David canoes 20km downstream in 2.5 hours his return trip takes 4 hours find the rate of his current. A 1.5 km/h B 1 km/h C 0.5 km/h D 2.5 km/h

Answers

Answer 1

Answer:

1.5 km/hour

Step-by-step explanation:

d is the David's speed in still water

c is the speed of the current

Going with the current, he travels d+c km per hour.

Going against the current, he travels d-c km per hour.

d+c = (20 km)/(2.5 hours) = 8 km/hour

d-c = (20 km)/(4 hours) = 5 km/hour

Add the equations to eliminate the c terms

d+c = 8

d-c = 5

----------

2d = 13

d = 6.5 km/hour

c = 8-d = 1.5 km/hour


Related Questions

someone please help??

Answers

9514 1404 393

Answer:

  Isabel

Step-by-step explanation:

Gavin saves 28% (given).

Harry saves 1 -3/4 = 1/4 = (1/4)·100% = 25%.

Isabel saves 3/(3+7)·100% = 30%.

Isabel saves the largest fraction of her salary each month.

A carpenter worked 10 weeks on a particular job, 51/2 days per week and 7 3/4 hours per day. How many hours did the carpenter work on the job?​

Answers

Answer:

= 426 1/4 hr.

Step-by-step explanation:

5 1/2 = 5.5 Days in a week

7 3/4 = 7.75 hr. Per Day

Total hours in a week = 5.5 × 7.75 = 42.625 hr in a week

In 10 weeks = 42.625 × 10 = 426.25 hr.

I'm so lost on this work

Answers

Answer:

Typist A can type faster

Step-by-step explanation:

Replace the t in w = 50t with any numbers and graph the points you get

You can see that typist A can type 50 words per minute when typist B can only type 40

What is 1/9 as whole number

Answers

Answer:

4/3

Step-by-step explanation:

because it is just that

Answer:

0.11111111111

Step-by-step explanation:

Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.

Answers

Y= 6x-18
(Substitute y= 0)
0=6x-18
(Move the variable to the left)
-6x=-18
(Divide both sides)
The answer is X= 3

Answer:

So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.

Step-by-step explanation:

2. Use the figure below and angle relationships to
find the measure of each angle.
54°
1
2

Answers

Answer:

m<1 = 90°

m<2 = 36°

Step-by-step explanation:

✔️m<2 + 54° = 90° (complementary angles)

m<2 = 90° - 54° (subtraction property of equality)

m<2 = 36°

✔️m<1 = m<2 + 54° (supplementary angles)

m<1 = 36° + 54°

m<1 = 90°

The cost of a concert ticket last week was $75. This week the concert ticket is $84. What is the percent increase of the ticket from last week to this week?

Answers

Answer:

12%

Step-by-step explanation:

75/84= 0.88 then you do 1-0.88= 0.12. 12%

Christy works at the grocery store and has 242 apples to fit into 15 boxes. She fills all
of the boxes with exactly the same number of apples and sends the leftover apples to
the homeless shelter. How many apples fit into each box, and how many are going to
the homeless shelter?
16 apples go into each box, and 2 go to the homeless shelter.
O 15 apples go into each box, and 2 go to the homeless shelter,
15 apples go into each box, and 13 go to the homeless shelter.
16 apples go into each box, and 13 go to the homeless shelter.

Answers

Answer:

16 apples and 2 goes to the homeless shelter.

Step-by-step explanation: long division. 242/15= 16 with a remainder of 2.

An item has increased by
23% to £58.
What was the original
price?

Answers

Answer:

The answer is 44.66

Step-by-step explanation:

Multiply 58 by 0.23. This will give you 13.34. Next, you subtract this from 58 to get your original price.

(2 3/8 +1 1/4)+ 2 7/8 using properties of addition

Answers

Answer:

Well The answer is: 9

Step-by-step explanation:

(2 3/8 + 11/4)=

(2 + 3) + (3/8 + 3/4)= 6 1/8

(6 1/8 + 2 7/8) =

(6 + 2) + (1/8 + 7/8) = 9

Pls give me brainliest i hope this helped


How many zeros does the function f(x) = 17x^15 - 11x^9 + 27x^3 – 13x + 12 have?

Answers

Answer:

15

Step-by-step explanation:

The amount of zeros of a function depends on the highest degree of such function.

Since the highest degree of the given polynomial is 15, hence the function will have 15 zeros

Jane has 6 more than twice the number of pairs of shoes that Mary has.

Write an expression for this. Use s as your variable for the shoes.

Answers

Answer:

im not sure

Step-by-step explanation:

Dessie went to a Restaurant with some friends. The three of them split a large pizza. Dessie also ordered breadsticks for $5. Dessie spent a total of $11. How mich was the large pizza? (pls help!)

Answers

Answer: I think its $6

Step-by-step explanation: Because, if she spent a total of $11, and we know that she spent $5, you would subtract the 11 and the 5 to get 6. Hope this helps!

Tatiana is buying b number of books and m number of magazines at the book fair. The books cost $4 each and the magazines cost $2 each. Tatiana's total purchase can be shown with this expression: 4b+2m. Which

expression is equivalent to 4b+2m

Answers

Answer:

[tex]4b + 2m = 2(2b + m)[/tex]

Step-by-step explanation:

Given

[tex]4b + 2m[/tex]

Required

Write an equivalent expression

To do this, we simply write [tex]4b + 2m[/tex] as a product of two factors.

Express 4b as 2 * 2b

[tex]4b + 2m = 2 * 2b + 2m[/tex]

Express 2m as 2 * m

[tex]4b + 2m = 2 * 2b + 2 * m[/tex]

Factor 2 out of the expression:

[tex]4b + 2m = 2 *(2b + m)[/tex]

[tex]4b + 2m = 2(2b + m)[/tex]

Hence:

An equivalent expression is: [tex]2(2b + m)[/tex]

what is the radius of a circle with an area of 212 in squared. please please simplify for me....​

Answers

Answer:

8.22in

Step-by-step explanation:

Area of circle = πr²

r is the radius

Given

Area = 212in²

Substitute

212 = πr²

r² = 212/3.14

r² = 67.52

r = √67.52

r = 8.22in

hence the radius of the circle is 8.22in

Identify the place value of the digit 5 in the following whole number 905

Answers

The place value of 5 in 905 is ones. 0 is the tenths. And 9 is the hundredths.

What is the solution to (4/2)4 + (1 + 3)?

Answers

i think it may be 12

3. A cube has a length of 9 inches. Find its volume.

A. 486 in^3
B.639 in^3
C.729 in^3
D. 819 in^3

Answers

Answer:

C

Step-by-step explanation:

[tex]x^{3}[/tex]=volume of cube

x= length, width, or height

9*9*9=729

C

1. Determining the probability of a coin landing heads up by actually tossing a coin several times is an example of what?


A. sample probability
B. theoretical probability
C. experimental probability
D. outcome probability

Answers

Answer:

C.

Step-by-step explanation:

Theoretical probability and Experimental probability are related in that theoretical probability is based on your reasoning (e.g. two sides; therefore, there is a 50% chance of heads), but experimental probability is where your numbers are based off of actual results (e.g. you landed head 1/4th of the time; therefore, there is a 25% chance of getting heads.)

A diet claims to help lose weight. A dietician wants to see if a particular diet helps lose weight. 120 people were on the diet for 6 months. After 6 months, the sample mean of weight loss was 0.8 pound with sample SD of 2 pounds. The distribution is more or less normal. What kind of hypothesis testing do we use

Answers

Answer:

d. t-test for means

Step-by-step explanation:

Options are "a. z-test for proportions, b. z-test for means, c. none of the other three answers, d. t-test for means"

Sample size = n = 120

Sample mean = x = 0.8

Sample standard deviation = s = 2

Claim: A particular diet helps loss weight.

Hypothesis test

The null and alternative hypothesis is

H0 : μ = 0

Ha : μ < 0

Now, when population standard deviation is unknown we use t-test otherwise use z-test. So, the kind of hypothesis testing that we use is t-test for means.

Can someone please answer my question?????

Answers

Answer:

x ≤ -1

Step-by-step explanation:

3( 3x +2 ) - 5 ≤ -x -9

9x + 1 ≤ -x -9

10x ≤ -10

x ≤ -10 / 10

x ≤ -1

Answer:

x≤-1

Step-by-step explanation:

3(3x+2)-5≤-x-9

9x+6-5≤-x-9

9x+1≤-x-9

    -1      -1

9x≤-x-10

+x    +x

10x≤-10

10     10

x≤-1

Which situation is represented by n + 12 = 25?
A.Sheri has a collection of coins that contains a minimum of 25 coins. Her collection contains nickels and quarters. She has 12 quarters. What are th
possible numbers of nickels in her collection, n?
B.The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the
rectangle, n?
C.There are 25 students in Mrs. Greer's third period class. Twelve of the students are girls. How many boys, n, are in the class?
D.The product of 12 and a number, n, is greater than or equal to 25. What are the possible values of n?

Answers

Answer:

B,

Step-by-step explanation:

The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the

rectangle, n?

The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a standard deviation of 20 minutes. Assuming nothing is known about the shape of the distribution of commuting times, what percentage of these commuting times are between 30 and 110 minutes

Answers

Answer:

At least 75% of these commuting times are between 30 and 110 minutes

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of 70 minutes, standard deviation of 20 minutes.

Since nothing is known about the distribution, we use Chebyshev's Theorem.

What percentage of these commuting times are between 30 and 110 minutes

30 = 70 - 2*20

110 = 70 + 2*20

THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes

Find the area of the following shape:

Answers

Answer:

30 cm

Step-by-step explanation:

the area is 1/2 base x height

so (1/2)x10 x 12

Answer:

60 cm squared

Step-by-step explanation:

The 13 cm is just to distract you.

The formula for calculating a triangle is (base x height)/2.

The base is 10 cm, and the height is 12 cm.

Then you plug in the numbers.

(10 x 12)/2=60 cm squared.

-
Find the size of angle x.
Х
65
35

Answers

Answer:

80 degrees

Step-by-step explanation:

The total angle measure of a triangle, no matter the type, is always 180 degrees.

Using this, we can calculate the missing angle:

[tex]180=65+35+x[/tex]

[tex]x=180-(65+35)[/tex]

[tex]x=180-100[/tex]

[tex]x=80[/tex]

The measure of angle x in the triangle is 80 degrees.

What is the measure of angle x?

The figure in the image is a triangle.

From the diagram:

Angle 1 = x

Angle 2 = 65 degrees

Angle 3 = 35 degrees

To solve for the measure of angle x, we use the fact the the sum of the interior angle of a triangle equals 180 degrees.

Hence:

Angle 1 + Angle 2 + Angle 3 = 180

Plug in the values:

x + 65 + 35 = 180

Collect and add like terms:

x + 100 = 180

Subtract 100 from both sides:

x + 100 - 100 = 180 - 100

x = 180 - 100

x = 80°

Therefore, angle x has a measure of 80 degrees.

Learn more about the interior angles in a triangle here: https://brainly.com/question/33265804

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50+50, please help me need to pass pree schol

Answers

Answer:

100 lol thanks

Step-by-step explanation:

25+25=50 50+25=75 75+25+100

Find c.
Round to the nearest tenth.
20 ft
50°
15 ſt
c= [.? ]ft
Law of Cosines: c2 = 22 + b2 - 2ab cos C

Answers

Answer:

: c2 = a2 + b2 - 2ab cos C

c²=20²+15²-2×15×20×cos50

c²=400+225-600×0.64

c²=241

c=√241=15.5ft

The value of c for the given triangle can be obtained as 239.3 ft.

What is cosine law?

The cosine law for a triangle is derived from the parallelogram law of addition for two vectors.

It is given as for a triangle having sides a, b and c, the cos of the angle between sides a and b is given by,

cos(x) = (a^(2) + b^(2) - c^(2)) / (2 × a × b).

For the given diagram of a triangle, law of cosines can be applied as,

c² = a² + b² - 2abCos C

Substitute a = 15, b = 20 and ∠C = 50° to obtain,

c² = 15² + 20² - 2 × 15 × 20Cos C

c² = 625 - 600Cos(50°)

⇒ c = 239.3

Hence, the length of the other side of the triangle can be obtained as  239.3 ft.

To know more about cosine law click on,

https://brainly.com/question/17289163

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Craig has 5/8 of a bottle of glue but the recipe calls for three quarters a bottle. Does he have enough

Answers

Answer:

No, he doesn't have enough

Step-by-step explanation:

In eights, three quarters of a bottle is equal to 6/8.

Since 5/8 is smaller than 6/8, Craig won't have enough glue.

So, the answer is no.

Answer:

NO

Step-by-step explanation:

3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8

Name a fraction that is equivalent to three twelfths and also has a denominator that is less than 12. Explain how you found your answer

Answers

Answer:

In my knowledge

3/12 = 8/2

3×8=24, 12×2=24 = 8/2

so

8/2 is the fraction that is equivalent to three twelfths

John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth ​

Answers

The error was 1.33333333 percent
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