Answer:
The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.
The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.
Step-by-step explanation:
Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.
Here we can see that in first case:
The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.
Case 2:
The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.
So only these two examples are based on deductive reasoning.
Answer:
13/90 > 1/7 or 1/7 < 7/90
Step-by-step explanation:
to compare two rational expression you should make the denominator equal
1/7 ➡ ×90 = 90/630
13/90 ➡ ×7 = 91/630
Expression (non-algebraic): 3+2
An equation: 2x +1 = 21
An inequality: 2x > 2+2
Answer:
12 / 32 ÷ 4/4
12 ÷ 4 = 3
32 ÷ 4= 8
Step-by-step explanation:
To prove equivalency of fractions, we must always break down fractions to it's lowest possible term.
12/ 32 can still be broken further.
Let's divide the numerator and denominator by thesame number
12 / 32 ÷ 4/4
12 ÷ 4 = 3
32 ÷ 4= 8
That's a show that:
12/32 when broken down to it's lowest term becomes 3/8
Please find attached a chart. Compare fractions of shaded to unshaded to give a clearer understanding of equivalent fraction.
Answer:
a) 35, b) 25, c) 60
Step-by-step explanation:
The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.
Number of boys: b
Number of girls: b + 10
Ratio of girls:boys is 7:5, so

"Cross multiply" to get

There are 25 boys. There are 10 more girls, so the number of girls is 35, and the total number of students is 60.
That's a packed classroom!