1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sladkaya [172]
3 years ago
15

On the River current a canoe traveled 30 km in 3 hours and 20 min, against the current the canoe traveled 28 km in 4 hours. how

far will the canoe go in 1.5 hours on the lake?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

12 km

Step-by-step explanation:

Let

x km/h = speed of the canoe on the lake

y km/h = speed of the current

<u>With the current:</u>

Speed = x + y km/h

Distance = 30 km

Time = 3 hours 20 minutes = 3\dfrac{1}{3} hours

Thus,

30=3\dfrac{1}{3}(x+y)\\ \\30=\dfrac{10}{3}(x+y)\\ \\90=10(x+y)\\ \\x+y=9

<u>Against the current:</u>

Speed = x - y km/h

Distance = 28 km

Time = 4 hours

Thus,

28=4(x-y)\\ \\x-y=7

Add these two equations:

x+y+x-y=9+7\\ \\2x=16\\ \\x=8\ km/h

<u>On the lake:</u>

Time = 1.5 hours

Speed = 8 km/h

Distance =8\cdot 1.5=12\ km

You might be interested in
If you are solving the equation by factoring, which of the following equations would you use the zero product property on?
Artist 52 [7]

Answer:

(x + 5)(x + 10) = 0

Step-by-step explanation:

When you solve for the equation: \frac{1}{x-4}-\frac{14}{x+2}+1=0, you get that the answer is x=10,\:x=5.

<em>Hope this helped!!</em>

8 0
3 years ago
Describe the transformations of the given function:<br><br> f(x)=−14|x−2|+5
statuscvo [17]

Answer:

im busy so i cant right now

Step-by-step explanation:

7 0
3 years ago
Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic
Semenov [28]

Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

7 0
2 years ago
Define geometric relationship​
blagie [28]

Answer:

Geometric relationships control the orientation of an element with respect to another element or reference plane. For example, you can define a tangent relationship between a line and an arc. ... For example, a connect relationship and a tangent relationship can be used where an arc meets a line. (make me brainliest)

7 0
3 years ago
Suggested turkey cooking times at 180 degrees Celsius by weight:
Sonja [21]

Answer:

4kg : 45 x 4 + 20 = 200 minutes

5.5kg: 40 x 5.5 = 220 minutes

8kg: 35 x 8 = 280 minutes

The cooking time is directly proportional to weight in Turkey C

Hope this helps

Please mark brainiest

4 0
3 years ago
Other questions:
  • What was the original price if after increase by 30% it becomes $520?
    9·1 answer
  • The figure shows ∠AOC drawn with a protractor. What type of angle is it and what is its measure?
    7·2 answers
  • Rewrite it as a function and isolate y. ​
    8·1 answer
  • if you have an accurate, complete scale drawing and the scale, which measurements of the objects of the drawing can you find
    7·1 answer
  • Which of the following is an example of the associative property of multiplication? 7×(3+5)=21+35, 7×(3×5)=(7×3)×5, 7×(3×5)=7×(5
    9·1 answer
  • Doesanyoneknowtheanswertothis???
    14·1 answer
  • Find the slope of the line that passes through (-34, 72) and (31, 27).
    14·2 answers
  • Write the slope intercept form of a line that passes<br> through (3, -2) and is 1 to y = x + 3.
    12·1 answer
  • HellPlease help I have no idea what the answer is
    8·2 answers
  • At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!