A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?

Answer:

geothermal

Step-by-step explanation:

energy obtained from heat within the earth-geothermal

Answer:

The ordered pairs (-2,3) and (5,1) make the inequality true.

Step-by-step explanation:

Answer:

8^12??

Step-by-step explanation:

what is islng

Answer:

1/[tex]8^{12}[/tex]

Step-by-step explanation:

Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]

1/[tex]8^{12}[/tex]

Solution

1/[tex]8^{12}[/tex]

Alternate form

≈ 1.45519 x [tex]10^{-11}[/tex]

Answer:

x = 8/3

Step-by-step explanation:

6x-4=3x+4

Subtract 3x from each side

6x-3x-4=3x-3x+4

3x-4 =4

Add 4 to each side

3x-4+4 = 4+4

3x =8

Divide each side by 3

3x/3 = 8/3

x = 8/3

Answer:

hi

Step-by-step explanation:

exact form: 8/3

decimal form:

2.6 repeating sign over six

mixed number form: 2 2/3

Answer:

The answer is below

Step-by-step explanation:

Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of  270 pounds per tree, therefore:

Y(x) = 270    for x ≤ 30

If it is more than 30 trees the yield decreases by 3 pounds, hence:

Y(x) = 270 - 3(x - 30) = 360 - 3x   for x > 30

The total yield T is given as T(x) = x × Y

T(x) = x × 270 = 270x   for x ≤ 30

T(x) =  x(360 - 3x) = 360x - 3x²   for x > 30

The maximum yield is at T'(x) = 0

T'(x) = 360 - 6x

360 - 6x = 0

6x = 360

x = 360/6

x = 60

T(6) = 360(60) - 3(60²) = 10800 pounds

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

Answer:

516

Step-by-step explanation:

add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total

Answer:

El nieto de 14 años de edad recibirá la mayor cantidad.

Step-by-step explanation:

En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.

Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.

Answer:

Angle RQT and Angle RQO

Step-by-step explanation:

These angles share the common vertex of Q and the common side of RQ

Answer:

The first option.

Step-by-step explanation:

The way I always remember adjacent angles is they are kinda beside each other.

Answer:

according to me I think that the percentage decrease is 80% and this is how I got it I took 60 and subtracted it from 300 to get 240 then I took 240 over 300 * 100% and I got 80%

Step-by-step explanation:

the percent decrease is 87%

Answer:if your meaning 5:2 the answer would be 35:14

Step-by-step explanation:

You simply would have the find the equal to it so by multiplying both by 7 would make it equal. 7 × 5 is 35 and 7 × 2 is 14

Answer:

3.225

Step-by-step explanation:

15%= 15/100

therefore 15% tip of 21.50

15/100×21.50 = 3.225

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10      The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

Answer:

3

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

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3.5

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Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

Answer:

1/5

Step-by-step explanation:

We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.

We know that, percent means we need to divide the value by 100 i.e.

[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

So, the required fraction is 1/5.

Answer: 112 people.

Step-by-step explanation:

Answer:

You would need 112.5 people to eat all the stacks of pancakes.

Step-by-step explanation:

45 times 5 = 225

and then 225 divided by 2 is 112.5

Hope this helps!

Good question lol

This question is incomplete

Complete Question

The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?

Answer:

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Step-by-step explanation:

Let the number of points scored by the lion = l

The number of points scored by the tiger = t

The Lions scored three more than three times the number of points the Tigers scored.

l = 3 + 3(t)

The total number of points scored by both teams is 31.

= l + t = 31

3 + 3t + t = 31

4t = 31 - 3

4t = 28

t = 28/4

t = 7 points

Note:

l + t = 31

I = 31 - t

l = 31 - 7

l = 24 points

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Answer: 6.75

Step-by-step explanation:

1/2 gallons = 0.75 grams

1 gallons = 1.5 grams

2 gallons = 3 grams

4 gallons = 6 grams

6 + 0.75 = 6.75

I hope this helped!

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

Answer:

According to the question 25% of the students wore jackets.

Thus 25% of 12 wore jackets

The number of students can be found easily by multipling 12 with 25//100

12*25/100

12*1/4

12/4

thus, 3 students

Therefore, option 3 is correct

Answer:

The mean of the remaining 3 boys is 51.

Step-by-step explanation:

The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:

[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)

([tex]p_{10} = 58[/tex])

[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)

Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.

In addition, we know the following mean marks from statement:

[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)

([tex]p_{7} = 61[/tex])

[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)

[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)

Where:

[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.

[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.

By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:

[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]

[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]

[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]

[tex]3\cdot p_{3} = 153[/tex]

[tex]p_{3} = \frac{153}{3}[/tex]

[tex]p_{3} = 51[/tex]

The mean of the remaining 3 boys is 51.

Step-by-step explanation:

Answer: $20,700

Step-by-step explanation:

Given that :

List price of car = $24,000

Dealer's cost = 85% of the list price of the car

Dealer acceptance cost = $300 over the cost

Hence, total amount to be paid :

Dealer's cost + dealer's acceptance cost

Dealer's cost = (0.85 * $24,000) = $21,400

Hence, Total cost :

$20,400 + $300 = $20,700