ANSWER FAST Which statement about numbers is true? All whole numbers are rational numbers. All rational numbers are integers. Al
2 answers:
Answer:
The statement "(a) all whole numbers are rational numbers" is true.
Step-by-step explanation:
A rational number is the number which can be expressed in the from of , where p, q are integers and q\neq0.
(a.) As all the whole numbers (0,1,2,3...) can be expressed in the form of p/q having q=1.
Hence, the statement "(a) all whole numbers are rational numbers" is true.
(b). As the rational numbers can have the fractional value but any integers don't have fractional value, so all the rational numbers are not integers.
Hence, the statement "(b). All rational numbers are integers" is not true.
(c). As the rational numbers can have the fractional value but any whole numbers don't have fractional value, so all the rational numbers are not whole numbers.
Hence, the statement "(c). All rational numbers are whole numbers." is not true.
(d). Integers( ...,-2,-1,0,1,2,...) can be negative, but the whole numbers (0,1,2,...) can't be negative. So, all integers can't be whole numbers.
Hence, the statement "(d). All integers are whole numbers" is not true.
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Taking into account the supplied speeds, Boston is from the destination to:
- 240 miles
To identify the distance between Boston and the destination of the trains, it must be remembered that the <u>speed</u> mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :
- Regular train: 60 miles
- Express train: 80 miles
According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.
Therefore, in <u>three hours</u>, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:
And clearing the distance:
Therefore, the destination would be <u>240 miles</u> from Boston, which would take four hours by regular train and three hours by express train.
If you want to learn more about Mathematics, you can visit the following link: brainly.com/question/24600056
Combination tells the number of ways an object can be arranged. The number of all of the possible combinations Gabby can have is 9.
<h3>What is Combination?</h3>The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
where,
n is the number of choices available,
r is the choices to be made.
We know that the number of options of the flower with Gabby is 3( daisies, carnations, or sunflowers) and the color choices she has is (clear, red, or blue), therefore, she choices for the flower, also, she has
choices for color.
Hence, the number of all of the possible combinations Gabby can have is 9.
Learn more about Combination:
Answer:
1728 cubic inches
Step-by-step explanation:
Given that the formula
,
where s represents the length of an edge that can be used to find the value of a cud.
Given that a cud has edge as 12 inches
Using the above formula we can find volume by substituting for s.
Here we substitute s =12 inches so that we get volume in cubic inches
Volume of the cud =
1728 cubic inches