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 solution for 4x +14 = 66

Answers

Answer:

x = 13

Step-by-step explanation:

4x + 14 = 66

     -14     -14

---------------------

     4x = 52

     ----   ----

      4      4

      x = 13

w/4 + 12.5 - 7z what term has a coefficient


Pls help me.

Answers

w/4 and 7z both have coefficients

This expression contains 3 terms.

7z is the term with a coefficient.

12.5 is the constant term in the expression.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, w/4 + 12.5 - 7z.

There are 3 terms in this expression.

The term that has a coefficient is 7z.

The constant term in the expression is 12.5.

learn more about equations here :

https://brainly.com/question/14686792

#SPJ2

Find the missing quantity in the double number line.

Answers

Answer: 7

Step-by-step explanation:

just use a comparison

3/12 = x/28

1/4 = x/28

x = 7

Answer:

szxdcfgvhbjnk

Step-by-step explanation:

NEED HELP ASAP GIVING BRAINLEST TO CORRECT ANSWER

Rob is saving to buy a new MP3 player. For every $16 he earns babysitting, he saves $7. On Saturday, Rob earned $96 babysitting. How much money did he save? If he earned $96, he saved $_____.

Answers

Answer:

$42

Step-by-step explanation:

Are rectangles ABCD and WXYZ congruent? Why or why not?

A. Yes, all right angles were preserved

B. Yes, both rectangles have an area of 24 square units.

C. Yes, a 180° rotation about the origin will map ABCD to WXYZ.

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answers

Answer:

D.

Step-by-step explanation:

ABCD area =12

WXYZ area=24

Answer:

D

Step-by-step explanation:

Mr. Jacobs wants to save over $3,400 for a car. He has a savings account balance of $800 and will make equal weekly deposits for the next 25 weeks.

How much money should Mr. Jacobs deposit each week?

Answers

Answer:

64$

Step-by-step explanation:

Mr. jacobs should deposit $104 a week

"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?
(a) The number is not a perfect square.
(b) The number is a perfect square.
(c) The number is a prime number.
(d)None of these​

Answers

Answer:

As the number is a prime number. Therefore, option 'c' is true.

Step-by-step explanation:

Let us take the number 7 and divide it by 4

[tex]\frac{7}{4}[/tex]

We know that

[tex]Quotient\frac{Remainder}{Divisor}[/tex]

as

[tex]\frac{7}{4}=1\frac{3}{4}[/tex]

so the remainder is 3.      ∵ [tex]Quotient\frac{Remainder}{Divisor}[/tex]

As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.

Thus, the number is a prime number. Therefore, option 'c' is true.

Select the best estimate of the product of 71 x 28 = ____ 1,300 2,100 3,200 4,500

Answers

Answer:

2100

Step-by-step explanation:

71 ->70

28 ->30

70 * 30 = 2100

i messed up sorry





















Item 9
Question 1
Write the word sentence as an equation. Then solve.

A number x multiplied by 2/5 is 3/20.

Equation:

Question 2
Solution: x=

Answers

Answer:

x2/5=3/20 it is the equation

and when we solve it

x2/5=3/20

x2/5×5/2=3/20×5/2

x=15/40 when we simplify it by 5 it is

x=3/9 it is the answer for the question.

How many ways are there to
adjust two quantities so that they are in a
given proportional relationship?

Answers

Answer:

2 or 3

Step-by-step explanation:

A school group is planning a trip to Jacksonville, Florida. There are 29 people going on the trip. They have agreed to share the total cost of the trip equally. Let s equal each person’s share of the cost. What is each person’s share of the cost? Solve this problem any way you choose. bus cost 7,830$ the hotel cost 10,034$ the meal cost 812$ the event ticket cost 435$ the cost of eveyting is 19,111$

Answers

Answer:659

Step-by-step explanation:

Subtract
-b + 3 from – 116 – 4

Answers

Answer:

-123-b

Step-by-step explanation:

-116-4-(b+3)

-123-b

9th grade please help

Answers

Answer:

D.) This system has infinitely many solutions

Step-by-step explanation:

y = -4x - 6

-4x - y - 6 = 0

-4x - y - 6 = 0

-y = 4x + 6

-y/-1 = 4x/-1 + 6/-1

y = -4x - 6

There are infinitely many solutions, because both of the lines are exactly the same. As show below ! Hope this helps once again ^w^

Solve the following linear inequality.
3 x - 15 5-6
A. x < 12
B.x > 12
C.x < -12 D.x > 12

Answers

Answer:

SOLVE FOR C

c=2−

x

6

x

2

3

,x

=0

SOLVE FOR X

{

x=

2−c

3

(

5−c

+

3

)

; x=

2−c

3

(−

5−c

+

3

)

,

x=−

2

1

,

 

c

=2 and c≤5

c=2

Charles charges 4 an our to baby sit he also adds an extra 10 dollars onto the total for families with more than 3 children. How much will charles charge to baby sit 4 children for 4 hourss

Answers

14? i’m wrong but what everyone

Answer:

i beleve 26 or 48

good luck

Permutations vs combinations(one step):

The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?

Answers

Answer:

the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.

Step-by-step explanation:

In the given question we have to choose a president, vice

president, and secretary.

Permutations are used when order is important so, as in the given question order is required. We would use permutations

The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:

n=total number of objects

r=number of objects selected

In our case: n=15, r=3

Putting values and finding the answer:

[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]

So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.

A particle is moving along the number line so that its distance (in meters) from the origin at any time t (in seconds) is given by s(t) = 8t2 + ln t.

The velocity of the particle at t = 1 second is:

Answers

Answer:

The velocity is 17 m/s

Step-by-step explanation:

To find the velocity, we find the first differential of the displacement

That will be

S’(t) = 16t + 1/t

We simply proceed to replace t with 1

That will give;

16(1) + 1/1

= 16 + 1 = 17 m/s

PLEASE HELP AND SHOW WORK IF YOU CAN​

Answers

Answer:

c) XY > RS

= true

Step-by-step explanation:

Firstly know the meaning of each sign given

> means is greater than

= means is equal to

a)XZ > ST

XZ = 8

ST = 11 - greater

= false

b) XY = RS

Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.

XY is longer than RS

= false

c) XY > RS

= true

d) RS > XY

RS is shorter than XY hence not greater.

= false

Linda put $130 to start a bank account. At the end of each week, Linda goes to the bank and either makes a withdrawal (takes money out) or a deposit (puts money in). The first four weeks of Linda's bank activity are listed. Week 1: withdraws $125 Week 2: deposits $400 • Week 3: withdraws $240 • Week 4: deposits $183 She wants to use the money she has her account to buy a music system worth $575. How much more money does she need? A $218 B. $227 C. $348 $357​

Answers

Answer:

?

Step-by-step explanation:

Answer:

227

Step-by-step You subtract 130 with 125 which will give you 5 Then you add 400 which is 405 then you subtract 405 by 240 which is 165 and finnaly you add 165 with 183 and get 348. You then take that 348 and subtract it by 575

( 575 - 348 ) and get 227.

Add the two expressions.
-6.56 + 11 and 3.36 - 2

Answers

Answer: 4.1

Step-by-step explanation:

Hope it helped! Brainliest??

If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gym string to be a better buy?

Answers

Answer:

It would take 28 months for Gym Strong to be a better buy.

Step-by-step explanation:

There are two possible options for gyms to choose from:

Gym Strong charges $350 plus $15 a month

Gym Fit charges $100 plus $24 a month.

Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.

Let's solve this by analyzing the differences in fixed fees and monthly fees.

The difference of fixed fees is $350 - $100 = $250

The difference on monthly fees is $24 - $15 = $9

Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.

It would take 28 months for Gym Strong to be a better buy.

Simplify the expression 3t+5t-2t=6t

Answers

Answer:

t=1

Step-by-step explanation:

First combine the like terms

3t+5t+2t=6t 3+5-2=6

6t=6t

then divide each side by 6 to simplify

6t=6t

-------

6 6

t=6/6

t=1

If you answer properly i will make you brainliest.

Answers

Answer:

2C + 5F > 175

Step-by-step explanation:

C = croissant F = french bread

You make $2 for each C, $5 for each F.

Since you don't know the actual numbers, you would use the variable C and F for later.

Added together, it must be greater than $175, so use the > sign.

Answer:

2.00C + 5.00F > 175

Step-by-step explanation:

I need Help Pleaseeee

Answers

Answer:

m∠C = 54°, m∠CDB = 100°

Step-by-step explanation:

in ΔABC, m∠A= 37° and m∠B = 89°

The sum of all 3 angles in any triangle is 180° so

m∠C = 180-37-89 = 54°

m∠CDB = 180-80 = 100° because any line has a 180°angle

Pls solve this...need help thanks :)​

Answers

Step-by-step explanation:

2² * 3 * 5 = 4 * 3 * 5 = 60.

3² * 5² = 9 * 25 = 225.

Answer:

A) 60

B) 225

Step-by-step explanation:

A) The factorization of a number is finding the factors that, when multiplied together, form the original number. As an example, one instance of the factorization of 24 would be 6 and 4, since 6 × 4 = 24.

The prime factorization of a number is finding the factors of a number and restricting them to only include primes, which are numbers with no other factors except themselves and 1.

Hence, all you have to do for A) is to multiply all the factors together, which is [tex]2^{2} \cdot 3 \cdot 5[/tex], which equates to 60.

B) Since this three-digit number has 5 as a prime factor, it has to end in a 5 or 0. This narrows our search hugely.

Accounting for the fact it has a 3 as a prime factor, the number has 3 × 5 = 15 as a factor. This yet again narrows our search hugely.

Finally, to find the square number, there is actually a really simple way of doing this; simply square 15 to get 225. We can confirm this is a square number because we squared 15 to get that number; hence, 225 is an answer.

Hope this helped!

Directions: Identify the slope (m) and y-intercept (b) of the graph of each equation.
y = -42 - 12
m =
b=

Answers

From what you have, it looks like the answer will be:
M=-42
B=-12

Hope this helps:)

Logan multiplied 54,216 by a number less than 1. He thinks the product will be greater than 54,216. Explain why he is incorrect.

Answers

He is incorrect because anything mutipled by 0 is 0!

16. Rosa deposited $500 in a savings account with a SIMPLE interest rate of 3% per year. If she made
no other deposits or withdrawals, how much interest would she earn after 2 years? *
(5 Points)
$1.50
$15.00
$3.00
$30.00

Answers

30 because 3% of 500 is 15then you multiply that by 2

Find the range and the interquartile range for 28,29,33,28,27,32,30,27

Answers

Answer:

33 - 27 = 6

Step-by-step explanation:

Answer:

6, 4.25

Step-by-step explanation:

Population size:8

Lowest value: 27

Highest value: 33

Range: 6

Interquartile Range: 4.25

PLEASE ANSWER THE QUESTION ASAP!!!!

Answers

Answer:

B

Step-by-step explanation:

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