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professor190 [17]
2 years ago
7

The hare challenged the tortoise to a rematch race. This time, the hare ran the same speed of 15 meters per second the whole rac

e. The hare didn't even take nap this time. To be nice, the hare gave the tortoise a head start. The tortoise started 200 meters ahead. The tortoise ran 7 meters per second. Create a system of equations to model this situation.​
Mathematics
1 answer:
RUDIKE [14]2 years ago
6 0

Answer:

\left \{ {{h=15s} \atop {t=7s+200}} \right.

Step-by-step explanation:

Let h be equal to the number of meters the hare travels.

Let t be equal to the number of meters the tortoise travels.

Let s be equal to the number of seconds that pass.

The hare travels at a speed of 15 meters per second, which means 15s represents the number of meters the hare travels depending on the number of seconds that pass.

h=15s

The tortoise travels at a speed of 7 meters per second, which means 7s represents the number of meters the tortoise travels depending on the number of seconds that pass.

t=7s

However, because the tortoise got a 200-meter head start, we need to add 200 meters to our equation.

t=7s+200

Here is our system of equations:

\left \{ {{h=15s} \atop {t=7s+200}} \right.

I hope this helps!

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One number is 2 more than 3 times another. their sum is 22. find the numbers.
kramer
This question is asking for the value of two numbers, which we can label as:

#1 = x
(Any value we do not know can be represented with a variable)
#2 = 3x + 2
("2 more" means + 2, and "3 times" means multiply by 3. The "another" is the variable we talked about before. Combining everything we have 3x + 2).

The last piece of information we are given is that the sum of the two numbers is 22. The word sum indicates that we need to add the two numbers, and when they added they will equal the integer 22.
(x) + (3x + 2) = 22
x + 3x + 2 = 22
Combine like terms
4x + 2 = 22
Subtract 2 from both sides
4x = 20
Divide 4 from both sides
x = 5

This sole value of "x" already gives us the value of the first number. Since our second number is "3x + 2", all we have to do is plug in the value of x into the expression.

3x + 2 = 3(5) + 2 = 15 + 2 = 17
The second number is 17.

Final Answer: The two numbers are 5 and 17.
(If you want to check, add the two numbers and make sure they add up to 22 and multiply 5 by 3 and add 2.)

8 0
3 years ago
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What is the volume of this rectangular prism 7/5 CM by 5 cm and 7/2 cm
Step2247 [10]

Answer:

V=\frac{49}{2}\ cm^3

or

V=24.5\ cm^3

Step-by-step explanation:

we know that

The volume of the rectangular prism is

V=LWH

where

L is the length

W is the width

H is the height

substitute the given values in the formula

V=(\frac{7}{5})(5)(\frac{7}{2})

V=\frac{245}{10}\ cm^3

Simplify

V=\frac{49}{2}\ cm^3 ---> fraction form

or

V=24.5\ cm^3 ----> decimal form

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Answer:

i think it a and c

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Answer:

168 and 12

Step-by-step explanation:

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A regular six-sided die is rolled 1000 times. Use the binomial distribution to determine the standard deviation for the number o
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The standard deviation for the number of times an odd number is rolled is 15.8

<h3>How to determine the standard deviation?</h3>

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The standard deviation is then calculated as;

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Read more about standard deviation at:

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