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Montano1993 [528]
3 years ago
12

A boat travels 30 miles up the river in the same amount of time it takes to travel 38 miles down the same river. If the current

is 2 miles per hour, what is the speed of the boat in still water?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0
X miles per hour  -  <span> speed of the boat in still water
(x - 2)  -  speed up the river
(x + 2)  -  speed down the river
</span>
\frac{30}{x - 2} = \frac{38}{x + 2}
30 * (x + 2) = 38 * (x - 2)
30x + 60 = 38x - 76
- 8x = - 136
x = 17 miles per hour  -  <span>the speed of the boat in still water.</span>
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Among 18 students in a room, 7 study mathematics, 10 study science, and 10 study computer programming. Also, 3 study mathematics
tatyana61 [14]

Answer:

2 students study none of the subjects.

Step-by-step explanation:

Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).

We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.

8 0
3 years ago
Read 2 more answers
-2 + (–15) = –(2 + 15) what property is this equation
barxatty [35]

Hello.

The answer is: The Commutative property

The Commutative property states that order does not matter. Multiplication and addition are commutative. Commutative is also when you change the order of the equation but its still that same answer.

Have a nice day.




4 0
3 years ago
Simplify by factoring. What are the excluded values? Choose all that apply.
makvit [3.9K]

Answer:

x = -2

x = 8

Step-by-step explanation:

Excluded values are the ones which make the denominator zero

3x² + x - 10

3x² + 6x - 5x - 10

3x(x + 2) - 5(x + 2)

(x + 2)(3x - 5)

x² - 6x - 16

x² - 8x + 2x - 16

x(x - 8) + 2(x - 8)

(x - 8)(x + 2)

[(x + 2)(3x - 5)] ÷ [(x - 8)(x + 2)]

(3x - 5)/(x - 8)

So excluded values are 8, -2

6 0
3 years ago
Can someone please help me with this problem...thanks
makkiz [27]

Answer:

41/15

Step-by-step explanation:

I don't know

8 0
3 years ago
What is x? 6x-18+14x+38
evablogger [386]

Answer:

x= -1

Step-by-step explanation:

6x-18+14x+38

group= 20x+20

set equal to 0

20x+20=0

       -20  -20

20x/20= -20/20

x= -1

8 0
3 years ago
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