Two cyclists, 90 mi apart, start riding towards each other at the same time. One cycles twice as fast as the other. If they meet 3 hr later, at what average speed is each cyclist traveling?

Answers

Answer 1

Answer:

The slower cyclist's speed is 10 mph, and the faster cyclist's speed is 20 mph.

Let's denote the speed of the slower cyclist as "x" miles per hour (mph). Since the faster cyclist is going twice as fast, their speed would be "2x" mph.

When they start riding towards each other, their combined speed is the sum of their individual speeds:

Combinedspeed = x + 2x

= 3x mph.

We are given that they meet 3 hours later and travel a totaldistance of 90 miles.

The distance each cyclist travels can be calculated using the formula:

Distance = Speed × Time.

For the slower cyclist:

Distance = x × 3

Distance = 3x miles.

For the fastercyclist:

Distance = 2x × 3

Distance= 6x miles.

Since they are 90 miles apart and have traveled a total distance of 90 miles when they meet, we can set up an equation:

Distance of slower cyclist + Distance of faster cyclist = Total distance

3x + 6x = 90.

Simplify the equation:

9x = 90.

Divide both sides by 9:

x = 10.

So, the speed of the slower cyclist is 10 mph, and the speed of the faster cyclist is 2x which is 20 mph.

To learn more on Speed click:

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One catalog offers a jogging suit in two colors, gray and black. It comes in sizes S, M, L, XL and XXL. How many possible jogging suits can be ordered? PLEASE HELP NO LINKS!!!

Answers

Answer:

5..

Step-by-step explanation:

Is 9 prime, composite, or neither?

prime
composite
neither

Answers

A prime number has only itself and 1 as factors
A composite number can be divided evenly by a number that is not itself or 1
Neither would be 1 and negative numbers, as 1 only has one factor (itself) and the terms prime and composite do not include negative numbers.
9 is perfectly divisible by 3 so it is composite.

Answer:

9 has the following factors: 1,9,3

Thus, it is composite

Step-by-step explanation:

Jana and her friend bought 4 hamburgers, 3 orders of fries, and 2 milk shakes for $3 each. They paid for the food with $20. Which part of the equation represents the total cost of their items? Justify your answer. c = $20 - (4h + 3f + 6)

A) $20; They paid $20 for the food.
B) (4h + 3f); Find the total cost by adding the price of 4 hamburgers to the price of 3 fries
C) 4h + 3f + 6; Find the total cost by adding the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.
D) c = 20 - (4h + 3f + 6); Find the total cost by subtracting the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.

Answers

For this case we have the following variables:

h: Cost of each hamburger bought by Jana and her friend

f: Cost of each order of potato chips bought by Jana and her friend

b: Cost of each milkshake

If you bought 4 hamburgers, 3 orders of potatoes and 2 milkshakes, you have a cost of:

$Cost = 4h + 3f + 2b$

It is known that each shake costs $ 3, so $b =3$ $

Substituting we have:

$Cost = 4h + 3f + 2 * 3$

$Cost = 4h + 3f + 6$

Thus, the total cost is given by:

$Cost = 4h + 3f + 6$

Answer:

$Cost = 4h + 3f + 6$

Option C

I believe the correct answer is C

What is the area of this trapezoid?

The area of the trapezoid is __ square units.

Answers

Answer:

its all black;-; that just color black

Step-by-step explanation:

how we going to see it if that is black

Simplify and identify and x-values for which the expression is undefined. 4x-8 divided by x^2-2x

Answers

$(4x-8)/(x^2-2x)=(4(x-2))/(x(x-2))=(4)/(x)\n\n\n\nx^2-2x\neq0\Rightarrow x(x-2)\neq0\Rightarrow x\neq0\ \wedge\ x\neq2$

What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

$(3-2n)/(n-4)$

Step-by-step explanation:

We have been given the expression

$(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)$

Let us write the numerator and denominator of first expression in factored form using AC method.

$n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)$

And the factors of denominator is

$n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)$

Therefore, the expression becomes

$((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)$

Thus, the simplified form is $(3-2n)/(n-4)$

The answer is $(-2n+3)/(n-4)$

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