The aquarium owns two research boats that will be docked next to the new building. The Delfino recently took 5 hours to cover 57.5 miles of shoreline. On its last research voyage, the Balina surveyed 54 miles in 4.5 hours. Which boat is faster?

The Delfino can travel at a rate of ______________ miles per hour (mph).

The Balina can travel at a rate of ______________ miles per hour (mph).

Answers

Answer 1

Answer:

The Balina is faster than the Delfino.

Step-by-step explanation:

Divide the amount of miles covered by the amount of hours it took for each one.

For the Delfino:

57.5 / 5 = 11.5

For the Balina:

54 / 4.5 = 12

You're welcome T^T


Related Questions

given parallelogram EFGH, where EF = 5x + 18, HE = 3x + 4 and the perimeter is 60, which value of GH

Answers

Given the perimeter of the parallelogram in the image below is 60, the value of GH will be: 23.

Recall:

Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.Opposite sides of a parallelogram are equal.

Given the parallelogram as shown in the diagram below, where:

base (b) = EF = 5x + 18

side (a) = HE = 3x + 4

Perimeter = 60

Plug in the values into the formula:

60 = 2[(3x + 4) + (5x + 18)]

60 = 2[3x + 4 + 5x + 18]

60 = 2[8x + 22]

60 = 16x + 44

60 - 44 = 16x

16 = 16x

1 = x

x = 1

GH = EF = 5x + 18 (equal opposite sides of parallelogram)

GH = 5x + 18

Plug in the value of x

GH = 5(1) + 18

GH = 23

Learn more about the perimeter of a parallelogram on:

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LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )

Answers

Answer:

x=7.85

Step-by-step explanation:

Give the triangles we know that:

[tex] \frac{cd}{fh} = \frac{de}{hg} = \frac{ce}{gf} [/tex]

Now we can substitute like usual

[tex] \frac{78}{fh} = \frac{117}{54} = \frac{ce}{5x + 1} [/tex]

Now we simplify the fraction in the middle

the middles fraction will =13/6

Therefore:

[tex] \frac{78}{fh} = \frac{13}{6} [/tex]

so 13fh=468

Therefore: fh=36

Now we can use the Pythagorean theorem

so

[tex]gf = \sqrt{ {54}^{2} - {36}^{2} } [/tex]

so gf=18√5

so 5x+1=18√5

so 5x=-1+18√5

so x=7.85

(I'm not too sure about this one tho)

Find an equation for the perpendicular bisector of the line segment whose endpoints are (−2,−1) and ( − 6 , − 5 ).

Answers

Answer:

[tex]y = -x - 7[/tex].

Step-by-step explanation:

Slope of the given line segment:

[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].

The slope of any line perpendicular to this line segment would be:

[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].

Midpoint of the given line segment:

[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].

Simplifies to get:

[tex](-4,\, -3)[/tex].

Find the equation of the perpendicular bisector in point-slope form and simplify.

[tex]y - (-3) = (-1)\, (x - (-4))[/tex].

[tex]y + 3 = -x - 4[/tex].

[tex]y = -x - 7[/tex].

Simplify 1.25 (-x -4)

Answers

Answer:

-1.25x-5

Step-by-step explanation:

Multiply using Distribution:

1.25(-x-4)

-1.25x-5

My answer can't be simplified anymore, since there isn't any like terms.

The owner of a small store buys coats for ​$55.00 each. they sells the costs for ​$99.00 each. What percent of the purchase price is the sale​ price?

Answers

Answer:

55.56%

Step-by-step explanation:

55/99=.5555555...

.55555...*100=55.555...%

55.56%

Help!!! I will reward lots of points! QUESTION: At Walmart, 6 apples and 5 oranges cost $11. At Publix, 2 apples and 3 oranges cost $7. Set up a system of two equations which you will solve to find the cost of one apple and one orange. Also step by step

Answers

Answer: I do not think this problem is solvable; the cost of apples and oranges at the stores are different

Solve for x: x /6−y/3= 1
SHOW WORK

Answers

[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]

Kenya uses mental math to find the sum of 235 and 23. She uses 235, 20, and one other number. What is the missing

number?


3

5

35

58

Answers

Answer:

3

Step-by-step explanation:

235 + 23

She uses 235, so 23 is left

235 + something + something = 235 + 23

235 + 20 + something = 235 + 23

subtract 235 from both sides

20 + something = 23

20 + something = 20 + 3

the missing number is 3

The missing number is 3.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Kenya uses mental math to find the sum of 235 and 23.

She uses mental math.

That means,

she breaks the term in simple manner.

And she uses 235, 20, and one other number.

And the other number is 23 - 20 = 3

So, addition,

235 + 23

= 235 + 20 + 3

= 258

Therefore, the required number is 3.

To learn more about the addition;

brainly.com/question/29464370

#SPJ5

There are 30 cats and 50 dogs at the local animal shelter. Of these animals, 15% were adopted last week. How many animals were adopted?

Answers

12 animals were adopted
ANSWER = 12 Animals adopted

Work:
30 + 50 = 80
80 x .15 = 12

POINTS AND BRAINLIEST IF YOU GAVE ME THIS CORRECT!!!
To rent a moving truck for the day, it costs, $33 plus $1 for each mile driven.
a. Write an expression for the cost to rent the truck.

b. You drive the truck 300 miles. How much do you pay?

Answers

Answer:

a) x + 33

Step-by-step explanation:

x is the number of miles driven. Therefore, the answer for b is $333

Because it is the miles driven plus 33

A Math book is 6. 15 centimeters. How thick will 21 Math books on a shelf be? A. 130.15 cm B. 129.16 cm. C. 129. 15 cm. D. 128. 16 cm​

Answers

Multiply:

6.15 x 21 = 129.15

Answer: C. 129.15 cm.

Solve each system using substitution or additions
(elimination).

-x+2y=-1
5x-10y=6

Answers

Answer:

Step-by-step explanation:

L1 -x + 2y = -1

L2 5x - 10y = 6

-x + 2y = - 1 multiply by -1

x - 2y = 1 multiply by 5

5x - 10y = 5 is similar that 5x - 10y = 6

The system has no solution

Help help math math good luck

Answers

Angle 4 is 101°
Just find the last angle in the triangle and subtract that from 180.
The last angle in the triangle is going to be 180-52-49=79
Now subtract that from 180 since a straight line is 180°.
180-79=101
Also, your hint just says to add the two angles inside the triangle together. 52+49=101. So, there is two ways of doing it

Desmond has 169 square bricks that he is arranging in a row to make a patio. Every row must have to have the same number of bricks. How many bricks are in each row? Describe the shape of the patio

Answers

The answer is 13 because 13 multiplied by 13 is 169, the patio is a square shape with 4 equal sides and 4 vertices




Help help help math math math

Answers

Answer:

1/4

Step-by-step explanation:

the x decreases by 1 the y decreases by 4

Answer:

-4

Step-by-step explanation:

I want a way to solve such a problem​

Answers

Answer: please calculate the answer.

Step-by-step explanation:\\ Bro use this formula (sum of all numbers of the question) \ no. of seen numbers.

Arithmetic mean = ( 24+124+243+...) \ 12

A regular 10-sided polygon has a perimeter of 540 feet. What is
the length of one side?
A.540 feet
B.360 feet
C.270 feet
D.54 feet

Answers

Answer:

  D.  54 feet

Step-by-step explanation:

One side will be 1/10 of the total length of all 10 sides.

  (1/10)(540 ft) = 54 feet . . . length of one side

Given the function, f(x) = x ^ 2 + 9x , find f(- 7)

Answers

f(x)=x^2+9x
f(-7)=(-7)^2+9(-7)
f(-7)=49-63
f(-7)=-14

What is 10 1/2 divided by 2 1/4

Answers

Answer:

4.666666667 or 4.6_ (repeating decimal)

Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation . ( Will Mark Brainliest if answered correctly).​

Answers

Step-by-step explanation:

I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:

1) R1 = d(O,S)

2) R2 = d(O,J)

3) R3 = d(O,M)

With O being the origin of the reference system.

*Note: d(A,B) means distance between point A and point B

After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.

After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.

Answer:

Step-by-step explanation:

Congruent

Shift right 1 unit and up 5 units

Rotate 90 degrees clockwise about (-1, 2)

Or

just rotate 90 degrees clockwise about (1, -1)

Hello please help straight up answer I’ll give points thanks I’m just trying to pass

Answers

Answer:

I think it's 34°.

Step-by-step explanation:

The angle to the right of 3x+7 is the alternate interior angle to 2x+3, meaning that they are the same.

Now, that angle, 2x+3, and 3x+7, are on a line, which I'm assuming is a straight line with an angle of 180°. If it is, then (2x+3)+(3x+7)=180

Now you can solve for x.

2x+3+3x+7=180

5x+10=180

5x=170

x=34

Therefore, x=34°

Hope I helped!

Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?

Answers

Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.

Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.

To find their least common factor, we factor each number by prime numbers, hence:

6 - 8 - 10 - 15|2

3 - 4 - 5 - 15|2

3 - 2 - 5 - 15|2

3 - 1 - 5 - 15|3

1 - 1 - 5 - 5|5

1 - 1 - 1 - 1

Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.

It will take 120 days until all four buses return to the terminal on the same day.

To learn more about the least common factor, you can take a look at https://brainly.com/question/24873870

A sum of $1290 is to be divided between two people in the ratio of 7 to 8. How much does each person receive?

Answers

we know that $1290 is to be divided on a 7:8 ratio, so we'll start off by dividing 1290 by (7+8) and give each person accordingly

[tex]1290~~ at~~ 7:8\implies 7\cdot \cfrac{1290}{7+8}~~ :~~8\cdot \cfrac{1290}{7+8} \\\\\\ 7\cdot 86~~:~~8\cdot 86\implies 602~~ :~~688[/tex]

Choose the term from the list that best represents the item in each box:

if y’all just commenting for the points in will literally report yall.

Answers

Answer:

1. run

2. rise

3. negative slope

4. positive slope

5. constant of proportionality

6. slope of the line

Step-by-step explanation:


Jimmy has 26,387
dollars for every of toys
he sells. how much
money will he make
for 10 toys?

Answers

Answer:

263,870

Step-by-step explanation:

Answer:

263,870

Step-by-step explanation:

You have 26,387 then you will multiply it by 10 and you'll get 263,870

help me plssssssssssssssssssssss

Answers

Answer:

p < 319

Step-by-step explanation:

The simplified equation after clearing the decimals is
-12.2 + 2.8w - 8.8 = 1.05w

Answers

Answer:

-21=-4w

w=5.25

but you don’t want decimals

so- you round down

w=5

Step-by-step explanation:

You combine like terms, and then make sure your variable is alone, the only way to get it alone from a ”mixed number”  is to divide

you do the same thing to both sides

so divde each side by -4

-21/-4 = 5.25

or with it rounded down since it’s under a five

It’s 5 with the decimals removed

i hope this helps

A box contains four bags of sugar. The total mass of all four bags is 6 kg. What is the mass of each bag in grams?

Answers

The answer is 1500 grams

What are the center and radius of the circle?

Answers

Answer:

R = 4

Step-by-step explanation:

Beause when we say (-1,4)

It say the center of it

Triangle DNO has vertices at D(5, 8), N(– 3, 10), and O(– 3, 6). If vertex D is translated 4 units to the right, the best name for Triangle DNO is:

Answer Choices:
a. Scalene
b. Isosceles
c. Equilateral
d. Right
e. none of these

Answers

Using distance between two points to find the lengths of the edges of the triangle, the correct option is:

b. Isosceles

The distance between two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Vertex D is translated 4 units to the right is (9,8).

The lengths of the edges are:

[tex]DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]

[tex]DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]

[tex]NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4[/tex]

Two edges of the same length, hence, it is an isosceles triangle, given by option b.

You can learn more about distance between two points at https://brainly.com/question/18345417

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