Abram and Fred leave opposite ends of a bike trail 8.5 miles apart and travel toward each other. Abram is traveling faster than Fred. Find each of their speeds if they meet after 30 minutes.

Answers

Answer 1

Complete question :

Abram and Fred leave opposite ends of a bike trail 8.5 miles apart and travel toward each other. Abram is traveling 3mph faster than Fred. Find each of their speeds if they meet after 30 minutes.

Answer:

Fred's speed = 7mph

Abrams speed = 7 + 3 = 10 mph

Step-by-step explanation:

Given that :

Distance apart = 8.5 miles

Let :

Fred's speed = x

Abram's speed = x + 3

Time they meet = 30 minutes = 0.5 hour

Speed = distance / time

Distance = speed * time.

Fred's distance + Abram's distance = 8.5 miles

(x * 0.5) + (x + 3)*0.5 = 8.5

0.5x + 0.5x + 1.5 = 8.5

x + 1.5 = 8.5

x = 8.5 - 1.5

x = 7 mph

Fred's speed = 7mph

Abrams speed = 7 + 3 = 10 mph


Related Questions

Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?
point
line
X plane
distance
the correct answer is “ line “

Answers

Answer:

Sorry but I'm sort of confused, are you asking the question or not because you said "the correct answer is “ line “ so I'm not sure if you're giving the answer or asking a question.

Step-by-step explanation:

The length of a rectangle is 2x + 3. The width of the rectangle is x - 2. Which of the following represents the perimeter of the rectangle?

Answers

Answer:

6x+2

Step-by-step explanation:

The perimeter is the sum of all of the sides. A rectangle has four sides. You multiply each equation by two, and add the two equations together.

To get the perimeter, you have to add all sides. So you’ll have 2x+3+2x+3+x-2+x-2. So assuming I have done the math correctly, the answer should be 6x+2.

A flag pole 18 feet tall casts a shadow 12 feet long at a specific time of day. Find, to the nearest degree, the angle of elevation of the sun at this time of day.

Answers

Answer:

56°

Step-by-step explanation:

Given that:

Height of flagpole = 18

Length of shadow = 12

The angle of elevation of tbe sun at the time of the day = θ

Uding trigonometry :

Tanθ = opposite / Adjacent

Tan θ = height of flagpole / length of shadow

Tan θ = 18 / 12

Tan θ = 1.5

θ = tan^-1 (1.5)

θ = 56.309

θ = 56° (nearest degree)

SOMEONE PLEASE HELP!!

Answers

Answer:

C, 60 degrees

Step-by-step explanation:

Since "8" is the largest length on the triangle, that must mean that 90 degrees is the largest angle of the triangle. Plus, we know that whenever an angle is 90 degrees, no other measure of the triangle can be < 90 degrees. Therefore the answer cannot be B. Since "8" and "7" are very close (7 and x are a "pair" just like 8 and 90 degrees were), we can guess that x must be relatively close to 90 degrees. Therefore the closest answer to 90 degrees without being greater than 90 is C, 60 degrees.

What is cos(47)=x/3 solve for x

Answers

x=141 ..............



The equivalent value of {x} is equivalent to 2.046.

What is cosine function?

The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

Given is the expression as -

cos(47) = x/3

We have the expression as -

cos(47) = x/3

{x} = 3 cos(47)

{x} = 3 x 0.682

{x} = 2.046

Therefore, the equivalent value of {x} is equivalent to 2.046.

To solve more questions on algebraic expression, visit the link below -

brainly.com/question/1041084

#SPJ2


Which number line shows the solution of -6x + 18 < 30?


Answers

Answer:

number line a

Step-by-step explanation:

-6x +18 < 30

-6x < 12

x> -2

Answer:

its c

Step-by-step explanation: you subtract 18 from the left and add it to the right so you add 18 to 30 which gets you 48 then you divide 48 by -6 and reverse < to > since your dividing this by a negative

hopefully you understand give me a rate please!

Sheldon and Leonard are partners in a business. Sheldon makes $2 in profits for every $5 that Leonard makes. If Leonard makes $20 profit on the first item they sell, how much profit does Sheldon make?

Answers

Answer: 8. 20 is 4 times more than 5, so all we have to do is multiply 2 x 4 = 8. Would appreciate brainliest!

Sheldon makes a profit of $8.

What profit share ratio?

The ratio of profit share in a partnership is always constant irrespective of the amount of profit.

Given,

Sheldon makes $2 in profits for every $5 that Leonard makes.

Therefore, ratio of profits of Sheldon and Leonard is 2/5.

If Leonard makes profit of $20

Then,  Sheldon's profit / Leonard's profit = 2/5

           Sheldon's profit / 20 = 2/5

           Sheldon's profit  = $8

Hence, Sheldon makes a profit of $8 If Leonard makes $20 profit.

To learn more about profit share visit:

https://brainly.com/question/23423917

#SPJ1

Rina had 2 2/3 bags of peanuts. All of the bags held the same amount of peanuts when they were full. Of Rina's 2 2/3 bags of peanuts, 2/3 were roasted peanuts. How many bags of roasted peanuts did Rina have? (Please help)

Answers

Answer:

1.777777777

Step-by-step explanation:

Which graph represents a function?

Answers

Answer:

Graph B represents a function.

Step-by-step explanation:

Graph B is a quadratic function. y = x^2

A triangle has side lengths of ( 5.9 k + 9.3 m ) (5.9k+9.3m) centimeters, ( 3.6 k − 3.9 n ) (3.6k−3.9n) centimeters, and ( 3.5 n + 3.4 m ) (3.5n+3.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

(9.5k + 12.7m -0.4n) cm

Step-by-step explanation:

(5.9k+9.3m) + (3.6k−3.9n) + (3.5n+3.4m) = 9.5k + 12.7m -0.4n

masth help plz :D 10 pts

Answers

Answer:it is B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A school is arranging a field trip to the zoo. The school spends 688.95 dollars on passes for 42 students and 3 teachers. The school also spends 391.02 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student? how many dollars was spent per students

Answers

Answer:

The total spent on each student was $24.62. That is the pass and lunch

Step-by-step explanation:

$688.95÷45= $15.31 each oass

$391.02÷42=$9.31

15.31+931=$24.62

246000 in scientific notation

Answers

Answer:

2.46 x 10⁵

Step-by-step explanation:

Answer:

i wouldn't know that

Step-by-step explanation:

f(x) =1+√x-2 and g(x) = 10/x-1 find gf​

Answers

Answer:

[tex]gf(x))= \frac{10}{\sqrt{x-2} }[/tex]

Step-by-step explanation:

Explanation

Given function f(x) = [tex]1 + \sqrt{x-2}[/tex]    and  g(x) = [tex]\frac{10}{x-1}[/tex]

gf(x) = ([tex]g(1 + \sqrt{x-2})[/tex]  )

       [tex]= \frac{10}{1+\sqrt{x-2}-1 }[/tex]

       [tex]= \frac{10}{\sqrt{x-2} }[/tex]

[tex]gf(x))= \frac{10}{\sqrt{x-2} }[/tex]

Someone please check my work

Answers

Looks good to me I think you got her down

Kurt baked 9 batches of cookies. Each batch contained 9 cookies. How many cookies did Kurt bake?

Answers

9*9=81. So Kurt baked 81 cookies.

can you help me this tteacher answer the box and also the questions

Answers

Answer:

Step-by-step explanation:

2) x - y = 2/3

         [tex]x = \frac{2}{3} + y[/tex]

3) 3x +2y = 6

          3x = 6 - 2y

Divide the equation by 3

[tex]\frac{3x}{3}=\frac{6}{3}-\frac{2y}{3}\\\\x = 2 - \frac{2}{3}y[/tex]

4)

[tex]\frac{1}{4}x + y = 2\\\\ y = 2 - \frac{1}{4}x[/tex]

5) 4x - 3y = -33

         -3y = -33 - 4x

Divide the equation by (-3)

[tex]\frac{-3}{-3}y=\frac{-33}{-3} - \frac{4}{-3}x\\\\ y = 11 + \frac{4}{3}x[/tex]

1) Yes, it was easy to solve one variable in terms of the other.

2) Yes, it was easy to solve for y in terms of x. Coefficient of x was a fraction.

3) It will be easy if we take the value of x as multiples of 3

Example: if x = 3,

[tex]y = 11 + \frac{4}{3}*3 \\\\y = 11 + 4\\\\y = 15[/tex]

It is easy to plot (3 ,15)

coffee maker has the shape of a cone 10cm high with a radius of 6 cm at the top. The coffee maker is filled with water, and the water is allowed to drain out the bottom of the cone. Water is flowing out of the filter at a rate of 5 cubic centimerters per second. At what rate is the water level in the cone falling when it is 5cm from the bottom of the cone.

Answers

Answer: the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec

Step-by-step explanation:

Given the data in the question;

H/h = R/r

10/5 = 6/r

r 1 = 30/10 = 3

Also

10/h = 6/r

r2 = 6h/10 = 3/5 × h

Volume = 1/3πr²h

V = 1/3 × π × (3/5 × h)² × h

V =  1/3 × π × 9/25 × h³

V = 3π/25 × h³

Now

dv/dt = 3π/25 × 3 × h² × dh/dt

-5 = 3π/25 × 3 × 25 × dh/dt

-5 = 3π × 3 × dh/dt

-5 = 9π × dh/dt

dh/dt = -5/9π

dh/dt = -0.1768 cm/sec

therefore, the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec

X^2-(p^2+q^2)X+p^2q^2=0​

Answers

Answer:

if you want solve the X the answer is  x=p^2  x=q^2

if you want solve the P the answer is  p=√ x p=-√ x

if you want solve the Q the answer is q=√ x   q=-√ x

Step-by-step explanation:

Garth's taxable income last year was $97,450. According to the tax table
below, how much tax does he have to pay if he files with the Single status?

Answers

Answer:

$21,013

Step-by-step explanation:

Does anyone know the value of x and y?!?!

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

I'm not 100% sure but I substituted different numbers into the equation:

If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6

Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9

I'm more confident with x=4 and y=2 because of the small size of the triangle.

I hope this helps! Good luck! :)

X is 4 y is 2 ʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔ

Please hurry! What is the value of the expression when y=3?
12+ 4y2-7
A) 29
(B) 41
137
D
149

Answers

B. 41

Step-by-step explanation:

[tex] = 12 + {4y}^{2} - 7[/tex]

[tex] = 12 + {4(3)}^{2} - 7[/tex]

[tex] = 12 + 4(9) - 7[/tex]

[tex] = 12 + 36 - 7[/tex]

[tex] = 48 - 7[/tex]

[tex] = 41[/tex]

A group pre-orders 12 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs $32, so the debt for one ticket is -$32. The tour company adds a $20 fee for the entire order. Including the fee, which number represents the total debt?

Answers

Answer:

oh so you have -32 and you add 20 as the fee and your answer should be -12 I hope

helped or got it right

Step-by-step explanation:

katlyn stout

Answer:-404

Step-by-step explanation: you take -32 for each person so -32x12 then -20 for a one time fee that’s -32x12-20 gives you -404

Which point is located at (8, 6)?


PLEASE PLEASE PLEASE ANSWER! I MARK BRAINLIEST!

Answers

Answer:

Go to the right 8 times from the

0,0 point and after you go right 8 times go up 6 times then there you go.

Step-by-step explanation:

Read answer

m + 4 = 17

Please help

Answers

Answer: m=13

Step-by-step explanation:

Basically you solve this by finding out what plus 4 equals 17. You can do this by subtracting 4 from 17.

17-4=13

This is how you find the value of m.

Answer:

13!

Step-by-step explanation:

first subtract 4 on both sides!

m+4=17

m+4-4=17-4

simplify/subtract 17-4=13!

(also stop reporting my comment and my answers!)


The answer to (-15) + 33​

Answers

Answer:

18

Step-by-step explanation:

33-15=18

Answer:

18

Step-by-step explanation:

An airplane leaves the ground in Seattle at 11:23PM on Tuesday and lands in San Francisco 1AM. Compute the average speed of the plane while it is in the air. Express your answer in meters per second to appropriate precision (pay attention to significant figures), SHOW YOUR WORK.

Answers

Answer:

223.34 m/s

Step-by-step explanation:

Given :

Travel time = 11 :23 pm to 1:00 a. M = 1 hour 37 minutes = (60 + 37) = 97 minutes = (97 * 60) = 5820 seconds

Distance between Seattle and San Francisco is

807.7 miles (culled from the internet)

807.7 miles = 1299867.1 meters

Average speed = Distance covered / Time taken

Average speed = 1299867.1 m / 5820 s

Average speed = 223.34486

Average speed = 223.34 m/s

Factor the polynomial. 5n^2 +10n​

Answers

Hi there!

[tex]\large\boxed{5n(n + 2)}[/tex]

Factor the polynomial by finding the GCF from each term:

5n² + 10n

Both terms share "5n", so we can factor this out of the expression:

5n(n) + 5n(2)

5n(n + 2)

There are 8 boys in a class, and these boys make up 40% of the total students. How many students in the class are girls? *​

Answers

Answer:

12 girls

Step-by-step explanation:

do you want an explanation?

plz brainliest :)

Is every invariant and ergodic measure for the {\displaystyle \times 2,\times 3}\times 2,\times 3 action on the circle either Lebesgue or atomic? HELLPPPPPP PLSSSSS

UR WELCOME FOR 100 POINTS AND HAVE A GREAT DAY<3

Answers

yes lasinsnxisnxnsoskzkosnxnsnsnd

Answer: is this an actual question. if so , could u post the picture that may go along with it ? lol

Step-by-step explanation:

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