two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they are 150 miles apart. Find the speeds of the boats.

Answers

Answer 1

Answer:

220 mph ; 230 mph

Step-by-step explanation:

Given that :

Speed of First boat = x

Speed of Second boat = y

y = (10 + x) mph

Distance apart after 3 hours = 150 miles

Speed of the boats :

Speed / time = distance

First boat distance = x / 3

Second boat distance = (10+x) /3

x/3 + (10+x)/3 = 150

x + 10 + x = 150 * 3

2x + 10 = 450

2x = 450 - 10

2x = 440

x = 220 mph

Speed of second boat = 220 + 10 = 230 mph


Related Questions

What is the slope of this line?

y= -5/3x + 5

Answers

Answer:

-5/3

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

y=mx+b

m is the slope

so its -5/3

Hope this helps plz hit the crown :D

You spend $39.48 at At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank? the store. You pay at $50.00. What is your change

Answers

Answer:

820.11

Step-by-step explanation:

-39.48

603.15+90.89=694.04

694.04+106.03=800.07

800.07+70.04+870.11

870.11-50.00=820.1

help meeee fbdgnxfgdrgfsjrtsjg they needed extra characters

Answers

Answer:

The cost of the new item is $72

Step-by-step explanation:

You can solve this by first putting the percent into decimal form, this is done by taking 25 and dividing by 100. Giving you 0.25

Now multiply 0.25 by the original cost of the item which is 96.

If you think about 0.25 as 1/4, because 25 is 1/4 of 100.

You will get 24, this is how much money is taken off of the original price.

So some easy subtraction: 96-24=72.

Now you have the new cost of the item

You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.

Answers

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

−3x^ 2 +6x+9=
factor

Answers

Answer:

the answer in factor form would be

-3(

A dog drank ¼ quart of water from a birdbath. The birdbath now has ⅝ quart of water. How much water was in the birdbath before the dog’s drink?

Answers

Answer:

7/8 of a quart

The answer is 7/8ths

Sociologists have found that information spreads among a population at an exponential rate. How do you think this happens? Describe a piece of good news circulating through your circle of friends or family. How is this exponential?

Answers

Answer: Because people talk about important information

Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.

Please help me with this question!
Raoul rode an elevator up e floors. He entered the elevator on the 5th floor and exited on the 34th floor. Which equation shows an equality between two different ways of expressing the floor Raoul exited?

A.) 34 = 5 + e

B.) 34 = e - 5

C.) 34 = 5 - e

D.) 34 = 5e

Thank you for your time!~
Lots of love for you~ <3

Answers

Answer:

The answer would be c

Step-by-step explanation:

which number line shows the solutions to n > 0

Answers

It can be any number from 1 and up. So it’s the first one

The third line shows the solutions to n > 0.

The correct option is third line.

What is a number line?

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have a number-line.

To find the number line that shows the solution, n > 0:

n is greater than 0.

At 0, there is an open dot circle.

And the line should be extended toward positive infinity.

Therefore, third line is required number line.

To learn more about the number lines;

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Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.

Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?

A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05

Answers

Answer: $170.25 + $3.78x = $586.05

Step-by-step explanation:

En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la hipotenusa

Answers

Answer:

63 dm (aproximadamente)

Explicación paso a paso:

Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.

Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:

h = sqrt (54 ^ 2 + 32,4 ^ 2)

h = sqrt (2916 + 1049,76)

h = sqrt (3965,76)

h = 62,974280

h = 63 dm (aproximadamente)

Which equation represents a graph with a vertex at (1, -6)?
A. y=3x2+6x–3
B. y=3x2-6x-3
C. y=3x2-8x-1
D. y=3x2-3x-6

Answers

Answer:

the answer is B

Answer:

its b

Step-by-step explanation:

please answer this question

Answers

Answer:

D. 1,300

Step-by-step explanation:

how many times does 50 go into 2490

Answers

Answer:

49.

Step-by-step explanation: Because 2490 divided by 50 equal 49.8 if you needed.

The Awnser is 49 hope this helps

Solve for n:
12n + 3 – 3n = 30
n = ?

Answers

Answer:

n=3

Step-by-step explanation:

12n-3n=30-3

9n=27

n=27/9

n=3

Two spheres have a scale factor of 1:3. The smaller sphere has a surface area of 16 ft2. Find the surface area of the larger sphere.

Answers

Answer:

48ft^2

Step-by-step explanation:

Given that:

Small and large Spheres have a scale factor of 1 : 3

Hence,

Smaller sphere = 1

Larger sphere = 3

Surface area of smaller sphere = 16ft^2

Hence,

Surface area of larger sphere = (3 * 16ft^2) = 48ft^2

what is the value of the expression of -9 x 2.2

Answers

Answer:

-19.8

Step-by-step explanation:

hope this helps!

Which expressions are equivalent to sqrt root of 32x^6
Yes or No
A.(32x^6)^2
B.(32x^6)^1/2
C.x^3sqrt root of 2^5 D.4x^3sqrt root of 2 E.2x^3sqrt root of 2
F.2 2/5 x 2/6
G.2x^3 sqrt root of 8
H.(2^5x^6)^1/2

PLEASE HELP FIRST WILL GET BRAINIEST Thank you for your time! :)

Answers

It’s H F And A Thats is the thing you need to put but if you think I’m wrong then ok


Which statement below best describes what a ratio is.
A . A comparison
B. A comparison of many things
C.A number
D. A comparison of two quantities using diwasion

Answers

A. A ratio is a comparison

Arturo asked all of his classmates if they prefer soccer or football. He found that 16 students prefer football while 20 prefer soccer. Which ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class? StartFraction 5 Over 9 EndFraction StartFraction 4 Over 5 EndFraction StartFraction 5 Over 4 EndFraction StartFraction 9 Over 4 EndFraction

Answers

Answer: 4/5 (B)

Step-by-step explanation:

The ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

To determine the ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class

Here the number of students who prefer soccer = 20

The total number of students in Arturo’s class = 20 + 16 = 36

According to the given situation, the required ratio is written as:

The required ratio = students who prefer soccer / total number of students

The required ratio = 20 / 36

Convert the above fraction into the simplest form

The required ratio = 5/9

Therefore, the ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class

Learn more about the Ratios here:

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what is the HL postulate

Answers

Answer:

HL Postulate

Co vid-19 has led the world to go through a phenomenal transition .

E-learning is the future today.

Stay Home , Stay Safe and keep learning!!!

HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.  

AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )

∴ Δ ABC ≅ Δ DEF by RHS theorem

Theorem : Prove RHS theorem or postulate.

Given : AC = DF , BC = EF and ∠B = ∠E = 90 0

Prove that : ΔABC ≅ ΔDEF

Construction : Extend DE to G so that EG = AB. Join GF.

Statements

Reasons

1) AB = GE 1) Construction

2) ∠B = ∠FEG 2) Each 900

3) BC = EF 3) Given

4) ΔABC ≅ ΔGEF 4) By SAS postulate

5) ∠A = ∠G 5) CPCTC

6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal

7) AC = DF 7) Given

8) DF = GF 8) By transitive property

9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal

10) ∠A = ∠D 10) From (5) and (9)

11) ∠B = ∠E 11) Given

12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)

13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180

and ∠D + ∠E + ∠F = 1800

14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

HL is the the Hypothenuse Leg Postulate that sais that

If the hypotenuse and leg of one triangle are congruent

to the hypotenuse and leg of another triangle

then the triangles are congruent.

-3.6h = -10.8
what's h​

Answers

Answer: 3

Step-by-step explanation:

A photography studio charges $50 for a sitting fee and 6 prints. Luigi increased his order to 11 prints and paid $65. Write an equation in point-slope form.

HELP ME PLEASEEEE!!!

Answers

Answer: Sitting fee - 32$

Step-by-step explanation:

This is a system of equations(let x represent the sitting fee)

x+6y=50

x+11y=65

You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y

Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65

Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3

Now that y = 3 input this into any equation I choose the 1st one.

x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)

x = 32

Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True

A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

Find the area of the trapezoid. Please help!

Answers

Answer:

Area = 1/2 (a + b )h

area = 1/2 ( 22.2 + 8.52 ) 9.86

area = 1/2 ( 30.72) 9.86

area = 1 x 30.72 x 9.86 ÷ 2

area = 151. 4496cm²

Answer:

The area of the trapezoid is 151.45cm sq

PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch ​

Answers

graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5

graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2

graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4

graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3

I don't know if it's right tho :C

Answer:

The amount of fruit syrup Rex added is: 3 liters

and the amount of water he added is: 4 liters.

Step-by-step explanation:

3y = 2x + 6

x + y = 7

y = 7 - x

3(7 - x) = 2x + 6

21 - 3x = 2x + 6

21 - 6 = 2x + 3x

15 = 5x

15/5 = x

3 = x

x + y = 7

3 + y = 7

y = 7 - 3

y = 4

Solution is (3,4)

Unit 7 homework 1: Gina Wilson answer key
Does any one have the anwerkey?

Answers

The values for x are:

question 15 ⇒x=8

question 16⇒x=19

question 17⇒x=14

Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.

Sum of Interior Angles of Regular Polygon

There is a formula that relates number of sides polygon with its sum of interior angles. See below.

                                 S=(n-2)*180°

S=sum of interior angles of regular polygon.

n=number of sides of regular polygon.

Exercise 15

First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,

                                 S=(n-2)*180°

                                 S=(4-2)*180°

                                 S=2*180°=360°

Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.

Next step, sum of interior angles for finding x

                                  [tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]

                                      x=8

Exercise 16

First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,

                                 S=(n-2)*180°

                                 S=(6-2)*180°

                                 S=4*180°=720°

Next step, sum of interior angles for finding x.

                   [tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]

                   x=19

Exercise 17

First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,

                                 S=(n-2)*180°

                                 S=(5-2)*180°

                                 S=3*180°=540°

The image of the question shows the sides are congruent, consequently, the angles are equal.

Next step, sum of interior angles for finding x.

                    [tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]

                     x=14

Read more about sum of interior angles here:

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2 pens in each pack of black pens

5 pens in each pack of red pens

6 pens in each pack of green pens


On Monday

number of packs sold of black, red and green pens = 7 : 3 : 4

A total of 212 were sold.
work out the number of green pen solds

Answers

Answer:

24

Step-by-step explanation:

Put aside all of the other numbers and just focus on the amount of green pens in one pack and how many packs there are. Multiply those two numbers (6×4) to get 24. Hope this helped <3

Find the surface area of the cylinder in terms of pi

Answers

ya but there’s no picture of the cylinder

Answer:

can u include a picture of the cylinder pls luv

Step-by-step explanation:

Please help really quick, I'll give Brainliest. You only have to do Q1, but more is welcome.

Answers

Answer:

1) 90+30+x=180

x= 60

2) 2x+90=180

x= 45

3) angle SPQ

90+55+ SPQ=180

SPQ= 35

Therefore as op=os=radii= isosceles triangle

angles OPS=OSP

SPQ +QPO=OSP

35 + x = 55

x=20

4)110+ 90+90 +x=360

x=70

5)90 +90 +45+x=360

x=135

hope it helped.

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