There are 14 cars waiting to cross the ferry. The ferry can carry 3 cars at one time. How many trips will the ferry make to get all 14 cars across?

Answers

Answer 1
it would take the ferry a total of 5 trips to carry all 14 cars across
Answer 2
The ferry can carry 3 cars at one time

There are 14

3 x 4 = 12 (which is not enough to carry all 14 across)
3 x 5 = 15 (which is more than enough space to carry all 14 across)

So the ferry needs to make 5 trips in all

hope this helps

Related Questions

A farmer wants to fence in a section of land for a horse pasture. Fencing costs $29 per yard. How much will it cost to fence the pasture?


Answers

Final answer:

To find the cost of fencing a horse pasture, calculate the total length needed and multiply it by the cost per yard.

Explanation:

A farmer wants to fence in a section of land for a horse pasture. Fencing costs $29 per yard. How much will it cost to fence the pasture?

To calculate the cost of fencing the pasture, you need to determine the total length of the fencing needed in yards. Once you have the total length, you can multiply it by the cost per yard to find the total cost.

Example:

Assuming the total length of fencing needed is 100 yards.Multiply the total length by the cost per yard: 100 yards x $29 = $2900.Therefore, it will cost $2900 to fence the pasture.

A machine that fills bottles with a beverage has a fill volume whose mean is 25.01 ounces, with a standard deviation of 0.02 ounces. a case consists of 24 bottles randomly sampled from the output of the machine. find the standard deviation of the total volume of the beverage in the case.

Answers

Final answer:

The standard deviation of the total volume of beverage in a case of 24 bottles, each with a standard deviation of 0.02 ounces, is approximately 0.098 ounces. This is calculated by multiplying the standard deviation of one bottle by the square root of the number of bottles in the case.

Explanation:

The question involves finding the standard deviation of the total volume of beverage in a case of 24 bottles, given that each bottle has a fill volume with a mean of 25.01 ounces and a standard deviation of 0.02 ounces. To calculate the standard deviation of the total volume in the case, we multiply the standard deviation of a single bottle by the square root of the number of bottles in the case. This is because the standard deviation of the sum of independent random variables (in this case, the volume of each bottle) is equal to the square root of the sum of their variances.

Step-by-step Solution:

Standard deviation of one bottle = 0.02 ounces.

Number of bottles in a case = 24.

Total standard deviation = 0.02 ounces * √24.

Calculate the square root of 24, which is approximately 4.898.

Multiply the standard deviation of one bottle by this value to get the total standard deviation of the case: 0.02 * 4.898 = 0.098 ounces (approximately).

Therefore, the standard deviation of the total volume of beverage in a case of 24 bottles is approximately 0.098 ounces.

A department store has average daily sales of $29,876.76. The standard deviation of sales is $1000. On Tuesday, the store sold $34,893.71 worth of goods. Find Tuesday's z score.

Answers

Answer with explanation:

Mean[tex]\Bar X[/tex] = $ 29,876.76

Standard Deviation[tex]\sigma[/tex] =  $1000

[tex]\mu[/tex] =$34,893.71

Z-Score Formula

     [tex]Z_{score}=\frac{\Bar X -\mu}{\sigma}\\\\Z_{score}=\frac{29876.76-34893.71}{1000}\\\\=\frac{-5016.95}{1000}\\\\=-5.01695\\\\=-5.02[/tex]

So, Tuesday Z-Score= -5.02

 

joaquin reached the end of the trail in 2 hours and 15 minutes. Write the amount of hours he spent on the trail as a mixed number and as an improper fraction.

Answers

There are 60 minutes in an hour so the mixed number can be represented as.
[tex]2 \frac{15}{60} [/tex] hours

but can be simplified to 
[tex]2 \frac{1}{4} [/tex] hours

As an improper fraction, you multiply 2 by 60 and add that to the 15/60 giving you 
[tex] \frac{135}{60} [/tex] hours

Which can be reduced to 
[tex] \frac{9}{4} [/tex] hours

Final answer:

Joaquin's time on the trail is represented as the mixed number 2 1/4 hours and the improper fraction 9/4 hours.

Explanation:

Joaquin reached the end of the trail in 2 hours and 15 minutes. To express this amount of time as a mixed number and as an improper fraction, we need to convert the 15 minutes into a fraction of an hour since 60 minutes make up an hour.

First, as a mixed number, 2 hours and 15 minutes can be written as 2 1⁄4 hours because 15 minutes is a quarter (1/4) of an hour.

Next, to express it as an improper fraction, multiply the whole number (2) by the denominator (4) and add the numerator (1) from the mixed number. This gives us 8 + 1 = 9 quarters, hence 9⁄4 hours.

If 36 sqrt2 - 24 sqrt2 = sqrtN, what is N?

Answers

N = 288

First, both 36 sqrt 2 and 24 sqrt 2 have the common sqrt 2, which means you can directly subtract them.

36 sqrt 2 - 24 sqrt 2 = 12 sqrt 2
12 is outside of the square root means it was a perfect square, thus 12*12 = 144.

There's still a 2 left in the sqrt, and 144 * 2 = 288.
[tex]36\sqrt{2} - 24\sqrt{2} [/tex]
[tex]=12 \sqrt{2} [/tex]
[tex]= \sqrt{144} * \sqrt{2} [/tex]
[tex] \sqrt{144*2} [/tex]
[tex]= \sqrt{288} [/tex]

In short, N = 288.

Hope this helps !

Photon

At a concession stand, one person purchased 3 drinks and 3 soft pretzels for a total of $9.00. Another person purchased 4 drinks and 2 soft pretzels for a total of 8.50. What was the price of one soft pretzel

Answers

First we define the variables:
 x: price in $ for each drink
 y: price in $ for each soft pretzel.
 We write the system of equations:
 3x + 3y = 9
 4x + 2y = 8.50
 We solve the system:
 x = 1.25 $
 y = 1.75 $
 (See attached image)
 Answer: 
 The price of one soft pretzel is: 
 y = 1.75 $

the graph shows y in direct variation with x. Find the value of Y when X=-15


A.) -30
B.) -24
C.)-18
D.) -12

Answers

y = 2x
y = 2*(-15) = -30 . . . . . selection A is appropriate

Answer:

A -30

Step-by-step explanation:

If you pay attention you will see I did this on USATestPrep and I know the answer

A number devised by six is 306. What is the number?

Answers

306 × 6 = the number

306 × 6 = 1836

the number of painters p employed to paint a building is inversely proportional to the time taken to paint the building b which equation best models the number of painters required to finish the painting

Answers

Answer:
p = k/b

Explanation:
We are given that:
number of painters (p) is inversely proportional to the time taken to paint the building (b).
This means that as p increases, b decreases and vice versa.
Therefore, the best equation to model this is:
p = k/b
where k is the constant of proportionality.

Hope this helps :)

Answer:

C

Step-by-step explanation:

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20cm.
What is the area A of the circular cross section of this pipe?
Give your answer in terms of pi.
HELP

Answers

we know that
the area A of the circular cross section of the pipe is
A=pi*r²
D=20 cm------------- > r=D/2=20/2=10 cm
then
A=pi*10²=100*pi cm²

the answer is A=100*pi cm²

Tom Hornet purchases $7,000 of ten-year term life. He is 31 years old


What is his annual premium?

What is his quarterly premium?


The difference between the two payment options?

(Remember to compare annual premium to annual premium!) :

Answers

The annual premium is 5.07 x 7 = 35.49
The quarterly premium is 35.49 x .26 = 9.23
And the difference between the two payment options is 1.43
(Use the table in the question, it has all the information you need).

Answer:I can confirm 35.49, 9.23, 1.43

Step-by-step explanation:

herman draws a scale model of one-half of the side house based on hermans scale model,what is the actual area of the entire side of the house?

Answers

The actual area of the entire side of the house is four times the area of Herman's scale model, as Herman's model represents only one-half of the side. So, if the area of Herman's model is A, then the actual area is 4A.

To find the actual area of the entire side of the house based on Herman's scale model, we need to follow these steps:

Understand the Scale: If Herman's scale model represents one-half of the side of the house, it means the scale is 1:2. This implies that every unit on the scale model represents two units in reality.

Find the Area of Herman's Model: Let's assume the area of Herman's scale model is A. Since it represents one-half of the side of the house, the actual area of one side of the house (let's call it X) would be 2A.

Calculate the Total Area of the Side of the House: Since there are two sides to a house, we need to double the area of one side: 2 * 2A = 4A.

Finalize the Answer: Therefore, the actual area of the entire side of the house is 4 times the area of Herman's scale model.

In summary, to find the actual area, we first double the area of Herman's scale model (as it represents only one-half of the side), then multiply it by 2 again to account for both sides of the house. This gives us a total of 4 times the area of Herman's model.

Here's the complete question:

"Herman draws a scale model of one-half of the side of a house. Based on Herman's scale model, what is the actual area of the entire side of the house?"

Let x ∼ bin(9, 0.4). find
a. p(x > 6)
b. p(x ≥ 2)
c. p(2 ≤ x < 5)
d. p(2 < x ≤ 5)
e. p(x = 0) f. p(x = 7) g. μx h. σ2 x

Answers

a.
[tex]\mathbb P(X>6)=\mathbb P(X=7)+\mathbb P(X=8)+\mathbb P(X=9)[/tex]
[tex]=\dbinom97(0.4)^7(1-0.4)^{9-7}+\dbinom98(0.4)^8(1-0.4)^{9-8}+\dbinom99(0.4)^9(1-0.4)^{9-9}[/tex]
[tex]\approx0.025[/tex]

b.
[tex]\mathbb P(X\ge2)=1-\mathbb P(X<2)=1-\mathbb P(X=0)-\mathbb P(X=1)[/tex]
[tex]=1-\dbinom90(0.4)^0(1-0.4)^{9-0}-\dbinom91(0.4)^1(1-0.4)^{9-1}[/tex]
[tex]\approx0.929[/tex]

c.
[tex]\mathbb P(2\le X<5)=\mathbb P(X=2)+\mathbb P(X=3)+\mathbb P(X=4)[/tex]
[tex]=\dbinom92(0.4)^2(1-0.4)^{9-2}+\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}[/tex]
[tex]\approx0.663[/tex]

d.
[tex]\mathbb P(2<X\le5)=\mathbb P(X=3)+\mathbb P(X=4)+\mathbb P(X=5)[/tex]
[tex]=\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}+\dbinom95(0.4)^5(1-0.4)^{9-5}[/tex]
[tex]\approx0.669[/tex]

e.
[tex]\mathbb P(X=0)=\dbinom90(0.4)^0(1-0.4)^{9-0}\approx0.01[/tex]

f.
[tex]\mathbb P(X=7)=\dbinom97(0.4)^7(1-0.4)^{9-7}\approx0.021[/tex]

g, h.
For [tex]X\sim\mathcal B(n,p)[/tex], recall that [tex]\mathbb E[X]=\mu_X=np[/tex] and [tex]\mathbb V[X]={\sigma_X}^2=np(1-p)[/tex]. So

[tex]\mu_X=9(0.4)=3.6[/tex]
[tex]{\sigma_X}^2=9(0.4)(0.6)=2.16[/tex]
Final answer:

The question involves the properties of a binomial distribution with parameters 9 and 0.4. The properties asked can be calculated using binomial theory, allowing the probability of certain outcomes, the mean and variance of the distribution to be found.

Explanation:

The question involves a binomial distribution denoted as x ∼ bin(9, 0.4), where 9 is the total number of trials and 0.4 is the probability of success. The distribution properties desired are:

c. p(2 ≤ x < 5): The probability that x takes a value between 2 and 5, which is found by adding up the probabilities p(x = 2), p(x = 3) and p(x = 4) in the binomial distribution.e. p(x = 0): This is the probability that there are 0 successes, given by (0.6)^9 in this case.f. p(x = 7): The probability of having 7 successes which can be calculated using binomial formula.g. μx: This is the expected value or mean of the distribution, which in binomial distribution is np, so μx = 9 * 0.4 = 3.6.h. σ2 x: This is the variance, calculated as np(1-p), hence σ2x = 9 * 0.4 * (1 - 0.4) = 2.16.

Learn more about Binomial Distribution here:

https://brainly.com/question/33656163

#SPJ3

how many eggs are there in 4 1/4 dozen eggs?

Answers

51 eggs because there are 12 eggs in a dozen so it would be 4×12 which would be 48 and then 1/4 of 12 is 3 so 48+3=51

Jerry's strips of dry meat joint sells of these two types of dry meat. he sells twice as many bags of dried beef as he does bags of dried turkey . His profit from the dryed beef is a 1.50 per bag while his profit for dryed turkey is a $2 per bag how many bags of each must he sell to profit for $ 500. please help

Answers

Assume Jerry sells x bags of dried turkey, and 2x bags of dried beef. He profits ($2)x on dried turkey, and ($1.5)(2x) on the dried beef. Therefore, his total profit is 2x + 3x = 5x. Since this is equivalent to $500, we can solve
5x = 500
x = 100
Therefore, Jerry must sell 100 bags of dried turkey and 200 bags of dried beef.

Please help me with questions 24, 25, 26

Answers

24. A "midsegment" is half the length of the triangle side it is parallel to.

25. Multiply the given dimensions by 3.

26. Vertical angles are equal. Once you find x, you need to compute the complement of angle CEG.

Mrs. reed baked four pans of lasagna for a family party. use the rectangles to represent the pans.

Answers

You should draw four rectangles to represent the four pans of lasagna.

Which statements are true about thecordered pair (7,19) and the system of equations 2x-y=-5

Answers

I attached a screenshot for the complete question as well as the choices.

Answer:
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false. 

Explanation:
A solution to the system is defined as the order pair which satisfies ALL the equation given in the system

The twp systems given are:
2x−y=−5 which can be rewritten as: y = 2x + 5
x+3y=22 which can be rewritten as 3y = 22 - x

the given point is (7,19). To know whether this point belongs to each of the given lines, we will substitute with the value of x in the line and calculate the corresponding y value. After that we will compare the calculated value with the given one to decide whether the point is a solution to the system or not.

1- For the first system:
y = 2x + 5
y = 2(7) + 5
y = 14 + 5
y = 19
The calculated value of y is the same as the given one. This means that this point is a solution to the first equation

2- For the second system:
3y = 22 - x
3y = 22 - 7
3y = 15
y = 5
The calculated value of y is not equal to the given one. This means that the given point is not a solution for the second equation.

Based on the above, we can note that the given pair satisfies the first equation, however, it does not satisfy the second one.
This means that it cannot be a solution to the system.

Hope this helps :)


Where is the point of concurrency of the angle bisectors of a triangle?
A) outside the triangle
B) inside the triangle
C) on the triangle

Answers

Answer:

  B)  inside the triangle

Step-by-step explanation:

That point of concurrency is called the "incenter" as it is the center of the largest circle that can be inscribed in the triangle. It is always located inside the triangle.

Each angle bisector must be inside the triangle, so their point of intersection must be inside the triangle.

Final answer:

The point of concurrency of the angle bisectors of a triangle called the incenter, is always located inside the triangle.

Explanation:

The point of concurrency of the angle bisectors of a triangle is known as the incenter. This point is where all three angle bisectors of a triangle intersect, and it is always inside the triangle.

No matter what type of triangle it is—scalene, isosceles, or equilateral—the incenter is always located within the interior of the triangle, serving as the center of the triangle's incircle, which is a circle that is tangent to all three sides of the triangle. Thus , the correct option is B.

Which expression means 9.7 split into a certain number of equal parts? 99pointsQ!!!

Answers

Answer:

9.7/n

Step-by-step explanation:

This is correct because i took the quiz and i got it correct :[

H + 9.7 = -9.7 what is this answer

Answers

Hello!

h = -9.7 - 9.7

h = -19.4
Enjoy.
Hey there! :D

H + 9.7= -9.7

When you are trying to find a variable, you have to do the opposite (or reciprocal) on the other side. 

So, since 9.7 is positive and being added to H, we will subtract it from the other side. 

H + 9.7 (-9.7)= -9.7(-9.7) 

H= -19.4

I hope this helps!
~kaikers

Melinda has shown that a function, f(x), increases by 4 for every unit in the domain. What does this prove?

The function f(x) is an arithmetic sequence.
The function f(x) is a geometric sequence.
The function f(x) is not a sequence.
This does not prove anything.

Answers

Answer:-The function f(x) is an arithmetic sequence.


Explanation:-

Let [tex]a_1[/tex] be the initial value

According to the question

[tex]a_2=a_1+4[/tex]

[tex]a_3=a_2+4\\\Rightarrow\ a_3=(a_1+4)+4\\\Rightarrow\ a_3=a_1+4+4\\\Rightarrow\ a_3=a_1+2(4)\\\Rightarrow\ a_3=a_1+2\times4\\\Rightarrow\ a_3=a_1+(3-1)4[/tex]  and so on

Thus, we can write a formula for the term n of an arithmetic sequence in the form:

[tex]a_n=a_1+(n-1)4[/tex]

where, n=1,2,3,4,....

4= common difference

Therefore, the function f(x) is an arithmetic sequence.

An arithmetic sequence is a sequence of numbers in which each term increases or decreases by a constant number.

Estimate it’s the length in meters for poster. Explain

Answers

I don’t know what this question is asking.... can u make it clearer

How do you write 4.5 with the same number of decimal places as 6.25

Answers

4.50 should be the right answer.
if you mean you want to have it go into the hundredths place (the second digit behind the period) you could just add a zero. the zero's dont change the number but help you incase your doing something like 9.75 - 8.5 just add a zero and you would get 9.75 - 8.50 = 1.25 
i hope this helps you :)

Find The Equation Of The Line below

Answers

notice the picture, the line runs through the origin, 0,0 and 5,1, so let's use those points then,

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& 0~) % (c,d) &&(~ 5 &,& 1~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-0}{5-0}\implies \cfrac{1}{5} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=\cfrac{1}{5}(x-0)\implies y=\cfrac{1}{5}x[/tex]

What is the solution to this inequality 2(x-4)+14<= x-1

Answers

2x - 8 + 14 <= x-1
2x +6 <= x-1
x <=-7

What triangle has 0 reflectional symmetries?

Answers

Answer:

A. right scalene triangle

Final answer:

A triangle with 0 reflectional symmetries is a scalene triangle. Equilateral triangles, such as those on an icosahedron, have multiple symmetries. Symmetry in different contexts, like physics and chemistry, can result in a net effect of zero.

Explanation:

A triangle that has 0 reflectional symmetries is a scalene triangle, where all three sides and all three angles are of different lengths and magnitudes, respectively. An equilateral triangle, like the ones that form the faces of an icosahedron, has multiple lines of symmetry because of its equal sides and angles. On another note, in vector algebra, a null vector has all components equal to zero, which implies it has no direction or magnitude. Similarly, the molecular geometry of BF3 is described as trigonal planar and possesses symmetry, resulting in a net dipole moment of zero despite having polar B-F bonds.

In physics-related symmetry, charges or forces can cancel each other out leading to a net force of zero. For instance, if equal charges are placed at the corners of a square with a charge at the center, the net Coulomb force on the center charge will be zero due to the symmetry. Similarly, in collisions, certain angles or scenarios can result in a term becoming zero, like having a head-on collision where the incoming ball stops (v1 = 0), or the balls deflect at a 90-degree angle resulting in cos(θ1 - θ2) being zero.

A wedding cake has a diameter of 12 inches. The cake decorator needs to know how many strawberries he will need to put around the outside, so he needs the circumference. What is the circumference? Leave the answer in terms of π.

Answers

Diameter = 12 in

Radius = 6 in

Circumference = 2[tex] \pi r[/tex] = 2 x [tex] \pi [/tex] x 6 = 12[tex] \pi [/tex] inches

What set of reflections would carry triangle ABC onto itself?

Answers

y-axis, x-axis, y-axis, x-axis
The correct option among all the options that are given in the question is the fourth option or option "4". I hope that the answer has actually come to your help

Which statements are true about the polynomial 28vw + 49v + 35w? Check all that apply.

Answers

Answer:

There are no common variables among all three terms.

The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).

Step-by-step explanation:

those r the two answers

Answer:

B & E

Step-by-step explanation:

Edg

Other Questions
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