7 0
3 years ago
Find angle N and arc NQ. See the image below.
malfutka [58]

Answer:

Angle N=32

Arc NQ=106

Step-by-step explanation:

Angle N is a inscribed angle of Arc MP so that means Angle N measures 32.

Angle NPQ is a inscribed angle of Arc NQ so that means Arc NQ is twice the measures of NPQ so

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3 0
3 years ago
There are 81 people protesting the destruction of the rain forests. There are 36 ​males, 23 of whom are​ students, and 18 female
Leviafan [203]

Answer:

27

Step-by-step explanation:

Given that the total number of people protesting is 81. These people are either male - Student or non student or Females (student or non students)

Given that there are 36 males then number of females

= 81 - 36

= 45

If there are 18 females non students then the number of females protesting that are students

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7 0
2 years ago
MANUFACTURING A shoe manufacturer spends $2.50 to make sandals and $4 to make running shoes. During a typical month, they spend
jonny [76]

Answer:

200 pairs of sandals

Step-by-step explanation:

Represent the sandals with x and the running shoes with y.

In a typical month:

Total = 2500

In April

Total = 3000

Required

The number of sandals in a typical month

<u>In a typical month:</u>

If 1 sandal costs 2.50, then x costs 2.50x

If 1 running shoe costs 4, then y costs 4y

The total is:

2.50x + 4y = 2500

<u>In April:</u>

If 1 sandal costs 2.50, then 2x costs 5x ---- <em>we used 2x because the pairs is doubled </em>

If 1 running shoe costs 4, then y costs 4y

The total is:

5x + 4y = 3000

The equations are:

5x + 4y = 3000

2.50x + 4y = 2500

Subtract

5x - 2.50x + 4y - 4y = 3000 - 2500

2.50x = 500

x = \frac{500}{2.50}

x = 200

8 0
3 years ago
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