The total length of two ships is 2321 feet. The difference in their lengths is 17 feet. Find the length of each ship. If a football field has a length of 100​ yards, determine the length of the longer ship in terms of number of football fields.

Answers

Answer 1

The length of the longer ship in terms of number of football fields is;

4 football fields

Let the length of ship 1 be x

Let the length of ship 2 be y

Total length of both ships is 2321 ft

Thus;

x + y = 2321  ----(eq 1)

The difference in their lengths is 17 ft

Thus;

x - y = 17    ----(eq 2)

Add eq 1 to eq 2 to get;

2x = 2338

Thus; x = 2338/2

x = 1169 ft

Put 1169 for x in eq 1 to get;

1169 + y = 2321

y = 2321 - 1169

y = 1152 ft

Longer ship = 1169 ft long

From conversion tables;

1 ft = 1/3 yards

Thus; 1169 ft = 1169 * 1/3 = 389.67 yards

A football field has a length of 100 yards

Then number of football fields for the length of the longer ship = 389.67/100 = 3.8967 ≈ 4 football fields.

Read more at; https://brainly.com/question/21804970


Related Questions

Why was cuneiform important?

Answers

Answer:

It is important because it provides information about ancient Sumerian history and the history of humanity as a whole.

Step-by-step explanation:

Hope this helps.

Need help with number 5 and number 6

Answers

Answer:

5 d) 9 1/3

6 d) 2

Step-by-step explanation:

Proportions:

5

7 ⇒ 4

BY ⇒3

BY = 7*4/3

BY = 28/3

28/3 = 27/3 + 1/3 = 9 1/3

BY = 9 1/3

6

12 ⇒ 3

8  ⇒ SX

SX = 3*8/12

SX = 2

The cost of making a cake is $9. The Baker wants to make a profit of $ 9 per cake and the cake is to be cut into 36 pieces, what is the selling price of each piece?

Answers

$9+$9=$18
36/18= 0.5
Each piece= $0.50

Answer:

$0.50

Step-by-step explanation:

Given

Cost price = $9

Selling price of the cake is:

$9 + $9 = $18

Selling price of each piece:

$18/36 = $0.50

Simplify 5b4×4b3 what is the answer for it ​

Answers

Answer:

[tex]{ \rm{ {5b}^{4} \times {4b}^{3} }}[/tex]

• from laws of indices:

[tex] \hookrightarrow \: { \boxed{ \rm{ {rx}^{n} + {px}^{m} = (r \times p) {x}^{(n + m)} }}} \\ [/tex]

• substitute:

[tex]{ \rm{ {5b}^{4} \times {4b}^{3} = (5 \times 4) {b}^{(4 + 3)} }} \\ \\ = { \boxed{ \boxed{ \rm{ \: 20 {b}^{7} \: \: }}}}[/tex]

9.35 x 9 = 3.15 is this an overestimate or underestimate?

Answers

Answer:

7/187

Step-by-step explanation:

thats it simplified if this helps

The. Problem I in the picture

Answers

Answer:

can't see it clearly sorry about that

A grocery store offers its customers A discount card that gives 15% off all purchases, p. The card costs $12 a year. What amount would a customer need to purchase each year to save money?

Answers

Step-by-step explanation:

customer need to purchase each year to save money = 100/15 × $12

= 1200/15

= $80

Answer:

More than $80

Step-by-step explanation:

To save money, the customer needs to save the cost of the card first.

Solve it by ratios:

15% = 12100% = x

Solve for x:

15x = 12*100x = 1200/15x = 80

Help! Pls...........

Answers

Answer:

I don't know sorry sorryy

How many combinations are possible? Assume the items are distinct.
10 items chosen 10 at a time

Answers

About 100 combinations are possible because u have to do 10x10

Find the value of a
1)3a=9
2)5a=20
3)7a=28

Find the value of p
4)p/2=5
5)p/5=4
6)p/9=6​

Answers

Answer:

Please do every single answer by transposition method..

Step-by-step explanation:

1) 3a=9

=a=9/3

=3

2) 5a=20

=a=20/5

=4

3) 7a=28

=a=28/7

= 4

4) p/2=5

=p=5×2

10

5) p/5=4

=p=4×5

=20

6) p/9=6

=p=6×9

=54

Gabe's bill at Colton's was $25. If he decided to leave his server a 20% tip, how muc
money did he spend in all?

Answers

Answer:

$31.25

Step-by-step explanation:

If I understood the question correctly, it should be $31.25. 25 x 0.25 (25 percent) = 6.25. 25 + 6.25 = 31.25.

square root of 31 is between which two integers?

Answers

Answer:

5 and 6

Step-by-step explanation:

5 and 6 I just took the test!

4.7 Distribution of sum of independent uniform RVs. A RV Y is the sum of 500 independent and identically distributed RVs X1, X2, . . . , X500. Each Xi is uniformly distributed over (1, 2). Find the mean and variance of Y . Give an approximate distribution or PDF of Y and justify your answer. What is the probability that Y is larger than 750

Answers

Answer:

Let X1,X2,...,Xn be i.i.d. random variables with expected value EXi=μ<∞ and variance 0<Var(Xi)=σ2<∞. Then, the random variable

Zn=X¯¯¯¯−μσ/n−−√=X1+X2+...+Xn−nμn−−√σ

converges in distribution to the standard normal random variable as n goes to infinity, that is

limn→∞P(Zn≤x)=Φ(x), for all x∈R,

where Φ(x) is the standard normal CDF.

Step-by-step explanation:

6.71 x 10^6 divided by 3.6185 x 10^4

Answers

Answer:

185.436

Step-by-step explanation:

10^6=1000000

6.71×1000000=6710000

10^4=10000

3.6185×10000=36185

6710000÷36185=185.436

Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function.
Type the correct answer in the box.
This is the function.

Answers

Using the Factor Theorem, it is found that the function is given by:

[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

From the graph, the zeroes are [tex]x_1 = -8, x_2 = -3, x_3 = 10[/tex], hence:

[tex]f(x) = a(x + 8)(x + 3)(x - 10)[/tex]

[tex]f(x) = a(x^2 + 11x + 33)(x - 10)[/tex]

[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]

From the y-intercept, that is, when [tex]x = 0, y = -13.5[/tex], we find a.

[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]

[tex]-330a = -13.5[/tex]

[tex]330a = 13.5[/tex]

[tex]a = \frac{13.5}{330}[/tex]

[tex]a = 0.0409[/tex]

Hence:

[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]

To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382

Answer:

first guy is wrong

Step-by-step explanation:

my teacher said it's wrong, when I find out the right answer ill put it here

like a good neighbor...........?

Answers

Answer:

state farm is there!

Step-by-step explanation:

state farm is there............?

-1/3x-1/6=2/9 solution

Answers

Answer:

-1  1/6

Step-by-step explanation:

Use a common denominator first to convert all the fractions so they can be easily added or subtracted.

Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18

1/3 = 6/18

1/6 = 3/18

2/9 = 4/18

So now you have

-6/18x - 3/18 = 4/18

add 6/18x to both sides so you can make the number with the variable positive

6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x

subtract 4/18 from both sides

- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x

Divide both sides by 6/18 so x is alone on the one side

( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18)  simplifies to ( - 7/18) / ( 6/18) = x

When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across

so the new equation looks like this

- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108    you now have  -126/108

x = -126/108  which simplifies to - 1  18/108  which can still be simplified more to -1  1 / 6   since 108 can be divided by 18 that gives you 6.

f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)

Answers

Answer:

(f*g)(x) = 3x³+12x²-7x-28

Step-by-step explanation:

What (f*g)(x) means is that we multiply f(x) by g(x):

f(x) = x+4

g(x) = 3x²-7

(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28

Does (5, 4) make the equation y = –7x true? Yes Or No

Answers

Answer:

No

Step-by-step explanation:

Given point ,

(5,4)

Substitute ,

y = -7x 4 = -7*5 4 = -35 ( Not true )

Answer:

No

Step-by-step explanation:

Substitute the x- coordinate into the equation and if the value equals the y- coordinate then it makes the equation true.

y = - 7(5) = - 35 ≠ 4

Thus (5, 4 ) does not make the equation true

solve this i dont know how to graph it pls tell

ASAP and i will give brainliest

Answers

Answer:

straight line through (0,4) and (2,0), shade everything above it

Step-by-step explanation:

First solve the equality, which will give you a straight line.

Then check if the inequality (the > sign) means you have to shade the area above or below it.

2x + y = 4 can easily be solved by first taking x=0, then you find y=4, hence (0,4) is a solution.

Then take y=0, then you find 2x = 4 so x=2, hence (2,0) is a solution.

Plot these two points and draw a line through them.

Now, since 2x+y has to be larger than 4, all the points to the right and above the line are valid. So that's the area you have to shade.

someone help me please
17 < 4x +1 and 49 > 4x + 1

Answers

Just make the number line between 4 and 12

Anyone know this im stuck on it.

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

A vertical line at a specific x-value of the domain will intersect the graph of a relation at each y-value in the range that

the x-value is mapped to by the relation. If even one such line has more than one intersection, then one input has two

or more outputs and the relation is not a function.

Happy to Help And brainliest please... I do this all the times sense I'm a honors student, let me know if you need help!

Step-by-step explanation:

Find the perimeter of this figure to the nearest hundredth

Answers

Answer:

The perimeter of given figure = 56.56 ft

Step-by-step explanation:

Step(i):-

From diagram

The length of the rectangle = 10 ft

The width of the rectangle = 8 ft

Perimeter of the rectangle

= 2 ( l+w)

= 2 ( 10 + 8)

= 2 × 18

= 36

Step(ii):-

The semi circle is included in the given diagram

Now we will find the perimeter of semicircle

We know that

perimeter of the circle

p = 2πr + d

perimeter of the semicircle

P = πr + 2 r (∵ d = 2 r)

Step(iii):-

From diagram the diameter of semicircle is equal to the width of the rectangle

d = 8

d = 2 r = 8

The radius of the circle 'r' = 4

perimeter of the semicircle

P = πr + 2 r

P = 3.14 ( 4) + 8

P= 20.56

Conclusion:-

The perimeter of given figure

= perimeter of rectangle + perimeter of semicircle

= 36 + 20.56

=56.56 ft

Hi please help me i need it, thanks

Answers

Answer:

perimeter: 20.1

area: 22.1

Step-by-step explanation:

Answer:

The formula to find the are of a parallelogram is = base x height

so the base is 3 1/4 x the height is 6. so now it will be

3 1/4 x 6

you now multiply it to get the area.

So the area I am getting for this is 16 1/2 cm2.

It might be wrong but there you go.

Make as brainiest

The temperature dropped 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

Answers

-12 I hope this help

Answer:

18 °F

Step-by-step explanation:

Simply multiply 3 and 6

One hour is 3 °F

Two hours is 6 °F

Three hours is 9 °F

Four hours is 12 °F

Five hours is 15 °F

Six hours is 18°F

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y = 1.5x + 3

Step-by-step explanation:

Take the two points marked by the blue dots.

(0,3), (2,6)

Start with (0,3). The zero makes the other number with it = to the y intercept.

So far what you know is

General equation: y = mx + b

b = 3

Partial equation: y = mx + 3

Givens

To get m, you need both points.

y2 = 6

y1 = 3

x2 = 2

x1 = 0

Equation

m = (y2 - y1)  / (x2 - x1)

m = (6 - 3) / (2 - 0)

m = 3 / 2

Entire equation

y = 3/2 x + 3

or

y = 1,5x + 3

Please help!! 30 POINTS
Show your work
NO RANDOM LINKS

Answers

Answer is x^2-x+3

Explanation:
1) x^3-5x^2+7x-12/x-4
2) x^3-4x-x^2+4x+3x-12/x-4
3) x^2x(x-4)-x*(x-4)+3(x-4)/x-4
4) x^2-x*3 because x-4 cancels each other out

9514 1404 393

Answer:

  x^2 -x +3

Step-by-step explanation:

The long division is shown in the attachment, along with details of how the quotient terms are found.

  [tex]\dfrac{x^3-5x^2+7x-12}{x-4}=\boxed{x^2-x+3}[/tex]

For functions f(x) = x + 2 and g(x) = 8x2 - 2x + 4,
find the following.
(Simplify your answers completely.)

(a) (fºg)(x) =
(b) (f. g)(-1) =

Answers

Answer:

Sorry im not ood at math so i cant help

Step-by-step explanation:

Which graph represents the function f(x)=0.5x+4?


Which graph represents the function f(x)=−2x−1?

Answers

Answer:

Step-by-step explanation:

1.)The 4th picture will be the correct one.

Step-by-step explanation:

The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1

So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.

So, the graph will translate down by 1 unit.

Therefore, the 4th picture will be the correct one.

2.)-(2^x) - 1 will have a y-intercept of -1-1 = -2, a horizontal asymptote of y=-1, and will be decreasing everywhere. The third selection is the graph that has these characteristics.

Answer:

graph 4

Step-by-step explanation: because I love you <3 ;)

what is the present value of $6,000 to be received at the end of 6 years if the discount is 12%

Answers

Future value = FV = $6000

Time period = n = 8

interest rate = r = 12%

Present value (PV) is calculated using the formula:

PV = FV/(1+r)n

Present Value = PV = 6000/(1+12%)8 = 6000/1.128 = 2423.299368

Answer -> 2,423

Answer:

$3,039.79

Step-by-step explanation:

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