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4 years ago

13

A ferry can travel 100 miles with the current in the same amount of time it takes to travel 60 miles against the current. If the

speed of the ferry is 40 mph, what is the speed of the current?

1 answer:

makvit [3.9K]4 years ago

3 0

$\frac{100}{40+x} = \frac{60}{40-x} 
$
cross multiply
100(40-x) = 60(40 + x)
solve for x
x= 10

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solniwko [45]

B)He forgot to record and subtract the fee for writing a check

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~Mathlete12321~

8 0

3 years ago

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the num

shepuryov [24]

<em><u>Question:</u></em>

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right. Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

A) Brian and Damien both answered 2 fewer questions correctly than Chris did.

B) Brian and Damien both answered 4 more questions correctly than Chris did.

C) Brian and Damien both answered 2 more questions correctly than Chris did.

D) Brian and Damien both answered 4 fewer questions correctly than Chris did.

<em><u>Answer:</u></em>

Option C

Brian and Damien both answered 2 more questions correctly than Chris did

<em><u>Solution:</u></em>

Let "x" be the number of correct answers of Brian

Let "y" be the number of correct answers of Chris

Let "z" be the number of correct answers of Damien

<em><u>The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right</u></em>

$x = 14 + \frac{1}{4}y\\$ ---------- eqn 1

<em><u>Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly</u></em>

$z = \frac{5}{4}y - 2$ ---------- eqn 2

<em><u>Brian and Damien have the same score</u></em>

x = z -------- eqn 3

Therefore,

$14 + \frac{1}{4}y = \frac{5}{4}y - 2\\\\\frac{5}{4}y - \frac{1}{4}y = 14+2\\\\y = 16$

<em><u>Substitute y = 16 in eqn 1</u></em>

$x = 14 + \frac{16}{4}\\\\x = 14 + 4\\\\x = 18$

Therefore, by eqn 3,

z = 18

Thus we get,

Number of correct answers of Brian = 18

Number of correct answers of chris = 16

Number of correct answers of Damien = 18

Therefore, correct statement is:

Brian and Damien both answered 2 more questions correctly than Chris did

5 0

3 years ago

Which of the following questions would use the calculation

Schach [20]

5x.
B=8/5=1.6

D=5/8=0.625

4 0

3 years ago

Solving multi step equations :<br><br><br><br> 3.4 +0.5y + 1.1 = -4.5

elena-s [515]

3.4+0.5y +1.1=-4.5

3.4+1.1+0.5y= -4.5

4.5+0.5y=-4.5

move 4.5 to the other side

sign changes from +4.5 to -4.5

4.5-4.5+0.5y= -4.5-4.5

0.5y= -4.5-4.5

0.5y=-9

divide both sides by 0.5

0.5y/0.5= -9/0.5

Answer: y= -18

3 0

3 years ago

Solve the following equations 3m = 2(m - 3) its on acellus! pls help!!

Sergio039 [100]

Answer:

m = -6

Step-by-step explanation:

3m = 2(m - 3)

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3m = 2m - 6

Subtract 2m from each side

3m -2m = 2m-2m -6

m = -6

7 0

3 years ago

Read 2 more answers