MATHEMATICS MIDDLE SCHOOL

Two cyclist leaves town 200 mi apart at the same time and travel toward each other. One travels at 10mi/h slower than the other. The they meet in 5 hours, what is the rate of each cyclist

Answers

Answer 1
Answer:

Let x be the rate of speed of slower cyclist

and x+10 = rate of speed of faster cyclist

Distance = Speed * Time

5x + 5(x+10) = 200

5x + 5x + 50 = 200

10x = 200-50

10x = 150

x = 15

Rate of speed of slower cyclist: 15 mph

Rate of speed of faster cyclist = 15+10 => 25 mph
Answer 2
Answer:

Final answer:

In this problem, the speed of the faster cyclist is 25 mi/h and the speed of the slower cyclist is 15 mi/h. We determine this by setting up and solving an algebraic equation considering the total distance and time they traveled.

Explanation:

This problem is a typical example of relativerate and distance problems in algebra. First, define the speed of the faster cyclist as x m/h. Then, the speed of the slower cyclist is x-10 m/h. They travel towards each other, so their rates add up. That's why the equation becomes x+(x-10) = 200/5. We get this equation because the total distance they traveled is 200 miles (meeting in the middle), and they traveled for 5 hours.

Solving the equation x+(x-10) = 40 gives 2x-10 = 40, then 2x = 50, and finally x = 25. So, the faster cyclist is moving at 25 mi/h, and the slower cyclist is moving at 15 mi/h (25-10).

Learn more about Relative Rates here:

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A Bb guinea pig crosses with a Bb guinea pig, and four offspring are produced. all of the offspring are black. explain how this could happen.

Answers

Answer:

The answer is explained below.

Step-by-step explanation:

In this case, all of the offspring are black. For this to happen, the following conditions must occur:

The B must be the dominant gene. Besides that, it is necessary to point out that both parents are black, which directly impacts the offspring, making them the same color.
Because both the dominant and reccesive genes are coding for black

5( q + 27 ) - -30=95

Answers

STEPS:

First distribute the 5 through the parentheses to get 5q + 135. So the problem now reads 5q + 135 - (-30) = 95.

Now, minus a negative can be changed to plus a positive so - (-30) can be changed to +30 so our equation now reads 5q + 135 + 30 = 95.

Before adding or subtracting anything from both sides of the equation, make sure you simplify the left side as much as possible. Notice that we can add 135 and 30 to get 165 so the left side simplifies to 5q + 165 = 95.

Now we can simply subtract 165 from both sides of the equation to get 5q = -70.

Now simply divide both sides of the equation by 5 to get q = -14.

What is 31.75 to the nearest tenth

Answers

the answer to that question is 31.80
31.75 rounded to nearest tenth is 31.8
because the 5 rounds up the 7 to 8
so the answer is 31.8

Hope this helped!! :D

Lamar and Avalyn are raking leaves around a tree in their backyard. The tree has a diameter of 2 feet and is surrounded by a circle of leaves that is 24 feet in diameter. What is the area in square feet of the ground covered by leaves? Use 3.14 for π.(a) 377.94 ft² (c) 452.16 ft²
(b) 449.02 ft² (d) 530.66 ft²

please help!!!!!

Answers

Answer is (b). 449.02 sqr ft. Total area including tree and leaves will be: π r^2 = 3.14 * (12)^2 = 3.14*144 = 452.16 sqr ft Area of tree: π r^2 = 3.14 * (1)^2 = 3.14*1 = 3.14 sqr ft. So, the area covered by leaves will be: 452.16-3.14 = 449.02 sqr ft

If a baseball and a bat cost $1.10 together, and the bat costs $1.00 more than the ball, how much does the ball cost?

Answers

Contrary to the above answer, the ball does not cost $0.10! If the ball were to cost 0.10 then the bat must cost $1.00 which is only $0.90 more than the ball! We can solve this equation correctly using an expression like so:
b = price of the ball
b + 1 = price of the bat
b + (b + 1) = price of the ball + price of the bat
b + b + 1 = 1.10
Therefore reareanging the equation:
2b = 0.10
And therefore:
b = 0.05
So the ball costs $0.05 and the bat costs $1.05 :))

What is 8 + 4x + 5???

Answers

Answer:

4x+13

Step-by-step explanation:

step 1. combine like terms  4x+8+5

Step 2. solve it  by adding 4x+13

ANSWER:

4x+13

STEP:

Add 8 and 5. You cannot add a number t a variable. So leave 4x+13 as the way it is.

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